On boundary stimulation and optimal boundary control of the bidomain equations

Abstract

The bidomain equations with Neumann boundary stimulation and optimal control of these stimuli are investigated. First an analytical framework for boundary control is provided. Then a parallel finite element based algorithm is devised and its efficiency is demonstrated not only for the direct problem but also for the optimal control problem. The computations realize a model configuration corresponding to optimal boundary defibrillation of a reentry phenomenon by applying current density stimuli.

Keywords: Bidomain model; Defibrillation; Neumann stimulation; Optimal control; Parallel FEM.