WelikyOsterForce.cpp

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*/

#include "WelikyOsterForce.hpp"

template<unsigned DIM>
WelikyOsterForce<DIM>::WelikyOsterForce()
   : AbstractForce<DIM>(),
     mWelikyOsterAreaParameter(1.0),
     mWelikyOsterPerimeterParameter(1.0)
{
}

template<unsigned DIM>
WelikyOsterForce<DIM>::~WelikyOsterForce()
{
}

template<unsigned DIM>
void WelikyOsterForce<DIM>::AddForceContribution(std::vector<c_vector<double, DIM> >& rForces,
                                                 AbstractCellPopulation<DIM>& rCellPopulation)
{
    // Make sure that we are in the correct dimension - this code will be eliminated at compile time
    assert(DIM == 2); // this method only works in 2D at present

    // Throw an exception message if not using a VertexBasedCellPopulation
    if (dynamic_cast<VertexBasedCellPopulation<DIM>*>(&rCellPopulation) == NULL)
    {
        EXCEPTION("WelikyOsterForce is to be used with a VertexBasedCellPopulation only");
    }

    // Helper variable that is a static cast of the cell population
    VertexBasedCellPopulation<DIM>* p_cell_population = static_cast<VertexBasedCellPopulation<DIM>*>(&rCellPopulation);

    /*
     * The force on each node is given by the interaction between the area and
     * the perimeter of the element containing the node.
     */

    // Iterate over elements in the cell population
    for (typename VertexMesh<DIM,DIM>::VertexElementIterator element_iter = p_cell_population->rGetMesh().GetElementIteratorBegin();
             element_iter != p_cell_population->rGetMesh().GetElementIteratorEnd();
             ++element_iter)
    {
        unsigned element_index = element_iter->GetIndex();

        /******** Start of deformation force calculation ********/

        // Compute the area of this element
        double element_area = p_cell_population->rGetMesh().GetVolumeOfElement(element_index);

        double deformation_coefficient = GetWelikyOsterAreaParameter()/element_area;

        /******** End of deformation force calculation *************/

        /******** Start of membrane force calculation ***********/

        // Compute the perimeter of the element
        double element_perimeter = p_cell_population->rGetMesh().GetSurfaceAreaOfElement(element_index);

        double membrane_surface_tension_coefficient = GetWelikyOsterPerimeterParameter()*element_perimeter;

        /******** End of membrane force calculation **********/

        unsigned num_nodes = element_iter->GetNumNodes();
        for (unsigned node_local_index = 0; node_local_index < num_nodes; node_local_index++)
        {
            unsigned node_global_index = element_iter->GetNodeGlobalIndex(node_local_index);

            c_vector<double, DIM> current_node = element_iter->GetNodeLocation(node_local_index);
            c_vector<double, DIM> next_node = element_iter->GetNodeLocation((node_local_index + 1)%(element_iter->GetNumNodes()));
            c_vector<double, DIM> previous_node = element_iter->GetNodeLocation((node_local_index + element_iter->GetNumNodes() - 1)%(element_iter->GetNumNodes()));

            c_vector<double, DIM> clockwise_unit_vector = p_cell_population->rGetMesh().GetVectorFromAtoB(current_node, previous_node);
            clockwise_unit_vector /= norm_2(clockwise_unit_vector);

            c_vector<double, DIM> anti_clockwise_unit_vector = p_cell_population->rGetMesh().GetVectorFromAtoB(current_node, next_node);
            anti_clockwise_unit_vector /= norm_2(anti_clockwise_unit_vector);

            // Calculate the outward normal at the node
            c_vector<double, DIM> outward_normal = -0.5*clockwise_unit_vector - 0.5*anti_clockwise_unit_vector;
            outward_normal /= norm_2(outward_normal);

            c_vector<double, DIM> deformation_contribution = deformation_coefficient * outward_normal;

            c_vector<double, DIM> membrane_surface_tension_contribution = membrane_surface_tension_coefficient * (clockwise_unit_vector + anti_clockwise_unit_vector);

            c_vector<double, DIM> force_on_node = deformation_contribution + membrane_surface_tension_contribution;

            rForces[node_global_index] += force_on_node;
        }
    }
}

template<unsigned DIM>
double WelikyOsterForce<DIM>::GetWelikyOsterAreaParameter()
{
    return mWelikyOsterAreaParameter;
}

template<unsigned DIM>
double WelikyOsterForce<DIM>::GetWelikyOsterPerimeterParameter()
{
    return mWelikyOsterPerimeterParameter;
}

template<unsigned DIM>
void WelikyOsterForce<DIM>::SetWelikyOsterAreaParameter(double welikyOsterAreaParameter)
{
    mWelikyOsterAreaParameter = welikyOsterAreaParameter;
}

template<unsigned DIM>
void WelikyOsterForce<DIM>::SetWelikyOsterPerimeterParameter(double welikyOsterPerimeterParameter)
{
    mWelikyOsterPerimeterParameter = welikyOsterPerimeterParameter;
}

template<unsigned DIM>
void WelikyOsterForce<DIM>::OutputForceParameters(out_stream& rParamsFile)
{
    *rParamsFile << "\t\t\t<WelikyOsterAreaParameter>" << mWelikyOsterAreaParameter << "</WelikyOsterAreaParameter>\n";
    *rParamsFile << "\t\t\t<WelikyOsterPerimeterParameter>" << mWelikyOsterPerimeterParameter << "</WelikyOsterPerimeterParameter>\n";

    // Call method on direct parent class
    AbstractForce<DIM>::OutputForceParameters(rParamsFile);
}

// Explicit instantiation

template class WelikyOsterForce<1>;
template class WelikyOsterForce<2>;
template class WelikyOsterForce<3>;

// Serialization for Boost >= 1.36
#include "SerializationExportWrapperForCpp.hpp"
EXPORT_TEMPLATE_CLASS_SAME_DIMS(WelikyOsterForce)