Figure 10.

Extracellular potential around a neuron computed by the EMI, CBV, CP, and CS methods. We consider the stationary version of the models and the parameter values given in Table 2 except for an increased value of $g_L=3·10^{-5}\mu$m. A Dirichlet boundary condition, u_e = 0, is applied in the simulation in the left panel and a Neumann boundary condition, $\frac{\partial u_{\mathrm{\text{e}}}}{\partial n_{\mathrm{\text{e}}}}=0$, is applied in the right panel. The (Upper panels) show the extracellular potential in the plane in the center of the domain in the z-direction for each of the methods. The (Lower panel) shows the solution along a line 2 μm above the cell in the y-direction and in the center of the domain in the z-direction. Note that in the case of Neumann boundary conditions, we include the additional constraint ${\int }_{{\Omega }_{\mathrm{\text{e}}}}{u}_{\mathrm{\text{e}}}dV=0$ for the EMI, CBV, and CP methods in order to obtain unique solutions. The abbreviations (EMI, CBV, CP, and CS) are summarized in Table 1.