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([[maybe_unused]] AbstractCellPopulation<DIM>& rCellPopulation)
{
    // This method only works in 2D at present
    if constexpr (DIM == 2)
    {
        // Throw an exception message if not using a VertexBasedCellPopulation
        if (dynamic_cast<VertexBasedCellPopulation<DIM>*>(&rCellPopulation) == nullptr)
        {
            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;
 
                p_cell_population->GetNode(node_global_index)->AddAppliedForceContribution(force_on_node);
            }
        }
    }
    else
    {
        NEVER_REACHED;
    }
}
 
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)