id: Simula.SC.114
authors: Joakim Sundnes, Robert Artebrant, Ola Skavhaug, and Aslak Tveito
title: A second order algorithm for solving dynamic cell membrane equations
publication_year: 2009
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.
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journal: IEEE Transactions on Biomedical Engineering
volume: 56
number: 10
pages: 2546-2548
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publication_state: Published
simula_ou: [<Department at /simula/department/camo>]
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