A dual adaptive explicit time integration algorithm for efficiently solving the cardiac monodomain equation

Mountris K.A. (Universidad de Zaragoza) ; Pueyo E. (Universidad de Zaragoza)

Resumen: The monodomain model is widely used in in-silico cardiology to describe excitation propagation in the myocardium. Frequently, operator splitting is used to decouple the stiff reaction term and the diffusion term in the monodomain model so that they can be solved separately. Commonly, the diffusion term is solved implicitly with a large time step while the reaction term is solved by using an explicit method with adaptive time stepping. In this work, we propose a fully explicit method for the solution of the decoupled monodomain model. In contrast to semi-implicit methods, fully explicit methods present lower memory footprint and higher scalability. However, such methods are only conditionally stable. We overcome the conditional stability limitation by proposing a dual adaptive explicit method in which adaptive time integration is applied for the solution of both the reaction and diffusion terms. We perform a set of numerical examples where cardiac propagation is simulated under physiological and pathophysiological conditions. Results show that the proposed method presents preserved accuracy and improved computational efficiency as compared to standard operator splitting-based methods. © 2021 John Wiley & Sons Ltd.

Idioma: Inglés

DOI: 10.1002/cnm.3461

Año: 2021

Publicado en: International Journal for Numerical Methods in Biomedical Engineering 37, 7 (2021), 3461 [11 pp]
ISSN: 2040-7939

Factor impacto JCR: 2.648 (2021)

Categ. JCR: MATHEMATICS, INTERDISCIPLINARY APPLICATIONS rank: 32 / 108 = 0.296 (2021) - Q2 - T1
Categ. JCR: MATHEMATICAL & COMPUTATIONAL BIOLOGY rank: 28 / 57 = 0.491 (2021) - Q2 - T2
Categ. JCR: ENGINEERING, BIOMEDICAL rank: 70 / 98 = 0.714 (2021) - Q3 - T3

Factor impacto CITESCORE: 5.1 - Engineering (Q1) - Mathematics (Q1) - Computer Science (Q2) - Biochemistry, Genetics and Molecular Biology (Q2)

Factor impacto SCIMAGO: 0.668 - Applied Mathematics (Q2) - Biomedical Engineering (Q2) - Software (Q2) - Molecular Biology (Q2) - Modeling and Simulation (Q2)

Financiación: info:eu-repo/grantAgreement/ES/DGA-FSE/LMP124-18
Financiación: info:eu-repo/grantAgreement/ES/DGA-FSE/T39-20R
Financiación: info:eu-repo/grantAgreement/EUR/ERC-2014-StG-638284
Financiación: info:eu-repo/grantAgreement/ES/MICINN-FEDER/PID2019-105674RB-I00

Tipo y forma: Article (PostPrint)

Área (Departamento): Área Teoría Señal y Comunicac. (Dpto. Ingeniería Electrón.Com.)