|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)|
|Publication Type||Journal Article|
|Year of Publication||2009|
|Journal||IEEE Transactions on Biomedical Engineering|
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.