| | |
| | | return TS_SUCCESS; |
| | | }; |
| | | |
| | | /** @brief Calculation of energy of the vertex |
| | | /** @brief Calculation of the bending energy of the vertex. |
| | | * |
| | | * Main function that calculates energy of the vertex \f$i\f$. Nearest neighbors (NN) must be ordered in counterclockwise direction for this function to work. |
| | | * Main function that calculates energy of the vertex \f$i\f$. Function returns \f$\frac{1}{2}(c_1+c_2-c)^2 s\f$, where \f$(c_1+c_2)/2\f$ is mean curvature, |
| | | * \f$c/2\f$ is spontaneous curvature and \f$s\f$ is area per vertex \f$i\f$. |
| | | * |
| | | * Nearest neighbors (NN) must be ordered in counterclockwise direction for this function to work. |
| | | * Firstly NNs that form two neighboring triangles are found (\f$j_m\f$, \f$j_p\f$ and common \f$j\f$). Later, the scalar product of vectors \f$x_1=(\mathbf{i}-\mathbf{j_p})\cdot (\mathbf{i}-\mathbf{j_p})(\mathbf{i}-\mathbf{j_p})\f$, \f$x_2=(\mathbf{j}-\mathbf{j_p})\cdot (\mathbf{j}-\mathbf{j_p})\f$ and \f$x_3=(\mathbf{j}-\mathbf{j_p})\cdot (\mathbf{i}-\mathbf{j_p})\f$ are calculated. From these three vectors the \f$c_{tp}=\frac{1}{\tan(\varphi_p)}\f$ is calculated, where \f$\varphi_p\f$ is the inner angle at vertex \f$j_p\f$. The procedure is repeated for \f$j_m\f$ instead of \f$j_p\f$ resulting in \f$c_{tn}\f$. |
| | | * |
| | | \begin{tikzpicture}{ |
| | |
| | | #endif |
| | | // c is forced curvature energy for each vertex. Should be set to zero for |
| | | // normal circumstances. |
| | | /* the following statement is an expression for $\frac{1}{2}\int(c_1+c_2-c_0^\prime)^2\mathrm{d}A$, where $c_0^\prime=2c_0$ (twice the spontaneous curvature) */ |
| | | vtx->energy=0.5*s*(vtx->curvature/s-vtx->c)*(vtx->curvature/s-vtx->c); |
| | | |
| | | return TS_SUCCESS; |
| | |
| | | } |
| | | |
| | | ts_double direct_force_energy(ts_vesicle *vesicle, ts_vertex *vtx, ts_vertex *vtx_old){ |
| | | if(fabs(vtx->c)<1e-15) return 0.0; |
| | | if(fabs(vtx->direct_interaction_force)<1e-15) return 0.0; |
| | | // printf("was here"); |
| | | if(fabs(vesicle->tape->F)<1e-15) return 0.0; |
| | | |
| | |
| | | return vesicle->tape->F*ddp; |
| | | |
| | | } |
| | | |
| | | void stretchenergy(ts_vesicle *vesicle, ts_triangle *triangle){ |
| | | triangle->energy=vesicle->tape->xkA0/2.0*pow((triangle->area/vesicle->tlist->a0-1.0),2); |
| | | } |