PDE constrained optimization of electrical defibrillation in a 3D ventricular slice geometry

Int J Numer Method Biomed Eng. 2016 Apr;32(4):e02742. doi: 10.1002/cnm.2742. Epub 2015 Sep 16.


A computational study of an optimal control approach for cardiac defibrillation in a 3D geometry is presented. The cardiac bioelectric activity at the tissue and bath volumes is modeled by the bidomain model equations. The model includes intramural fiber rotation, axially symmetric around the fiber direction, and anisotropic conductivity coefficients, which are extracted from a histological image. The dynamics of the ionic currents are based on the regularized Mitchell-Schaeffer model. The controls enter in the form of electrodes, which are placed at the boundary of the bath volume with the goal of dampening undesired arrhythmias. The numerical optimization is based on Newton techniques. We demonstrated the parallel architecture environment for the computation of potentials on multidomains and for the higher order optimization techniques.

Keywords: PDE constraint optimization; bidomain model; cardiac arrhythmia; electrophysiology; finite element method; regularized Mitchell-Schaeffer model; second-order optimization methods.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Algorithms
  • Computer Simulation
  • Electric Countershock*
  • Heart Ventricles / anatomy & histology*
  • Imaging, Three-Dimensional*
  • Models, Cardiovascular*
  • Numerical Analysis, Computer-Assisted