Title: Cell Electropermeabilization Modeling via Multiple Traces Formulation and Time Semi-Implicit Coupling

Abstract: We simulate the electrical response of multiple disjoint biological 3D cells in the electropermeabilization process. Instead of solving the boundary value problem in the volume, we reduce it to a system of boundary integrals equations with nonlinear dynamics on the cell membranes via a coupling the local Multiple Traces Formulation with a time semi-implicit scheme. Spatially, boundary unknowns are approximated by spherical harmonics, thereby allowing for spectral convergence rates for suitable time steps. Numerical results are provided to validate our claims.