00001 #ifndef _CML_noble_varghese_kohl_noble_1998_basic_backward_
00002 #define _CML_noble_varghese_kohl_noble_1998_basic_backward_
00003
00004
00005
00006
00007
00008
00009 #include <cmath>
00010 #include <cassert>
00011 #include "AbstractBackwardEulerCardiacCell.hpp"
00012 #include "CardiacNewtonSolver.hpp"
00013 #include "Exception.hpp"
00014 #include "AbstractStimulusFunction.hpp"
00015 #include "OdeSystemInformation.hpp"
00016
00017
00018 class BackwardEulerNobleVargheseKohlNoble1998 : public AbstractBackwardEulerCardiacCell<12>
00019 {
00020 friend class TestFastSlowBackwardEulerNoble98;
00021
00022 public:
00023 BackwardEulerNobleVargheseKohlNoble1998(AbstractIvpOdeSolver *pSolver,
00024 AbstractStimulusFunction *pIntracellularStimulus)
00025 : AbstractBackwardEulerCardiacCell<12>(22, 0, pIntracellularStimulus)
00026 {
00027 MakeVars();
00028 }
00029
00030
00031 BackwardEulerNobleVargheseKohlNoble1998(AbstractStimulusFunction *pIntracellularStimulus)
00032 : AbstractBackwardEulerCardiacCell<12>(22, 0, pIntracellularStimulus)
00033 {
00034 MakeVars();
00035 }
00036
00037 private:
00038 void MakeVars()
00039 {
00040 mpSystemInfo = OdeSystemInformation<BackwardEulerNobleVargheseKohlNoble1998>::Instance();
00041 Init();
00042
00043 }
00044 public:
00045 ~BackwardEulerNobleVargheseKohlNoble1998(void)
00046 {
00047 }
00048
00049 void VerifyGatingVariables()
00050 {
00051
00052
00053
00054 assert(rGetStateVariables()[1]>=0);
00055 assert(rGetStateVariables()[1]<=1);
00056
00057 assert(rGetStateVariables()[2]>=0);
00058 assert(rGetStateVariables()[2]<=1);
00059
00060 assert(rGetStateVariables()[3]>=0);
00061 assert(rGetStateVariables()[3]<=1);
00062
00063 assert(rGetStateVariables()[4]>=0);
00064 assert(rGetStateVariables()[4]<=1);
00065
00066 assert(rGetStateVariables()[5]>=0);
00067 assert(rGetStateVariables()[5]<=1);
00068
00069 assert(rGetStateVariables()[6]>=0);
00070 assert(rGetStateVariables()[6]<=1);
00071
00072 assert(rGetStateVariables()[7]>=0);
00073 assert(rGetStateVariables()[7]<=1);
00074
00075 assert(rGetStateVariables()[10]>=0);
00076 assert(rGetStateVariables()[10]<=1);
00077
00078 assert(rGetStateVariables()[11]>=0);
00079 assert(rGetStateVariables()[11]<=1);
00080
00081 }
00082
00083 void VerifyStateVariables()
00084 {
00085 VerifyGatingVariables();
00086
00087
00088
00089
00090 assert(rGetStateVariables()[14]>=0);
00091 assert(rGetStateVariables()[15]>=0);
00092 assert(rGetStateVariables()[16]>=0);
00093
00094
00095 #define COVERAGE_IGNORE
00096 if (rGetStateVariables()[17]<=0)
00097 {
00098 std::cout<<"Warning a Calcium-related concentration is negative: "<<rGetStateVariables()[17]<<"\n";
00099
00100 }
00101 #undef COVERAGE_IGNORE
00102 assert(rGetStateVariables()[18]>=0);
00103 assert(rGetStateVariables()[19]>=0);
00104 assert(rGetStateVariables()[20]>=0);
00105 assert(rGetStateVariables()[21]>=0);
00106 }
00107
00108
00109
00110 double GetIIonic()
00111 {
00112 std::vector<double>& rY = rGetStateVariables();
00113 double var_membrane__V = rY[0];
00114
00115 double var_rapid_delayed_rectifier_potassium_current_xr1_gate__xr1 = rY[1];
00116
00117 double var_rapid_delayed_rectifier_potassium_current_xr2_gate__xr2 = rY[2];
00118
00119 double var_slow_delayed_rectifier_potassium_current_xs_gate__xs = rY[3];
00120
00121 double var_fast_sodium_current_m_gate__m = rY[4];
00122
00123 double var_fast_sodium_current_h_gate__h = rY[5];
00124
00125 double var_L_type_Ca_channel_d_gate__d = rY[6];
00126
00127 double var_L_type_Ca_channel_f_gate__f = rY[7];
00128
00129 double var_L_type_Ca_channel_f2_gate__f2 = rY[8];
00130
00131 double var_L_type_Ca_channel_f2ds_gate__f2ds = rY[9];
00132
00133 double var_transient_outward_current_s_gate__s = rY[10];
00134
00135 double var_transient_outward_current_r_gate__r = rY[11];
00136
00137 double var_intracellular_sodium_concentration__Na_i = rY[14];
00138
00139 double var_intracellular_potassium_concentration__K_i = rY[15];
00140
00141 double var_intracellular_calcium_concentration__Ca_i = rY[16];
00142
00143 double var_intracellular_calcium_concentration__Ca_ds = rY[17];
00144
00145
00146 const double var_membrane__R = 8314.472;
00147 const double var_membrane__T = 310.0;
00148 const double var_membrane__F = 96485.3415;
00149 double var_reversal_potentials__K_i = var_intracellular_potassium_concentration__K_i;
00150 double var_reversal_potentials__R = var_membrane__R;
00151 double var_reversal_potentials__T = var_membrane__T;
00152 double var_reversal_potentials__F = var_membrane__F;
00153 const double var_extracellular_potassium_concentration__K_o = 4.0;
00154 double var_reversal_potentials__K_o = var_extracellular_potassium_concentration__K_o;
00155 double var_reversal_potentials__E_K = ((var_reversal_potentials__R * var_reversal_potentials__T) / var_reversal_potentials__F) * log(var_reversal_potentials__K_o / var_reversal_potentials__K_i);
00156 double var_time_independent_potassium_current__E_K = var_reversal_potentials__E_K;
00157 double var_time_independent_potassium_current__K_o = var_extracellular_potassium_concentration__K_o;
00158 double var_time_independent_potassium_current__R = var_membrane__R;
00159 double var_time_independent_potassium_current__V = var_membrane__V;
00160 double var_time_independent_potassium_current__T = var_membrane__T;
00161 const double var_time_independent_potassium_current__K_mk1 = 10.0;
00162 const double var_time_independent_potassium_current__g_K1 = 0.5;
00163 double var_time_independent_potassium_current__F = var_membrane__F;
00164 double var_time_independent_potassium_current__i_K1 = (((var_time_independent_potassium_current__g_K1 * var_time_independent_potassium_current__K_o) / (var_time_independent_potassium_current__K_o + var_time_independent_potassium_current__K_mk1)) * (var_time_independent_potassium_current__V - var_time_independent_potassium_current__E_K)) / (1.0 + exp((((var_time_independent_potassium_current__V - var_time_independent_potassium_current__E_K) - 10.0) * var_time_independent_potassium_current__F * 1.25) / (var_time_independent_potassium_current__R * var_time_independent_potassium_current__T)));
00165 double var_membrane__i_K1 = var_time_independent_potassium_current__i_K1;
00166 double var_transient_outward_current__s = var_transient_outward_current_s_gate__s;
00167 double var_transient_outward_current__r = var_transient_outward_current_r_gate__r;
00168 const double var_transient_outward_current__g_to = 0.005;
00169 double var_transient_outward_current__V = var_membrane__V;
00170 double var_transient_outward_current__E_K = var_reversal_potentials__E_K;
00171 const double var_transient_outward_current__g_tos = 0.0;
00172 double var_transient_outward_current__i_to = var_transient_outward_current__g_to * (var_transient_outward_current__g_tos + (var_transient_outward_current__s * (1.0 - var_transient_outward_current__g_tos))) * var_transient_outward_current__r * (var_transient_outward_current__V - var_transient_outward_current__E_K);
00173 double var_membrane__i_to = var_transient_outward_current__i_to;
00174 const double var_rapid_delayed_rectifier_potassium_current__g_Kr2 = 0.0013;
00175 const double var_rapid_delayed_rectifier_potassium_current__g_Kr1 = 0.0021;
00176 double var_rapid_delayed_rectifier_potassium_current__xr1 = var_rapid_delayed_rectifier_potassium_current_xr1_gate__xr1;
00177 double var_rapid_delayed_rectifier_potassium_current__xr2 = var_rapid_delayed_rectifier_potassium_current_xr2_gate__xr2;
00178 double var_rapid_delayed_rectifier_potassium_current__V = var_membrane__V;
00179 double var_rapid_delayed_rectifier_potassium_current__E_K = var_reversal_potentials__E_K;
00180 double var_rapid_delayed_rectifier_potassium_current__i_Kr = ((((var_rapid_delayed_rectifier_potassium_current__g_Kr1 * var_rapid_delayed_rectifier_potassium_current__xr1) + (var_rapid_delayed_rectifier_potassium_current__g_Kr2 * var_rapid_delayed_rectifier_potassium_current__xr2)) * 1.0) / (1.0 + exp((var_rapid_delayed_rectifier_potassium_current__V + 9.0) / 22.4))) * (var_rapid_delayed_rectifier_potassium_current__V - var_rapid_delayed_rectifier_potassium_current__E_K);
00181 double var_membrane__i_Kr = var_rapid_delayed_rectifier_potassium_current__i_Kr;
00182 double var_slow_delayed_rectifier_potassium_current__xs = var_slow_delayed_rectifier_potassium_current_xs_gate__xs;
00183 const double var_extracellular_sodium_concentration__Na_o = 140.0;
00184 double var_reversal_potentials__Na_o = var_extracellular_sodium_concentration__Na_o;
00185 double var_reversal_potentials__Na_i = var_intracellular_sodium_concentration__Na_i;
00186 const double var_reversal_potentials__P_kna = 0.03;
00187 double var_reversal_potentials__E_Ks = ((var_reversal_potentials__R * var_reversal_potentials__T) / var_reversal_potentials__F) * log((var_reversal_potentials__K_o + (var_reversal_potentials__P_kna * var_reversal_potentials__Na_o)) / (var_reversal_potentials__K_i + (var_reversal_potentials__P_kna * var_reversal_potentials__Na_i)));
00188 double var_slow_delayed_rectifier_potassium_current__E_Ks = var_reversal_potentials__E_Ks;
00189 const double var_slow_delayed_rectifier_potassium_current__g_Ks = 0.0026;
00190 double var_slow_delayed_rectifier_potassium_current__V = var_membrane__V;
00191 double var_slow_delayed_rectifier_potassium_current__i_Ks = var_slow_delayed_rectifier_potassium_current__g_Ks * pow(var_slow_delayed_rectifier_potassium_current__xs, 2.0) * (var_slow_delayed_rectifier_potassium_current__V - var_slow_delayed_rectifier_potassium_current__E_Ks);
00192 double var_membrane__i_Ks = var_slow_delayed_rectifier_potassium_current__i_Ks;
00193 double var_L_type_Ca_channel__d = var_L_type_Ca_channel_d_gate__d;
00194 const double var_L_type_Ca_channel__FrICa = 1.0;
00195 double var_L_type_Ca_channel__f = var_L_type_Ca_channel_f_gate__f;
00196 double var_L_type_Ca_channel__K_o = var_extracellular_potassium_concentration__K_o;
00197 double var_L_type_Ca_channel__K_i = var_intracellular_potassium_concentration__K_i;
00198 double var_L_type_Ca_channel__F = var_membrane__F;
00199 const double var_L_type_Ca_channel__P_Ca_L = 0.1;
00200 double var_L_type_Ca_channel__T = var_membrane__T;
00201 const double var_L_type_Ca_channel__P_CaK = 0.002;
00202 double var_L_type_Ca_channel__V = var_membrane__V;
00203 double var_L_type_Ca_channel__f2 = var_L_type_Ca_channel_f2_gate__f2;
00204 double var_L_type_Ca_channel__R = var_membrane__R;
00205 double var_L_type_Ca_channel__i_Ca_L_K_cyt = ((((1.0 - var_L_type_Ca_channel__FrICa) * var_L_type_Ca_channel__P_CaK * var_L_type_Ca_channel__P_Ca_L * var_L_type_Ca_channel__d * var_L_type_Ca_channel__f * var_L_type_Ca_channel__f2 * (var_L_type_Ca_channel__V - 50.0) * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T)) / (1.0 - exp(((-(var_L_type_Ca_channel__V - 50.0)) * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T)))) * ((var_L_type_Ca_channel__K_i * exp((50.0 * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T))) - (var_L_type_Ca_channel__K_o * exp(((-(var_L_type_Ca_channel__V - 50.0)) * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T))));
00206 double var_membrane__i_Ca_L_K_cyt = var_L_type_Ca_channel__i_Ca_L_K_cyt;
00207 double var_L_type_Ca_channel__f2ds = var_L_type_Ca_channel_f2ds_gate__f2ds;
00208 double var_L_type_Ca_channel__i_Ca_L_K_ds = (((var_L_type_Ca_channel__FrICa * var_L_type_Ca_channel__P_CaK * var_L_type_Ca_channel__P_Ca_L * var_L_type_Ca_channel__d * var_L_type_Ca_channel__f * var_L_type_Ca_channel__f2ds * (var_L_type_Ca_channel__V - 50.0) * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T)) / (1.0 - exp(((-(var_L_type_Ca_channel__V - 50.0)) * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T)))) * ((var_L_type_Ca_channel__K_i * exp((50.0 * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T))) - (var_L_type_Ca_channel__K_o * exp(((-(var_L_type_Ca_channel__V - 50.0)) * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T))));
00209 double var_membrane__i_Ca_L_K_ds = var_L_type_Ca_channel__i_Ca_L_K_ds;
00210 const double var_sodium_potassium_pump__i_NaK_max = 0.7;
00211 double var_sodium_potassium_pump__Na_i = var_intracellular_sodium_concentration__Na_i;
00212 double var_sodium_potassium_pump__K_o = var_extracellular_potassium_concentration__K_o;
00213 const double var_sodium_potassium_pump__K_mNa = 40.0;
00214 const double var_sodium_potassium_pump__K_mK = 1.0;
00215 double var_sodium_potassium_pump__i_NaK = (((var_sodium_potassium_pump__i_NaK_max * var_sodium_potassium_pump__K_o) / (var_sodium_potassium_pump__K_mK + var_sodium_potassium_pump__K_o)) * var_sodium_potassium_pump__Na_i) / (var_sodium_potassium_pump__K_mNa + var_sodium_potassium_pump__Na_i);
00216 double var_membrane__i_NaK = var_sodium_potassium_pump__i_NaK;
00217 const double var_fast_sodium_current__g_Na = 2.5;
00218 double var_fast_sodium_current__h = var_fast_sodium_current_h_gate__h;
00219 double var_fast_sodium_current__V = var_membrane__V;
00220 double var_reversal_potentials__E_mh = ((var_reversal_potentials__R * var_reversal_potentials__T) / var_reversal_potentials__F) * log((var_reversal_potentials__Na_o + (0.12 * var_reversal_potentials__K_o)) / (var_reversal_potentials__Na_i + (0.12 * var_reversal_potentials__K_i)));
00221 double var_fast_sodium_current__E_mh = var_reversal_potentials__E_mh;
00222 double var_fast_sodium_current__m = var_fast_sodium_current_m_gate__m;
00223 double var_fast_sodium_current__i_Na = var_fast_sodium_current__g_Na * pow(var_fast_sodium_current__m, 3.0) * var_fast_sodium_current__h * (var_fast_sodium_current__V - var_fast_sodium_current__E_mh);
00224 double var_membrane__i_Na = var_fast_sodium_current__i_Na;
00225 double var_sodium_background_current__V = var_membrane__V;
00226 double var_reversal_potentials__E_Na = ((var_reversal_potentials__R * var_reversal_potentials__T) / var_reversal_potentials__F) * log(var_reversal_potentials__Na_o / var_reversal_potentials__Na_i);
00227 double var_sodium_background_current__E_Na = var_reversal_potentials__E_Na;
00228 const double var_sodium_background_current__g_bna = 0.0006;
00229 double var_sodium_background_current__i_b_Na = var_sodium_background_current__g_bna * (var_sodium_background_current__V - var_sodium_background_current__E_Na);
00230 double var_membrane__i_b_Na = var_sodium_background_current__i_b_Na;
00231 const double var_persistent_sodium_current__g_pna = 0.004;
00232 double var_persistent_sodium_current__V = var_membrane__V;
00233 double var_persistent_sodium_current__E_Na = var_reversal_potentials__E_Na;
00234 double var_persistent_sodium_current__i_p_Na = ((var_persistent_sodium_current__g_pna * 1.0) / (1.0 + exp((-(var_persistent_sodium_current__V + 52.0)) / 8.0))) * (var_persistent_sodium_current__V - var_persistent_sodium_current__E_Na);
00235 double var_membrane__i_p_Na = var_persistent_sodium_current__i_p_Na;
00236 const double var_L_type_Ca_channel__P_CaNa = 0.01;
00237 double var_L_type_Ca_channel__Na_o = var_extracellular_sodium_concentration__Na_o;
00238 double var_L_type_Ca_channel__Na_i = var_intracellular_sodium_concentration__Na_i;
00239 double var_L_type_Ca_channel__i_Ca_L_Na_cyt = ((((1.0 - var_L_type_Ca_channel__FrICa) * var_L_type_Ca_channel__P_CaNa * var_L_type_Ca_channel__P_Ca_L * var_L_type_Ca_channel__d * var_L_type_Ca_channel__f * var_L_type_Ca_channel__f2 * (var_L_type_Ca_channel__V - 50.0) * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T)) / (1.0 - exp(((-(var_L_type_Ca_channel__V - 50.0)) * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T)))) * ((var_L_type_Ca_channel__Na_i * exp((50.0 * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T))) - (var_L_type_Ca_channel__Na_o * exp(((-(var_L_type_Ca_channel__V - 50.0)) * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T))));
00240 double var_membrane__i_Ca_L_Na_cyt = var_L_type_Ca_channel__i_Ca_L_Na_cyt;
00241 double var_L_type_Ca_channel__i_Ca_L_Na_ds = (((var_L_type_Ca_channel__FrICa * var_L_type_Ca_channel__P_CaNa * var_L_type_Ca_channel__P_Ca_L * var_L_type_Ca_channel__d * var_L_type_Ca_channel__f * var_L_type_Ca_channel__f2ds * (var_L_type_Ca_channel__V - 50.0) * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T)) / (1.0 - exp(((-(var_L_type_Ca_channel__V - 50.0)) * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T)))) * ((var_L_type_Ca_channel__Na_i * exp((50.0 * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T))) - (var_L_type_Ca_channel__Na_o * exp(((-(var_L_type_Ca_channel__V - 50.0)) * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T))));
00242 double var_membrane__i_Ca_L_Na_ds = var_L_type_Ca_channel__i_Ca_L_Na_ds;
00243 double var_sodium_calcium_exchanger__Na_i = var_intracellular_sodium_concentration__Na_i;
00244 const double var_sodium_calcium_exchanger__n_NaCa = 3.0;
00245 const double var_sodium_calcium_exchanger__gamma = 0.5;
00246 double var_sodium_calcium_exchanger__F = var_membrane__F;
00247 double var_sodium_calcium_exchanger__Na_o = var_extracellular_sodium_concentration__Na_o;
00248 const double var_sodium_calcium_exchanger__FRiNaCa = 0.001;
00249 double var_sodium_calcium_exchanger__R = var_membrane__R;
00250 double var_sodium_calcium_exchanger__Ca_i = var_intracellular_calcium_concentration__Ca_i;
00251 double var_sodium_calcium_exchanger__T = var_membrane__T;
00252 double var_sodium_calcium_exchanger__V = var_membrane__V;
00253 const double var_sodium_calcium_exchanger__d_NaCa = 0.0;
00254 const double var_extracellular_calcium_concentration__Ca_o = 2.0;
00255 double var_sodium_calcium_exchanger__Ca_o = var_extracellular_calcium_concentration__Ca_o;
00256 const double var_sodium_calcium_exchanger__k_NaCa = 0.0005;
00257 double var_sodium_calcium_exchanger__i_NaCa_cyt = ((1.0 - var_sodium_calcium_exchanger__FRiNaCa) * var_sodium_calcium_exchanger__k_NaCa * ((exp((var_sodium_calcium_exchanger__gamma * (var_sodium_calcium_exchanger__n_NaCa - 2.0) * var_sodium_calcium_exchanger__V * var_sodium_calcium_exchanger__F) / (var_sodium_calcium_exchanger__R * var_sodium_calcium_exchanger__T)) * pow(var_sodium_calcium_exchanger__Na_i, var_sodium_calcium_exchanger__n_NaCa) * var_sodium_calcium_exchanger__Ca_o) - (exp(((var_sodium_calcium_exchanger__gamma - 1.0) * (var_sodium_calcium_exchanger__n_NaCa - 2.0) * var_sodium_calcium_exchanger__V * var_sodium_calcium_exchanger__F) / (var_sodium_calcium_exchanger__R * var_sodium_calcium_exchanger__T)) * pow(var_sodium_calcium_exchanger__Na_o, var_sodium_calcium_exchanger__n_NaCa) * var_sodium_calcium_exchanger__Ca_i))) / ((1.0 + (var_sodium_calcium_exchanger__d_NaCa * ((var_sodium_calcium_exchanger__Ca_i * pow(var_sodium_calcium_exchanger__Na_o, var_sodium_calcium_exchanger__n_NaCa)) + (var_sodium_calcium_exchanger__Ca_o * pow(var_sodium_calcium_exchanger__Na_i, var_sodium_calcium_exchanger__n_NaCa))))) * (1.0 + (var_sodium_calcium_exchanger__Ca_i / 0.0069)));
00258 double var_membrane__i_NaCa_cyt = var_sodium_calcium_exchanger__i_NaCa_cyt;
00259 double var_sodium_calcium_exchanger__Ca_ds = var_intracellular_calcium_concentration__Ca_ds;
00260 double var_sodium_calcium_exchanger__i_NaCa_ds = (var_sodium_calcium_exchanger__FRiNaCa * var_sodium_calcium_exchanger__k_NaCa * ((exp((var_sodium_calcium_exchanger__gamma * (var_sodium_calcium_exchanger__n_NaCa - 2.0) * var_sodium_calcium_exchanger__V * var_sodium_calcium_exchanger__F) / (var_sodium_calcium_exchanger__R * var_sodium_calcium_exchanger__T)) * pow(var_sodium_calcium_exchanger__Na_i, var_sodium_calcium_exchanger__n_NaCa) * var_sodium_calcium_exchanger__Ca_o) - (exp(((var_sodium_calcium_exchanger__gamma - 1.0) * (var_sodium_calcium_exchanger__n_NaCa - 2.0) * var_sodium_calcium_exchanger__V * var_sodium_calcium_exchanger__F) / (var_sodium_calcium_exchanger__R * var_sodium_calcium_exchanger__T)) * pow(var_sodium_calcium_exchanger__Na_o, var_sodium_calcium_exchanger__n_NaCa) * var_sodium_calcium_exchanger__Ca_ds))) / ((1.0 + (var_sodium_calcium_exchanger__d_NaCa * ((var_sodium_calcium_exchanger__Ca_ds * pow(var_sodium_calcium_exchanger__Na_o, var_sodium_calcium_exchanger__n_NaCa)) + (var_sodium_calcium_exchanger__Ca_o * pow(var_sodium_calcium_exchanger__Na_i, var_sodium_calcium_exchanger__n_NaCa))))) * (1.0 + (var_sodium_calcium_exchanger__Ca_ds / 0.0069)));
00261 double var_membrane__i_NaCa_ds = var_sodium_calcium_exchanger__i_NaCa_ds;
00262 double var_L_type_Ca_channel__Ca_i = var_intracellular_calcium_concentration__Ca_i;
00263 double var_L_type_Ca_channel__Ca_o = var_extracellular_calcium_concentration__Ca_o;
00264 double var_L_type_Ca_channel__i_Ca_L_Ca_cyt = ((((1.0 - var_L_type_Ca_channel__FrICa) * 4.0 * var_L_type_Ca_channel__P_Ca_L * var_L_type_Ca_channel__d * var_L_type_Ca_channel__f * var_L_type_Ca_channel__f2 * (var_L_type_Ca_channel__V - 50.0) * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T)) / (1.0 - exp(((-(var_L_type_Ca_channel__V - 50.0)) * var_L_type_Ca_channel__F * 2.0) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T)))) * ((var_L_type_Ca_channel__Ca_i * exp((100.0 * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T))) - (var_L_type_Ca_channel__Ca_o * exp(((-(var_L_type_Ca_channel__V - 50.0)) * var_L_type_Ca_channel__F * 2.0) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T))));
00265 double var_membrane__i_Ca_L_Ca_cyt = var_L_type_Ca_channel__i_Ca_L_Ca_cyt;
00266 double var_L_type_Ca_channel__i_Ca_L_Ca_ds = (((var_L_type_Ca_channel__FrICa * 4.0 * var_L_type_Ca_channel__P_Ca_L * var_L_type_Ca_channel__d * var_L_type_Ca_channel__f * var_L_type_Ca_channel__f2ds * (var_L_type_Ca_channel__V - 50.0) * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T)) / (1.0 - exp(((-(var_L_type_Ca_channel__V - 50.0)) * var_L_type_Ca_channel__F * 2.0) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T)))) * ((var_L_type_Ca_channel__Ca_i * exp((100.0 * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T))) - (var_L_type_Ca_channel__Ca_o * exp(((-(var_L_type_Ca_channel__V - 50.0)) * var_L_type_Ca_channel__F * 2.0) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T))));
00267 double var_membrane__i_Ca_L_Ca_ds = var_L_type_Ca_channel__i_Ca_L_Ca_ds;
00268 double var_reversal_potentials__Ca_o = var_extracellular_calcium_concentration__Ca_o;
00269 double var_reversal_potentials__Ca_i = var_intracellular_calcium_concentration__Ca_i;
00270 double var_reversal_potentials__E_Ca = ((0.5 * var_reversal_potentials__R * var_reversal_potentials__T) / var_reversal_potentials__F) * log(var_reversal_potentials__Ca_o / var_reversal_potentials__Ca_i);
00271 double var_calcium_background_current__E_Ca = var_reversal_potentials__E_Ca;
00272 const double var_calcium_background_current__g_bca = 0.00025;
00273 double var_calcium_background_current__V = var_membrane__V;
00274 double var_calcium_background_current__i_b_Ca = var_calcium_background_current__g_bca * (var_calcium_background_current__V - var_calcium_background_current__E_Ca);
00275 double var_membrane__i_b_Ca = var_calcium_background_current__i_b_Ca;
00276
00287 double value_in_nA = var_membrane__i_K1+var_membrane__i_to+var_membrane__i_Kr+var_membrane__i_Ks+var_membrane__i_Ca_L_K_cyt+var_membrane__i_Ca_L_K_ds+var_membrane__i_NaK+var_membrane__i_Na+var_membrane__i_b_Na+var_membrane__i_p_Na+var_membrane__i_Ca_L_Na_cyt+var_membrane__i_Ca_L_Na_ds+var_membrane__i_NaCa_cyt+var_membrane__i_NaCa_ds+var_membrane__i_Ca_L_Ca_cyt+var_membrane__i_Ca_L_Ca_ds+var_membrane__i_b_Ca;
00288 double value_in_microA = 0.001*value_in_nA;
00289 double value_in_microA_per_cm_squared = value_in_microA/0.000095;
00290 return value_in_microA_per_cm_squared;
00291 }
00292
00293 void ComputeResidual(const double rCurrentGuess[12], double rResidual[12])
00294 {
00295 std::vector<double>& rY = rGetStateVariables();
00296 double var_membrane__V = rY[0];
00297
00298 double var_rapid_delayed_rectifier_potassium_current_xr1_gate__xr1 = rY[1];
00299
00300 double var_rapid_delayed_rectifier_potassium_current_xr2_gate__xr2 = rY[2];
00301
00302 double var_slow_delayed_rectifier_potassium_current_xs_gate__xs = rY[3];
00303
00304 double var_fast_sodium_current_m_gate__m = rY[4];
00305
00306 double var_fast_sodium_current_h_gate__h = rY[5];
00307
00308 double var_L_type_Ca_channel_d_gate__d = rY[6];
00309
00310 double var_L_type_Ca_channel_f_gate__f = rY[7];
00311
00312 double var_transient_outward_current_s_gate__s = rY[10];
00313
00314 double var_transient_outward_current_r_gate__r = rY[11];
00315
00316
00317 double var_L_type_Ca_channel_f2_gate__f2 = rCurrentGuess[0];
00318 double var_L_type_Ca_channel_f2ds_gate__f2ds = rCurrentGuess[1];
00319 double var_calcium_release__ActFrac = rCurrentGuess[2];
00320 double var_calcium_release__ProdFrac = rCurrentGuess[3];
00321 double var_intracellular_calcium_concentration__Ca_Calmod = rCurrentGuess[4];
00322 double var_intracellular_calcium_concentration__Ca_Trop = rCurrentGuess[5];
00323 double var_intracellular_calcium_concentration__Ca_ds = rCurrentGuess[6];
00324 double var_intracellular_calcium_concentration__Ca_i = rCurrentGuess[7];
00325 double var_intracellular_calcium_concentration__Ca_rel = rCurrentGuess[8];
00326 double var_intracellular_calcium_concentration__Ca_up = rCurrentGuess[9];
00327 double var_intracellular_potassium_concentration__K_i = rCurrentGuess[10];
00328 double var_intracellular_sodium_concentration__Na_i = rCurrentGuess[11];
00329
00330 const double var_membrane__R = 8314.472;
00331 const double var_membrane__T = 310.0;
00332 const double var_membrane__F = 96485.3415;
00333 double var_reversal_potentials__K_i = var_intracellular_potassium_concentration__K_i;
00334 double var_reversal_potentials__R = var_membrane__R;
00335 double var_reversal_potentials__T = var_membrane__T;
00336 double var_reversal_potentials__F = var_membrane__F;
00337 const double var_extracellular_potassium_concentration__K_o = 4.0;
00338 double var_reversal_potentials__K_o = var_extracellular_potassium_concentration__K_o;
00339 double var_reversal_potentials__E_K = ((var_reversal_potentials__R * var_reversal_potentials__T) / var_reversal_potentials__F) * log(var_reversal_potentials__K_o / var_reversal_potentials__K_i);
00340 double var_time_independent_potassium_current__E_K = var_reversal_potentials__E_K;
00341 double var_time_independent_potassium_current__K_o = var_extracellular_potassium_concentration__K_o;
00342 double var_time_independent_potassium_current__R = var_membrane__R;
00343 double var_time_independent_potassium_current__V = var_membrane__V;
00344 double var_time_independent_potassium_current__T = var_membrane__T;
00345 const double var_time_independent_potassium_current__K_mk1 = 10.0;
00346 const double var_time_independent_potassium_current__g_K1 = 0.5;
00347 double var_time_independent_potassium_current__F = var_membrane__F;
00348 double var_time_independent_potassium_current__i_K1 = (((var_time_independent_potassium_current__g_K1 * var_time_independent_potassium_current__K_o) / (var_time_independent_potassium_current__K_o + var_time_independent_potassium_current__K_mk1)) * (var_time_independent_potassium_current__V - var_time_independent_potassium_current__E_K)) / (1.0 + exp((((var_time_independent_potassium_current__V - var_time_independent_potassium_current__E_K) - 10.0) * var_time_independent_potassium_current__F * 1.25) / (var_time_independent_potassium_current__R * var_time_independent_potassium_current__T)));
00349 double var_transient_outward_current__s = var_transient_outward_current_s_gate__s;
00350 double var_transient_outward_current__r = var_transient_outward_current_r_gate__r;
00351 const double var_transient_outward_current__g_to = 0.005;
00352 double var_transient_outward_current__V = var_membrane__V;
00353 double var_transient_outward_current__E_K = var_reversal_potentials__E_K;
00354 const double var_transient_outward_current__g_tos = 0.0;
00355 double var_transient_outward_current__i_to = var_transient_outward_current__g_to * (var_transient_outward_current__g_tos + (var_transient_outward_current__s * (1.0 - var_transient_outward_current__g_tos))) * var_transient_outward_current__r * (var_transient_outward_current__V - var_transient_outward_current__E_K);
00356 const double var_rapid_delayed_rectifier_potassium_current__g_Kr2 = 0.0013;
00357 const double var_rapid_delayed_rectifier_potassium_current__g_Kr1 = 0.0021;
00358 double var_rapid_delayed_rectifier_potassium_current__xr1 = var_rapid_delayed_rectifier_potassium_current_xr1_gate__xr1;
00359 double var_rapid_delayed_rectifier_potassium_current__xr2 = var_rapid_delayed_rectifier_potassium_current_xr2_gate__xr2;
00360 double var_rapid_delayed_rectifier_potassium_current__V = var_membrane__V;
00361 double var_rapid_delayed_rectifier_potassium_current__E_K = var_reversal_potentials__E_K;
00362 double var_rapid_delayed_rectifier_potassium_current__i_Kr = ((((var_rapid_delayed_rectifier_potassium_current__g_Kr1 * var_rapid_delayed_rectifier_potassium_current__xr1) + (var_rapid_delayed_rectifier_potassium_current__g_Kr2 * var_rapid_delayed_rectifier_potassium_current__xr2)) * 1.0) / (1.0 + exp((var_rapid_delayed_rectifier_potassium_current__V + 9.0) / 22.4))) * (var_rapid_delayed_rectifier_potassium_current__V - var_rapid_delayed_rectifier_potassium_current__E_K);
00363 double var_slow_delayed_rectifier_potassium_current__xs = var_slow_delayed_rectifier_potassium_current_xs_gate__xs;
00364 const double var_extracellular_sodium_concentration__Na_o = 140.0;
00365 double var_reversal_potentials__Na_o = var_extracellular_sodium_concentration__Na_o;
00366 double var_reversal_potentials__Na_i = var_intracellular_sodium_concentration__Na_i;
00367 const double var_reversal_potentials__P_kna = 0.03;
00368 double var_reversal_potentials__E_Ks = ((var_reversal_potentials__R * var_reversal_potentials__T) / var_reversal_potentials__F) * log((var_reversal_potentials__K_o + (var_reversal_potentials__P_kna * var_reversal_potentials__Na_o)) / (var_reversal_potentials__K_i + (var_reversal_potentials__P_kna * var_reversal_potentials__Na_i)));
00369 double var_slow_delayed_rectifier_potassium_current__E_Ks = var_reversal_potentials__E_Ks;
00370 const double var_slow_delayed_rectifier_potassium_current__g_Ks = 0.0026;
00371 double var_slow_delayed_rectifier_potassium_current__V = var_membrane__V;
00372 double var_slow_delayed_rectifier_potassium_current__i_Ks = var_slow_delayed_rectifier_potassium_current__g_Ks * pow(var_slow_delayed_rectifier_potassium_current__xs, 2.0) * (var_slow_delayed_rectifier_potassium_current__V - var_slow_delayed_rectifier_potassium_current__E_Ks);
00373 double var_L_type_Ca_channel__d = var_L_type_Ca_channel_d_gate__d;
00374 const double var_L_type_Ca_channel__FrICa = 1.0;
00375 double var_L_type_Ca_channel__f = var_L_type_Ca_channel_f_gate__f;
00376 double var_L_type_Ca_channel__K_o = var_extracellular_potassium_concentration__K_o;
00377 double var_L_type_Ca_channel__K_i = var_intracellular_potassium_concentration__K_i;
00378 double var_L_type_Ca_channel__F = var_membrane__F;
00379 const double var_L_type_Ca_channel__P_Ca_L = 0.1;
00380 double var_L_type_Ca_channel__T = var_membrane__T;
00381 const double var_L_type_Ca_channel__P_CaK = 0.002;
00382 double var_L_type_Ca_channel__V = var_membrane__V;
00383 double var_L_type_Ca_channel__f2 = var_L_type_Ca_channel_f2_gate__f2;
00384 double var_L_type_Ca_channel__R = var_membrane__R;
00385 double var_L_type_Ca_channel__i_Ca_L_K_cyt = ((((1.0 - var_L_type_Ca_channel__FrICa) * var_L_type_Ca_channel__P_CaK * var_L_type_Ca_channel__P_Ca_L * var_L_type_Ca_channel__d * var_L_type_Ca_channel__f * var_L_type_Ca_channel__f2 * (var_L_type_Ca_channel__V - 50.0) * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T)) / (1.0 - exp(((-(var_L_type_Ca_channel__V - 50.0)) * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T)))) * ((var_L_type_Ca_channel__K_i * exp((50.0 * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T))) - (var_L_type_Ca_channel__K_o * exp(((-(var_L_type_Ca_channel__V - 50.0)) * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T))));
00386 double var_L_type_Ca_channel__f2ds = var_L_type_Ca_channel_f2ds_gate__f2ds;
00387 double var_L_type_Ca_channel__i_Ca_L_K_ds = (((var_L_type_Ca_channel__FrICa * var_L_type_Ca_channel__P_CaK * var_L_type_Ca_channel__P_Ca_L * var_L_type_Ca_channel__d * var_L_type_Ca_channel__f * var_L_type_Ca_channel__f2ds * (var_L_type_Ca_channel__V - 50.0) * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T)) / (1.0 - exp(((-(var_L_type_Ca_channel__V - 50.0)) * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T)))) * ((var_L_type_Ca_channel__K_i * exp((50.0 * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T))) - (var_L_type_Ca_channel__K_o * exp(((-(var_L_type_Ca_channel__V - 50.0)) * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T))));
00388 const double var_sodium_potassium_pump__i_NaK_max = 0.7;
00389 double var_sodium_potassium_pump__Na_i = var_intracellular_sodium_concentration__Na_i;
00390 double var_sodium_potassium_pump__K_o = var_extracellular_potassium_concentration__K_o;
00391 const double var_sodium_potassium_pump__K_mNa = 40.0;
00392 const double var_sodium_potassium_pump__K_mK = 1.0;
00393 double var_sodium_potassium_pump__i_NaK = (((var_sodium_potassium_pump__i_NaK_max * var_sodium_potassium_pump__K_o) / (var_sodium_potassium_pump__K_mK + var_sodium_potassium_pump__K_o)) * var_sodium_potassium_pump__Na_i) / (var_sodium_potassium_pump__K_mNa + var_sodium_potassium_pump__Na_i);
00394 const double var_fast_sodium_current__g_Na = 2.5;
00395 double var_fast_sodium_current__h = var_fast_sodium_current_h_gate__h;
00396 double var_fast_sodium_current__V = var_membrane__V;
00397 double var_reversal_potentials__E_mh = ((var_reversal_potentials__R * var_reversal_potentials__T) / var_reversal_potentials__F) * log((var_reversal_potentials__Na_o + (0.12 * var_reversal_potentials__K_o)) / (var_reversal_potentials__Na_i + (0.12 * var_reversal_potentials__K_i)));
00398 double var_fast_sodium_current__E_mh = var_reversal_potentials__E_mh;
00399 double var_fast_sodium_current__m = var_fast_sodium_current_m_gate__m;
00400 double var_fast_sodium_current__i_Na = var_fast_sodium_current__g_Na * pow(var_fast_sodium_current__m, 3.0) * var_fast_sodium_current__h * (var_fast_sodium_current__V - var_fast_sodium_current__E_mh);
00401 double var_sodium_background_current__V = var_membrane__V;
00402 double var_reversal_potentials__E_Na = ((var_reversal_potentials__R * var_reversal_potentials__T) / var_reversal_potentials__F) * log(var_reversal_potentials__Na_o / var_reversal_potentials__Na_i);
00403 double var_sodium_background_current__E_Na = var_reversal_potentials__E_Na;
00404 const double var_sodium_background_current__g_bna = 0.0006;
00405 double var_sodium_background_current__i_b_Na = var_sodium_background_current__g_bna * (var_sodium_background_current__V - var_sodium_background_current__E_Na);
00406 const double var_persistent_sodium_current__g_pna = 0.004;
00407 double var_persistent_sodium_current__V = var_membrane__V;
00408 double var_persistent_sodium_current__E_Na = var_reversal_potentials__E_Na;
00409 double var_persistent_sodium_current__i_p_Na = ((var_persistent_sodium_current__g_pna * 1.0) / (1.0 + exp((-(var_persistent_sodium_current__V + 52.0)) / 8.0))) * (var_persistent_sodium_current__V - var_persistent_sodium_current__E_Na);
00410 const double var_L_type_Ca_channel__P_CaNa = 0.01;
00411 double var_L_type_Ca_channel__Na_o = var_extracellular_sodium_concentration__Na_o;
00412 double var_L_type_Ca_channel__Na_i = var_intracellular_sodium_concentration__Na_i;
00413 double var_L_type_Ca_channel__i_Ca_L_Na_cyt = ((((1.0 - var_L_type_Ca_channel__FrICa) * var_L_type_Ca_channel__P_CaNa * var_L_type_Ca_channel__P_Ca_L * var_L_type_Ca_channel__d * var_L_type_Ca_channel__f * var_L_type_Ca_channel__f2 * (var_L_type_Ca_channel__V - 50.0) * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T)) / (1.0 - exp(((-(var_L_type_Ca_channel__V - 50.0)) * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T)))) * ((var_L_type_Ca_channel__Na_i * exp((50.0 * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T))) - (var_L_type_Ca_channel__Na_o * exp(((-(var_L_type_Ca_channel__V - 50.0)) * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T))));
00414 double var_L_type_Ca_channel__i_Ca_L_Na_ds = (((var_L_type_Ca_channel__FrICa * var_L_type_Ca_channel__P_CaNa * var_L_type_Ca_channel__P_Ca_L * var_L_type_Ca_channel__d * var_L_type_Ca_channel__f * var_L_type_Ca_channel__f2ds * (var_L_type_Ca_channel__V - 50.0) * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T)) / (1.0 - exp(((-(var_L_type_Ca_channel__V - 50.0)) * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T)))) * ((var_L_type_Ca_channel__Na_i * exp((50.0 * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T))) - (var_L_type_Ca_channel__Na_o * exp(((-(var_L_type_Ca_channel__V - 50.0)) * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T))));
00415 double var_sodium_calcium_exchanger__Na_i = var_intracellular_sodium_concentration__Na_i;
00416 const double var_sodium_calcium_exchanger__n_NaCa = 3.0;
00417 const double var_sodium_calcium_exchanger__gamma = 0.5;
00418 double var_sodium_calcium_exchanger__F = var_membrane__F;
00419 double var_sodium_calcium_exchanger__Na_o = var_extracellular_sodium_concentration__Na_o;
00420 const double var_sodium_calcium_exchanger__FRiNaCa = 0.001;
00421 double var_sodium_calcium_exchanger__R = var_membrane__R;
00422 double var_sodium_calcium_exchanger__Ca_i = var_intracellular_calcium_concentration__Ca_i;
00423 double var_sodium_calcium_exchanger__T = var_membrane__T;
00424 double var_sodium_calcium_exchanger__V = var_membrane__V;
00425 const double var_sodium_calcium_exchanger__d_NaCa = 0.0;
00426 const double var_extracellular_calcium_concentration__Ca_o = 2.0;
00427 double var_sodium_calcium_exchanger__Ca_o = var_extracellular_calcium_concentration__Ca_o;
00428 const double var_sodium_calcium_exchanger__k_NaCa = 0.0005;
00429 double var_sodium_calcium_exchanger__i_NaCa_cyt = ((1.0 - var_sodium_calcium_exchanger__FRiNaCa) * var_sodium_calcium_exchanger__k_NaCa * ((exp((var_sodium_calcium_exchanger__gamma * (var_sodium_calcium_exchanger__n_NaCa - 2.0) * var_sodium_calcium_exchanger__V * var_sodium_calcium_exchanger__F) / (var_sodium_calcium_exchanger__R * var_sodium_calcium_exchanger__T)) * pow(var_sodium_calcium_exchanger__Na_i, var_sodium_calcium_exchanger__n_NaCa) * var_sodium_calcium_exchanger__Ca_o) - (exp(((var_sodium_calcium_exchanger__gamma - 1.0) * (var_sodium_calcium_exchanger__n_NaCa - 2.0) * var_sodium_calcium_exchanger__V * var_sodium_calcium_exchanger__F) / (var_sodium_calcium_exchanger__R * var_sodium_calcium_exchanger__T)) * pow(var_sodium_calcium_exchanger__Na_o, var_sodium_calcium_exchanger__n_NaCa) * var_sodium_calcium_exchanger__Ca_i))) / ((1.0 + (var_sodium_calcium_exchanger__d_NaCa * ((var_sodium_calcium_exchanger__Ca_i * pow(var_sodium_calcium_exchanger__Na_o, var_sodium_calcium_exchanger__n_NaCa)) + (var_sodium_calcium_exchanger__Ca_o * pow(var_sodium_calcium_exchanger__Na_i, var_sodium_calcium_exchanger__n_NaCa))))) * (1.0 + (var_sodium_calcium_exchanger__Ca_i / 0.0069)));
00430 double var_sodium_calcium_exchanger__Ca_ds = var_intracellular_calcium_concentration__Ca_ds;
00431 double var_sodium_calcium_exchanger__i_NaCa_ds = (var_sodium_calcium_exchanger__FRiNaCa * var_sodium_calcium_exchanger__k_NaCa * ((exp((var_sodium_calcium_exchanger__gamma * (var_sodium_calcium_exchanger__n_NaCa - 2.0) * var_sodium_calcium_exchanger__V * var_sodium_calcium_exchanger__F) / (var_sodium_calcium_exchanger__R * var_sodium_calcium_exchanger__T)) * pow(var_sodium_calcium_exchanger__Na_i, var_sodium_calcium_exchanger__n_NaCa) * var_sodium_calcium_exchanger__Ca_o) - (exp(((var_sodium_calcium_exchanger__gamma - 1.0) * (var_sodium_calcium_exchanger__n_NaCa - 2.0) * var_sodium_calcium_exchanger__V * var_sodium_calcium_exchanger__F) / (var_sodium_calcium_exchanger__R * var_sodium_calcium_exchanger__T)) * pow(var_sodium_calcium_exchanger__Na_o, var_sodium_calcium_exchanger__n_NaCa) * var_sodium_calcium_exchanger__Ca_ds))) / ((1.0 + (var_sodium_calcium_exchanger__d_NaCa * ((var_sodium_calcium_exchanger__Ca_ds * pow(var_sodium_calcium_exchanger__Na_o, var_sodium_calcium_exchanger__n_NaCa)) + (var_sodium_calcium_exchanger__Ca_o * pow(var_sodium_calcium_exchanger__Na_i, var_sodium_calcium_exchanger__n_NaCa))))) * (1.0 + (var_sodium_calcium_exchanger__Ca_ds / 0.0069)));
00432 double var_L_type_Ca_channel__Ca_i = var_intracellular_calcium_concentration__Ca_i;
00433 double var_L_type_Ca_channel__Ca_o = var_extracellular_calcium_concentration__Ca_o;
00434 double var_L_type_Ca_channel__i_Ca_L_Ca_cyt = ((((1.0 - var_L_type_Ca_channel__FrICa) * 4.0 * var_L_type_Ca_channel__P_Ca_L * var_L_type_Ca_channel__d * var_L_type_Ca_channel__f * var_L_type_Ca_channel__f2 * (var_L_type_Ca_channel__V - 50.0) * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T)) / (1.0 - exp(((-(var_L_type_Ca_channel__V - 50.0)) * var_L_type_Ca_channel__F * 2.0) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T)))) * ((var_L_type_Ca_channel__Ca_i * exp((100.0 * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T))) - (var_L_type_Ca_channel__Ca_o * exp(((-(var_L_type_Ca_channel__V - 50.0)) * var_L_type_Ca_channel__F * 2.0) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T))));
00435 double var_L_type_Ca_channel__i_Ca_L_Ca_ds = (((var_L_type_Ca_channel__FrICa * 4.0 * var_L_type_Ca_channel__P_Ca_L * var_L_type_Ca_channel__d * var_L_type_Ca_channel__f * var_L_type_Ca_channel__f2ds * (var_L_type_Ca_channel__V - 50.0) * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T)) / (1.0 - exp(((-(var_L_type_Ca_channel__V - 50.0)) * var_L_type_Ca_channel__F * 2.0) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T)))) * ((var_L_type_Ca_channel__Ca_i * exp((100.0 * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T))) - (var_L_type_Ca_channel__Ca_o * exp(((-(var_L_type_Ca_channel__V - 50.0)) * var_L_type_Ca_channel__F * 2.0) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T))));
00436 double var_reversal_potentials__Ca_o = var_extracellular_calcium_concentration__Ca_o;
00437 double var_reversal_potentials__Ca_i = var_intracellular_calcium_concentration__Ca_i;
00438 double var_reversal_potentials__E_Ca = ((0.5 * var_reversal_potentials__R * var_reversal_potentials__T) / var_reversal_potentials__F) * log(var_reversal_potentials__Ca_o / var_reversal_potentials__Ca_i);
00439 double var_calcium_background_current__E_Ca = var_reversal_potentials__E_Ca;
00440 const double var_calcium_background_current__g_bca = 0.00025;
00441 double var_calcium_background_current__V = var_membrane__V;
00442 double var_calcium_background_current__i_b_Ca = var_calcium_background_current__g_bca * (var_calcium_background_current__V - var_calcium_background_current__E_Ca);
00443 double var_L_type_Ca_channel__Ca_ds = var_intracellular_calcium_concentration__Ca_ds;
00444 const double var_L_type_Ca_channel__Km_f2 = 100000.0;
00445 const double var_L_type_Ca_channel__Km_f2ds = 0.001;
00446 const double var_L_type_Ca_channel__R_decay = 20.0;
00447 double var_L_type_Ca_channel_f2_gate__Km_f2 = var_L_type_Ca_channel__Km_f2;
00448 double var_L_type_Ca_channel_f2_gate__Ca_i = var_L_type_Ca_channel__Ca_i;
00449 double var_L_type_Ca_channel_f2ds_gate__Km_f2ds = var_L_type_Ca_channel__Km_f2ds;
00450 double var_L_type_Ca_channel_f2ds_gate__R_decay = var_L_type_Ca_channel__R_decay;
00451 double var_L_type_Ca_channel_f2ds_gate__Ca_ds = var_L_type_Ca_channel__Ca_ds;
00452 double var_sarcoplasmic_reticulum_calcium_pump__Ca_i = var_intracellular_calcium_concentration__Ca_i;
00453 double var_sarcoplasmic_reticulum_calcium_pump__Ca_up = var_intracellular_calcium_concentration__Ca_up;
00454 const double var_sarcoplasmic_reticulum_calcium_pump__alpha_up = 0.4;
00455 const double var_sarcoplasmic_reticulum_calcium_pump__beta_up = 0.03;
00456 const double var_sarcoplasmic_reticulum_calcium_pump__K_srca = 0.5;
00457 const double var_sarcoplasmic_reticulum_calcium_pump__K_xcs = 0.4;
00458 const double var_sarcoplasmic_reticulum_calcium_pump__K_cyca = 0.0003;
00459 double var_sarcoplasmic_reticulum_calcium_pump__K_1 = (var_sarcoplasmic_reticulum_calcium_pump__K_cyca * var_sarcoplasmic_reticulum_calcium_pump__K_xcs) / var_sarcoplasmic_reticulum_calcium_pump__K_srca;
00460 double var_sarcoplasmic_reticulum_calcium_pump__K_2 = var_sarcoplasmic_reticulum_calcium_pump__Ca_i + (var_sarcoplasmic_reticulum_calcium_pump__Ca_up * var_sarcoplasmic_reticulum_calcium_pump__K_1) + (var_sarcoplasmic_reticulum_calcium_pump__K_cyca * var_sarcoplasmic_reticulum_calcium_pump__K_xcs) + var_sarcoplasmic_reticulum_calcium_pump__K_cyca;
00461 double var_sarcoplasmic_reticulum_calcium_pump__i_up = ((var_sarcoplasmic_reticulum_calcium_pump__Ca_i / var_sarcoplasmic_reticulum_calcium_pump__K_2) * var_sarcoplasmic_reticulum_calcium_pump__alpha_up) - (((var_sarcoplasmic_reticulum_calcium_pump__Ca_up * var_sarcoplasmic_reticulum_calcium_pump__K_1) / var_sarcoplasmic_reticulum_calcium_pump__K_2) * var_sarcoplasmic_reticulum_calcium_pump__beta_up);
00462 double var_calcium_translocation__Ca_rel = var_intracellular_calcium_concentration__Ca_rel;
00463 double var_calcium_translocation__Ca_up = var_intracellular_calcium_concentration__Ca_up;
00464 double var_calcium_translocation__i_trans = 50.0 * (var_calcium_translocation__Ca_up - var_calcium_translocation__Ca_rel);
00465 const double var_calcium_release__K_m_rel = 250.0;
00466 const double var_calcium_release__K_leak_rate = 0.05;
00467 double var_calcium_release__Ca_rel = var_intracellular_calcium_concentration__Ca_rel;
00468 double var_calcium_release__i_rel = ((pow(var_calcium_release__ActFrac / (var_calcium_release__ActFrac + 0.25), 2.0) * var_calcium_release__K_m_rel) + var_calcium_release__K_leak_rate) * var_calcium_release__Ca_rel;
00469 double var_calcium_release__V = var_membrane__V;
00470 double var_calcium_release__VoltDep = exp(0.08 * (var_calcium_release__V - 40.0));
00471 const double var_calcium_release__K_m_Ca_cyt = 0.0005;
00472 double var_calcium_release__Ca_i = var_intracellular_calcium_concentration__Ca_i;
00473 double var_calcium_release__CaiReg = var_calcium_release__Ca_i / (var_calcium_release__Ca_i + var_calcium_release__K_m_Ca_cyt);
00474 double var_calcium_release__Ca_ds = var_intracellular_calcium_concentration__Ca_ds;
00475 const double var_calcium_release__K_m_Ca_ds = 0.01;
00476 double var_calcium_release__CadsReg = var_calcium_release__Ca_ds / (var_calcium_release__Ca_ds + var_calcium_release__K_m_Ca_ds);
00477 double var_calcium_release__RegBindSite = var_calcium_release__CaiReg + ((1.0 - var_calcium_release__CaiReg) * var_calcium_release__CadsReg);
00478 double var_calcium_release__ActRate = (0.0 * var_calcium_release__VoltDep) + (500.0 * pow(var_calcium_release__RegBindSite, 2.0));
00479 double var_calcium_release__InactRate = 60.0 + (500.0 * pow(var_calcium_release__RegBindSite, 2.0));
00480 double var_calcium_release__PrecFrac = (1.0 - var_calcium_release__ActFrac) - var_calcium_release__ProdFrac;
00481 double var_calcium_release__SpeedRel = (var_calcium_release__V < (-50.0)) ? 5.0 : 1.0;
00482 const double var_intracellular_calcium_concentration__V_up_ratio = 0.01;
00483 const double var_intracellular_calcium_concentration__V_rel_ratio = 0.1;
00484 const double var_intracellular_calcium_concentration__V_e_ratio = 0.4;
00485 double var_intracellular_calcium_concentration__V_i_ratio = ((1.0 - var_intracellular_calcium_concentration__V_e_ratio) - var_intracellular_calcium_concentration__V_up_ratio) - var_intracellular_calcium_concentration__V_rel_ratio;
00486 const double var_intracellular_calcium_concentration__radius = 0.012;
00487 const double var_intracellular_calcium_concentration__length = 0.074;
00488 double var_intracellular_calcium_concentration__V_Cell = 3.141592654 * pow(var_intracellular_calcium_concentration__radius, 2.0) * var_intracellular_calcium_concentration__length;
00489 double var_intracellular_calcium_concentration__V_i = var_intracellular_calcium_concentration__V_Cell * var_intracellular_calcium_concentration__V_i_ratio;
00490 double var_intracellular_sodium_concentration__V_i = var_intracellular_calcium_concentration__V_i;
00491 double var_intracellular_sodium_concentration__F = var_membrane__F;
00492 double var_intracellular_sodium_concentration__i_Na = var_fast_sodium_current__i_Na;
00493 double var_intracellular_sodium_concentration__i_b_Na = var_sodium_background_current__i_b_Na;
00494 double var_intracellular_sodium_concentration__i_p_Na = var_persistent_sodium_current__i_p_Na;
00495 double var_intracellular_sodium_concentration__i_Ca_L_Na_cyt = var_L_type_Ca_channel__i_Ca_L_Na_cyt;
00496 double var_intracellular_sodium_concentration__i_Ca_L_Na_ds = var_L_type_Ca_channel__i_Ca_L_Na_ds;
00497 double var_intracellular_sodium_concentration__i_NaK = var_sodium_potassium_pump__i_NaK;
00498 double var_intracellular_sodium_concentration__i_NaCa_cyt = var_sodium_calcium_exchanger__i_NaCa_cyt;
00499 double var_intracellular_potassium_concentration__V_i = var_intracellular_calcium_concentration__V_i;
00500 double var_intracellular_potassium_concentration__i_K1 = var_time_independent_potassium_current__i_K1;
00501 double var_intracellular_potassium_concentration__i_Kr = var_rapid_delayed_rectifier_potassium_current__i_Kr;
00502 double var_intracellular_potassium_concentration__i_Ks = var_slow_delayed_rectifier_potassium_current__i_Ks;
00503 double var_intracellular_potassium_concentration__i_Ca_L_K_cyt = var_L_type_Ca_channel__i_Ca_L_K_cyt;
00504 double var_intracellular_potassium_concentration__i_Ca_L_K_ds = var_L_type_Ca_channel__i_Ca_L_K_ds;
00505 double var_intracellular_potassium_concentration__i_to = var_transient_outward_current__i_to;
00506 double var_intracellular_potassium_concentration__i_NaK = var_sodium_potassium_pump__i_NaK;
00507 double var_intracellular_potassium_concentration__F = var_membrane__F;
00508 const double var_intracellular_calcium_concentration__Calmod = 0.02;
00509 const double var_intracellular_calcium_concentration__Trop = 0.05;
00510 const double var_intracellular_calcium_concentration__alpha_Calmod = 100000.0;
00511 const double var_intracellular_calcium_concentration__beta_Calmod = 50.0;
00512 const double var_intracellular_calcium_concentration__alpha_Trop = 100000.0;
00513 const double var_intracellular_calcium_concentration__beta_Trop = 200.0;
00514 const double var_intracellular_calcium_concentration__V_ds_ratio = 0.1;
00515 const double var_intracellular_calcium_concentration__Kdecay = 10.0;
00516 double var_intracellular_calcium_concentration__i_up = var_sarcoplasmic_reticulum_calcium_pump__i_up;
00517 double var_intracellular_calcium_concentration__i_trans = var_calcium_translocation__i_trans;
00518 double var_intracellular_calcium_concentration__i_rel = var_calcium_release__i_rel;
00519 double var_intracellular_calcium_concentration__i_NaCa_cyt = var_sodium_calcium_exchanger__i_NaCa_cyt;
00520 double var_intracellular_calcium_concentration__i_NaCa_ds = var_sodium_calcium_exchanger__i_NaCa_ds;
00521 double var_intracellular_calcium_concentration__i_Ca_L_Ca_cyt = var_L_type_Ca_channel__i_Ca_L_Ca_cyt;
00522 double var_intracellular_calcium_concentration__i_Ca_L_Ca_ds = var_L_type_Ca_channel__i_Ca_L_Ca_ds;
00523 double var_intracellular_calcium_concentration__i_b_Ca = var_calcium_background_current__i_b_Ca;
00524 double var_intracellular_calcium_concentration__F = var_membrane__F;
00525 double d_dt_L_type_Ca_channel_f2_gate__f2 = 1.0 - (1.0 * ((var_L_type_Ca_channel_f2_gate__Ca_i / (var_L_type_Ca_channel_f2_gate__Km_f2 + var_L_type_Ca_channel_f2_gate__Ca_i)) + var_L_type_Ca_channel_f2_gate__f2));
00526 double d_dt_L_type_Ca_channel_f2ds_gate__f2ds = var_L_type_Ca_channel_f2ds_gate__R_decay * (1.0 - ((var_L_type_Ca_channel_f2ds_gate__Ca_ds / (var_L_type_Ca_channel_f2ds_gate__Km_f2ds + var_L_type_Ca_channel_f2ds_gate__Ca_ds)) + var_L_type_Ca_channel_f2ds_gate__f2ds));
00527 double d_dt_calcium_release__ActFrac = (var_calcium_release__PrecFrac * var_calcium_release__SpeedRel * var_calcium_release__ActRate) - (var_calcium_release__ActFrac * var_calcium_release__SpeedRel * var_calcium_release__InactRate);
00528 double d_dt_calcium_release__ProdFrac = (var_calcium_release__ActFrac * var_calcium_release__SpeedRel * var_calcium_release__InactRate) - (var_calcium_release__SpeedRel * 1.0 * var_calcium_release__ProdFrac);
00529 double d_dt_intracellular_sodium_concentration__Na_i = ((-1.0) / (1.0 * var_intracellular_sodium_concentration__V_i * var_intracellular_sodium_concentration__F)) * (var_intracellular_sodium_concentration__i_Na + var_intracellular_sodium_concentration__i_p_Na + var_intracellular_sodium_concentration__i_b_Na + (3.0 * var_intracellular_sodium_concentration__i_NaK) + (3.0 * var_intracellular_sodium_concentration__i_NaCa_cyt) + var_intracellular_sodium_concentration__i_Ca_L_Na_cyt + var_intracellular_sodium_concentration__i_Ca_L_Na_ds);
00530 double d_dt_intracellular_potassium_concentration__K_i = ((-1.0) / (1.0 * var_intracellular_potassium_concentration__V_i * var_intracellular_potassium_concentration__F)) * ((var_intracellular_potassium_concentration__i_K1 + var_intracellular_potassium_concentration__i_Kr + var_intracellular_potassium_concentration__i_Ks + var_intracellular_potassium_concentration__i_Ca_L_K_cyt + var_intracellular_potassium_concentration__i_Ca_L_K_ds + var_intracellular_potassium_concentration__i_to) - (2.0 * var_intracellular_potassium_concentration__i_NaK));
00531 double d_dt_intracellular_calcium_concentration__Ca_Trop = (var_intracellular_calcium_concentration__alpha_Trop * var_intracellular_calcium_concentration__Ca_i * (var_intracellular_calcium_concentration__Trop - var_intracellular_calcium_concentration__Ca_Trop)) - (var_intracellular_calcium_concentration__beta_Trop * var_intracellular_calcium_concentration__Ca_Trop);
00532 double d_dt_intracellular_calcium_concentration__Ca_Calmod = (var_intracellular_calcium_concentration__alpha_Calmod * var_intracellular_calcium_concentration__Ca_i * (var_intracellular_calcium_concentration__Calmod - var_intracellular_calcium_concentration__Ca_Calmod)) - (var_intracellular_calcium_concentration__beta_Calmod * var_intracellular_calcium_concentration__Ca_Calmod);
00533 double d_dt_intracellular_calcium_concentration__Ca_i = ((((((-1.0) / (2.0 * 1.0 * var_intracellular_calcium_concentration__V_i * var_intracellular_calcium_concentration__F)) * (((var_intracellular_calcium_concentration__i_Ca_L_Ca_cyt + var_intracellular_calcium_concentration__i_b_Ca) - (2.0 * var_intracellular_calcium_concentration__i_NaCa_cyt)) - (2.0 * var_intracellular_calcium_concentration__i_NaCa_ds))) + (var_intracellular_calcium_concentration__Ca_ds * var_intracellular_calcium_concentration__V_ds_ratio * var_intracellular_calcium_concentration__Kdecay) + ((var_intracellular_calcium_concentration__i_rel * var_intracellular_calcium_concentration__V_rel_ratio) / var_intracellular_calcium_concentration__V_i_ratio)) - d_dt_intracellular_calcium_concentration__Ca_Calmod) - d_dt_intracellular_calcium_concentration__Ca_Trop) - var_intracellular_calcium_concentration__i_up;
00534 double d_dt_intracellular_calcium_concentration__Ca_ds = (((-1.0) * var_intracellular_calcium_concentration__i_Ca_L_Ca_ds) / (2.0 * 1.0 * var_intracellular_calcium_concentration__V_ds_ratio * var_intracellular_calcium_concentration__V_i * var_intracellular_calcium_concentration__F)) - (var_intracellular_calcium_concentration__Ca_ds * var_intracellular_calcium_concentration__Kdecay);
00535 double d_dt_intracellular_calcium_concentration__Ca_up = ((var_intracellular_calcium_concentration__V_i_ratio / var_intracellular_calcium_concentration__V_up_ratio) * var_intracellular_calcium_concentration__i_up) - var_intracellular_calcium_concentration__i_trans;
00536 double d_dt_intracellular_calcium_concentration__Ca_rel = ((var_intracellular_calcium_concentration__V_up_ratio / var_intracellular_calcium_concentration__V_rel_ratio) * var_intracellular_calcium_concentration__i_trans) - var_intracellular_calcium_concentration__i_rel;
00537
00538 rResidual[0] = rCurrentGuess[0] - rY[8] - mDt*0.001*d_dt_L_type_Ca_channel_f2_gate__f2;
00539 rResidual[1] = rCurrentGuess[1] - rY[9] - mDt*0.001*d_dt_L_type_Ca_channel_f2ds_gate__f2ds;
00540 rResidual[2] = rCurrentGuess[2] - rY[12] - mDt*0.001*d_dt_calcium_release__ActFrac;
00541 rResidual[3] = rCurrentGuess[3] - rY[13] - mDt*0.001*d_dt_calcium_release__ProdFrac;
00542 rResidual[11] = rCurrentGuess[11] - rY[14] - mDt*0.001*d_dt_intracellular_sodium_concentration__Na_i;
00543 rResidual[10] = rCurrentGuess[10] - rY[15] - mDt*0.001*d_dt_intracellular_potassium_concentration__K_i;
00544 rResidual[7] = rCurrentGuess[7] - rY[16] - mDt*0.001*d_dt_intracellular_calcium_concentration__Ca_i;
00545 rResidual[6] = rCurrentGuess[6] - rY[17] - mDt*0.001*d_dt_intracellular_calcium_concentration__Ca_ds;
00546 rResidual[9] = rCurrentGuess[9] - rY[18] - mDt*0.001*d_dt_intracellular_calcium_concentration__Ca_up;
00547 rResidual[8] = rCurrentGuess[8] - rY[19] - mDt*0.001*d_dt_intracellular_calcium_concentration__Ca_rel;
00548 rResidual[4] = rCurrentGuess[4] - rY[20] - mDt*0.001*d_dt_intracellular_calcium_concentration__Ca_Calmod;
00549 rResidual[5] = rCurrentGuess[5] - rY[21] - mDt*0.001*d_dt_intracellular_calcium_concentration__Ca_Trop;
00550 }
00551
00552 void ComputeJacobian(const double rCurrentGuess[12], double rJacobian[12][12])
00553 {
00554 std::vector<double>& rY = rGetStateVariables();
00555 double var_membrane__V = rY[0];
00556
00557 double var_rapid_delayed_rectifier_potassium_current_xr1_gate__xr1 = rY[1];
00558
00559 double var_rapid_delayed_rectifier_potassium_current_xr2_gate__xr2 = rY[2];
00560
00561 double var_slow_delayed_rectifier_potassium_current_xs_gate__xs = rY[3];
00562
00563 double var_fast_sodium_current_m_gate__m = rY[4];
00564
00565 double var_fast_sodium_current_h_gate__h = rY[5];
00566
00567 double var_L_type_Ca_channel_d_gate__d = rY[6];
00568
00569 double var_L_type_Ca_channel_f_gate__f = rY[7];
00570
00571 double var_transient_outward_current_s_gate__s = rY[10];
00572
00573 double var_transient_outward_current_r_gate__r = rY[11];
00574
00575
00576 double var_L_type_Ca_channel_f2_gate__f2 = rCurrentGuess[0];
00577 double var_L_type_Ca_channel_f2ds_gate__f2ds = rCurrentGuess[1];
00578 double var_calcium_release__ActFrac = rCurrentGuess[2];
00579 double var_calcium_release__ProdFrac = rCurrentGuess[3];
00580 double var_intracellular_calcium_concentration__Ca_Calmod = rCurrentGuess[4];
00581 double var_intracellular_calcium_concentration__Ca_Trop = rCurrentGuess[5];
00582 double var_intracellular_calcium_concentration__Ca_ds = rCurrentGuess[6];
00583 double var_intracellular_calcium_concentration__Ca_i = rCurrentGuess[7];
00584 double var_intracellular_calcium_concentration__Ca_rel = rCurrentGuess[8];
00585 double var_intracellular_calcium_concentration__Ca_up = rCurrentGuess[9];
00586 double var_intracellular_potassium_concentration__K_i = rCurrentGuess[10];
00587 double var_intracellular_sodium_concentration__Na_i = rCurrentGuess[11];
00588
00589 const double var_membrane__R = 8314.472;
00590 const double var_membrane__T = 310.0;
00591 const double var_membrane__F = 96485.3415;
00592 const double var_extracellular_potassium_concentration__K_o = 4.0;
00593 const double var_time_independent_potassium_current__K_mk1 = 10.0;
00594 const double var_time_independent_potassium_current__g_K1 = 0.5;
00595 const double var_transient_outward_current__g_to = 0.005;
00596 const double var_transient_outward_current__g_tos = 0.0;
00597 const double var_rapid_delayed_rectifier_potassium_current__g_Kr2 = 0.0013;
00598 const double var_rapid_delayed_rectifier_potassium_current__g_Kr1 = 0.0021;
00599 const double var_extracellular_sodium_concentration__Na_o = 140.0;
00600 const double var_reversal_potentials__P_kna = 0.03;
00601 const double var_slow_delayed_rectifier_potassium_current__g_Ks = 0.0026;
00602 const double var_L_type_Ca_channel__FrICa = 1.0;
00603 const double var_L_type_Ca_channel__P_Ca_L = 0.1;
00604 const double var_L_type_Ca_channel__P_CaK = 0.002;
00605 const double var_sodium_potassium_pump__i_NaK_max = 0.7;
00606 const double var_sodium_potassium_pump__K_mNa = 40.0;
00607 const double var_sodium_potassium_pump__K_mK = 1.0;
00608 const double var_fast_sodium_current__g_Na = 2.5;
00609 const double var_sodium_background_current__g_bna = 0.0006;
00610 const double var_persistent_sodium_current__g_pna = 0.004;
00611 const double var_L_type_Ca_channel__P_CaNa = 0.01;
00612 const double var_sodium_calcium_exchanger__n_NaCa = 3.0;
00613 const double var_sodium_calcium_exchanger__gamma = 0.5;
00614 const double var_sodium_calcium_exchanger__FRiNaCa = 0.001;
00615 const double var_sodium_calcium_exchanger__d_NaCa = 0.0;
00616 const double var_extracellular_calcium_concentration__Ca_o = 2.0;
00617 const double var_sodium_calcium_exchanger__k_NaCa = 0.0005;
00618 const double var_calcium_background_current__g_bca = 0.00025;
00619 const double var_L_type_Ca_channel__Km_f2 = 100000.0;
00620 const double var_L_type_Ca_channel__Km_f2ds = 0.001;
00621 const double var_L_type_Ca_channel__R_decay = 20.0;
00622 const double var_sarcoplasmic_reticulum_calcium_pump__alpha_up = 0.4;
00623 const double var_sarcoplasmic_reticulum_calcium_pump__beta_up = 0.03;
00624 const double var_sarcoplasmic_reticulum_calcium_pump__K_srca = 0.5;
00625 const double var_sarcoplasmic_reticulum_calcium_pump__K_xcs = 0.4;
00626 const double var_sarcoplasmic_reticulum_calcium_pump__K_cyca = 0.0003;
00627 const double var_calcium_release__K_m_rel = 250.0;
00628 const double var_calcium_release__K_leak_rate = 0.05;
00629 const double var_calcium_release__K_m_Ca_cyt = 0.0005;
00630 const double var_calcium_release__K_m_Ca_ds = 0.01;
00631 const double var_intracellular_calcium_concentration__V_up_ratio = 0.01;
00632 const double var_intracellular_calcium_concentration__V_rel_ratio = 0.1;
00633 const double var_intracellular_calcium_concentration__V_e_ratio = 0.4;
00634 const double var_intracellular_calcium_concentration__radius = 0.012;
00635 const double var_intracellular_calcium_concentration__length = 0.074;
00636 const double var_intracellular_calcium_concentration__Calmod = 0.02;
00637 const double var_intracellular_calcium_concentration__Trop = 0.05;
00638 const double var_intracellular_calcium_concentration__alpha_Calmod = 100000.0;
00639 const double var_intracellular_calcium_concentration__beta_Calmod = 50.0;
00640 const double var_intracellular_calcium_concentration__alpha_Trop = 100000.0;
00641 const double var_intracellular_calcium_concentration__beta_Trop = 200.0;
00642 const double var_intracellular_calcium_concentration__V_ds_ratio = 0.1;
00643 const double var_intracellular_calcium_concentration__Kdecay = 10.0;
00644
00645 rJacobian[0][0] = 1.0 + 0.001*mDt;
00646 rJacobian[0][1] = 0.0;
00647 rJacobian[0][2] = 0.0;
00648 rJacobian[0][3] = 0.0;
00649 rJacobian[0][4] = 0.0;
00650 rJacobian[0][5] = 0.0;
00651 rJacobian[0][6] = 0.0;
00652 rJacobian[0][7] = (-0.001*mDt) * (((-1.0) / (var_L_type_Ca_channel__Km_f2 + var_intracellular_calcium_concentration__Ca_i)) + (var_intracellular_calcium_concentration__Ca_i / pow(var_L_type_Ca_channel__Km_f2 + var_intracellular_calcium_concentration__Ca_i, 2.0)));
00653 rJacobian[0][8] = 0.0;
00654 rJacobian[0][9] = 0.0;
00655 rJacobian[0][10] = 0.0;
00656 rJacobian[0][11] = 0.0;
00657 rJacobian[1][0] = 0.0;
00658 rJacobian[1][1] = 1.0 + (0.001*mDt * var_L_type_Ca_channel__R_decay);
00659 rJacobian[1][2] = 0.0;
00660 rJacobian[1][3] = 0.0;
00661 rJacobian[1][4] = 0.0;
00662 rJacobian[1][5] = 0.0;
00663 rJacobian[1][6] = ((-0.001*mDt) * var_L_type_Ca_channel__R_decay) * (((-1.0) / (var_L_type_Ca_channel__Km_f2ds + var_intracellular_calcium_concentration__Ca_ds)) + (var_intracellular_calcium_concentration__Ca_ds / pow(var_L_type_Ca_channel__Km_f2ds + var_intracellular_calcium_concentration__Ca_ds, 2.0)));
00664 rJacobian[1][7] = 0.0;
00665 rJacobian[1][8] = 0.0;
00666 rJacobian[1][9] = 0.0;
00667 rJacobian[1][10] = 0.0;
00668 rJacobian[1][11] = 0.0;
00669 rJacobian[2][0] = 0.0;
00670 rJacobian[2][1] = 0.0;
00671 rJacobian[2][2] = 1.0 - (0.001*mDt * ((((-500.0) * ((var_membrane__V < (-50.0)) ? 5.0 : 1.0)) * pow((var_intracellular_calcium_concentration__Ca_i / (var_intracellular_calcium_concentration__Ca_i + var_calcium_release__K_m_Ca_cyt)) + (((1.0 - (var_intracellular_calcium_concentration__Ca_i / (var_intracellular_calcium_concentration__Ca_i + var_calcium_release__K_m_Ca_cyt))) * var_intracellular_calcium_concentration__Ca_ds) / (var_intracellular_calcium_concentration__Ca_ds + var_calcium_release__K_m_Ca_ds)), 2.0)) - (((var_membrane__V < (-50.0)) ? 5.0 : 1.0) * (60.0 + (500.0 * pow((var_intracellular_calcium_concentration__Ca_i / (var_intracellular_calcium_concentration__Ca_i + var_calcium_release__K_m_Ca_cyt)) + (((1.0 - (var_intracellular_calcium_concentration__Ca_i / (var_intracellular_calcium_concentration__Ca_i + var_calcium_release__K_m_Ca_cyt))) * var_intracellular_calcium_concentration__Ca_ds) / (var_intracellular_calcium_concentration__Ca_ds + var_calcium_release__K_m_Ca_ds)), 2.0))))));
00672 rJacobian[2][3] = ((500.0 * 0.001*mDt) * ((var_membrane__V < (-50.0)) ? 5.0 : 1.0)) * pow((var_intracellular_calcium_concentration__Ca_i / (var_intracellular_calcium_concentration__Ca_i + var_calcium_release__K_m_Ca_cyt)) + (((1.0 - (var_intracellular_calcium_concentration__Ca_i / (var_intracellular_calcium_concentration__Ca_i + var_calcium_release__K_m_Ca_cyt))) * var_intracellular_calcium_concentration__Ca_ds) / (var_intracellular_calcium_concentration__Ca_ds + var_calcium_release__K_m_Ca_ds)), 2.0);
00673 rJacobian[2][4] = 0.0;
00674 rJacobian[2][5] = 0.0;
00675 rJacobian[2][6] = (-0.001*mDt) * (((((1000.0 * ((1.0 - var_calcium_release__ActFrac) - var_calcium_release__ProdFrac)) * ((var_membrane__V < (-50.0)) ? 5.0 : 1.0)) * ((var_intracellular_calcium_concentration__Ca_i / (var_intracellular_calcium_concentration__Ca_i + var_calcium_release__K_m_Ca_cyt)) + (((1.0 - (var_intracellular_calcium_concentration__Ca_i / (var_intracellular_calcium_concentration__Ca_i + var_calcium_release__K_m_Ca_cyt))) * var_intracellular_calcium_concentration__Ca_ds) / (var_intracellular_calcium_concentration__Ca_ds + var_calcium_release__K_m_Ca_ds)))) * (((1.0 - (var_intracellular_calcium_concentration__Ca_i / (var_intracellular_calcium_concentration__Ca_i + var_calcium_release__K_m_Ca_cyt))) / (var_intracellular_calcium_concentration__Ca_ds + var_calcium_release__K_m_Ca_ds)) - (((1.0 - (var_intracellular_calcium_concentration__Ca_i / (var_intracellular_calcium_concentration__Ca_i + var_calcium_release__K_m_Ca_cyt))) * var_intracellular_calcium_concentration__Ca_ds) / pow(var_intracellular_calcium_concentration__Ca_ds + var_calcium_release__K_m_Ca_ds, 2.0)))) - ((((1000.0 * var_calcium_release__ActFrac) * ((var_membrane__V < (-50.0)) ? 5.0 : 1.0)) * ((var_intracellular_calcium_concentration__Ca_i / (var_intracellular_calcium_concentration__Ca_i + var_calcium_release__K_m_Ca_cyt)) + (((1.0 - (var_intracellular_calcium_concentration__Ca_i / (var_intracellular_calcium_concentration__Ca_i + var_calcium_release__K_m_Ca_cyt))) * var_intracellular_calcium_concentration__Ca_ds) / (var_intracellular_calcium_concentration__Ca_ds + var_calcium_release__K_m_Ca_ds)))) * (((1.0 - (var_intracellular_calcium_concentration__Ca_i / (var_intracellular_calcium_concentration__Ca_i + var_calcium_release__K_m_Ca_cyt))) / (var_intracellular_calcium_concentration__Ca_ds + var_calcium_release__K_m_Ca_ds)) - (((1.0 - (var_intracellular_calcium_concentration__Ca_i / (var_intracellular_calcium_concentration__Ca_i + var_calcium_release__K_m_Ca_cyt))) * var_intracellular_calcium_concentration__Ca_ds) / pow(var_intracellular_calcium_concentration__Ca_ds + var_calcium_release__K_m_Ca_ds, 2.0)))));
00676 rJacobian[2][7] = (-0.001*mDt) * (((((1000.0 * ((1.0 - var_calcium_release__ActFrac) - var_calcium_release__ProdFrac)) * ((var_membrane__V < (-50.0)) ? 5.0 : 1.0)) * ((var_intracellular_calcium_concentration__Ca_i / (var_intracellular_calcium_concentration__Ca_i + var_calcium_release__K_m_Ca_cyt)) + (((1.0 - (var_intracellular_calcium_concentration__Ca_i / (var_intracellular_calcium_concentration__Ca_i + var_calcium_release__K_m_Ca_cyt))) * var_intracellular_calcium_concentration__Ca_ds) / (var_intracellular_calcium_concentration__Ca_ds + var_calcium_release__K_m_Ca_ds)))) * (((1.0 / (var_intracellular_calcium_concentration__Ca_i + var_calcium_release__K_m_Ca_cyt)) - (var_intracellular_calcium_concentration__Ca_i / pow(var_intracellular_calcium_concentration__Ca_i + var_calcium_release__K_m_Ca_cyt, 2.0))) + (((((-1.0) / (var_intracellular_calcium_concentration__Ca_i + var_calcium_release__K_m_Ca_cyt)) + (var_intracellular_calcium_concentration__Ca_i / pow(var_intracellular_calcium_concentration__Ca_i + var_calcium_release__K_m_Ca_cyt, 2.0))) * var_intracellular_calcium_concentration__Ca_ds) / (var_intracellular_calcium_concentration__Ca_ds + var_calcium_release__K_m_Ca_ds)))) - ((((1000.0 * var_calcium_release__ActFrac) * ((var_membrane__V < (-50.0)) ? 5.0 : 1.0)) * ((var_intracellular_calcium_concentration__Ca_i / (var_intracellular_calcium_concentration__Ca_i + var_calcium_release__K_m_Ca_cyt)) + (((1.0 - (var_intracellular_calcium_concentration__Ca_i / (var_intracellular_calcium_concentration__Ca_i + var_calcium_release__K_m_Ca_cyt))) * var_intracellular_calcium_concentration__Ca_ds) / (var_intracellular_calcium_concentration__Ca_ds + var_calcium_release__K_m_Ca_ds)))) * (((1.0 / (var_intracellular_calcium_concentration__Ca_i + var_calcium_release__K_m_Ca_cyt)) - (var_intracellular_calcium_concentration__Ca_i / pow(var_intracellular_calcium_concentration__Ca_i + var_calcium_release__K_m_Ca_cyt, 2.0))) + (((((-1.0) / (var_intracellular_calcium_concentration__Ca_i + var_calcium_release__K_m_Ca_cyt)) + (var_intracellular_calcium_concentration__Ca_i / pow(var_intracellular_calcium_concentration__Ca_i + var_calcium_release__K_m_Ca_cyt, 2.0))) * var_intracellular_calcium_concentration__Ca_ds) / (var_intracellular_calcium_concentration__Ca_ds + var_calcium_release__K_m_Ca_ds)))));
00677 rJacobian[2][8] = 0.0;
00678 rJacobian[2][9] = 0.0;
00679 rJacobian[2][10] = 0.0;
00680 rJacobian[2][11] = 0.0;
00681 rJacobian[3][0] = 0.0;
00682 rJacobian[3][1] = 0.0;
00683 rJacobian[3][2] = ((-0.001*mDt) * ((var_membrane__V < (-50.0)) ? 5.0 : 1.0)) * (60.0 + (500.0 * pow((var_intracellular_calcium_concentration__Ca_i / (var_intracellular_calcium_concentration__Ca_i + var_calcium_release__K_m_Ca_cyt)) + (((1.0 - (var_intracellular_calcium_concentration__Ca_i / (var_intracellular_calcium_concentration__Ca_i + var_calcium_release__K_m_Ca_cyt))) * var_intracellular_calcium_concentration__Ca_ds) / (var_intracellular_calcium_concentration__Ca_ds + var_calcium_release__K_m_Ca_ds)), 2.0)));
00684 rJacobian[3][3] = 1.0 + (0.001*mDt * ((var_membrane__V < (-50.0)) ? 5.0 : 1.0));
00685 rJacobian[3][4] = 0.0;
00686 rJacobian[3][5] = 0.0;
00687 rJacobian[3][6] = (((((-1000.0) * 0.001*mDt) * var_calcium_release__ActFrac) * ((var_membrane__V < (-50.0)) ? 5.0 : 1.0)) * ((var_intracellular_calcium_concentration__Ca_i / (var_intracellular_calcium_concentration__Ca_i + var_calcium_release__K_m_Ca_cyt)) + (((1.0 - (var_intracellular_calcium_concentration__Ca_i / (var_intracellular_calcium_concentration__Ca_i + var_calcium_release__K_m_Ca_cyt))) * var_intracellular_calcium_concentration__Ca_ds) / (var_intracellular_calcium_concentration__Ca_ds + var_calcium_release__K_m_Ca_ds)))) * (((1.0 - (var_intracellular_calcium_concentration__Ca_i / (var_intracellular_calcium_concentration__Ca_i + var_calcium_release__K_m_Ca_cyt))) / (var_intracellular_calcium_concentration__Ca_ds + var_calcium_release__K_m_Ca_ds)) - (((1.0 - (var_intracellular_calcium_concentration__Ca_i / (var_intracellular_calcium_concentration__Ca_i + var_calcium_release__K_m_Ca_cyt))) * var_intracellular_calcium_concentration__Ca_ds) / pow(var_intracellular_calcium_concentration__Ca_ds + var_calcium_release__K_m_Ca_ds, 2.0)));
00688 rJacobian[3][7] = (((((-1000.0) * 0.001*mDt) * var_calcium_release__ActFrac) * ((var_membrane__V < (-50.0)) ? 5.0 : 1.0)) * ((var_intracellular_calcium_concentration__Ca_i / (var_intracellular_calcium_concentration__Ca_i + var_calcium_release__K_m_Ca_cyt)) + (((1.0 - (var_intracellular_calcium_concentration__Ca_i / (var_intracellular_calcium_concentration__Ca_i + var_calcium_release__K_m_Ca_cyt))) * var_intracellular_calcium_concentration__Ca_ds) / (var_intracellular_calcium_concentration__Ca_ds + var_calcium_release__K_m_Ca_ds)))) * (((1.0 / (var_intracellular_calcium_concentration__Ca_i + var_calcium_release__K_m_Ca_cyt)) - (var_intracellular_calcium_concentration__Ca_i / pow(var_intracellular_calcium_concentration__Ca_i + var_calcium_release__K_m_Ca_cyt, 2.0))) + (((((-1.0) / (var_intracellular_calcium_concentration__Ca_i + var_calcium_release__K_m_Ca_cyt)) + (var_intracellular_calcium_concentration__Ca_i / pow(var_intracellular_calcium_concentration__Ca_i + var_calcium_release__K_m_Ca_cyt, 2.0))) * var_intracellular_calcium_concentration__Ca_ds) / (var_intracellular_calcium_concentration__Ca_ds + var_calcium_release__K_m_Ca_ds)));
00689 rJacobian[3][8] = 0.0;
00690 rJacobian[3][9] = 0.0;
00691 rJacobian[3][10] = 0.0;
00692 rJacobian[3][11] = 0.0;
00693 rJacobian[4][0] = 0.0;
00694 rJacobian[4][1] = 0.0;
00695 rJacobian[4][2] = 0.0;
00696 rJacobian[4][3] = 0.0;
00697 rJacobian[4][4] = 1.0 - (0.001*mDt * (((-var_intracellular_calcium_concentration__alpha_Calmod) * var_intracellular_calcium_concentration__Ca_i) - var_intracellular_calcium_concentration__beta_Calmod));
00698 rJacobian[4][5] = 0.0;
00699 rJacobian[4][6] = 0.0;
00700 rJacobian[4][7] = ((-0.001*mDt) * var_intracellular_calcium_concentration__alpha_Calmod) * (var_intracellular_calcium_concentration__Calmod - var_intracellular_calcium_concentration__Ca_Calmod);
00701 rJacobian[4][8] = 0.0;
00702 rJacobian[4][9] = 0.0;
00703 rJacobian[4][10] = 0.0;
00704 rJacobian[4][11] = 0.0;
00705 rJacobian[5][0] = 0.0;
00706 rJacobian[5][1] = 0.0;
00707 rJacobian[5][2] = 0.0;
00708 rJacobian[5][3] = 0.0;
00709 rJacobian[5][4] = 0.0;
00710 rJacobian[5][5] = 1.0 - (0.001*mDt * (((-var_intracellular_calcium_concentration__alpha_Trop) * var_intracellular_calcium_concentration__Ca_i) - var_intracellular_calcium_concentration__beta_Trop));
00711 rJacobian[5][6] = 0.0;
00712 rJacobian[5][7] = ((-0.001*mDt) * var_intracellular_calcium_concentration__alpha_Trop) * (var_intracellular_calcium_concentration__Trop - var_intracellular_calcium_concentration__Ca_Trop);
00713 rJacobian[5][8] = 0.0;
00714 rJacobian[5][9] = 0.0;
00715 rJacobian[5][10] = 0.0;
00716 rJacobian[5][11] = 0.0;
00717 rJacobian[6][0] = 0.0;
00718 rJacobian[6][1] = (((((((((((((0.6366197725 * 0.001*mDt) * var_L_type_Ca_channel__FrICa) * var_L_type_Ca_channel__P_Ca_L) * var_L_type_Ca_channel_d_gate__d) * var_L_type_Ca_channel_f_gate__f) * (var_membrane__V - 50.0)) / var_membrane__R) / var_membrane__T) / (1.0 - exp((((2.0 * ((-var_membrane__V) + 50.0)) * var_membrane__F) / var_membrane__R) / var_membrane__T))) * ((var_intracellular_calcium_concentration__Ca_i * exp(((100.0 * var_membrane__F) / var_membrane__R) / var_membrane__T)) - (var_extracellular_calcium_concentration__Ca_o * exp((((2.0 * ((-var_membrane__V) + 50.0)) * var_membrane__F) / var_membrane__R) / var_membrane__T)))) / var_intracellular_calcium_concentration__V_ds_ratio) / pow(var_intracellular_calcium_concentration__radius, 2.0)) / var_intracellular_calcium_concentration__length) / (((1.0 - var_intracellular_calcium_concentration__V_e_ratio) - var_intracellular_calcium_concentration__V_up_ratio) - var_intracellular_calcium_concentration__V_rel_ratio);
00719 rJacobian[6][2] = 0.0;
00720 rJacobian[6][3] = 0.0;
00721 rJacobian[6][4] = 0.0;
00722 rJacobian[6][5] = 0.0;
00723 rJacobian[6][6] = 1.0 + (0.001*mDt * var_intracellular_calcium_concentration__Kdecay);
00724 rJacobian[6][7] = ((((((((((((((0.6366197725 * 0.001*mDt) * var_L_type_Ca_channel__FrICa) * var_L_type_Ca_channel__P_Ca_L) * var_L_type_Ca_channel_d_gate__d) * var_L_type_Ca_channel_f_gate__f) * var_L_type_Ca_channel_f2ds_gate__f2ds) * (var_membrane__V - 50.0)) / var_membrane__R) / var_membrane__T) / (1.0 - exp((((2.0 * ((-var_membrane__V) + 50.0)) * var_membrane__F) / var_membrane__R) / var_membrane__T))) * exp(((100.0 * var_membrane__F) / var_membrane__R) / var_membrane__T)) / var_intracellular_calcium_concentration__V_ds_ratio) / pow(var_intracellular_calcium_concentration__radius, 2.0)) / var_intracellular_calcium_concentration__length) / (((1.0 - var_intracellular_calcium_concentration__V_e_ratio) - var_intracellular_calcium_concentration__V_up_ratio) - var_intracellular_calcium_concentration__V_rel_ratio);
00725 rJacobian[6][8] = 0.0;
00726 rJacobian[6][9] = 0.0;
00727 rJacobian[6][10] = 0.0;
00728 rJacobian[6][11] = 0.0;
00729 rJacobian[7][0] = ((((((((((((0.636619772 * 0.001*mDt) / pow(var_intracellular_calcium_concentration__radius, 2.0)) / var_intracellular_calcium_concentration__length) / (((1.0 - var_intracellular_calcium_concentration__V_e_ratio) - var_intracellular_calcium_concentration__V_up_ratio) - var_intracellular_calcium_concentration__V_rel_ratio)) * (1.0 - var_L_type_Ca_channel__FrICa)) * var_L_type_Ca_channel__P_Ca_L) * var_L_type_Ca_channel_d_gate__d) * var_L_type_Ca_channel_f_gate__f) * (var_membrane__V - 50.0)) / var_membrane__R) / var_membrane__T) / (1.0 - exp((((2.0 * ((-var_membrane__V) + 50.0)) * var_membrane__F) / var_membrane__R) / var_membrane__T))) * ((var_intracellular_calcium_concentration__Ca_i * exp(((100.0 * var_membrane__F) / var_membrane__R) / var_membrane__T)) - (var_extracellular_calcium_concentration__Ca_o * exp((((2.0 * ((-var_membrane__V) + 50.0)) * var_membrane__F) / var_membrane__R) / var_membrane__T)));
00730 rJacobian[7][1] = 0.0;
00731 rJacobian[7][2] = ((((-0.001*mDt) * ((((2.0 * var_calcium_release__ActFrac) / pow(var_calcium_release__ActFrac + 0.25, 2.0)) * var_calcium_release__K_m_rel) - (((2.0 * pow(var_calcium_release__ActFrac, 2.0)) / pow(var_calcium_release__ActFrac + 0.25, 3.0)) * var_calcium_release__K_m_rel))) * var_intracellular_calcium_concentration__Ca_rel) * var_intracellular_calcium_concentration__V_rel_ratio) / (((1.0 - var_intracellular_calcium_concentration__V_e_ratio) - var_intracellular_calcium_concentration__V_up_ratio) - var_intracellular_calcium_concentration__V_rel_ratio);
00732 rJacobian[7][3] = 0.0;
00733 rJacobian[7][4] = (-0.001*mDt) * ((var_intracellular_calcium_concentration__alpha_Calmod * var_intracellular_calcium_concentration__Ca_i) + var_intracellular_calcium_concentration__beta_Calmod);
00734 rJacobian[7][5] = (-0.001*mDt) * ((var_intracellular_calcium_concentration__alpha_Trop * var_intracellular_calcium_concentration__Ca_i) + var_intracellular_calcium_concentration__beta_Trop);
00735 rJacobian[7][6] = (-0.001*mDt) * (((((((-0.159154943) / pow(var_intracellular_calcium_concentration__radius, 2.0)) / var_intracellular_calcium_concentration__length) / (((1.0 - var_intracellular_calcium_concentration__V_e_ratio) - var_intracellular_calcium_concentration__V_up_ratio) - var_intracellular_calcium_concentration__V_rel_ratio)) / var_membrane__F) * ((((((((2.0 * var_sodium_calcium_exchanger__FRiNaCa) * var_sodium_calcium_exchanger__k_NaCa) * exp((((((var_sodium_calcium_exchanger__gamma - 1.0) * (var_sodium_calcium_exchanger__n_NaCa - 2.0)) * var_membrane__V) * var_membrane__F) / var_membrane__R) / var_membrane__T)) * pow(var_extracellular_sodium_concentration__Na_o, var_sodium_calcium_exchanger__n_NaCa)) / (1.0 + (var_sodium_calcium_exchanger__d_NaCa * ((var_intracellular_calcium_concentration__Ca_ds * pow(var_extracellular_sodium_concentration__Na_o, var_sodium_calcium_exchanger__n_NaCa)) + (var_extracellular_calcium_concentration__Ca_o * pow(var_intracellular_sodium_concentration__Na_i, var_sodium_calcium_exchanger__n_NaCa)))))) / (1.0 + (144.9275362 * var_intracellular_calcium_concentration__Ca_ds))) + (((((((2.0 * var_sodium_calcium_exchanger__FRiNaCa) * var_sodium_calcium_exchanger__k_NaCa) * (((exp(((((var_sodium_calcium_exchanger__gamma * (var_sodium_calcium_exchanger__n_NaCa - 2.0)) * var_membrane__V) * var_membrane__F) / var_membrane__R) / var_membrane__T) * pow(var_intracellular_sodium_concentration__Na_i, var_sodium_calcium_exchanger__n_NaCa)) * var_extracellular_calcium_concentration__Ca_o) - ((exp((((((var_sodium_calcium_exchanger__gamma - 1.0) * (var_sodium_calcium_exchanger__n_NaCa - 2.0)) * var_membrane__V) * var_membrane__F) / var_membrane__R) / var_membrane__T) * pow(var_extracellular_sodium_concentration__Na_o, var_sodium_calcium_exchanger__n_NaCa)) * var_intracellular_calcium_concentration__Ca_ds))) / pow(1.0 + (var_sodium_calcium_exchanger__d_NaCa * ((var_intracellular_calcium_concentration__Ca_ds * pow(var_extracellular_sodium_concentration__Na_o, var_sodium_calcium_exchanger__n_NaCa)) + (var_extracellular_calcium_concentration__Ca_o * pow(var_intracellular_sodium_concentration__Na_i, var_sodium_calcium_exchanger__n_NaCa)))), 2.0)) / (1.0 + (144.9275362 * var_intracellular_calcium_concentration__Ca_ds))) * var_sodium_calcium_exchanger__d_NaCa) * pow(var_extracellular_sodium_concentration__Na_o, var_sodium_calcium_exchanger__n_NaCa))) + (((((289.8550724 * var_sodium_calcium_exchanger__FRiNaCa) * var_sodium_calcium_exchanger__k_NaCa) * (((exp(((((var_sodium_calcium_exchanger__gamma * (var_sodium_calcium_exchanger__n_NaCa - 2.0)) * var_membrane__V) * var_membrane__F) / var_membrane__R) / var_membrane__T) * pow(var_intracellular_sodium_concentration__Na_i, var_sodium_calcium_exchanger__n_NaCa)) * var_extracellular_calcium_concentration__Ca_o) - ((exp((((((var_sodium_calcium_exchanger__gamma - 1.0) * (var_sodium_calcium_exchanger__n_NaCa - 2.0)) * var_membrane__V) * var_membrane__F) / var_membrane__R) / var_membrane__T) * pow(var_extracellular_sodium_concentration__Na_o, var_sodium_calcium_exchanger__n_NaCa)) * var_intracellular_calcium_concentration__Ca_ds))) / (1.0 + (var_sodium_calcium_exchanger__d_NaCa * ((var_intracellular_calcium_concentration__Ca_ds * pow(var_extracellular_sodium_concentration__Na_o, var_sodium_calcium_exchanger__n_NaCa)) + (var_extracellular_calcium_concentration__Ca_o * pow(var_intracellular_sodium_concentration__Na_i, var_sodium_calcium_exchanger__n_NaCa)))))) / pow(1.0 + (144.9275362 * var_intracellular_calcium_concentration__Ca_ds), 2.0)))) + (var_intracellular_calcium_concentration__V_ds_ratio * var_intracellular_calcium_concentration__Kdecay));
00736 rJacobian[7][7] = 1.0 - (0.001*mDt * (((((((((((-0.159154943) / pow(var_intracellular_calcium_concentration__radius, 2.0)) / var_intracellular_calcium_concentration__length) / (((1.0 - var_intracellular_calcium_concentration__V_e_ratio) - var_intracellular_calcium_concentration__V_up_ratio) - var_intracellular_calcium_concentration__V_rel_ratio)) / var_membrane__F) * (((((((((((((((4.0 * (1.0 - var_L_type_Ca_channel__FrICa)) * var_L_type_Ca_channel__P_Ca_L) * var_L_type_Ca_channel_d_gate__d) * var_L_type_Ca_channel_f_gate__f) * var_L_type_Ca_channel_f2_gate__f2) * (var_membrane__V - 50.0)) * var_membrane__F) / var_membrane__R) / var_membrane__T) / (1.0 - exp((((2.0 * ((-var_membrane__V) + 50.0)) * var_membrane__F) / var_membrane__R) / var_membrane__T))) * exp(((100.0 * var_membrane__F) / var_membrane__R) / var_membrane__T)) + (((((0.5 * var_calcium_background_current__g_bca) * var_membrane__R) * var_membrane__T) / var_membrane__F) / var_intracellular_calcium_concentration__Ca_i)) + ((((((2.0 * (1.0 - var_sodium_calcium_exchanger__FRiNaCa)) * var_sodium_calcium_exchanger__k_NaCa) * exp((((((var_sodium_calcium_exchanger__gamma - 1.0) * (var_sodium_calcium_exchanger__n_NaCa - 2.0)) * var_membrane__V) * var_membrane__F) / var_membrane__R) / var_membrane__T)) * pow(var_extracellular_sodium_concentration__Na_o, var_sodium_calcium_exchanger__n_NaCa)) / (1.0 + (var_sodium_calcium_exchanger__d_NaCa * ((var_intracellular_calcium_concentration__Ca_i * pow(var_extracellular_sodium_concentration__Na_o, var_sodium_calcium_exchanger__n_NaCa)) + (var_extracellular_calcium_concentration__Ca_o * pow(var_intracellular_sodium_concentration__Na_i, var_sodium_calcium_exchanger__n_NaCa)))))) / (1.0 + (144.9275362 * var_intracellular_calcium_concentration__Ca_i)))) + (((((((2.0 * (1.0 - var_sodium_calcium_exchanger__FRiNaCa)) * var_sodium_calcium_exchanger__k_NaCa) * (((exp(((((var_sodium_calcium_exchanger__gamma * (var_sodium_calcium_exchanger__n_NaCa - 2.0)) * var_membrane__V) * var_membrane__F) / var_membrane__R) / var_membrane__T) * pow(var_intracellular_sodium_concentration__Na_i, var_sodium_calcium_exchanger__n_NaCa)) * var_extracellular_calcium_concentration__Ca_o) - ((exp((((((var_sodium_calcium_exchanger__gamma - 1.0) * (var_sodium_calcium_exchanger__n_NaCa - 2.0)) * var_membrane__V) * var_membrane__F) / var_membrane__R) / var_membrane__T) * pow(var_extracellular_sodium_concentration__Na_o, var_sodium_calcium_exchanger__n_NaCa)) * var_intracellular_calcium_concentration__Ca_i))) / pow(1.0 + (var_sodium_calcium_exchanger__d_NaCa * ((var_intracellular_calcium_concentration__Ca_i * pow(var_extracellular_sodium_concentration__Na_o, var_sodium_calcium_exchanger__n_NaCa)) + (var_extracellular_calcium_concentration__Ca_o * pow(var_intracellular_sodium_concentration__Na_i, var_sodium_calcium_exchanger__n_NaCa)))), 2.0)) / (1.0 + (144.9275362 * var_intracellular_calcium_concentration__Ca_i))) * var_sodium_calcium_exchanger__d_NaCa) * pow(var_extracellular_sodium_concentration__Na_o, var_sodium_calcium_exchanger__n_NaCa))) + (((((289.8550724 * (1.0 - var_sodium_calcium_exchanger__FRiNaCa)) * var_sodium_calcium_exchanger__k_NaCa) * (((exp(((((var_sodium_calcium_exchanger__gamma * (var_sodium_calcium_exchanger__n_NaCa - 2.0)) * var_membrane__V) * var_membrane__F) / var_membrane__R) / var_membrane__T) * pow(var_intracellular_sodium_concentration__Na_i, var_sodium_calcium_exchanger__n_NaCa)) * var_extracellular_calcium_concentration__Ca_o) - ((exp((((((var_sodium_calcium_exchanger__gamma - 1.0) * (var_sodium_calcium_exchanger__n_NaCa - 2.0)) * var_membrane__V) * var_membrane__F) / var_membrane__R) / var_membrane__T) * pow(var_extracellular_sodium_concentration__Na_o, var_sodium_calcium_exchanger__n_NaCa)) * var_intracellular_calcium_concentration__Ca_i))) / (1.0 + (var_sodium_calcium_exchanger__d_NaCa * ((var_intracellular_calcium_concentration__Ca_i * pow(var_extracellular_sodium_concentration__Na_o, var_sodium_calcium_exchanger__n_NaCa)) + (var_extracellular_calcium_concentration__Ca_o * pow(var_intracellular_sodium_concentration__Na_i, var_sodium_calcium_exchanger__n_NaCa)))))) / pow(1.0 + (144.9275362 * var_intracellular_calcium_concentration__Ca_i), 2.0)))) - (var_intracellular_calcium_concentration__alpha_Calmod * (var_intracellular_calcium_concentration__Calmod - var_intracellular_calcium_concentration__Ca_Calmod))) - (var_intracellular_calcium_concentration__alpha_Trop * (var_intracellular_calcium_concentration__Trop - var_intracellular_calcium_concentration__Ca_Trop))) - ((1.0 / (((var_intracellular_calcium_concentration__Ca_i + (((var_intracellular_calcium_concentration__Ca_up * var_sarcoplasmic_reticulum_calcium_pump__K_cyca) * var_sarcoplasmic_reticulum_calcium_pump__K_xcs) / var_sarcoplasmic_reticulum_calcium_pump__K_srca)) + (var_sarcoplasmic_reticulum_calcium_pump__K_cyca * var_sarcoplasmic_reticulum_calcium_pump__K_xcs)) + var_sarcoplasmic_reticulum_calcium_pump__K_cyca)) * var_sarcoplasmic_reticulum_calcium_pump__alpha_up)) + ((var_intracellular_calcium_concentration__Ca_i / pow(((var_intracellular_calcium_concentration__Ca_i + (((var_intracellular_calcium_concentration__Ca_up * var_sarcoplasmic_reticulum_calcium_pump__K_cyca) * var_sarcoplasmic_reticulum_calcium_pump__K_xcs) / var_sarcoplasmic_reticulum_calcium_pump__K_srca)) + (var_sarcoplasmic_reticulum_calcium_pump__K_cyca * var_sarcoplasmic_reticulum_calcium_pump__K_xcs)) + var_sarcoplasmic_reticulum_calcium_pump__K_cyca, 2.0)) * var_sarcoplasmic_reticulum_calcium_pump__alpha_up)) - (((((var_intracellular_calcium_concentration__Ca_up * var_sarcoplasmic_reticulum_calcium_pump__K_cyca) * var_sarcoplasmic_reticulum_calcium_pump__K_xcs) / var_sarcoplasmic_reticulum_calcium_pump__K_srca) / pow(((var_intracellular_calcium_concentration__Ca_i + (((var_intracellular_calcium_concentration__Ca_up * var_sarcoplasmic_reticulum_calcium_pump__K_cyca) * var_sarcoplasmic_reticulum_calcium_pump__K_xcs) / var_sarcoplasmic_reticulum_calcium_pump__K_srca)) + (var_sarcoplasmic_reticulum_calcium_pump__K_cyca * var_sarcoplasmic_reticulum_calcium_pump__K_xcs)) + var_sarcoplasmic_reticulum_calcium_pump__K_cyca, 2.0)) * var_sarcoplasmic_reticulum_calcium_pump__beta_up)));
00737 rJacobian[7][8] = (((-0.001*mDt) * (((pow(var_calcium_release__ActFrac, 2.0) / pow(var_calcium_release__ActFrac + 0.25, 2.0)) * var_calcium_release__K_m_rel) + var_calcium_release__K_leak_rate)) * var_intracellular_calcium_concentration__V_rel_ratio) / (((1.0 - var_intracellular_calcium_concentration__V_e_ratio) - var_intracellular_calcium_concentration__V_up_ratio) - var_intracellular_calcium_concentration__V_rel_ratio);
00738 rJacobian[7][9] = (-0.001*mDt) * (((((((var_intracellular_calcium_concentration__Ca_i / pow(((var_intracellular_calcium_concentration__Ca_i + (((var_intracellular_calcium_concentration__Ca_up * var_sarcoplasmic_reticulum_calcium_pump__K_cyca) * var_sarcoplasmic_reticulum_calcium_pump__K_xcs) / var_sarcoplasmic_reticulum_calcium_pump__K_srca)) + (var_sarcoplasmic_reticulum_calcium_pump__K_cyca * var_sarcoplasmic_reticulum_calcium_pump__K_xcs)) + var_sarcoplasmic_reticulum_calcium_pump__K_cyca, 2.0)) * var_sarcoplasmic_reticulum_calcium_pump__alpha_up) * var_sarcoplasmic_reticulum_calcium_pump__K_cyca) * var_sarcoplasmic_reticulum_calcium_pump__K_xcs) / var_sarcoplasmic_reticulum_calcium_pump__K_srca) + ((((var_sarcoplasmic_reticulum_calcium_pump__K_cyca * var_sarcoplasmic_reticulum_calcium_pump__K_xcs) / var_sarcoplasmic_reticulum_calcium_pump__K_srca) / (((var_intracellular_calcium_concentration__Ca_i + (((var_intracellular_calcium_concentration__Ca_up * var_sarcoplasmic_reticulum_calcium_pump__K_cyca) * var_sarcoplasmic_reticulum_calcium_pump__K_xcs) / var_sarcoplasmic_reticulum_calcium_pump__K_srca)) + (var_sarcoplasmic_reticulum_calcium_pump__K_cyca * var_sarcoplasmic_reticulum_calcium_pump__K_xcs)) + var_sarcoplasmic_reticulum_calcium_pump__K_cyca)) * var_sarcoplasmic_reticulum_calcium_pump__beta_up)) - (((((var_intracellular_calcium_concentration__Ca_up * pow(var_sarcoplasmic_reticulum_calcium_pump__K_cyca, 2.0)) * pow(var_sarcoplasmic_reticulum_calcium_pump__K_xcs, 2.0)) / pow(var_sarcoplasmic_reticulum_calcium_pump__K_srca, 2.0)) / pow(((var_intracellular_calcium_concentration__Ca_i + (((var_intracellular_calcium_concentration__Ca_up * var_sarcoplasmic_reticulum_calcium_pump__K_cyca) * var_sarcoplasmic_reticulum_calcium_pump__K_xcs) / var_sarcoplasmic_reticulum_calcium_pump__K_srca)) + (var_sarcoplasmic_reticulum_calcium_pump__K_cyca * var_sarcoplasmic_reticulum_calcium_pump__K_xcs)) + var_sarcoplasmic_reticulum_calcium_pump__K_cyca, 2.0)) * var_sarcoplasmic_reticulum_calcium_pump__beta_up));
00739 rJacobian[7][10] = 0.0;
00740 rJacobian[7][11] = (((((0.159154943 * 0.001*mDt) / pow(var_intracellular_calcium_concentration__radius, 2.0)) / var_intracellular_calcium_concentration__length) / (((1.0 - var_intracellular_calcium_concentration__V_e_ratio) - var_intracellular_calcium_concentration__V_up_ratio) - var_intracellular_calcium_concentration__V_rel_ratio)) / var_membrane__F) * (((((((((((((-2.0) * (1.0 - var_sodium_calcium_exchanger__FRiNaCa)) * var_sodium_calcium_exchanger__k_NaCa) * exp(((((var_sodium_calcium_exchanger__gamma * (var_sodium_calcium_exchanger__n_NaCa - 2.0)) * var_membrane__V) * var_membrane__F) / var_membrane__R) / var_membrane__T)) * pow(var_intracellular_sodium_concentration__Na_i, var_sodium_calcium_exchanger__n_NaCa)) * var_sodium_calcium_exchanger__n_NaCa) / var_intracellular_sodium_concentration__Na_i) * var_extracellular_calcium_concentration__Ca_o) / (1.0 + (var_sodium_calcium_exchanger__d_NaCa * ((var_intracellular_calcium_concentration__Ca_i * pow(var_extracellular_sodium_concentration__Na_o, var_sodium_calcium_exchanger__n_NaCa)) + (var_extracellular_calcium_concentration__Ca_o * pow(var_intracellular_sodium_concentration__Na_i, var_sodium_calcium_exchanger__n_NaCa)))))) / (1.0 + (144.9275362 * var_intracellular_calcium_concentration__Ca_i))) + ((((((((((2.0 * (1.0 - var_sodium_calcium_exchanger__FRiNaCa)) * var_sodium_calcium_exchanger__k_NaCa) * (((exp(((((var_sodium_calcium_exchanger__gamma * (var_sodium_calcium_exchanger__n_NaCa - 2.0)) * var_membrane__V) * var_membrane__F) / var_membrane__R) / var_membrane__T) * pow(var_intracellular_sodium_concentration__Na_i, var_sodium_calcium_exchanger__n_NaCa)) * var_extracellular_calcium_concentration__Ca_o) - ((exp((((((var_sodium_calcium_exchanger__gamma - 1.0) * (var_sodium_calcium_exchanger__n_NaCa - 2.0)) * var_membrane__V) * var_membrane__F) / var_membrane__R) / var_membrane__T) * pow(var_extracellular_sodium_concentration__Na_o, var_sodium_calcium_exchanger__n_NaCa)) * var_intracellular_calcium_concentration__Ca_i))) / pow(1.0 + (var_sodium_calcium_exchanger__d_NaCa * ((var_intracellular_calcium_concentration__Ca_i * pow(var_extracellular_sodium_concentration__Na_o, var_sodium_calcium_exchanger__n_NaCa)) + (var_extracellular_calcium_concentration__Ca_o * pow(var_intracellular_sodium_concentration__Na_i, var_sodium_calcium_exchanger__n_NaCa)))), 2.0)) / (1.0 + (144.9275362 * var_intracellular_calcium_concentration__Ca_i))) * var_sodium_calcium_exchanger__d_NaCa) * var_extracellular_calcium_concentration__Ca_o) * pow(var_intracellular_sodium_concentration__Na_i, var_sodium_calcium_exchanger__n_NaCa)) * var_sodium_calcium_exchanger__n_NaCa) / var_intracellular_sodium_concentration__Na_i)) - (((((((((2.0 * var_sodium_calcium_exchanger__FRiNaCa) * var_sodium_calcium_exchanger__k_NaCa) * exp(((((var_sodium_calcium_exchanger__gamma * (var_sodium_calcium_exchanger__n_NaCa - 2.0)) * var_membrane__V) * var_membrane__F) / var_membrane__R) / var_membrane__T)) * pow(var_intracellular_sodium_concentration__Na_i, var_sodium_calcium_exchanger__n_NaCa)) * var_sodium_calcium_exchanger__n_NaCa) / var_intracellular_sodium_concentration__Na_i) * var_extracellular_calcium_concentration__Ca_o) / (1.0 + (var_sodium_calcium_exchanger__d_NaCa * ((var_intracellular_calcium_concentration__Ca_ds * pow(var_extracellular_sodium_concentration__Na_o, var_sodium_calcium_exchanger__n_NaCa)) + (var_extracellular_calcium_concentration__Ca_o * pow(var_intracellular_sodium_concentration__Na_i, var_sodium_calcium_exchanger__n_NaCa)))))) / (1.0 + (144.9275362 * var_intracellular_calcium_concentration__Ca_ds)))) + ((((((((((2.0 * var_sodium_calcium_exchanger__FRiNaCa) * var_sodium_calcium_exchanger__k_NaCa) * (((exp(((((var_sodium_calcium_exchanger__gamma * (var_sodium_calcium_exchanger__n_NaCa - 2.0)) * var_membrane__V) * var_membrane__F) / var_membrane__R) / var_membrane__T) * pow(var_intracellular_sodium_concentration__Na_i, var_sodium_calcium_exchanger__n_NaCa)) * var_extracellular_calcium_concentration__Ca_o) - ((exp((((((var_sodium_calcium_exchanger__gamma - 1.0) * (var_sodium_calcium_exchanger__n_NaCa - 2.0)) * var_membrane__V) * var_membrane__F) / var_membrane__R) / var_membrane__T) * pow(var_extracellular_sodium_concentration__Na_o, var_sodium_calcium_exchanger__n_NaCa)) * var_intracellular_calcium_concentration__Ca_ds))) / pow(1.0 + (var_sodium_calcium_exchanger__d_NaCa * ((var_intracellular_calcium_concentration__Ca_ds * pow(var_extracellular_sodium_concentration__Na_o, var_sodium_calcium_exchanger__n_NaCa)) + (var_extracellular_calcium_concentration__Ca_o * pow(var_intracellular_sodium_concentration__Na_i, var_sodium_calcium_exchanger__n_NaCa)))), 2.0)) / (1.0 + (144.9275362 * var_intracellular_calcium_concentration__Ca_ds))) * var_sodium_calcium_exchanger__d_NaCa) * var_extracellular_calcium_concentration__Ca_o) * pow(var_intracellular_sodium_concentration__Na_i, var_sodium_calcium_exchanger__n_NaCa)) * var_sodium_calcium_exchanger__n_NaCa) / var_intracellular_sodium_concentration__Na_i));
00741 rJacobian[8][0] = 0.0;
00742 rJacobian[8][1] = 0.0;
00743 rJacobian[8][2] = (0.001*mDt * ((((2.0 * var_calcium_release__ActFrac) / pow(var_calcium_release__ActFrac + 0.25, 2.0)) * var_calcium_release__K_m_rel) - (((2.0 * pow(var_calcium_release__ActFrac, 2.0)) / pow(var_calcium_release__ActFrac + 0.25, 3.0)) * var_calcium_release__K_m_rel))) * var_intracellular_calcium_concentration__Ca_rel;
00744 rJacobian[8][3] = 0.0;
00745 rJacobian[8][4] = 0.0;
00746 rJacobian[8][5] = 0.0;
00747 rJacobian[8][6] = 0.0;
00748 rJacobian[8][7] = 0.0;
00749 rJacobian[8][8] = 1.0 - (0.001*mDt * (((((-50.0) * var_intracellular_calcium_concentration__V_up_ratio) / var_intracellular_calcium_concentration__V_rel_ratio) - ((pow(var_calcium_release__ActFrac, 2.0) / pow(var_calcium_release__ActFrac + 0.25, 2.0)) * var_calcium_release__K_m_rel)) - var_calcium_release__K_leak_rate));
00750 rJacobian[8][9] = (((-50.0) * 0.001*mDt) * var_intracellular_calcium_concentration__V_up_ratio) / var_intracellular_calcium_concentration__V_rel_ratio;
00751 rJacobian[8][10] = 0.0;
00752 rJacobian[8][11] = 0.0;
00753 rJacobian[9][0] = 0.0;
00754 rJacobian[9][1] = 0.0;
00755 rJacobian[9][2] = 0.0;
00756 rJacobian[9][3] = 0.0;
00757 rJacobian[9][4] = 0.0;
00758 rJacobian[9][5] = 0.0;
00759 rJacobian[9][6] = 0.0;
00760 rJacobian[9][7] = (((-0.001*mDt) * (((1.0 - var_intracellular_calcium_concentration__V_e_ratio) - var_intracellular_calcium_concentration__V_up_ratio) - var_intracellular_calcium_concentration__V_rel_ratio)) / var_intracellular_calcium_concentration__V_up_ratio) * ((((1.0 / (((var_intracellular_calcium_concentration__Ca_i + (((var_intracellular_calcium_concentration__Ca_up * var_sarcoplasmic_reticulum_calcium_pump__K_cyca) * var_sarcoplasmic_reticulum_calcium_pump__K_xcs) / var_sarcoplasmic_reticulum_calcium_pump__K_srca)) + (var_sarcoplasmic_reticulum_calcium_pump__K_cyca * var_sarcoplasmic_reticulum_calcium_pump__K_xcs)) + var_sarcoplasmic_reticulum_calcium_pump__K_cyca)) * var_sarcoplasmic_reticulum_calcium_pump__alpha_up) - ((var_intracellular_calcium_concentration__Ca_i / pow(((var_intracellular_calcium_concentration__Ca_i + (((var_intracellular_calcium_concentration__Ca_up * var_sarcoplasmic_reticulum_calcium_pump__K_cyca) * var_sarcoplasmic_reticulum_calcium_pump__K_xcs) / var_sarcoplasmic_reticulum_calcium_pump__K_srca)) + (var_sarcoplasmic_reticulum_calcium_pump__K_cyca * var_sarcoplasmic_reticulum_calcium_pump__K_xcs)) + var_sarcoplasmic_reticulum_calcium_pump__K_cyca, 2.0)) * var_sarcoplasmic_reticulum_calcium_pump__alpha_up)) + (((((var_intracellular_calcium_concentration__Ca_up * var_sarcoplasmic_reticulum_calcium_pump__K_cyca) * var_sarcoplasmic_reticulum_calcium_pump__K_xcs) / var_sarcoplasmic_reticulum_calcium_pump__K_srca) / pow(((var_intracellular_calcium_concentration__Ca_i + (((var_intracellular_calcium_concentration__Ca_up * var_sarcoplasmic_reticulum_calcium_pump__K_cyca) * var_sarcoplasmic_reticulum_calcium_pump__K_xcs) / var_sarcoplasmic_reticulum_calcium_pump__K_srca)) + (var_sarcoplasmic_reticulum_calcium_pump__K_cyca * var_sarcoplasmic_reticulum_calcium_pump__K_xcs)) + var_sarcoplasmic_reticulum_calcium_pump__K_cyca, 2.0)) * var_sarcoplasmic_reticulum_calcium_pump__beta_up));
00761 rJacobian[9][8] = (-50.0) * 0.001*mDt;
00762 rJacobian[9][9] = 1.0 - (0.001*mDt * ((((((1.0 - var_intracellular_calcium_concentration__V_e_ratio) - var_intracellular_calcium_concentration__V_up_ratio) - var_intracellular_calcium_concentration__V_rel_ratio) / var_intracellular_calcium_concentration__V_up_ratio) * ((((((((-var_intracellular_calcium_concentration__Ca_i) / pow(((var_intracellular_calcium_concentration__Ca_i + (((var_intracellular_calcium_concentration__Ca_up * var_sarcoplasmic_reticulum_calcium_pump__K_cyca) * var_sarcoplasmic_reticulum_calcium_pump__K_xcs) / var_sarcoplasmic_reticulum_calcium_pump__K_srca)) + (var_sarcoplasmic_reticulum_calcium_pump__K_cyca * var_sarcoplasmic_reticulum_calcium_pump__K_xcs)) + var_sarcoplasmic_reticulum_calcium_pump__K_cyca, 2.0)) * var_sarcoplasmic_reticulum_calcium_pump__alpha_up) * var_sarcoplasmic_reticulum_calcium_pump__K_cyca) * var_sarcoplasmic_reticulum_calcium_pump__K_xcs) / var_sarcoplasmic_reticulum_calcium_pump__K_srca) - ((((var_sarcoplasmic_reticulum_calcium_pump__K_cyca * var_sarcoplasmic_reticulum_calcium_pump__K_xcs) / var_sarcoplasmic_reticulum_calcium_pump__K_srca) / (((var_intracellular_calcium_concentration__Ca_i + (((var_intracellular_calcium_concentration__Ca_up * var_sarcoplasmic_reticulum_calcium_pump__K_cyca) * var_sarcoplasmic_reticulum_calcium_pump__K_xcs) / var_sarcoplasmic_reticulum_calcium_pump__K_srca)) + (var_sarcoplasmic_reticulum_calcium_pump__K_cyca * var_sarcoplasmic_reticulum_calcium_pump__K_xcs)) + var_sarcoplasmic_reticulum_calcium_pump__K_cyca)) * var_sarcoplasmic_reticulum_calcium_pump__beta_up)) + (((((var_intracellular_calcium_concentration__Ca_up * pow(var_sarcoplasmic_reticulum_calcium_pump__K_cyca, 2.0)) * pow(var_sarcoplasmic_reticulum_calcium_pump__K_xcs, 2.0)) / pow(var_sarcoplasmic_reticulum_calcium_pump__K_srca, 2.0)) / pow(((var_intracellular_calcium_concentration__Ca_i + (((var_intracellular_calcium_concentration__Ca_up * var_sarcoplasmic_reticulum_calcium_pump__K_cyca) * var_sarcoplasmic_reticulum_calcium_pump__K_xcs) / var_sarcoplasmic_reticulum_calcium_pump__K_srca)) + (var_sarcoplasmic_reticulum_calcium_pump__K_cyca * var_sarcoplasmic_reticulum_calcium_pump__K_xcs)) + var_sarcoplasmic_reticulum_calcium_pump__K_cyca, 2.0)) * var_sarcoplasmic_reticulum_calcium_pump__beta_up))) - 50.0));
00763 rJacobian[9][10] = 0.0;
00764 rJacobian[9][11] = 0.0;
00765 rJacobian[10][0] = (((((((((((((0.3183098861 * 0.001*mDt) / pow(var_intracellular_calcium_concentration__radius, 2.0)) / var_intracellular_calcium_concentration__length) / (((1.0 - var_intracellular_calcium_concentration__V_e_ratio) - var_intracellular_calcium_concentration__V_up_ratio) - var_intracellular_calcium_concentration__V_rel_ratio)) * (1.0 - var_L_type_Ca_channel__FrICa)) * var_L_type_Ca_channel__P_CaK) * var_L_type_Ca_channel__P_Ca_L) * var_L_type_Ca_channel_d_gate__d) * var_L_type_Ca_channel_f_gate__f) * (var_membrane__V - 50.0)) / var_membrane__R) / var_membrane__T) / (1.0 - exp(((((-var_membrane__V) + 50.0) * var_membrane__F) / var_membrane__R) / var_membrane__T))) * ((var_intracellular_potassium_concentration__K_i * exp(((50.0 * var_membrane__F) / var_membrane__R) / var_membrane__T)) - (var_extracellular_potassium_concentration__K_o * exp(((((-var_membrane__V) + 50.0) * var_membrane__F) / var_membrane__R) / var_membrane__T)));
00766 rJacobian[10][1] = (((((((((((((0.3183098861 * 0.001*mDt) / pow(var_intracellular_calcium_concentration__radius, 2.0)) / var_intracellular_calcium_concentration__length) / (((1.0 - var_intracellular_calcium_concentration__V_e_ratio) - var_intracellular_calcium_concentration__V_up_ratio) - var_intracellular_calcium_concentration__V_rel_ratio)) * var_L_type_Ca_channel__FrICa) * var_L_type_Ca_channel__P_CaK) * var_L_type_Ca_channel__P_Ca_L) * var_L_type_Ca_channel_d_gate__d) * var_L_type_Ca_channel_f_gate__f) * (var_membrane__V - 50.0)) / var_membrane__R) / var_membrane__T) / (1.0 - exp(((((-var_membrane__V) + 50.0) * var_membrane__F) / var_membrane__R) / var_membrane__T))) * ((var_intracellular_potassium_concentration__K_i * exp(((50.0 * var_membrane__F) / var_membrane__R) / var_membrane__T)) - (var_extracellular_potassium_concentration__K_o * exp(((((-var_membrane__V) + 50.0) * var_membrane__F) / var_membrane__R) / var_membrane__T)));
00767 rJacobian[10][2] = 0.0;
00768 rJacobian[10][3] = 0.0;
00769 rJacobian[10][4] = 0.0;
00770 rJacobian[10][5] = 0.0;
00771 rJacobian[10][6] = 0.0;
00772 rJacobian[10][7] = 0.0;
00773 rJacobian[10][8] = 0.0;
00774 rJacobian[10][9] = 0.0;
00775 rJacobian[10][10] = 1.0 + ((((((0.3183098861 * 0.001*mDt) / pow(var_intracellular_calcium_concentration__radius, 2.0)) / var_intracellular_calcium_concentration__length) / (((1.0 - var_intracellular_calcium_concentration__V_e_ratio) - var_intracellular_calcium_concentration__V_up_ratio) - var_intracellular_calcium_concentration__V_rel_ratio)) / var_membrane__F) * (((((((((((((var_time_independent_potassium_current__g_K1 * var_extracellular_potassium_concentration__K_o) / (var_extracellular_potassium_concentration__K_o + var_time_independent_potassium_current__K_mk1)) * var_membrane__R) * var_membrane__T) / var_membrane__F) / var_intracellular_potassium_concentration__K_i) / (1.0 + exp((((1.25 * ((var_membrane__V - (((var_membrane__R * var_membrane__T) / var_membrane__F) * log(var_extracellular_potassium_concentration__K_o / var_intracellular_potassium_concentration__K_i))) - 10.0)) * var_membrane__F) / var_membrane__R) / var_membrane__T))) - (((((((1.25 * var_time_independent_potassium_current__g_K1) * var_extracellular_potassium_concentration__K_o) / (var_extracellular_potassium_concentration__K_o + var_time_independent_potassium_current__K_mk1)) * (var_membrane__V - (((var_membrane__R * var_membrane__T) / var_membrane__F) * log(var_extracellular_potassium_concentration__K_o / var_intracellular_potassium_concentration__K_i)))) / pow(1.0 + exp((((1.25 * ((var_membrane__V - (((var_membrane__R * var_membrane__T) / var_membrane__F) * log(var_extracellular_potassium_concentration__K_o / var_intracellular_potassium_concentration__K_i))) - 10.0)) * var_membrane__F) / var_membrane__R) / var_membrane__T), 2.0)) / var_intracellular_potassium_concentration__K_i) * exp((((1.25 * ((var_membrane__V - (((var_membrane__R * var_membrane__T) / var_membrane__F) * log(var_extracellular_potassium_concentration__K_o / var_intracellular_potassium_concentration__K_i))) - 10.0)) * var_membrane__F) / var_membrane__R) / var_membrane__T))) + (((((((var_rapid_delayed_rectifier_potassium_current__g_Kr1 * var_rapid_delayed_rectifier_potassium_current_xr1_gate__xr1) + (var_rapid_delayed_rectifier_potassium_current__g_Kr2 * var_rapid_delayed_rectifier_potassium_current_xr2_gate__xr2)) / (1.0 + exp((0.04464285714 * var_membrane__V) + 0.4017857143))) * var_membrane__R) * var_membrane__T) / var_membrane__F) / var_intracellular_potassium_concentration__K_i)) + (((((var_slow_delayed_rectifier_potassium_current__g_Ks * pow(var_slow_delayed_rectifier_potassium_current_xs_gate__xs, 2.0)) * var_membrane__R) * var_membrane__T) / var_membrane__F) / (var_intracellular_potassium_concentration__K_i + (var_reversal_potentials__P_kna * var_intracellular_sodium_concentration__Na_i)))) + ((((((((((((1.0 - var_L_type_Ca_channel__FrICa) * var_L_type_Ca_channel__P_CaK) * var_L_type_Ca_channel__P_Ca_L) * var_L_type_Ca_channel_d_gate__d) * var_L_type_Ca_channel_f_gate__f) * var_L_type_Ca_channel_f2_gate__f2) * (var_membrane__V - 50.0)) * var_membrane__F) / var_membrane__R) / var_membrane__T) / (1.0 - exp(((((-var_membrane__V) + 50.0) * var_membrane__F) / var_membrane__R) / var_membrane__T))) * exp(((50.0 * var_membrane__F) / var_membrane__R) / var_membrane__T))) + (((((((((((var_L_type_Ca_channel__FrICa * var_L_type_Ca_channel__P_CaK) * var_L_type_Ca_channel__P_Ca_L) * var_L_type_Ca_channel_d_gate__d) * var_L_type_Ca_channel_f_gate__f) * var_L_type_Ca_channel_f2ds_gate__f2ds) * (var_membrane__V - 50.0)) * var_membrane__F) / var_membrane__R) / var_membrane__T) / (1.0 - exp(((((-var_membrane__V) + 50.0) * var_membrane__F) / var_membrane__R) / var_membrane__T))) * exp(((50.0 * var_membrane__F) / var_membrane__R) / var_membrane__T))) + ((((((var_transient_outward_current__g_to * (var_transient_outward_current__g_tos + (var_transient_outward_current_s_gate__s * (1.0 - var_transient_outward_current__g_tos)))) * var_transient_outward_current_r_gate__r) * var_membrane__R) * var_membrane__T) / var_membrane__F) / var_intracellular_potassium_concentration__K_i)));
00776 rJacobian[10][11] = (((((0.3183098861 * 0.001*mDt) / pow(var_intracellular_calcium_concentration__radius, 2.0)) / var_intracellular_calcium_concentration__length) / (((1.0 - var_intracellular_calcium_concentration__V_e_ratio) - var_intracellular_calcium_concentration__V_up_ratio) - var_intracellular_calcium_concentration__V_rel_ratio)) / var_membrane__F) * ((((((((var_slow_delayed_rectifier_potassium_current__g_Ks * pow(var_slow_delayed_rectifier_potassium_current_xs_gate__xs, 2.0)) * var_membrane__R) * var_membrane__T) / var_membrane__F) / (var_intracellular_potassium_concentration__K_i + (var_reversal_potentials__P_kna * var_intracellular_sodium_concentration__Na_i))) * var_reversal_potentials__P_kna) - ((((2.0 * var_sodium_potassium_pump__i_NaK_max) * var_extracellular_potassium_concentration__K_o) / (var_sodium_potassium_pump__K_mK + var_extracellular_potassium_concentration__K_o)) / (var_sodium_potassium_pump__K_mNa + var_intracellular_sodium_concentration__Na_i))) + (((((2.0 * var_sodium_potassium_pump__i_NaK_max) * var_extracellular_potassium_concentration__K_o) / (var_sodium_potassium_pump__K_mK + var_extracellular_potassium_concentration__K_o)) * var_intracellular_sodium_concentration__Na_i) / pow(var_sodium_potassium_pump__K_mNa + var_intracellular_sodium_concentration__Na_i, 2.0)));
00777 rJacobian[11][0] = (((((((((((((0.3183098861 * 0.001*mDt) / pow(var_intracellular_calcium_concentration__radius, 2.0)) / var_intracellular_calcium_concentration__length) / (((1.0 - var_intracellular_calcium_concentration__V_e_ratio) - var_intracellular_calcium_concentration__V_up_ratio) - var_intracellular_calcium_concentration__V_rel_ratio)) * (1.0 - var_L_type_Ca_channel__FrICa)) * var_L_type_Ca_channel__P_CaNa) * var_L_type_Ca_channel__P_Ca_L) * var_L_type_Ca_channel_d_gate__d) * var_L_type_Ca_channel_f_gate__f) * (var_membrane__V - 50.0)) / var_membrane__R) / var_membrane__T) / (1.0 - exp(((((-var_membrane__V) + 50.0) * var_membrane__F) / var_membrane__R) / var_membrane__T))) * ((var_intracellular_sodium_concentration__Na_i * exp(((50.0 * var_membrane__F) / var_membrane__R) / var_membrane__T)) - (var_extracellular_sodium_concentration__Na_o * exp(((((-var_membrane__V) + 50.0) * var_membrane__F) / var_membrane__R) / var_membrane__T)));
00778 rJacobian[11][1] = (((((((((((((0.3183098861 * 0.001*mDt) / pow(var_intracellular_calcium_concentration__radius, 2.0)) / var_intracellular_calcium_concentration__length) / (((1.0 - var_intracellular_calcium_concentration__V_e_ratio) - var_intracellular_calcium_concentration__V_up_ratio) - var_intracellular_calcium_concentration__V_rel_ratio)) * var_L_type_Ca_channel__FrICa) * var_L_type_Ca_channel__P_CaNa) * var_L_type_Ca_channel__P_Ca_L) * var_L_type_Ca_channel_d_gate__d) * var_L_type_Ca_channel_f_gate__f) * (var_membrane__V - 50.0)) / var_membrane__R) / var_membrane__T) / (1.0 - exp(((((-var_membrane__V) + 50.0) * var_membrane__F) / var_membrane__R) / var_membrane__T))) * ((var_intracellular_sodium_concentration__Na_i * exp(((50.0 * var_membrane__F) / var_membrane__R) / var_membrane__T)) - (var_extracellular_sodium_concentration__Na_o * exp(((((-var_membrane__V) + 50.0) * var_membrane__F) / var_membrane__R) / var_membrane__T)));
00779 rJacobian[11][2] = 0.0;
00780 rJacobian[11][3] = 0.0;
00781 rJacobian[11][4] = 0.0;
00782 rJacobian[11][5] = 0.0;
00783 rJacobian[11][6] = 0.0;
00784 rJacobian[11][7] = (((((0.3183098861 * 0.001*mDt) / pow(var_intracellular_calcium_concentration__radius, 2.0)) / var_intracellular_calcium_concentration__length) / (((1.0 - var_intracellular_calcium_concentration__V_e_ratio) - var_intracellular_calcium_concentration__V_up_ratio) - var_intracellular_calcium_concentration__V_rel_ratio)) / var_membrane__F) * (((((((((-3.0) * (1.0 - var_sodium_calcium_exchanger__FRiNaCa)) * var_sodium_calcium_exchanger__k_NaCa) * exp((((((var_sodium_calcium_exchanger__gamma - 1.0) * (var_sodium_calcium_exchanger__n_NaCa - 2.0)) * var_membrane__V) * var_membrane__F) / var_membrane__R) / var_membrane__T)) * pow(var_extracellular_sodium_concentration__Na_o, var_sodium_calcium_exchanger__n_NaCa)) / (1.0 + (var_sodium_calcium_exchanger__d_NaCa * ((var_intracellular_calcium_concentration__Ca_i * pow(var_extracellular_sodium_concentration__Na_o, var_sodium_calcium_exchanger__n_NaCa)) + (var_extracellular_calcium_concentration__Ca_o * pow(var_intracellular_sodium_concentration__Na_i, var_sodium_calcium_exchanger__n_NaCa)))))) / (1.0 + (144.9275362 * var_intracellular_calcium_concentration__Ca_i))) - (((((((3.0 * (1.0 - var_sodium_calcium_exchanger__FRiNaCa)) * var_sodium_calcium_exchanger__k_NaCa) * (((exp(((((var_sodium_calcium_exchanger__gamma * (var_sodium_calcium_exchanger__n_NaCa - 2.0)) * var_membrane__V) * var_membrane__F) / var_membrane__R) / var_membrane__T) * pow(var_intracellular_sodium_concentration__Na_i, var_sodium_calcium_exchanger__n_NaCa)) * var_extracellular_calcium_concentration__Ca_o) - ((exp((((((var_sodium_calcium_exchanger__gamma - 1.0) * (var_sodium_calcium_exchanger__n_NaCa - 2.0)) * var_membrane__V) * var_membrane__F) / var_membrane__R) / var_membrane__T) * pow(var_extracellular_sodium_concentration__Na_o, var_sodium_calcium_exchanger__n_NaCa)) * var_intracellular_calcium_concentration__Ca_i))) / pow(1.0 + (var_sodium_calcium_exchanger__d_NaCa * ((var_intracellular_calcium_concentration__Ca_i * pow(var_extracellular_sodium_concentration__Na_o, var_sodium_calcium_exchanger__n_NaCa)) + (var_extracellular_calcium_concentration__Ca_o * pow(var_intracellular_sodium_concentration__Na_i, var_sodium_calcium_exchanger__n_NaCa)))), 2.0)) / (1.0 + (144.9275362 * var_intracellular_calcium_concentration__Ca_i))) * var_sodium_calcium_exchanger__d_NaCa) * pow(var_extracellular_sodium_concentration__Na_o, var_sodium_calcium_exchanger__n_NaCa))) - (((((434.7826086 * (1.0 - var_sodium_calcium_exchanger__FRiNaCa)) * var_sodium_calcium_exchanger__k_NaCa) * (((exp(((((var_sodium_calcium_exchanger__gamma * (var_sodium_calcium_exchanger__n_NaCa - 2.0)) * var_membrane__V) * var_membrane__F) / var_membrane__R) / var_membrane__T) * pow(var_intracellular_sodium_concentration__Na_i, var_sodium_calcium_exchanger__n_NaCa)) * var_extracellular_calcium_concentration__Ca_o) - ((exp((((((var_sodium_calcium_exchanger__gamma - 1.0) * (var_sodium_calcium_exchanger__n_NaCa - 2.0)) * var_membrane__V) * var_membrane__F) / var_membrane__R) / var_membrane__T) * pow(var_extracellular_sodium_concentration__Na_o, var_sodium_calcium_exchanger__n_NaCa)) * var_intracellular_calcium_concentration__Ca_i))) / (1.0 + (var_sodium_calcium_exchanger__d_NaCa * ((var_intracellular_calcium_concentration__Ca_i * pow(var_extracellular_sodium_concentration__Na_o, var_sodium_calcium_exchanger__n_NaCa)) + (var_extracellular_calcium_concentration__Ca_o * pow(var_intracellular_sodium_concentration__Na_i, var_sodium_calcium_exchanger__n_NaCa)))))) / pow(1.0 + (144.9275362 * var_intracellular_calcium_concentration__Ca_i), 2.0)));
00785 rJacobian[11][8] = 0.0;
00786 rJacobian[11][9] = 0.0;
00787 rJacobian[11][10] = ((((((((((0.03819718633 * 0.001*mDt) / pow(var_intracellular_calcium_concentration__radius, 2.0)) / var_intracellular_calcium_concentration__length) / (((1.0 - var_intracellular_calcium_concentration__V_e_ratio) - var_intracellular_calcium_concentration__V_up_ratio) - var_intracellular_calcium_concentration__V_rel_ratio)) / pow(var_membrane__F, 2.0)) * var_fast_sodium_current__g_Na) * pow(var_fast_sodium_current_m_gate__m, 3.0)) * var_fast_sodium_current_h_gate__h) * var_membrane__R) * var_membrane__T) / (var_intracellular_sodium_concentration__Na_i + (0.12 * var_intracellular_potassium_concentration__K_i));
00788 rJacobian[11][11] = 1.0 + ((((((0.3183098861 * 0.001*mDt) / pow(var_intracellular_calcium_concentration__radius, 2.0)) / var_intracellular_calcium_concentration__length) / (((1.0 - var_intracellular_calcium_concentration__V_e_ratio) - var_intracellular_calcium_concentration__V_up_ratio) - var_intracellular_calcium_concentration__V_rel_ratio)) / var_membrane__F) * ((((((((((((((var_fast_sodium_current__g_Na * pow(var_fast_sodium_current_m_gate__m, 3.0)) * var_fast_sodium_current_h_gate__h) * var_membrane__R) * var_membrane__T) / var_membrane__F) / (var_intracellular_sodium_concentration__Na_i + (0.12 * var_intracellular_potassium_concentration__K_i))) + (((((var_persistent_sodium_current__g_pna / (1.0 + exp((((-1.0) / 8.0) * var_membrane__V) - (13.0 / 2.0)))) * var_membrane__R) * var_membrane__T) / var_membrane__F) / var_intracellular_sodium_concentration__Na_i)) + ((((var_sodium_background_current__g_bna * var_membrane__R) * var_membrane__T) / var_membrane__F) / var_intracellular_sodium_concentration__Na_i)) + ((((3.0 * var_sodium_potassium_pump__i_NaK_max) * var_extracellular_potassium_concentration__K_o) / (var_sodium_potassium_pump__K_mK + var_extracellular_potassium_concentration__K_o)) / (var_sodium_potassium_pump__K_mNa + var_intracellular_sodium_concentration__Na_i))) - (((((3.0 * var_sodium_potassium_pump__i_NaK_max) * var_extracellular_potassium_concentration__K_o) / (var_sodium_potassium_pump__K_mK + var_extracellular_potassium_concentration__K_o)) * var_intracellular_sodium_concentration__Na_i) / pow(var_sodium_potassium_pump__K_mNa + var_intracellular_sodium_concentration__Na_i, 2.0))) + (((((((((3.0 * (1.0 - var_sodium_calcium_exchanger__FRiNaCa)) * var_sodium_calcium_exchanger__k_NaCa) * exp(((((var_sodium_calcium_exchanger__gamma * (var_sodium_calcium_exchanger__n_NaCa - 2.0)) * var_membrane__V) * var_membrane__F) / var_membrane__R) / var_membrane__T)) * pow(var_intracellular_sodium_concentration__Na_i, var_sodium_calcium_exchanger__n_NaCa)) * var_sodium_calcium_exchanger__n_NaCa) / var_intracellular_sodium_concentration__Na_i) * var_extracellular_calcium_concentration__Ca_o) / (1.0 + (var_sodium_calcium_exchanger__d_NaCa * ((var_intracellular_calcium_concentration__Ca_i * pow(var_extracellular_sodium_concentration__Na_o, var_sodium_calcium_exchanger__n_NaCa)) + (var_extracellular_calcium_concentration__Ca_o * pow(var_intracellular_sodium_concentration__Na_i, var_sodium_calcium_exchanger__n_NaCa)))))) / (1.0 + (144.9275362 * var_intracellular_calcium_concentration__Ca_i)))) - ((((((((((3.0 * (1.0 - var_sodium_calcium_exchanger__FRiNaCa)) * var_sodium_calcium_exchanger__k_NaCa) * (((exp(((((var_sodium_calcium_exchanger__gamma * (var_sodium_calcium_exchanger__n_NaCa - 2.0)) * var_membrane__V) * var_membrane__F) / var_membrane__R) / var_membrane__T) * pow(var_intracellular_sodium_concentration__Na_i, var_sodium_calcium_exchanger__n_NaCa)) * var_extracellular_calcium_concentration__Ca_o) - ((exp((((((var_sodium_calcium_exchanger__gamma - 1.0) * (var_sodium_calcium_exchanger__n_NaCa - 2.0)) * var_membrane__V) * var_membrane__F) / var_membrane__R) / var_membrane__T) * pow(var_extracellular_sodium_concentration__Na_o, var_sodium_calcium_exchanger__n_NaCa)) * var_intracellular_calcium_concentration__Ca_i))) / pow(1.0 + (var_sodium_calcium_exchanger__d_NaCa * ((var_intracellular_calcium_concentration__Ca_i * pow(var_extracellular_sodium_concentration__Na_o, var_sodium_calcium_exchanger__n_NaCa)) + (var_extracellular_calcium_concentration__Ca_o * pow(var_intracellular_sodium_concentration__Na_i, var_sodium_calcium_exchanger__n_NaCa)))), 2.0)) / (1.0 + (144.9275362 * var_intracellular_calcium_concentration__Ca_i))) * var_sodium_calcium_exchanger__d_NaCa) * var_extracellular_calcium_concentration__Ca_o) * pow(var_intracellular_sodium_concentration__Na_i, var_sodium_calcium_exchanger__n_NaCa)) * var_sodium_calcium_exchanger__n_NaCa) / var_intracellular_sodium_concentration__Na_i)) + ((((((((((((1.0 - var_L_type_Ca_channel__FrICa) * var_L_type_Ca_channel__P_CaNa) * var_L_type_Ca_channel__P_Ca_L) * var_L_type_Ca_channel_d_gate__d) * var_L_type_Ca_channel_f_gate__f) * var_L_type_Ca_channel_f2_gate__f2) * (var_membrane__V - 50.0)) * var_membrane__F) / var_membrane__R) / var_membrane__T) / (1.0 - exp(((((-var_membrane__V) + 50.0) * var_membrane__F) / var_membrane__R) / var_membrane__T))) * exp(((50.0 * var_membrane__F) / var_membrane__R) / var_membrane__T))) + (((((((((((var_L_type_Ca_channel__FrICa * var_L_type_Ca_channel__P_CaNa) * var_L_type_Ca_channel__P_Ca_L) * var_L_type_Ca_channel_d_gate__d) * var_L_type_Ca_channel_f_gate__f) * var_L_type_Ca_channel_f2ds_gate__f2ds) * (var_membrane__V - 50.0)) * var_membrane__F) / var_membrane__R) / var_membrane__T) / (1.0 - exp(((((-var_membrane__V) + 50.0) * var_membrane__F) / var_membrane__R) / var_membrane__T))) * exp(((50.0 * var_membrane__F) / var_membrane__R) / var_membrane__T))));
00789 }
00790
00791 protected:
00792 void UpdateTransmembranePotential(double var_environment__time)
00793 {
00794
00795 var_environment__time *= 0.001;
00796 std::vector<double>& rY = rGetStateVariables();
00797 double var_membrane__V = rY[0];
00798
00799 double var_rapid_delayed_rectifier_potassium_current_xr1_gate__xr1 = rY[1];
00800
00801 double var_rapid_delayed_rectifier_potassium_current_xr2_gate__xr2 = rY[2];
00802
00803 double var_slow_delayed_rectifier_potassium_current_xs_gate__xs = rY[3];
00804
00805 double var_fast_sodium_current_m_gate__m = rY[4];
00806
00807 double var_fast_sodium_current_h_gate__h = rY[5];
00808
00809 double var_L_type_Ca_channel_d_gate__d = rY[6];
00810
00811 double var_L_type_Ca_channel_f_gate__f = rY[7];
00812
00813 double var_L_type_Ca_channel_f2_gate__f2 = rY[8];
00814
00815 double var_L_type_Ca_channel_f2ds_gate__f2ds = rY[9];
00816
00817 double var_transient_outward_current_s_gate__s = rY[10];
00818
00819 double var_transient_outward_current_r_gate__r = rY[11];
00820
00821 double var_intracellular_sodium_concentration__Na_i = rY[14];
00822
00823 double var_intracellular_potassium_concentration__K_i = rY[15];
00824
00825 double var_intracellular_calcium_concentration__Ca_i = rY[16];
00826
00827 double var_intracellular_calcium_concentration__Ca_ds = rY[17];
00828
00829
00830 const double var_membrane__R = 8314.472;
00831 const double var_membrane__T = 310.0;
00832 const double var_membrane__F = 96485.3415;
00833 const double var_membrane__Cm = 9.5e-05;
00834
00835 double var_reversal_potentials__K_i = var_intracellular_potassium_concentration__K_i;
00836 double var_reversal_potentials__R = var_membrane__R;
00837 double var_reversal_potentials__T = var_membrane__T;
00838 double var_reversal_potentials__F = var_membrane__F;
00839 const double var_extracellular_potassium_concentration__K_o = 4.0;
00840 double var_reversal_potentials__K_o = var_extracellular_potassium_concentration__K_o;
00841 double var_reversal_potentials__E_K = ((var_reversal_potentials__R * var_reversal_potentials__T) / var_reversal_potentials__F) * log(var_reversal_potentials__K_o / var_reversal_potentials__K_i);
00842 double var_time_independent_potassium_current__E_K = var_reversal_potentials__E_K;
00843 double var_time_independent_potassium_current__K_o = var_extracellular_potassium_concentration__K_o;
00844 double var_time_independent_potassium_current__R = var_membrane__R;
00845 double var_time_independent_potassium_current__V = var_membrane__V;
00846 double var_time_independent_potassium_current__T = var_membrane__T;
00847 const double var_time_independent_potassium_current__K_mk1 = 10.0;
00848 const double var_time_independent_potassium_current__g_K1 = 0.5;
00849 double var_time_independent_potassium_current__F = var_membrane__F;
00850 double var_time_independent_potassium_current__i_K1 = (((var_time_independent_potassium_current__g_K1 * var_time_independent_potassium_current__K_o) / (var_time_independent_potassium_current__K_o + var_time_independent_potassium_current__K_mk1)) * (var_time_independent_potassium_current__V - var_time_independent_potassium_current__E_K)) / (1.0 + exp((((var_time_independent_potassium_current__V - var_time_independent_potassium_current__E_K) - 10.0) * var_time_independent_potassium_current__F * 1.25) / (var_time_independent_potassium_current__R * var_time_independent_potassium_current__T)));
00851 double var_membrane__i_K1 = var_time_independent_potassium_current__i_K1;
00852 double var_transient_outward_current__s = var_transient_outward_current_s_gate__s;
00853 double var_transient_outward_current__r = var_transient_outward_current_r_gate__r;
00854 const double var_transient_outward_current__g_to = 0.005;
00855 double var_transient_outward_current__V = var_membrane__V;
00856 double var_transient_outward_current__E_K = var_reversal_potentials__E_K;
00857 const double var_transient_outward_current__g_tos = 0.0;
00858 double var_transient_outward_current__i_to = var_transient_outward_current__g_to * (var_transient_outward_current__g_tos + (var_transient_outward_current__s * (1.0 - var_transient_outward_current__g_tos))) * var_transient_outward_current__r * (var_transient_outward_current__V - var_transient_outward_current__E_K);
00859 double var_membrane__i_to = var_transient_outward_current__i_to;
00860 const double var_rapid_delayed_rectifier_potassium_current__g_Kr2 = 0.0013;
00861 const double var_rapid_delayed_rectifier_potassium_current__g_Kr1 = 0.0021;
00862 double var_rapid_delayed_rectifier_potassium_current__xr1 = var_rapid_delayed_rectifier_potassium_current_xr1_gate__xr1;
00863 double var_rapid_delayed_rectifier_potassium_current__xr2 = var_rapid_delayed_rectifier_potassium_current_xr2_gate__xr2;
00864 double var_rapid_delayed_rectifier_potassium_current__V = var_membrane__V;
00865 double var_rapid_delayed_rectifier_potassium_current__E_K = var_reversal_potentials__E_K;
00866 double var_rapid_delayed_rectifier_potassium_current__i_Kr = ((((var_rapid_delayed_rectifier_potassium_current__g_Kr1 * var_rapid_delayed_rectifier_potassium_current__xr1) + (var_rapid_delayed_rectifier_potassium_current__g_Kr2 * var_rapid_delayed_rectifier_potassium_current__xr2)) * 1.0) / (1.0 + exp((var_rapid_delayed_rectifier_potassium_current__V + 9.0) / 22.4))) * (var_rapid_delayed_rectifier_potassium_current__V - var_rapid_delayed_rectifier_potassium_current__E_K);
00867 double var_membrane__i_Kr = var_rapid_delayed_rectifier_potassium_current__i_Kr;
00868 double var_slow_delayed_rectifier_potassium_current__xs = var_slow_delayed_rectifier_potassium_current_xs_gate__xs;
00869 const double var_extracellular_sodium_concentration__Na_o = 140.0;
00870 double var_reversal_potentials__Na_o = var_extracellular_sodium_concentration__Na_o;
00871 double var_reversal_potentials__Na_i = var_intracellular_sodium_concentration__Na_i;
00872 const double var_reversal_potentials__P_kna = 0.03;
00873 double var_reversal_potentials__E_Ks = ((var_reversal_potentials__R * var_reversal_potentials__T) / var_reversal_potentials__F) * log((var_reversal_potentials__K_o + (var_reversal_potentials__P_kna * var_reversal_potentials__Na_o)) / (var_reversal_potentials__K_i + (var_reversal_potentials__P_kna * var_reversal_potentials__Na_i)));
00874 double var_slow_delayed_rectifier_potassium_current__E_Ks = var_reversal_potentials__E_Ks;
00875 const double var_slow_delayed_rectifier_potassium_current__g_Ks = 0.0026;
00876 double var_slow_delayed_rectifier_potassium_current__V = var_membrane__V;
00877 double var_slow_delayed_rectifier_potassium_current__i_Ks = var_slow_delayed_rectifier_potassium_current__g_Ks * pow(var_slow_delayed_rectifier_potassium_current__xs, 2.0) * (var_slow_delayed_rectifier_potassium_current__V - var_slow_delayed_rectifier_potassium_current__E_Ks);
00878 double var_membrane__i_Ks = var_slow_delayed_rectifier_potassium_current__i_Ks;
00879 double var_L_type_Ca_channel__d = var_L_type_Ca_channel_d_gate__d;
00880 const double var_L_type_Ca_channel__FrICa = 1.0;
00881 double var_L_type_Ca_channel__f = var_L_type_Ca_channel_f_gate__f;
00882 double var_L_type_Ca_channel__K_o = var_extracellular_potassium_concentration__K_o;
00883 double var_L_type_Ca_channel__K_i = var_intracellular_potassium_concentration__K_i;
00884 double var_L_type_Ca_channel__F = var_membrane__F;
00885 const double var_L_type_Ca_channel__P_Ca_L = 0.1;
00886 double var_L_type_Ca_channel__T = var_membrane__T;
00887 const double var_L_type_Ca_channel__P_CaK = 0.002;
00888 double var_L_type_Ca_channel__V = var_membrane__V;
00889 double var_L_type_Ca_channel__f2 = var_L_type_Ca_channel_f2_gate__f2;
00890 double var_L_type_Ca_channel__R = var_membrane__R;
00891 double var_L_type_Ca_channel__i_Ca_L_K_cyt = ((((1.0 - var_L_type_Ca_channel__FrICa) * var_L_type_Ca_channel__P_CaK * var_L_type_Ca_channel__P_Ca_L * var_L_type_Ca_channel__d * var_L_type_Ca_channel__f * var_L_type_Ca_channel__f2 * (var_L_type_Ca_channel__V - 50.0) * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T)) / (1.0 - exp(((-(var_L_type_Ca_channel__V - 50.0)) * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T)))) * ((var_L_type_Ca_channel__K_i * exp((50.0 * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T))) - (var_L_type_Ca_channel__K_o * exp(((-(var_L_type_Ca_channel__V - 50.0)) * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T))));
00892 double var_membrane__i_Ca_L_K_cyt = var_L_type_Ca_channel__i_Ca_L_K_cyt;
00893 double var_L_type_Ca_channel__f2ds = var_L_type_Ca_channel_f2ds_gate__f2ds;
00894 double var_L_type_Ca_channel__i_Ca_L_K_ds = (((var_L_type_Ca_channel__FrICa * var_L_type_Ca_channel__P_CaK * var_L_type_Ca_channel__P_Ca_L * var_L_type_Ca_channel__d * var_L_type_Ca_channel__f * var_L_type_Ca_channel__f2ds * (var_L_type_Ca_channel__V - 50.0) * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T)) / (1.0 - exp(((-(var_L_type_Ca_channel__V - 50.0)) * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T)))) * ((var_L_type_Ca_channel__K_i * exp((50.0 * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T))) - (var_L_type_Ca_channel__K_o * exp(((-(var_L_type_Ca_channel__V - 50.0)) * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T))));
00895 double var_membrane__i_Ca_L_K_ds = var_L_type_Ca_channel__i_Ca_L_K_ds;
00896 const double var_sodium_potassium_pump__i_NaK_max = 0.7;
00897 double var_sodium_potassium_pump__Na_i = var_intracellular_sodium_concentration__Na_i;
00898 double var_sodium_potassium_pump__K_o = var_extracellular_potassium_concentration__K_o;
00899 const double var_sodium_potassium_pump__K_mNa = 40.0;
00900 const double var_sodium_potassium_pump__K_mK = 1.0;
00901 double var_sodium_potassium_pump__i_NaK = (((var_sodium_potassium_pump__i_NaK_max * var_sodium_potassium_pump__K_o) / (var_sodium_potassium_pump__K_mK + var_sodium_potassium_pump__K_o)) * var_sodium_potassium_pump__Na_i) / (var_sodium_potassium_pump__K_mNa + var_sodium_potassium_pump__Na_i);
00902 double var_membrane__i_NaK = var_sodium_potassium_pump__i_NaK;
00903 const double var_fast_sodium_current__g_Na = 2.5;
00904 double var_fast_sodium_current__h = var_fast_sodium_current_h_gate__h;
00905 double var_fast_sodium_current__V = var_membrane__V;
00906 double var_reversal_potentials__E_mh = ((var_reversal_potentials__R * var_reversal_potentials__T) / var_reversal_potentials__F) * log((var_reversal_potentials__Na_o + (0.12 * var_reversal_potentials__K_o)) / (var_reversal_potentials__Na_i + (0.12 * var_reversal_potentials__K_i)));
00907 double var_fast_sodium_current__E_mh = var_reversal_potentials__E_mh;
00908 double var_fast_sodium_current__m = var_fast_sodium_current_m_gate__m;
00909 double var_fast_sodium_current__i_Na = var_fast_sodium_current__g_Na * pow(var_fast_sodium_current__m, 3.0) * var_fast_sodium_current__h * (var_fast_sodium_current__V - var_fast_sodium_current__E_mh);
00910 double var_membrane__i_Na = var_fast_sodium_current__i_Na;
00911 double var_sodium_background_current__V = var_membrane__V;
00912 double var_reversal_potentials__E_Na = ((var_reversal_potentials__R * var_reversal_potentials__T) / var_reversal_potentials__F) * log(var_reversal_potentials__Na_o / var_reversal_potentials__Na_i);
00913 double var_sodium_background_current__E_Na = var_reversal_potentials__E_Na;
00914 const double var_sodium_background_current__g_bna = 0.0006;
00915 double var_sodium_background_current__i_b_Na = var_sodium_background_current__g_bna * (var_sodium_background_current__V - var_sodium_background_current__E_Na);
00916 double var_membrane__i_b_Na = var_sodium_background_current__i_b_Na;
00917 const double var_persistent_sodium_current__g_pna = 0.004;
00918 double var_persistent_sodium_current__V = var_membrane__V;
00919 double var_persistent_sodium_current__E_Na = var_reversal_potentials__E_Na;
00920 double var_persistent_sodium_current__i_p_Na = ((var_persistent_sodium_current__g_pna * 1.0) / (1.0 + exp((-(var_persistent_sodium_current__V + 52.0)) / 8.0))) * (var_persistent_sodium_current__V - var_persistent_sodium_current__E_Na);
00921 double var_membrane__i_p_Na = var_persistent_sodium_current__i_p_Na;
00922 const double var_L_type_Ca_channel__P_CaNa = 0.01;
00923 double var_L_type_Ca_channel__Na_o = var_extracellular_sodium_concentration__Na_o;
00924 double var_L_type_Ca_channel__Na_i = var_intracellular_sodium_concentration__Na_i;
00925 double var_L_type_Ca_channel__i_Ca_L_Na_cyt = ((((1.0 - var_L_type_Ca_channel__FrICa) * var_L_type_Ca_channel__P_CaNa * var_L_type_Ca_channel__P_Ca_L * var_L_type_Ca_channel__d * var_L_type_Ca_channel__f * var_L_type_Ca_channel__f2 * (var_L_type_Ca_channel__V - 50.0) * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T)) / (1.0 - exp(((-(var_L_type_Ca_channel__V - 50.0)) * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T)))) * ((var_L_type_Ca_channel__Na_i * exp((50.0 * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T))) - (var_L_type_Ca_channel__Na_o * exp(((-(var_L_type_Ca_channel__V - 50.0)) * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T))));
00926 double var_membrane__i_Ca_L_Na_cyt = var_L_type_Ca_channel__i_Ca_L_Na_cyt;
00927 double var_L_type_Ca_channel__i_Ca_L_Na_ds = (((var_L_type_Ca_channel__FrICa * var_L_type_Ca_channel__P_CaNa * var_L_type_Ca_channel__P_Ca_L * var_L_type_Ca_channel__d * var_L_type_Ca_channel__f * var_L_type_Ca_channel__f2ds * (var_L_type_Ca_channel__V - 50.0) * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T)) / (1.0 - exp(((-(var_L_type_Ca_channel__V - 50.0)) * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T)))) * ((var_L_type_Ca_channel__Na_i * exp((50.0 * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T))) - (var_L_type_Ca_channel__Na_o * exp(((-(var_L_type_Ca_channel__V - 50.0)) * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T))));
00928 double var_membrane__i_Ca_L_Na_ds = var_L_type_Ca_channel__i_Ca_L_Na_ds;
00929 double var_sodium_calcium_exchanger__Na_i = var_intracellular_sodium_concentration__Na_i;
00930 const double var_sodium_calcium_exchanger__n_NaCa = 3.0;
00931 const double var_sodium_calcium_exchanger__gamma = 0.5;
00932 double var_sodium_calcium_exchanger__F = var_membrane__F;
00933 double var_sodium_calcium_exchanger__Na_o = var_extracellular_sodium_concentration__Na_o;
00934 const double var_sodium_calcium_exchanger__FRiNaCa = 0.001;
00935 double var_sodium_calcium_exchanger__R = var_membrane__R;
00936 double var_sodium_calcium_exchanger__Ca_i = var_intracellular_calcium_concentration__Ca_i;
00937 double var_sodium_calcium_exchanger__T = var_membrane__T;
00938 double var_sodium_calcium_exchanger__V = var_membrane__V;
00939 const double var_sodium_calcium_exchanger__d_NaCa = 0.0;
00940 const double var_extracellular_calcium_concentration__Ca_o = 2.0;
00941 double var_sodium_calcium_exchanger__Ca_o = var_extracellular_calcium_concentration__Ca_o;
00942 const double var_sodium_calcium_exchanger__k_NaCa = 0.0005;
00943 double var_sodium_calcium_exchanger__i_NaCa_cyt = ((1.0 - var_sodium_calcium_exchanger__FRiNaCa) * var_sodium_calcium_exchanger__k_NaCa * ((exp((var_sodium_calcium_exchanger__gamma * (var_sodium_calcium_exchanger__n_NaCa - 2.0) * var_sodium_calcium_exchanger__V * var_sodium_calcium_exchanger__F) / (var_sodium_calcium_exchanger__R * var_sodium_calcium_exchanger__T)) * pow(var_sodium_calcium_exchanger__Na_i, var_sodium_calcium_exchanger__n_NaCa) * var_sodium_calcium_exchanger__Ca_o) - (exp(((var_sodium_calcium_exchanger__gamma - 1.0) * (var_sodium_calcium_exchanger__n_NaCa - 2.0) * var_sodium_calcium_exchanger__V * var_sodium_calcium_exchanger__F) / (var_sodium_calcium_exchanger__R * var_sodium_calcium_exchanger__T)) * pow(var_sodium_calcium_exchanger__Na_o, var_sodium_calcium_exchanger__n_NaCa) * var_sodium_calcium_exchanger__Ca_i))) / ((1.0 + (var_sodium_calcium_exchanger__d_NaCa * ((var_sodium_calcium_exchanger__Ca_i * pow(var_sodium_calcium_exchanger__Na_o, var_sodium_calcium_exchanger__n_NaCa)) + (var_sodium_calcium_exchanger__Ca_o * pow(var_sodium_calcium_exchanger__Na_i, var_sodium_calcium_exchanger__n_NaCa))))) * (1.0 + (var_sodium_calcium_exchanger__Ca_i / 0.0069)));
00944 double var_membrane__i_NaCa_cyt = var_sodium_calcium_exchanger__i_NaCa_cyt;
00945 double var_sodium_calcium_exchanger__Ca_ds = var_intracellular_calcium_concentration__Ca_ds;
00946 double var_sodium_calcium_exchanger__i_NaCa_ds = (var_sodium_calcium_exchanger__FRiNaCa * var_sodium_calcium_exchanger__k_NaCa * ((exp((var_sodium_calcium_exchanger__gamma * (var_sodium_calcium_exchanger__n_NaCa - 2.0) * var_sodium_calcium_exchanger__V * var_sodium_calcium_exchanger__F) / (var_sodium_calcium_exchanger__R * var_sodium_calcium_exchanger__T)) * pow(var_sodium_calcium_exchanger__Na_i, var_sodium_calcium_exchanger__n_NaCa) * var_sodium_calcium_exchanger__Ca_o) - (exp(((var_sodium_calcium_exchanger__gamma - 1.0) * (var_sodium_calcium_exchanger__n_NaCa - 2.0) * var_sodium_calcium_exchanger__V * var_sodium_calcium_exchanger__F) / (var_sodium_calcium_exchanger__R * var_sodium_calcium_exchanger__T)) * pow(var_sodium_calcium_exchanger__Na_o, var_sodium_calcium_exchanger__n_NaCa) * var_sodium_calcium_exchanger__Ca_ds))) / ((1.0 + (var_sodium_calcium_exchanger__d_NaCa * ((var_sodium_calcium_exchanger__Ca_ds * pow(var_sodium_calcium_exchanger__Na_o, var_sodium_calcium_exchanger__n_NaCa)) + (var_sodium_calcium_exchanger__Ca_o * pow(var_sodium_calcium_exchanger__Na_i, var_sodium_calcium_exchanger__n_NaCa))))) * (1.0 + (var_sodium_calcium_exchanger__Ca_ds / 0.0069)));
00947 double var_membrane__i_NaCa_ds = var_sodium_calcium_exchanger__i_NaCa_ds;
00948 double var_L_type_Ca_channel__Ca_i = var_intracellular_calcium_concentration__Ca_i;
00949 double var_L_type_Ca_channel__Ca_o = var_extracellular_calcium_concentration__Ca_o;
00950 double var_L_type_Ca_channel__i_Ca_L_Ca_cyt = ((((1.0 - var_L_type_Ca_channel__FrICa) * 4.0 * var_L_type_Ca_channel__P_Ca_L * var_L_type_Ca_channel__d * var_L_type_Ca_channel__f * var_L_type_Ca_channel__f2 * (var_L_type_Ca_channel__V - 50.0) * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T)) / (1.0 - exp(((-(var_L_type_Ca_channel__V - 50.0)) * var_L_type_Ca_channel__F * 2.0) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T)))) * ((var_L_type_Ca_channel__Ca_i * exp((100.0 * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T))) - (var_L_type_Ca_channel__Ca_o * exp(((-(var_L_type_Ca_channel__V - 50.0)) * var_L_type_Ca_channel__F * 2.0) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T))));
00951 double var_membrane__i_Ca_L_Ca_cyt = var_L_type_Ca_channel__i_Ca_L_Ca_cyt;
00952 double var_L_type_Ca_channel__i_Ca_L_Ca_ds = (((var_L_type_Ca_channel__FrICa * 4.0 * var_L_type_Ca_channel__P_Ca_L * var_L_type_Ca_channel__d * var_L_type_Ca_channel__f * var_L_type_Ca_channel__f2ds * (var_L_type_Ca_channel__V - 50.0) * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T)) / (1.0 - exp(((-(var_L_type_Ca_channel__V - 50.0)) * var_L_type_Ca_channel__F * 2.0) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T)))) * ((var_L_type_Ca_channel__Ca_i * exp((100.0 * var_L_type_Ca_channel__F) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T))) - (var_L_type_Ca_channel__Ca_o * exp(((-(var_L_type_Ca_channel__V - 50.0)) * var_L_type_Ca_channel__F * 2.0) / (var_L_type_Ca_channel__R * var_L_type_Ca_channel__T))));
00953 double var_membrane__i_Ca_L_Ca_ds = var_L_type_Ca_channel__i_Ca_L_Ca_ds;
00954 double var_reversal_potentials__Ca_o = var_extracellular_calcium_concentration__Ca_o;
00955 double var_reversal_potentials__Ca_i = var_intracellular_calcium_concentration__Ca_i;
00956 double var_reversal_potentials__E_Ca = ((0.5 * var_reversal_potentials__R * var_reversal_potentials__T) / var_reversal_potentials__F) * log(var_reversal_potentials__Ca_o / var_reversal_potentials__Ca_i);
00957 double var_calcium_background_current__E_Ca = var_reversal_potentials__E_Ca;
00958 const double var_calcium_background_current__g_bca = 0.00025;
00959 double var_calcium_background_current__V = var_membrane__V;
00960 double var_calcium_background_current__i_b_Ca = var_calcium_background_current__g_bca * (var_calcium_background_current__V - var_calcium_background_current__E_Ca);
00961 double var_membrane__i_b_Ca = var_calcium_background_current__i_b_Ca;
00962
00963
00964
00965
00966
00967 double var_membrane__i_Stim = GetStimulus((1.0/0.001)*var_environment__time);
00968 double d_dt_membrane__V = ((-1.0) / var_membrane__Cm) * (var_membrane__i_Stim + var_membrane__i_K1 + var_membrane__i_to + var_membrane__i_Kr + var_membrane__i_Ks + var_membrane__i_NaK + var_membrane__i_Na + var_membrane__i_b_Na + var_membrane__i_p_Na + var_membrane__i_Ca_L_Na_cyt + var_membrane__i_Ca_L_Na_ds + var_membrane__i_NaCa_cyt + var_membrane__i_NaCa_ds + var_membrane__i_Ca_L_Ca_cyt + var_membrane__i_Ca_L_Ca_ds + var_membrane__i_Ca_L_K_cyt + var_membrane__i_Ca_L_K_ds + var_membrane__i_b_Ca);
00969
00970 rY[0] += mDt * 0.001*d_dt_membrane__V;
00971 }
00972
00973 void ComputeOneStepExceptVoltage(double var_environment__time)
00974 {
00975
00976 var_environment__time *= 0.001;
00977 std::vector<double>& rY = rGetStateVariables();
00978 double var_membrane__V = rY[0];
00979
00980
00981 double var_transient_outward_current__V = var_membrane__V;
00982 double var_rapid_delayed_rectifier_potassium_current__V = var_membrane__V;
00983 double var_slow_delayed_rectifier_potassium_current__V = var_membrane__V;
00984 double var_L_type_Ca_channel__V = var_membrane__V;
00985 double var_fast_sodium_current__V = var_membrane__V;
00986 double var_rapid_delayed_rectifier_potassium_current_xr1_gate__V = var_rapid_delayed_rectifier_potassium_current__V;
00987 double var_rapid_delayed_rectifier_potassium_current_xr1_gate__alpha_xr1 = 50.0 / (1.0 + exp((-(var_rapid_delayed_rectifier_potassium_current_xr1_gate__V - 5.0)) / 9.0));
00988 double var_rapid_delayed_rectifier_potassium_current_xr1_gate__beta_xr1 = 0.05 * exp((-(var_rapid_delayed_rectifier_potassium_current_xr1_gate__V - 20.0)) / 15.0);
00989 double var_rapid_delayed_rectifier_potassium_current_xr2_gate__V = var_rapid_delayed_rectifier_potassium_current__V;
00990 double var_rapid_delayed_rectifier_potassium_current_xr2_gate__alpha_xr2 = 50.0 / (1.0 + exp((-(var_rapid_delayed_rectifier_potassium_current_xr2_gate__V - 5.0)) / 9.0));
00991 double var_rapid_delayed_rectifier_potassium_current_xr2_gate__beta_xr2 = 0.4 * exp(-pow((var_rapid_delayed_rectifier_potassium_current_xr2_gate__V + 30.0) / 30.0, 3.0));
00992 double var_slow_delayed_rectifier_potassium_current_xs_gate__V = var_slow_delayed_rectifier_potassium_current__V;
00993 double var_slow_delayed_rectifier_potassium_current_xs_gate__alpha_xs = 14.0 / (1.0 + exp((-(var_slow_delayed_rectifier_potassium_current_xs_gate__V - 40.0)) / 9.0));
00994 double var_slow_delayed_rectifier_potassium_current_xs_gate__beta_xs = 1.0 * exp((-var_slow_delayed_rectifier_potassium_current_xs_gate__V) / 45.0);
00995 double var_fast_sodium_current_m_gate__V = var_fast_sodium_current__V;
00996 double var_fast_sodium_current_m_gate__E0_m = var_fast_sodium_current_m_gate__V + 41.0;
00997 const double var_fast_sodium_current_m_gate__delta_m = 1e-05;
00998 double var_fast_sodium_current_m_gate__alpha_m = (fabs(var_fast_sodium_current_m_gate__E0_m) < var_fast_sodium_current_m_gate__delta_m) ? 2000.0 : ((200.0 * var_fast_sodium_current_m_gate__E0_m) / (1.0 - exp((-0.1) * var_fast_sodium_current_m_gate__E0_m)));
00999 double var_fast_sodium_current_m_gate__beta_m = 8000.0 * exp((-0.056) * (var_fast_sodium_current_m_gate__V + 66.0));
01000 double var_fast_sodium_current_h_gate__V = var_fast_sodium_current__V;
01001 const double var_fast_sodium_current_h_gate__shift_h = 0.0;
01002 double var_fast_sodium_current_h_gate__alpha_h = 20.0 * exp((-0.125) * ((var_fast_sodium_current_h_gate__V + 75.0) - var_fast_sodium_current_h_gate__shift_h));
01003 double var_fast_sodium_current_h_gate__beta_h = 2000.0 / (1.0 + (320.0 * exp((-0.1) * ((var_fast_sodium_current_h_gate__V + 75.0) - var_fast_sodium_current_h_gate__shift_h))));
01004 double var_L_type_Ca_channel_d_gate__V = var_L_type_Ca_channel__V;
01005 double var_L_type_Ca_channel_d_gate__E0_d = (var_L_type_Ca_channel_d_gate__V + 24.0) - 5.0;
01006 double var_L_type_Ca_channel_d_gate__alpha_d = (fabs(var_L_type_Ca_channel_d_gate__E0_d) < 0.0001) ? 120.0 : ((30.0 * var_L_type_Ca_channel_d_gate__E0_d) / (1.0 - exp((-var_L_type_Ca_channel_d_gate__E0_d) / 4.0)));
01007 double var_L_type_Ca_channel_d_gate__beta_d = (fabs(var_L_type_Ca_channel_d_gate__E0_d) < 0.0001) ? 120.0 : ((12.0 * var_L_type_Ca_channel_d_gate__E0_d) / (exp(var_L_type_Ca_channel_d_gate__E0_d / 10.0) - 1.0));
01008 const double var_L_type_Ca_channel_d_gate__speed_d = 3.0;
01009 double var_L_type_Ca_channel_f_gate__V = var_L_type_Ca_channel__V;
01010 double var_L_type_Ca_channel_f_gate__E0_f = var_L_type_Ca_channel_f_gate__V + 34.0;
01011 const double var_L_type_Ca_channel_f_gate__delta_f = 0.0001;
01012 double var_L_type_Ca_channel_f_gate__alpha_f = (fabs(var_L_type_Ca_channel_f_gate__E0_f) < var_L_type_Ca_channel_f_gate__delta_f) ? 25.0 : ((6.25 * var_L_type_Ca_channel_f_gate__E0_f) / (exp(var_L_type_Ca_channel_f_gate__E0_f / 4.0) - 1.0));
01013 double var_L_type_Ca_channel_f_gate__beta_f = 12.0 / (1.0 + exp(((-1.0) * (var_L_type_Ca_channel_f_gate__V + 34.0)) / 4.0));
01014 const double var_L_type_Ca_channel_f_gate__speed_f = 0.3;
01015 double var_transient_outward_current_s_gate__V = var_transient_outward_current__V;
01016 double var_transient_outward_current_s_gate__alpha_s = 0.033 * exp((-var_transient_outward_current_s_gate__V) / 17.0);
01017 double var_transient_outward_current_s_gate__beta_s = 33.0 / (1.0 + exp((-0.125) * (var_transient_outward_current_s_gate__V + 10.0)));
01018
01019 const double _g_0 = var_L_type_Ca_channel_d_gate__speed_d * (var_L_type_Ca_channel_d_gate__alpha_d * 1.0);
01020 const double _h_0 = var_L_type_Ca_channel_d_gate__speed_d * ((var_L_type_Ca_channel_d_gate__alpha_d * (-1.0)) - (var_L_type_Ca_channel_d_gate__beta_d * 1.0));
01021 const double _g_1 = var_L_type_Ca_channel_f_gate__speed_f * (var_L_type_Ca_channel_f_gate__alpha_f * 1.0);
01022 const double _h_1 = var_L_type_Ca_channel_f_gate__speed_f * ((var_L_type_Ca_channel_f_gate__alpha_f * (-1.0)) - (var_L_type_Ca_channel_f_gate__beta_f * 1.0));
01023 const double _g_2 = var_fast_sodium_current_h_gate__alpha_h * 1.0;
01024 const double _h_2 = (var_fast_sodium_current_h_gate__alpha_h * (-1.0)) - (var_fast_sodium_current_h_gate__beta_h * 1.0);
01025 const double _g_3 = var_fast_sodium_current_m_gate__alpha_m * 1.0;
01026 const double _h_3 = (var_fast_sodium_current_m_gate__alpha_m * (-1.0)) - (var_fast_sodium_current_m_gate__beta_m * 1.0);
01027 const double _g_4 = var_rapid_delayed_rectifier_potassium_current_xr1_gate__alpha_xr1 * 1.0;
01028 const double _h_4 = (var_rapid_delayed_rectifier_potassium_current_xr1_gate__alpha_xr1 * (-1.0)) - (var_rapid_delayed_rectifier_potassium_current_xr1_gate__beta_xr1 * 1.0);
01029 const double _g_5 = var_rapid_delayed_rectifier_potassium_current_xr2_gate__alpha_xr2 * 1.0;
01030 const double _h_5 = (var_rapid_delayed_rectifier_potassium_current_xr2_gate__alpha_xr2 * (-1.0)) - (var_rapid_delayed_rectifier_potassium_current_xr2_gate__beta_xr2 * 1.0);
01031 const double _g_6 = var_slow_delayed_rectifier_potassium_current_xs_gate__alpha_xs * 1.0;
01032 const double _h_6 = (var_slow_delayed_rectifier_potassium_current_xs_gate__alpha_xs * (-1.0)) - (var_slow_delayed_rectifier_potassium_current_xs_gate__beta_xs * 1.0);
01033 const double _g_7 = 333.0 * (1.0 / (1.0 + exp((-(var_membrane__V + 4.0)) / 5.0)));
01034 const double _h_7 = 333.0 * (-1.0);
01035 const double _g_8 = var_transient_outward_current_s_gate__alpha_s * 1.0;
01036 const double _h_8 = (var_transient_outward_current_s_gate__alpha_s * (-1.0)) - (var_transient_outward_current_s_gate__beta_s * 1.0);
01037
01038 const double dt = mDt*0.001;
01039 rY[1] = (rY[1] + _g_4*dt) / (1 - _h_4*dt);
01040 rY[2] = (rY[2] + _g_5*dt) / (1 - _h_5*dt);
01041 rY[3] = (rY[3] + _g_6*dt) / (1 - _h_6*dt);
01042 rY[4] = (rY[4] + _g_3*dt) / (1 - _h_3*dt);
01043 rY[5] = (rY[5] + _g_2*dt) / (1 - _h_2*dt);
01044 rY[6] = (rY[6] + _g_0*dt) / (1 - _h_0*dt);
01045 rY[7] = (rY[7] + _g_1*dt) / (1 - _h_1*dt);
01046 rY[10] = (rY[10] + _g_8*dt) / (1 - _h_8*dt);
01047 rY[11] = (rY[11] + _g_7*dt) / (1 - _h_7*dt);
01048
01049 double _guess[12] = {rY[8],rY[9],rY[12],rY[13],rY[20],rY[21],rY[17],rY[16],rY[19],rY[18],rY[15],rY[14]};
01050 CardiacNewtonSolver<12> *_solver = CardiacNewtonSolver<12>::Instance();
01051 _solver->Solve(*this, _guess);
01052 rY[8] = _guess[0];
01053 rY[9] = _guess[1];
01054 rY[12] = _guess[2];
01055 rY[13] = _guess[3];
01056 rY[20] = _guess[4];
01057 rY[21] = _guess[5];
01058 rY[17] = _guess[6];
01059 rY[16] = _guess[7];
01060 rY[19] = _guess[8];
01061 rY[18] = _guess[9];
01062 rY[15] = _guess[10];
01063 rY[14] = _guess[11];
01064 }
01065
01066 };
01067
01068
01069 template<>
01070 void OdeSystemInformation<BackwardEulerNobleVargheseKohlNoble1998>::Initialise(void)
01071 {
01072
01073
01074
01075
01076
01077
01078 this->mVariableNames.push_back("V");
01079 this->mVariableUnits.push_back("millivolt");
01080 this->mInitialConditions.push_back(-92.849333);
01081
01082 this->mVariableNames.push_back("xr1");
01083 this->mVariableUnits.push_back("dimensionless");
01084 this->mInitialConditions.push_back(1.03e-5);
01085
01086 this->mVariableNames.push_back("xr2");
01087 this->mVariableUnits.push_back("dimensionless");
01088 this->mInitialConditions.push_back(2e-7);
01089
01090 this->mVariableNames.push_back("xs");
01091 this->mVariableUnits.push_back("dimensionless");
01092 this->mInitialConditions.push_back(0.001302);
01093
01094 this->mVariableNames.push_back("m");
01095 this->mVariableUnits.push_back("dimensionless");
01096 this->mInitialConditions.push_back(0.0016203);
01097
01098 this->mVariableNames.push_back("h");
01099 this->mVariableUnits.push_back("dimensionless");
01100 this->mInitialConditions.push_back(0.9944036);
01101
01102 this->mVariableNames.push_back("d");
01103 this->mVariableUnits.push_back("dimensionless");
01104 this->mInitialConditions.push_back(0);
01105
01106 this->mVariableNames.push_back("f");
01107 this->mVariableUnits.push_back("dimensionless");
01108 this->mInitialConditions.push_back(1);
01109
01110 this->mVariableNames.push_back("f2");
01111 this->mVariableUnits.push_back("dimensionless");
01112 this->mInitialConditions.push_back(0.9349197);
01113
01114 this->mVariableNames.push_back("f2ds");
01115 this->mVariableUnits.push_back("dimensionless");
01116 this->mInitialConditions.push_back(0.9651958);
01117
01118 this->mVariableNames.push_back("s");
01119 this->mVariableUnits.push_back("dimensionless");
01120 this->mInitialConditions.push_back(0.9948645);
01121
01122 this->mVariableNames.push_back("r");
01123 this->mVariableUnits.push_back("dimensionless");
01124 this->mInitialConditions.push_back(0);
01125
01126 this->mVariableNames.push_back("ActFrac");
01127 this->mVariableUnits.push_back("dimensionless");
01128 this->mInitialConditions.push_back(0.0042614);
01129
01130 this->mVariableNames.push_back("ProdFrac");
01131 this->mVariableUnits.push_back("dimensionless");
01132 this->mInitialConditions.push_back(0.4068154);
01133
01134 this->mVariableNames.push_back("Na_i");
01135 this->mVariableUnits.push_back("millimolar");
01136 this->mInitialConditions.push_back(7.3321223);
01137
01138 this->mVariableNames.push_back("K_i");
01139 this->mVariableUnits.push_back("millimolar");
01140 this->mInitialConditions.push_back(136.5644281);
01141
01142 this->mVariableNames.push_back("Ca_i");
01143 this->mVariableUnits.push_back("millimolar");
01144 this->mInitialConditions.push_back(1.4e-5);
01145
01146 this->mVariableNames.push_back("Ca_ds");
01147 this->mVariableUnits.push_back("millimolar");
01148 this->mInitialConditions.push_back(1.88e-5);
01149
01150 this->mVariableNames.push_back("Ca_up");
01151 this->mVariableUnits.push_back("millimolar");
01152 this->mInitialConditions.push_back(0.4531889);
01153
01154 this->mVariableNames.push_back("Ca_rel");
01155 this->mVariableUnits.push_back("millimolar");
01156 this->mInitialConditions.push_back(0.4481927);
01157
01158 this->mVariableNames.push_back("Ca_Calmod");
01159 this->mVariableUnits.push_back("millimolar");
01160 this->mInitialConditions.push_back(0.0005555);
01161
01162 this->mVariableNames.push_back("Ca_Trop");
01163 this->mVariableUnits.push_back("millimolar");
01164 this->mInitialConditions.push_back(0.0003542);
01165
01166 this->mInitialised = true;
01167 }
01168
01169
01170 #endif