|Title:|| An efficient generalization of the Rush-Larsen method for solving electro-physiology membrane equations|
|Date:|| Monday 16th February 2009|
|Author(s) :|| Perego, Mauro; Veneziani, Alessandro|
|Abstract:|| 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.