Computation of the electric field at the tissue scale when pulse voltages are applied to induce electroporation

The computation for the distribution of the electric field ∇ϕ within biological tissues is crucial in the medical treatment based on electroporation in order to make the appropriate choice for both the electrodes and the parameters of the voltage pulses. To perform this kind of simulations, a constitutive law has to be built to establish the relation between the electric field and the total current density induced inside the tissue: it must include, in one hand, the current that flows through the extra cellular medium and, in the other hand, the current that flows through the cells when the membrane is firstly charging during the rise time of the pulse and then electroporated (L. M. Mir et al. "Dynamic modeling of electroporation for the computation of the electric field distribution inside biological tissues during the application of the pulse voltage", 1st Word Congress on Electroporation, Slovénie, 2015).