Uniformization method for solving cardiac electrophysiology models based on the Markov-chain formulation.
IEEE Trans Biomed Eng
; 62(2): 600-8, 2015 Feb.
Article
em En
| MEDLINE
| ID: mdl-25296402
ABSTRACT
This paper compares different numerical methods for the solution of myocyte models of cardiac electrophysiology. In particular, it presents how the technique called uniformization method substantially increases the stability of simple first-order methods such as Euler explicit method and Rush-Larsen (RL) method, for the solution of modern electrophysiology models that are based on continuous-time Markov chains (MCs) for the description of subcellular structures, such as ion channels. The MCs are often associated with stiff ordinary differential equations that severely limit the time step used by these traditional methods. By using the uniformization method, we could significantly increase the time steps for the solution of different cardiac electrophysiology models and improve the computational performance up to 150 times compared to the performance of Euler's and RL's methods.
Texto completo:
1
Coleções:
01-internacional
Base de dados:
MEDLINE
Assunto principal:
Potenciais de Ação
/
Cadeias de Markov
/
Modelos Estatísticos
/
Miócitos Cardíacos
/
Sistema de Condução Cardíaco
/
Modelos Cardiovasculares
Tipo de estudo:
Health_economic_evaluation
/
Risk_factors_studies
Limite:
Animals
/
Humans
Idioma:
En
Ano de publicação:
2015
Tipo de documento:
Article