An efficient generalization of the Rush-Larsen method for solving electro-physiology membrane equations

07/2009

An efficient generalization of the Rush-Larsen method for solving electro-physiology membrane equations

Monday 16th February 2009

Perego, Mauro; Veneziani, Alessandro

In this paper we address a second-order class of methods for solving ordinary differential systems coming from some problems in electro-physiology. The set of methods generalizes to the second order a previous proposal by Rush and Larsen (1978). We prove that the methods are second-order convergent and are in general more stable than the corresponding multistep methods. Moreover, they feature better positivity properties. We present their time-adaptive formulation, which is well suited for our electrophysiology problems. In particular, numerical results are presented on the Monodomain model coupled to Luo-Rudy I ionic models for the propagation of the cardiac potential.