Authors
Joakim Sundnes, S Wall, Harald Osnes, Tom Thorvaldsen, Andrew D McCulloch
Publication date
2014/4/26
Journal
Computer methods in biomechanics and biomedical engineering
Volume
17
Issue
6
Pages
604-615
Publisher
Taylor & Francis
Description
Mathematical models of cardiac electro-mechanics typically consist of three tightly coupled parts: systems of ordinary differential equations describing electro-chemical reactions and cross-bridge dynamics in the muscle cells, a system of partial differential equations modelling the propagation of the electrical activation through the tissue and a nonlinear elasticity problem describing the mechanical deformations of the heart muscle. The complexity of the mathematical model motivates numerical methods based on operator splitting, but simple explicit splitting schemes have been shown to give severe stability problems for realistic models of cardiac electro-mechanical coupling. The stability may be improved by adopting semi-implicit schemes, but these give rise to challenges in updating and linearising the active tension. In this paper we present an operator splitting framework for strongly coupled electro-mechanical …
Scholar articles
J Sundnes, S Wall, H Osnes, T Thorvaldsen… - Computer methods in biomechanics and biomedical …, 2014