ArticleCommunications in nonlinear science & numerical simulation2023
Homogenisation for the monodomain model in the presence of microscopic fibrotic structures.
Article in Communications in nonlinear science & numerical simulation, 2023. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 6 papers.
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Who cites it
6 citing papers in PubMed, 12 citations in OpenAlex.
- In silico predictions of action potential propagation in doxorubicin cardiotoxicity: A parametric study using preclinical 3D magnetic resonance imaging-based fibrotic left ventricle models.The Journal of physiology · 2026Article
- Evaluating computational efforts and physiological resolution of mathematical models of cardiac tissue.Scientific reports · 2024Article
- Fibroblast mediated dynamics in diffusively uncoupled myocytes: a simulation study using 2-cell motifs.Scientific reports · 2024Article
- Re-entry in models of cardiac ventricular tissue with scar represented as a Gaussian random field.Frontiers in physiology · 2024Article
- Graph-based homogenisation for modelling cardiac fibrosis.Journal of computational physics · 2022Article
- CVAR-Seg: An Automated Signal Segmentation Pipeline for Conduction Velocity and Amplitude Restitution.Frontiers in physiology · 2021Article
Corrections and comments
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Authors and funding
6 authors at 3 institutions in 3 countries.
Funding
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 of fibrosis. We first highlight the importance of appropriate boundary condition choice for the closure problems that define the parameters of homogenised models. Then, we demonstrate the technique's ability to correctly upscale the effects of fibrotic patterns with a spatial resolution of
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Registered trials
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