AuthorsJ. Sundnes, R. Artebrant, O. Skavhaug and A. Tveito
TitleA Second Order Algorithm for Solving Dynamic Cell Membrane Equations
AfilliationCenter for Biomedical Computing (SFF), Cardiac Modeling, Scientific Computing
Project(s)Center for Biomedical Computing (SFF)
StatusPublished
Publication TypeJournal Article
Year of Publication2009
JournalIEEE Transactions on Biomedical Engineering
Volume56
Number10
Pagination2546-2548
Abstract

This paper describes an extension of the so-called Rush-Larsen scheme, which is a widely used numerical method for solving dynamic models of cardiac cell electrophysiology. The proposed method applies a local linearization of non-linear terms in combination with the analytical solution of linear ordinary differential equations, to obtain a second order accurate numerical scheme. We compare the error and computational load of the second order scheme to the original Rush-Larsen method. For a given error tolerance, the second order method is from nine to 500 times faster than the original scheme, depending on the choice of model and tolerance.

Citation KeySimula.SC.114