Homogenisation for the monodomain model in the presence of microscopic fibrotic structures.

ABSTRACT: Computational models in cardiac electrophysiology are notorious for long runtimes, restricting the numbers of nodes and mesh elements in the numerical discretisations used for their solution. This makes it particularly challenging to incorporate structural heterogeneities on small spatial scales, preventing a full understanding of the critical arrhythmogenic effects of conditions such as cardiac fibrosis. In this work, we explore the technique of homogenisation by volume averaging for the inclusion of non-conductive micro-structures into larger-scale cardiac meshes with minor computational overhead. Importantly, our approach is not restricted to periodic patterns, enabling homogenised models to represent, for example, the intricate patterns of collagen deposition present in different types

SUBMITTER: Lawson BAJ 

PROVIDER: S-EPMC10124103 | biostudies-literature | 2023 Jan

REPOSITORIES: biostudies-literature