Authors | J. Sundnes, R. Artebrant, O. Skavhaug and A. Tveito |
Title | A Second Order Algorithm for Solving Dynamic Cell Membrane Equations |
Afilliation | , Scientific Computing, Scientific Computing |
Project(s) | Center for Biomedical Computing (SFF) |
Status | Published |
Publication Type | Journal Article |
Year of Publication | 2009 |
Journal | IEEE Transactions on Biomedical Engineering |
Volume | 56 |
Number | 10 |
Pagination | 2546-2548 |
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 Key | Simula.SC.114 |