Mathematical and computational method for electrical analysis of biological tissues

This paper presents the mathematical and computational methods for the implementation of the equivalent circuit method including a thermal and electroporation calculation for the analysis of the electric response of biological tissues excited by high-voltage pulses applied through metallic electrodes. A mathematical method for evaluating the dynamic behavior of cell membrane conductance is proposed based on the electroporation asymptotic model of Neu and Krassowska. Ex vivo electroporation experiments on rat liver samples were performed, and experimental results for electrical current and surface temperature of the sample were used to adjust several parameters of the electroporation model. The adjustments provided good agreement between computational and experimental results.