On boundary stimulation and optimal boundary control of the bidomain equations

Math Biosci. 2013 Oct;245(2):206-15. doi: 10.1016/j.mbs.2013.07.004. Epub 2013 Jul 12.

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.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Algorithms
  • Arrhythmias, Cardiac / physiopathology
  • Arrhythmias, Cardiac / therapy
  • Computational Biology
  • Computer Simulation
  • Electric Countershock / statistics & numerical data*
  • Electrophysiological Phenomena
  • Finite Element Analysis
  • Humans
  • Mathematical Concepts
  • Models, Cardiovascular*