Chaste  Release::2017.1
NobleVargheseKohlNoble1998WithSac.cpp
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35 
36 #include "NobleVargheseKohlNoble1998WithSac.hpp"
37 #include "HeartConfig.hpp"
38 
39 CML_noble_varghese_kohl_noble_1998_basic_with_sac::CML_noble_varghese_kohl_noble_1998_basic_with_sac(
40  boost::shared_ptr<AbstractIvpOdeSolver> pSolver,
41  boost::shared_ptr<AbstractStimulusFunction> pIntracellularStimulus)
42  : AbstractCardiacCell(pSolver, 22, 0, pIntracellularStimulus)
43 {
44  mStretch = 1.0;
45 
46  mpSystemInfo = OdeSystemInformation<CML_noble_varghese_kohl_noble_1998_basic_with_sac>::Instance();
47 
48  Init();
49 
50 }
51 
52 CML_noble_varghese_kohl_noble_1998_basic_with_sac::~CML_noble_varghese_kohl_noble_1998_basic_with_sac(void)
53 {
54 }
55 
56 double CML_noble_varghese_kohl_noble_1998_basic_with_sac::GetIIonic(const std::vector<double>* pStateVariables)
57 {
58  if (!pStateVariables) pStateVariables = &rGetStateVariables();
59  const std::vector<double>& rY = *pStateVariables;
60  double var_membrane__V = rY[0];
61  // Units: millivolt; Initial value: -92.849333
62  double var_rapid_delayed_rectifier_potassium_current_xr1_gate__xr1 = rY[1];
63  // Units: dimensionless; Initial value: 1.03e-5
64  double var_rapid_delayed_rectifier_potassium_current_xr2_gate__xr2 = rY[2];
65  // Units: dimensionless; Initial value: 2e-7
66  double var_slow_delayed_rectifier_potassium_current_xs_gate__xs = rY[3];
67  // Units: dimensionless; Initial value: 0.001302
68  double var_fast_sodium_current_m_gate__m = rY[4];
69  // Units: dimensionless; Initial value: 0.0016203
70  double var_fast_sodium_current_h_gate__h = rY[5];
71  // Units: dimensionless; Initial value: 0.9944036
72  double var_L_type_Ca_channel_d_gate__d = rY[6];
73  // Units: dimensionless; Initial value: 0
74  double var_L_type_Ca_channel_f_gate__f = rY[7];
75  // Units: dimensionless; Initial value: 1
76  double var_L_type_Ca_channel_f2_gate__f2 = rY[8];
77  // Units: dimensionless; Initial value: 0.9349197
78  double var_L_type_Ca_channel_f2ds_gate__f2ds = rY[9];
79  // Units: dimensionless; Initial value: 0.9651958
80  double var_transient_outward_current_s_gate__s = rY[10];
81  // Units: dimensionless; Initial value: 0.9948645
82  double var_transient_outward_current_r_gate__r = rY[11];
83  // Units: dimensionless; Initial value: 0
84  double var_intracellular_sodium_concentration__Na_i = rY[14];
85  // Units: millimolar; Initial value: 7.3321223
86  double var_intracellular_potassium_concentration__K_i = rY[15];
87  // Units: millimolar; Initial value: 136.5644281
88  double var_intracellular_calcium_concentration__Ca_i = rY[16];
89  // Units: millimolar; Initial value: 1.4e-5
90  double var_intracellular_calcium_concentration__Ca_ds = rY[17];
91  // Units: millimolar; Initial value: 1.88e-5
92 
93  const double var_membrane__R = 8314.472;
94  const double var_membrane__T = 310.0;
95  const double var_membrane__F = 96485.3415;
96  double var_reversal_potentials__K_i = var_intracellular_potassium_concentration__K_i;
97  double var_reversal_potentials__R = var_membrane__R;
98  double var_reversal_potentials__T = var_membrane__T;
99  double var_reversal_potentials__F = var_membrane__F;
100  const double var_extracellular_potassium_concentration__K_o = 4.0;
101  double var_reversal_potentials__K_o = var_extracellular_potassium_concentration__K_o;
102  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);
103  double var_time_independent_potassium_current__E_K = var_reversal_potentials__E_K;
104  double var_time_independent_potassium_current__K_o = var_extracellular_potassium_concentration__K_o;
105  double var_time_independent_potassium_current__R = var_membrane__R;
106  double var_time_independent_potassium_current__V = var_membrane__V;
107  double var_time_independent_potassium_current__T = var_membrane__T;
108  const double var_time_independent_potassium_current__K_mk1 = 10.0;
109  const double var_time_independent_potassium_current__g_K1 = 0.5;
110  double var_time_independent_potassium_current__F = var_membrane__F;
111  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)));
112  double var_membrane__i_K1 = var_time_independent_potassium_current__i_K1;
113  double var_transient_outward_current__s = var_transient_outward_current_s_gate__s;
114  double var_transient_outward_current__r = var_transient_outward_current_r_gate__r;
115  const double var_transient_outward_current__g_to = 0.005;
116  double var_transient_outward_current__V = var_membrane__V;
117  double var_transient_outward_current__E_K = var_reversal_potentials__E_K;
118  const double var_transient_outward_current__g_tos = 0.0;
119  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);
120  double var_membrane__i_to = var_transient_outward_current__i_to;
121  const double var_rapid_delayed_rectifier_potassium_current__g_Kr2 = 0.0013;
122  const double var_rapid_delayed_rectifier_potassium_current__g_Kr1 = 0.0021;
123  double var_rapid_delayed_rectifier_potassium_current__xr1 = var_rapid_delayed_rectifier_potassium_current_xr1_gate__xr1;
124  double var_rapid_delayed_rectifier_potassium_current__xr2 = var_rapid_delayed_rectifier_potassium_current_xr2_gate__xr2;
125  double var_rapid_delayed_rectifier_potassium_current__V = var_membrane__V;
126  double var_rapid_delayed_rectifier_potassium_current__E_K = var_reversal_potentials__E_K;
127  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);
128  double var_membrane__i_Kr = var_rapid_delayed_rectifier_potassium_current__i_Kr;
129  double var_slow_delayed_rectifier_potassium_current__xs = var_slow_delayed_rectifier_potassium_current_xs_gate__xs;
130  const double var_extracellular_sodium_concentration__Na_o = 140.0;
131  double var_reversal_potentials__Na_o = var_extracellular_sodium_concentration__Na_o;
132  double var_reversal_potentials__Na_i = var_intracellular_sodium_concentration__Na_i;
133  const double var_reversal_potentials__P_kna = 0.03;
134  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)));
135  double var_slow_delayed_rectifier_potassium_current__E_Ks = var_reversal_potentials__E_Ks;
136  const double var_slow_delayed_rectifier_potassium_current__g_Ks = 0.0026;
137  double var_slow_delayed_rectifier_potassium_current__V = var_membrane__V;
138  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);
139  double var_membrane__i_Ks = var_slow_delayed_rectifier_potassium_current__i_Ks;
140  double var_L_type_Ca_channel__d = var_L_type_Ca_channel_d_gate__d;
141  const double var_L_type_Ca_channel__FrICa = 1.0;
142  double var_L_type_Ca_channel__f = var_L_type_Ca_channel_f_gate__f;
143  double var_L_type_Ca_channel__K_o = var_extracellular_potassium_concentration__K_o;
144  double var_L_type_Ca_channel__K_i = var_intracellular_potassium_concentration__K_i;
145  double var_L_type_Ca_channel__F = var_membrane__F;
146  const double var_L_type_Ca_channel__P_Ca_L = 0.1;
147  double var_L_type_Ca_channel__T = var_membrane__T;
148  const double var_L_type_Ca_channel__P_CaK = 0.002;
149  double var_L_type_Ca_channel__V = var_membrane__V;
150  double var_L_type_Ca_channel__f2 = var_L_type_Ca_channel_f2_gate__f2;
151  double var_L_type_Ca_channel__R = var_membrane__R;
152  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))));
153  double var_membrane__i_Ca_L_K_cyt = var_L_type_Ca_channel__i_Ca_L_K_cyt;
154  double var_L_type_Ca_channel__f2ds = var_L_type_Ca_channel_f2ds_gate__f2ds;
155  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))));
156  double var_membrane__i_Ca_L_K_ds = var_L_type_Ca_channel__i_Ca_L_K_ds;
157  const double var_sodium_potassium_pump__i_NaK_max = 0.7;
158  double var_sodium_potassium_pump__Na_i = var_intracellular_sodium_concentration__Na_i;
159  double var_sodium_potassium_pump__K_o = var_extracellular_potassium_concentration__K_o;
160  const double var_sodium_potassium_pump__K_mNa = 40.0;
161  const double var_sodium_potassium_pump__K_mK = 1.0;
162  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);
163  double var_membrane__i_NaK = var_sodium_potassium_pump__i_NaK;
164  const double var_fast_sodium_current__g_Na = 2.5;
165  double var_fast_sodium_current__h = var_fast_sodium_current_h_gate__h;
166  double var_fast_sodium_current__V = var_membrane__V;
167  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)));
168  double var_fast_sodium_current__E_mh = var_reversal_potentials__E_mh;
169  double var_fast_sodium_current__m = var_fast_sodium_current_m_gate__m;
170  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);
171  double var_membrane__i_Na = var_fast_sodium_current__i_Na;
172  double var_sodium_background_current__V = var_membrane__V;
173  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);
174  double var_sodium_background_current__E_Na = var_reversal_potentials__E_Na;
175  const double var_sodium_background_current__g_bna = 0.0006;
176  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);
177  double var_membrane__i_b_Na = var_sodium_background_current__i_b_Na;
178  const double var_persistent_sodium_current__g_pna = 0.004;
179  double var_persistent_sodium_current__V = var_membrane__V;
180  double var_persistent_sodium_current__E_Na = var_reversal_potentials__E_Na;
181  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);
182  double var_membrane__i_p_Na = var_persistent_sodium_current__i_p_Na;
183  const double var_L_type_Ca_channel__P_CaNa = 0.01;
184  double var_L_type_Ca_channel__Na_o = var_extracellular_sodium_concentration__Na_o;
185  double var_L_type_Ca_channel__Na_i = var_intracellular_sodium_concentration__Na_i;
186  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))));
187  double var_membrane__i_Ca_L_Na_cyt = var_L_type_Ca_channel__i_Ca_L_Na_cyt;
188  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))));
189  double var_membrane__i_Ca_L_Na_ds = var_L_type_Ca_channel__i_Ca_L_Na_ds;
190  double var_sodium_calcium_exchanger__Na_i = var_intracellular_sodium_concentration__Na_i;
191  const double var_sodium_calcium_exchanger__n_NaCa = 3.0;
192  const double var_sodium_calcium_exchanger__gamma = 0.5;
193  double var_sodium_calcium_exchanger__F = var_membrane__F;
194  double var_sodium_calcium_exchanger__Na_o = var_extracellular_sodium_concentration__Na_o;
195  const double var_sodium_calcium_exchanger__FRiNaCa = 0.001;
196  double var_sodium_calcium_exchanger__R = var_membrane__R;
197  double var_sodium_calcium_exchanger__Ca_i = var_intracellular_calcium_concentration__Ca_i;
198  double var_sodium_calcium_exchanger__T = var_membrane__T;
199  double var_sodium_calcium_exchanger__V = var_membrane__V;
200  const double var_sodium_calcium_exchanger__d_NaCa = 0.0;
201  const double var_extracellular_calcium_concentration__Ca_o = 2.0;
202  double var_sodium_calcium_exchanger__Ca_o = var_extracellular_calcium_concentration__Ca_o;
203  const double var_sodium_calcium_exchanger__k_NaCa = 0.0005;
204  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)));
205  double var_membrane__i_NaCa_cyt = var_sodium_calcium_exchanger__i_NaCa_cyt;
206  double var_sodium_calcium_exchanger__Ca_ds = var_intracellular_calcium_concentration__Ca_ds;
207  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)));
208  double var_membrane__i_NaCa_ds = var_sodium_calcium_exchanger__i_NaCa_ds;
209  double var_L_type_Ca_channel__Ca_i = var_intracellular_calcium_concentration__Ca_i;
210  double var_L_type_Ca_channel__Ca_o = var_extracellular_calcium_concentration__Ca_o;
211  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))));
212  double var_membrane__i_Ca_L_Ca_cyt = var_L_type_Ca_channel__i_Ca_L_Ca_cyt;
213  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))));
214  double var_membrane__i_Ca_L_Ca_ds = var_L_type_Ca_channel__i_Ca_L_Ca_ds;
215  double var_reversal_potentials__Ca_o = var_extracellular_calcium_concentration__Ca_o;
216  double var_reversal_potentials__Ca_i = var_intracellular_calcium_concentration__Ca_i;
217  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);
218  double var_calcium_background_current__E_Ca = var_reversal_potentials__E_Ca;
219  const double var_calcium_background_current__g_bca = 0.00025;
220  double var_calcium_background_current__V = var_membrane__V;
221  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);
222  double var_membrane__i_b_Ca = var_calcium_background_current__i_b_Ca;
223 
225  // new part of the model - addition of a Stretch-activated channel
227  const double g_sac = 0.035; // uS
228  const double E_sac = -10; // mV
229  double f = (mStretch > 1.0) ? (mStretch-1.0)/0.15 : 0.0; // f = 0 if stretch < 1, scales linearly to f=1 at 15% stretch
230  double sac_ionic_current = g_sac * f * (var_membrane__V - E_sac); // if g is uS, this is nA
231 
232  /*
233  * The return value has to be scaled to match the units required by the mono/bidomain equations.
234  * The cell model ionic current is in nano Amps, we require micro Amps/cm^2.
235  * The estimate of the cell area is obtained by observing that Cm in the cell model and Cm in the bidomain equation are conceptually the same thing.
236  * The Cm in the bidomain equation is expressed in capacitance units per area.
237  * An estimate of the cell area is then the ratio of the two values of Cm.
238  *
239  */
240  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;
241 
242 // std::cout << value_in_nA << " " << sac_ionic_current << "\n";
243  value_in_nA += sac_ionic_current;
244 
245  double value_in_microA = 0.001*value_in_nA;
246  double estimated_cell_surface_in_cm_square = 9.5e-05 / HeartConfig::Instance()->GetCapacitance();
247  double value_in_microA_per_cm_square = value_in_microA/estimated_cell_surface_in_cm_square;
248  return value_in_microA_per_cm_square;
249 }
250 
251 void CML_noble_varghese_kohl_noble_1998_basic_with_sac::EvaluateYDerivatives (
252  double var_environment__time,
253  const std::vector<double> &rY,
254  std::vector<double> &rDY)
255 {
256  // Inputs:
257  // Time units: second
258  var_environment__time *= 0.001;
259  double var_membrane__V = rY[0];
260  // Units: millivolt; Initial value: -92.849333
261  double var_rapid_delayed_rectifier_potassium_current_xr1_gate__xr1 = rY[1];
262  // Units: dimensionless; Initial value: 1.03e-5
263  double var_rapid_delayed_rectifier_potassium_current_xr2_gate__xr2 = rY[2];
264  // Units: dimensionless; Initial value: 2e-7
265  double var_slow_delayed_rectifier_potassium_current_xs_gate__xs = rY[3];
266  // Units: dimensionless; Initial value: 0.001302
267  double var_fast_sodium_current_m_gate__m = rY[4];
268  // Units: dimensionless; Initial value: 0.0016203
269  double var_fast_sodium_current_h_gate__h = rY[5];
270  // Units: dimensionless; Initial value: 0.9944036
271  double var_L_type_Ca_channel_d_gate__d = rY[6];
272  // Units: dimensionless; Initial value: 0
273  double var_L_type_Ca_channel_f_gate__f = rY[7];
274  // Units: dimensionless; Initial value: 1
275  double var_L_type_Ca_channel_f2_gate__f2 = rY[8];
276  // Units: dimensionless; Initial value: 0.9349197
277  double var_L_type_Ca_channel_f2ds_gate__f2ds = rY[9];
278  // Units: dimensionless; Initial value: 0.9651958
279  double var_transient_outward_current_s_gate__s = rY[10];
280  // Units: dimensionless; Initial value: 0.9948645
281  double var_transient_outward_current_r_gate__r = rY[11];
282  // Units: dimensionless; Initial value: 0
283  double var_calcium_release__ActFrac = rY[12];
284  // Units: dimensionless; Initial value: 0.0042614
285  double var_calcium_release__ProdFrac = rY[13];
286  // Units: dimensionless; Initial value: 0.4068154
287  double var_intracellular_sodium_concentration__Na_i = rY[14];
288  // Units: millimolar; Initial value: 7.3321223
289  double var_intracellular_potassium_concentration__K_i = rY[15];
290  // Units: millimolar; Initial value: 136.5644281
291  double var_intracellular_calcium_concentration__Ca_i = rY[16];
292  // Units: millimolar; Initial value: 1.4e-5
293  double var_intracellular_calcium_concentration__Ca_ds = rY[17];
294  // Units: millimolar; Initial value: 1.88e-5
295  double var_intracellular_calcium_concentration__Ca_up = rY[18];
296  // Units: millimolar; Initial value: 0.4531889
297  double var_intracellular_calcium_concentration__Ca_rel = rY[19];
298  // Units: millimolar; Initial value: 0.4481927
299  double var_intracellular_calcium_concentration__Ca_Calmod = rY[20];
300  // Units: millimolar; Initial value: 0.0005555
301  double var_intracellular_calcium_concentration__Ca_Trop = rY[21];
302  // Units: millimolar; Initial value: 0.0003542
303 
304 
305  // Mathematics
306  const double var_membrane__R = 8314.472;
307  const double var_membrane__T = 310.0;
308  const double var_membrane__F = 96485.3415;
309  const double var_membrane__Cm = 9.5e-05;
310  double var_reversal_potentials__K_i = var_intracellular_potassium_concentration__K_i;
311  double var_reversal_potentials__R = var_membrane__R;
312  double var_reversal_potentials__T = var_membrane__T;
313  double var_reversal_potentials__F = var_membrane__F;
314  const double var_extracellular_potassium_concentration__K_o = 4.0;
315  double var_reversal_potentials__K_o = var_extracellular_potassium_concentration__K_o;
316  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);
317  double var_time_independent_potassium_current__E_K = var_reversal_potentials__E_K;
318  double var_time_independent_potassium_current__K_o = var_extracellular_potassium_concentration__K_o;
319  double var_time_independent_potassium_current__R = var_membrane__R;
320  double var_time_independent_potassium_current__V = var_membrane__V;
321  double var_time_independent_potassium_current__T = var_membrane__T;
322  const double var_time_independent_potassium_current__K_mk1 = 10.0;
323  const double var_time_independent_potassium_current__g_K1 = 0.5;
324  double var_time_independent_potassium_current__F = var_membrane__F;
325  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)));
326  double var_membrane__i_K1 = var_time_independent_potassium_current__i_K1;
327  double var_transient_outward_current__s = var_transient_outward_current_s_gate__s;
328  double var_transient_outward_current__r = var_transient_outward_current_r_gate__r;
329  const double var_transient_outward_current__g_to = 0.005;
330  double var_transient_outward_current__V = var_membrane__V;
331  double var_transient_outward_current__E_K = var_reversal_potentials__E_K;
332  const double var_transient_outward_current__g_tos = 0.0;
333  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);
334  double var_membrane__i_to = var_transient_outward_current__i_to;
335  const double var_rapid_delayed_rectifier_potassium_current__g_Kr2 = 0.0013;
336  const double var_rapid_delayed_rectifier_potassium_current__g_Kr1 = 0.0021;
337  double var_rapid_delayed_rectifier_potassium_current__xr1 = var_rapid_delayed_rectifier_potassium_current_xr1_gate__xr1;
338  double var_rapid_delayed_rectifier_potassium_current__xr2 = var_rapid_delayed_rectifier_potassium_current_xr2_gate__xr2;
339  double var_rapid_delayed_rectifier_potassium_current__V = var_membrane__V;
340  double var_rapid_delayed_rectifier_potassium_current__E_K = var_reversal_potentials__E_K;
341  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);
342  double var_membrane__i_Kr = var_rapid_delayed_rectifier_potassium_current__i_Kr;
343  double var_slow_delayed_rectifier_potassium_current__xs = var_slow_delayed_rectifier_potassium_current_xs_gate__xs;
344  const double var_extracellular_sodium_concentration__Na_o = 140.0;
345  double var_reversal_potentials__Na_o = var_extracellular_sodium_concentration__Na_o;
346  double var_reversal_potentials__Na_i = var_intracellular_sodium_concentration__Na_i;
347  const double var_reversal_potentials__P_kna = 0.03;
348  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)));
349  double var_slow_delayed_rectifier_potassium_current__E_Ks = var_reversal_potentials__E_Ks;
350  const double var_slow_delayed_rectifier_potassium_current__g_Ks = 0.0026;
351  double var_slow_delayed_rectifier_potassium_current__V = var_membrane__V;
352  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);
353  double var_membrane__i_Ks = var_slow_delayed_rectifier_potassium_current__i_Ks;
354  double var_L_type_Ca_channel__d = var_L_type_Ca_channel_d_gate__d;
355  const double var_L_type_Ca_channel__FrICa = 1.0;
356  double var_L_type_Ca_channel__f = var_L_type_Ca_channel_f_gate__f;
357  double var_L_type_Ca_channel__K_o = var_extracellular_potassium_concentration__K_o;
358  double var_L_type_Ca_channel__K_i = var_intracellular_potassium_concentration__K_i;
359  double var_L_type_Ca_channel__F = var_membrane__F;
360  const double var_L_type_Ca_channel__P_Ca_L = 0.1;
361  double var_L_type_Ca_channel__T = var_membrane__T;
362  const double var_L_type_Ca_channel__P_CaK = 0.002;
363  double var_L_type_Ca_channel__V = var_membrane__V;
364  double var_L_type_Ca_channel__f2 = var_L_type_Ca_channel_f2_gate__f2;
365  double var_L_type_Ca_channel__R = var_membrane__R;
366  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))));
367  double var_membrane__i_Ca_L_K_cyt = var_L_type_Ca_channel__i_Ca_L_K_cyt;
368  double var_L_type_Ca_channel__f2ds = var_L_type_Ca_channel_f2ds_gate__f2ds;
369  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))));
370  double var_membrane__i_Ca_L_K_ds = var_L_type_Ca_channel__i_Ca_L_K_ds;
371  const double var_sodium_potassium_pump__i_NaK_max = 0.7;
372  double var_sodium_potassium_pump__Na_i = var_intracellular_sodium_concentration__Na_i;
373  double var_sodium_potassium_pump__K_o = var_extracellular_potassium_concentration__K_o;
374  const double var_sodium_potassium_pump__K_mNa = 40.0;
375  const double var_sodium_potassium_pump__K_mK = 1.0;
376  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);
377  double var_membrane__i_NaK = var_sodium_potassium_pump__i_NaK;
378  const double var_fast_sodium_current__g_Na = 2.5;
379  double var_fast_sodium_current__h = var_fast_sodium_current_h_gate__h;
380  double var_fast_sodium_current__V = var_membrane__V;
381  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)));
382  double var_fast_sodium_current__E_mh = var_reversal_potentials__E_mh;
383  double var_fast_sodium_current__m = var_fast_sodium_current_m_gate__m;
384  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);
385  double var_membrane__i_Na = var_fast_sodium_current__i_Na;
386  double var_sodium_background_current__V = var_membrane__V;
387  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);
388  double var_sodium_background_current__E_Na = var_reversal_potentials__E_Na;
389  const double var_sodium_background_current__g_bna = 0.0006;
390  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);
391  double var_membrane__i_b_Na = var_sodium_background_current__i_b_Na;
392  const double var_persistent_sodium_current__g_pna = 0.004;
393  double var_persistent_sodium_current__V = var_membrane__V;
394  double var_persistent_sodium_current__E_Na = var_reversal_potentials__E_Na;
395  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);
396  double var_membrane__i_p_Na = var_persistent_sodium_current__i_p_Na;
397  const double var_L_type_Ca_channel__P_CaNa = 0.01;
398  double var_L_type_Ca_channel__Na_o = var_extracellular_sodium_concentration__Na_o;
399  double var_L_type_Ca_channel__Na_i = var_intracellular_sodium_concentration__Na_i;
400  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))));
401  double var_membrane__i_Ca_L_Na_cyt = var_L_type_Ca_channel__i_Ca_L_Na_cyt;
402  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))));
403  double var_membrane__i_Ca_L_Na_ds = var_L_type_Ca_channel__i_Ca_L_Na_ds;
404  double var_sodium_calcium_exchanger__Na_i = var_intracellular_sodium_concentration__Na_i;
405  const double var_sodium_calcium_exchanger__n_NaCa = 3.0;
406  const double var_sodium_calcium_exchanger__gamma = 0.5;
407  double var_sodium_calcium_exchanger__F = var_membrane__F;
408  double var_sodium_calcium_exchanger__Na_o = var_extracellular_sodium_concentration__Na_o;
409  const double var_sodium_calcium_exchanger__FRiNaCa = 0.001;
410  double var_sodium_calcium_exchanger__R = var_membrane__R;
411  double var_sodium_calcium_exchanger__Ca_i = var_intracellular_calcium_concentration__Ca_i;
412  double var_sodium_calcium_exchanger__T = var_membrane__T;
413  double var_sodium_calcium_exchanger__V = var_membrane__V;
414  const double var_sodium_calcium_exchanger__d_NaCa = 0.0;
415  const double var_extracellular_calcium_concentration__Ca_o = 2.0;
416  double var_sodium_calcium_exchanger__Ca_o = var_extracellular_calcium_concentration__Ca_o;
417  const double var_sodium_calcium_exchanger__k_NaCa = 0.0005;
418  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)));
419  double var_membrane__i_NaCa_cyt = var_sodium_calcium_exchanger__i_NaCa_cyt;
420  double var_sodium_calcium_exchanger__Ca_ds = var_intracellular_calcium_concentration__Ca_ds;
421  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)));
422  double var_membrane__i_NaCa_ds = var_sodium_calcium_exchanger__i_NaCa_ds;
423  double var_L_type_Ca_channel__Ca_i = var_intracellular_calcium_concentration__Ca_i;
424  double var_L_type_Ca_channel__Ca_o = var_extracellular_calcium_concentration__Ca_o;
425  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))));
426  double var_membrane__i_Ca_L_Ca_cyt = var_L_type_Ca_channel__i_Ca_L_Ca_cyt;
427  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))));
428  double var_membrane__i_Ca_L_Ca_ds = var_L_type_Ca_channel__i_Ca_L_Ca_ds;
429  double var_reversal_potentials__Ca_o = var_extracellular_calcium_concentration__Ca_o;
430  double var_reversal_potentials__Ca_i = var_intracellular_calcium_concentration__Ca_i;
431  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);
432  double var_calcium_background_current__E_Ca = var_reversal_potentials__E_Ca;
433  const double var_calcium_background_current__g_bca = 0.00025;
434  double var_calcium_background_current__V = var_membrane__V;
435  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);
436  double var_membrane__i_b_Ca = var_calcium_background_current__i_b_Ca;
437  double var_membrane__i_Stim = GetStimulus((1.0/0.001)*var_environment__time);
438  double var_rapid_delayed_rectifier_potassium_current_xr1_gate__V = var_rapid_delayed_rectifier_potassium_current__V;
439  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));
440  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);
441  double var_rapid_delayed_rectifier_potassium_current_xr2_gate__V = var_rapid_delayed_rectifier_potassium_current__V;
442  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));
443  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));
444  double var_slow_delayed_rectifier_potassium_current_xs_gate__V = var_slow_delayed_rectifier_potassium_current__V;
445  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));
446  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);
447  double var_fast_sodium_current_m_gate__V = var_fast_sodium_current__V;
448  double var_fast_sodium_current_m_gate__E0_m = var_fast_sodium_current_m_gate__V + 41.0;
449  const double var_fast_sodium_current_m_gate__delta_m = 1e-05;
450  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)));
451  double var_fast_sodium_current_m_gate__beta_m = 8000.0 * exp((-0.056) * (var_fast_sodium_current_m_gate__V + 66.0));
452  double var_fast_sodium_current_h_gate__V = var_fast_sodium_current__V;
453  const double var_fast_sodium_current_h_gate__shift_h = 0.0;
454  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));
455  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))));
456  double var_L_type_Ca_channel__Ca_ds = var_intracellular_calcium_concentration__Ca_ds;
457  const double var_L_type_Ca_channel__Km_f2 = 100000.0;
458  const double var_L_type_Ca_channel__Km_f2ds = 0.001;
459  const double var_L_type_Ca_channel__R_decay = 20.0;
460  double var_L_type_Ca_channel_d_gate__V = var_L_type_Ca_channel__V;
461  double var_L_type_Ca_channel_d_gate__E0_d = (var_L_type_Ca_channel_d_gate__V + 24.0) - 5.0;
462  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)));
463  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));
464  const double var_L_type_Ca_channel_d_gate__speed_d = 3.0;
465  double var_L_type_Ca_channel_f_gate__V = var_L_type_Ca_channel__V;
466  double var_L_type_Ca_channel_f_gate__E0_f = var_L_type_Ca_channel_f_gate__V + 34.0;
467  const double var_L_type_Ca_channel_f_gate__delta_f = 0.0001;
468  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));
469  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));
470  const double var_L_type_Ca_channel_f_gate__speed_f = 0.3;
471  double var_L_type_Ca_channel_f2_gate__Km_f2 = var_L_type_Ca_channel__Km_f2;
472  double var_L_type_Ca_channel_f2_gate__Ca_i = var_L_type_Ca_channel__Ca_i;
473  double var_L_type_Ca_channel_f2ds_gate__Km_f2ds = var_L_type_Ca_channel__Km_f2ds;
474  double var_L_type_Ca_channel_f2ds_gate__R_decay = var_L_type_Ca_channel__R_decay;
475  double var_L_type_Ca_channel_f2ds_gate__Ca_ds = var_L_type_Ca_channel__Ca_ds;
476  double var_transient_outward_current_s_gate__V = var_transient_outward_current__V;
477  double var_transient_outward_current_s_gate__alpha_s = 0.033 * exp((-var_transient_outward_current_s_gate__V) / 17.0);
478  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)));
479  double var_transient_outward_current_r_gate__V = var_transient_outward_current__V;
480  double var_sarcoplasmic_reticulum_calcium_pump__Ca_i = var_intracellular_calcium_concentration__Ca_i;
481  double var_sarcoplasmic_reticulum_calcium_pump__Ca_up = var_intracellular_calcium_concentration__Ca_up;
482  const double var_sarcoplasmic_reticulum_calcium_pump__alpha_up = 0.4;
483  const double var_sarcoplasmic_reticulum_calcium_pump__beta_up = 0.03;
484  const double var_sarcoplasmic_reticulum_calcium_pump__K_srca = 0.5;
485  const double var_sarcoplasmic_reticulum_calcium_pump__K_xcs = 0.4;
486  const double var_sarcoplasmic_reticulum_calcium_pump__K_cyca = 0.0003;
487  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;
488  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;
489  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);
490  double var_calcium_translocation__Ca_rel = var_intracellular_calcium_concentration__Ca_rel;
491  double var_calcium_translocation__Ca_up = var_intracellular_calcium_concentration__Ca_up;
492  double var_calcium_translocation__i_trans = 50.0 * (var_calcium_translocation__Ca_up - var_calcium_translocation__Ca_rel);
493  const double var_calcium_release__K_m_rel = 250.0;
494  const double var_calcium_release__K_leak_rate = 0.05;
495  double var_calcium_release__Ca_rel = var_intracellular_calcium_concentration__Ca_rel;
496  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;
497  double var_calcium_release__V = var_membrane__V;
498  double var_calcium_release__VoltDep = exp(0.08 * (var_calcium_release__V - 40.0));
499  const double var_calcium_release__K_m_Ca_cyt = 0.0005;
500  double var_calcium_release__Ca_i = var_intracellular_calcium_concentration__Ca_i;
501  double var_calcium_release__CaiReg = var_calcium_release__Ca_i / (var_calcium_release__Ca_i + var_calcium_release__K_m_Ca_cyt);
502  double var_calcium_release__Ca_ds = var_intracellular_calcium_concentration__Ca_ds;
503  const double var_calcium_release__K_m_Ca_ds = 0.01;
504  double var_calcium_release__CadsReg = var_calcium_release__Ca_ds / (var_calcium_release__Ca_ds + var_calcium_release__K_m_Ca_ds);
505  double var_calcium_release__RegBindSite = var_calcium_release__CaiReg + ((1.0 - var_calcium_release__CaiReg) * var_calcium_release__CadsReg);
506  double var_calcium_release__ActRate = (0.0 * var_calcium_release__VoltDep) + (500.0 * pow(var_calcium_release__RegBindSite, 2.0));
507  double var_calcium_release__InactRate = 60.0 + (500.0 * pow(var_calcium_release__RegBindSite, 2.0));
508  double var_calcium_release__PrecFrac = (1.0 - var_calcium_release__ActFrac) - var_calcium_release__ProdFrac;
509  double var_calcium_release__SpeedRel = (var_calcium_release__V < (-50.0)) ? 5.0 : 1.0;
510  const double var_intracellular_calcium_concentration__V_up_ratio = 0.01;
511  const double var_intracellular_calcium_concentration__V_rel_ratio = 0.1;
512  const double var_intracellular_calcium_concentration__V_e_ratio = 0.4;
513  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;
514  const double var_intracellular_calcium_concentration__radius = 0.012;
515  const double var_intracellular_calcium_concentration__length = 0.074;
516  double var_intracellular_calcium_concentration__V_Cell = 3.141592654 * pow(var_intracellular_calcium_concentration__radius, 2.0) * var_intracellular_calcium_concentration__length;
517  double var_intracellular_calcium_concentration__V_i = var_intracellular_calcium_concentration__V_Cell * var_intracellular_calcium_concentration__V_i_ratio;
518  double var_intracellular_sodium_concentration__V_i = var_intracellular_calcium_concentration__V_i;
519  double var_intracellular_sodium_concentration__F = var_membrane__F;
520  double var_intracellular_sodium_concentration__i_Na = var_fast_sodium_current__i_Na;
521  double var_intracellular_sodium_concentration__i_b_Na = var_sodium_background_current__i_b_Na;
522  double var_intracellular_sodium_concentration__i_p_Na = var_persistent_sodium_current__i_p_Na;
523  double var_intracellular_sodium_concentration__i_Ca_L_Na_cyt = var_L_type_Ca_channel__i_Ca_L_Na_cyt;
524  double var_intracellular_sodium_concentration__i_Ca_L_Na_ds = var_L_type_Ca_channel__i_Ca_L_Na_ds;
525  double var_intracellular_sodium_concentration__i_NaK = var_sodium_potassium_pump__i_NaK;
526  double var_intracellular_sodium_concentration__i_NaCa_cyt = var_sodium_calcium_exchanger__i_NaCa_cyt;
527  double var_intracellular_potassium_concentration__V_i = var_intracellular_calcium_concentration__V_i;
528  double var_intracellular_potassium_concentration__i_K1 = var_time_independent_potassium_current__i_K1;
529  double var_intracellular_potassium_concentration__i_Kr = var_rapid_delayed_rectifier_potassium_current__i_Kr;
530  double var_intracellular_potassium_concentration__i_Ks = var_slow_delayed_rectifier_potassium_current__i_Ks;
531  double var_intracellular_potassium_concentration__i_Ca_L_K_cyt = var_L_type_Ca_channel__i_Ca_L_K_cyt;
532  double var_intracellular_potassium_concentration__i_Ca_L_K_ds = var_L_type_Ca_channel__i_Ca_L_K_ds;
533  double var_intracellular_potassium_concentration__i_to = var_transient_outward_current__i_to;
534  double var_intracellular_potassium_concentration__i_NaK = var_sodium_potassium_pump__i_NaK;
535  double var_intracellular_potassium_concentration__F = var_membrane__F;
536  const double var_intracellular_calcium_concentration__Calmod = 0.02;
537  const double var_intracellular_calcium_concentration__Trop = 0.05;
538  const double var_intracellular_calcium_concentration__alpha_Calmod = 100000.0;
539  const double var_intracellular_calcium_concentration__beta_Calmod = 50.0;
540  const double var_intracellular_calcium_concentration__alpha_Trop = 100000.0;
541  const double var_intracellular_calcium_concentration__beta_Trop = 200.0;
542  const double var_intracellular_calcium_concentration__V_ds_ratio = 0.1;
543  const double var_intracellular_calcium_concentration__Kdecay = 10.0;
544  double var_intracellular_calcium_concentration__i_up = var_sarcoplasmic_reticulum_calcium_pump__i_up;
545  double var_intracellular_calcium_concentration__i_trans = var_calcium_translocation__i_trans;
546  double var_intracellular_calcium_concentration__i_rel = var_calcium_release__i_rel;
547  double var_intracellular_calcium_concentration__i_NaCa_cyt = var_sodium_calcium_exchanger__i_NaCa_cyt;
548  double var_intracellular_calcium_concentration__i_NaCa_ds = var_sodium_calcium_exchanger__i_NaCa_ds;
549  double var_intracellular_calcium_concentration__i_Ca_L_Ca_cyt = var_L_type_Ca_channel__i_Ca_L_Ca_cyt;
550  double var_intracellular_calcium_concentration__i_Ca_L_Ca_ds = var_L_type_Ca_channel__i_Ca_L_Ca_ds;
551  double var_intracellular_calcium_concentration__i_b_Ca = var_calcium_background_current__i_b_Ca;
552  double var_intracellular_calcium_concentration__F = var_membrane__F;
553 
555  // new part of the model
557  const double g_sac = 0.035; // uS
558  const double E_sac = -10; // mV
559  double f = (mStretch > 0) ? (mStretch-1.0)/0.15 : 0.0; // f = 0 if stretch < 1, scales linearly to f=1 at 15% stretch
560  double sac_ionic_current = g_sac * f * (var_membrane__V - E_sac); // if g is uS, this is nA
561 
562  double d_dt_membrane__V;
563  if (mSetVoltageDerivativeToZero)
564  {
565  d_dt_membrane__V = 0.0;
566  }
567  else
568  {
569  d_dt_membrane__V = ((-1.0) / var_membrane__Cm) * (sac_ionic_current + 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);
570  }
571  double d_dt_rapid_delayed_rectifier_potassium_current_xr1_gate__xr1 = (var_rapid_delayed_rectifier_potassium_current_xr1_gate__alpha_xr1 * (1.0 - var_rapid_delayed_rectifier_potassium_current_xr1_gate__xr1)) - (var_rapid_delayed_rectifier_potassium_current_xr1_gate__beta_xr1 * var_rapid_delayed_rectifier_potassium_current_xr1_gate__xr1);
572  double d_dt_rapid_delayed_rectifier_potassium_current_xr2_gate__xr2 = (var_rapid_delayed_rectifier_potassium_current_xr2_gate__alpha_xr2 * (1.0 - var_rapid_delayed_rectifier_potassium_current_xr2_gate__xr2)) - (var_rapid_delayed_rectifier_potassium_current_xr2_gate__beta_xr2 * var_rapid_delayed_rectifier_potassium_current_xr2_gate__xr2);
573  double d_dt_slow_delayed_rectifier_potassium_current_xs_gate__xs = (var_slow_delayed_rectifier_potassium_current_xs_gate__alpha_xs * (1.0 - var_slow_delayed_rectifier_potassium_current_xs_gate__xs)) - (var_slow_delayed_rectifier_potassium_current_xs_gate__beta_xs * var_slow_delayed_rectifier_potassium_current_xs_gate__xs);
574  double d_dt_fast_sodium_current_m_gate__m = (var_fast_sodium_current_m_gate__alpha_m * (1.0 - var_fast_sodium_current_m_gate__m)) - (var_fast_sodium_current_m_gate__beta_m * var_fast_sodium_current_m_gate__m);
575  double d_dt_fast_sodium_current_h_gate__h = (var_fast_sodium_current_h_gate__alpha_h * (1.0 - var_fast_sodium_current_h_gate__h)) - (var_fast_sodium_current_h_gate__beta_h * var_fast_sodium_current_h_gate__h);
576  double d_dt_L_type_Ca_channel_d_gate__d = 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__d)) - (var_L_type_Ca_channel_d_gate__beta_d * var_L_type_Ca_channel_d_gate__d));
577  double d_dt_L_type_Ca_channel_f_gate__f = 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__f)) - (var_L_type_Ca_channel_f_gate__beta_f * var_L_type_Ca_channel_f_gate__f));
578  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));
579  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));
580  double d_dt_transient_outward_current_s_gate__s = (var_transient_outward_current_s_gate__alpha_s * (1.0 - var_transient_outward_current_s_gate__s)) - (var_transient_outward_current_s_gate__beta_s * var_transient_outward_current_s_gate__s);
581  double d_dt_transient_outward_current_r_gate__r = 333.0 * ((1.0 / (1.0 + exp((-(var_transient_outward_current_r_gate__V + 4.0)) / 5.0))) - var_transient_outward_current_r_gate__r);
582  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);
583  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);
584  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);
585  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));
586  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);
587  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);
588  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;
589  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);
590  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;
591  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;
592 
593  rDY[0] = 0.001*d_dt_membrane__V;
594  rDY[1] = 0.001*d_dt_rapid_delayed_rectifier_potassium_current_xr1_gate__xr1;
595  rDY[2] = 0.001*d_dt_rapid_delayed_rectifier_potassium_current_xr2_gate__xr2;
596  rDY[3] = 0.001*d_dt_slow_delayed_rectifier_potassium_current_xs_gate__xs;
597  rDY[4] = 0.001*d_dt_fast_sodium_current_m_gate__m;
598  rDY[5] = 0.001*d_dt_fast_sodium_current_h_gate__h;
599  rDY[6] = 0.001*d_dt_L_type_Ca_channel_d_gate__d;
600  rDY[7] = 0.001*d_dt_L_type_Ca_channel_f_gate__f;
601  rDY[8] = 0.001*d_dt_L_type_Ca_channel_f2_gate__f2;
602  rDY[9] = 0.001*d_dt_L_type_Ca_channel_f2ds_gate__f2ds;
603  rDY[10] = 0.001*d_dt_transient_outward_current_s_gate__s;
604  rDY[11] = 0.001*d_dt_transient_outward_current_r_gate__r;
605  rDY[12] = 0.001*d_dt_calcium_release__ActFrac;
606  rDY[13] = 0.001*d_dt_calcium_release__ProdFrac;
607  rDY[14] = 0.001*d_dt_intracellular_sodium_concentration__Na_i;
608  rDY[15] = 0.001*d_dt_intracellular_potassium_concentration__K_i;
609  rDY[16] = 0.001*d_dt_intracellular_calcium_concentration__Ca_i;
610  rDY[17] = 0.001*d_dt_intracellular_calcium_concentration__Ca_ds;
611  rDY[18] = 0.001*d_dt_intracellular_calcium_concentration__Ca_up;
612  rDY[19] = 0.001*d_dt_intracellular_calcium_concentration__Ca_rel;
613  rDY[20] = 0.001*d_dt_intracellular_calcium_concentration__Ca_Calmod;
614  rDY[21] = 0.001*d_dt_intracellular_calcium_concentration__Ca_Trop;
615 }
616 
617 
618 template<>
619 void OdeSystemInformation<CML_noble_varghese_kohl_noble_1998_basic_with_sac>::Initialise(void)
620 {
621  // Time units: second
622  //
623  this->mVariableNames.push_back("V");
624  this->mVariableUnits.push_back("millivolt");
625  this->mInitialConditions.push_back(-92.849333);
626 
627  this->mVariableNames.push_back("xr1");
628  this->mVariableUnits.push_back("dimensionless");
629  this->mInitialConditions.push_back(1.03e-5);
630 
631  this->mVariableNames.push_back("xr2");
632  this->mVariableUnits.push_back("dimensionless");
633  this->mInitialConditions.push_back(2e-7);
634 
635  this->mVariableNames.push_back("xs");
636  this->mVariableUnits.push_back("dimensionless");
637  this->mInitialConditions.push_back(0.001302);
638 
639  this->mVariableNames.push_back("m");
640  this->mVariableUnits.push_back("dimensionless");
641  this->mInitialConditions.push_back(0.0016203);
642 
643  this->mVariableNames.push_back("h");
644  this->mVariableUnits.push_back("dimensionless");
645  this->mInitialConditions.push_back(0.9944036);
646 
647  this->mVariableNames.push_back("d");
648  this->mVariableUnits.push_back("dimensionless");
649  this->mInitialConditions.push_back(0);
650 
651  this->mVariableNames.push_back("f");
652  this->mVariableUnits.push_back("dimensionless");
653  this->mInitialConditions.push_back(1);
654 
655  this->mVariableNames.push_back("f2");
656  this->mVariableUnits.push_back("dimensionless");
657  this->mInitialConditions.push_back(0.9349197);
658 
659  this->mVariableNames.push_back("f2ds");
660  this->mVariableUnits.push_back("dimensionless");
661  this->mInitialConditions.push_back(0.9651958);
662 
663  this->mVariableNames.push_back("s");
664  this->mVariableUnits.push_back("dimensionless");
665  this->mInitialConditions.push_back(0.9948645);
666 
667  this->mVariableNames.push_back("r");
668  this->mVariableUnits.push_back("dimensionless");
669  this->mInitialConditions.push_back(0);
670 
671  this->mVariableNames.push_back("ActFrac");
672  this->mVariableUnits.push_back("dimensionless");
673  this->mInitialConditions.push_back(0.0042614);
674 
675  this->mVariableNames.push_back("ProdFrac");
676  this->mVariableUnits.push_back("dimensionless");
677  this->mInitialConditions.push_back(0.4068154);
678 
679  this->mVariableNames.push_back("Na_i");
680  this->mVariableUnits.push_back("millimolar");
681  this->mInitialConditions.push_back(7.3321223);
682 
683  this->mVariableNames.push_back("K_i");
684  this->mVariableUnits.push_back("millimolar");
685  this->mInitialConditions.push_back(136.5644281);
686 
687  this->mVariableNames.push_back("Ca_i");
688  this->mVariableUnits.push_back("millimolar");
689  this->mInitialConditions.push_back(1.4e-5);
690 
691  this->mVariableNames.push_back("Ca_ds");
692  this->mVariableUnits.push_back("millimolar");
693  this->mInitialConditions.push_back(1.88e-5);
694 
695  this->mVariableNames.push_back("Ca_up");
696  this->mVariableUnits.push_back("millimolar");
697  this->mInitialConditions.push_back(0.4531889);
698 
699  this->mVariableNames.push_back("Ca_rel");
700  this->mVariableUnits.push_back("millimolar");
701  this->mInitialConditions.push_back(0.4481927);
702 
703  this->mVariableNames.push_back("Ca_Calmod");
704  this->mVariableUnits.push_back("millimolar");
705  this->mInitialConditions.push_back(0.0005555);
706 
707  this->mVariableNames.push_back("Ca_Trop");
708  this->mVariableUnits.push_back("millimolar");
709  this->mInitialConditions.push_back(0.0003542);
710 
711  this->mInitialised = true;
712 }
713 
714 // Serialization for Boost>=1.36
715 #include "SerializationExportWrapperForCpp.hpp"
716 CHASTE_CLASS_EXPORT(CML_noble_varghese_kohl_noble_1998_basic_with_sac)
OdeSystemInformation::Instance
static boost::shared_ptr< OdeSystemInformation< ODE_SYSTEM > > Instance()
Definition: OdeSystemInformation.hpp:114
CML_noble_varghese_kohl_noble_1998_basic_with_sac::~CML_noble_varghese_kohl_noble_1998_basic_with_sac
~CML_noble_varghese_kohl_noble_1998_basic_with_sac()
Definition: NobleVargheseKohlNoble1998WithSac.cpp:52
CML_noble_varghese_kohl_noble_1998_basic_with_sac
Definition: NobleVargheseKohlNoble1998WithSac.hpp:55
CML_noble_varghese_kohl_noble_1998_basic_with_sac::EvaluateYDerivatives
void EvaluateYDerivatives(double var_environment__time, const std::vector< double > &rY, std::vector< double > &rDY)
Definition: NobleVargheseKohlNoble1998WithSac.cpp:251
CML_noble_varghese_kohl_noble_1998_basic_with_sac::CML_noble_varghese_kohl_noble_1998_basic_with_sac
CML_noble_varghese_kohl_noble_1998_basic_with_sac(boost::shared_ptr< AbstractIvpOdeSolver > pSolver, boost::shared_ptr< AbstractStimulusFunction > pIntracellularStimulus)
Definition: NobleVargheseKohlNoble1998WithSac.cpp:39
AbstractUntemplatedParameterisedSystem::mpSystemInfo
boost::shared_ptr< AbstractOdeSystemInformation > mpSystemInfo
Definition: AbstractUntemplatedParameterisedSystem.hpp:301
HeartConfig::GetCapacitance
double GetCapacitance() const
Definition: HeartConfig.cpp:1580
CHASTE_CLASS_EXPORT
#define CHASTE_CLASS_EXPORT(T)
Definition: SerializationExportWrapper.hpp:347
HeartConfig::Instance
static HeartConfig * Instance()
Definition: HeartConfig.cpp:207
CML_noble_varghese_kohl_noble_1998_basic_with_sac::GetIIonic
double GetIIonic(const std::vector< double > *pStateVariables=NULL)
Definition: NobleVargheseKohlNoble1998WithSac.cpp:56
CML_noble_varghese_kohl_noble_1998_basic_with_sac::mStretch
double mStretch
Definition: NobleVargheseKohlNoble1998WithSac.hpp:72