Modeling of a biological cell exposed to an electrical pulse: a Discrete Dual Finite Volume method application

This article proposes a finite volume-based computational method to simulate a cell’s response to an electrical pulse. The membrane of the cell and dielectric dispersion is accounted for leading to a Poisson equation with heterogeneous jump conditions. To address this, we employ a tailored discrete dual finite volume scheme, ensuring precise treatment of jump conditions and demonstrating second-order convergence. Numerical tests are provided in both the stationary a non-stationary cases to show the effectiveness of the method.