Representation of multiple cellular phenotypes within tissue-level simulations of cardiac electrophysiology

Bowler, Louise A.; Gavaghan, David J.; Mirams, Gary R.; Whiteley, Jonathan P.

Abstract

Distinct electrophysiological phenotypes are exhibited 1 by biological cells that have differentiated into particular cell types. The usual approach when simulating the cardiac electrophysiology of tissue that includes different cell types is to model the different cell types as occupying spatially distinct yet coupled regions. Instead, we model the electrophysiology of well-mixed cells by using homogenisation to derive an extension to the commonly used monodomain or bidomain equations. These new equations permit spatial variations in the distribution of the different subtypes of cells and will reduce the computational demands of solving the governing equations. We validate the homogenisation computationally, and then use the new model to explain some experimental observations from stem cell-derived cardiomyocyte monolayers.

Citation

Bowler, L. A., Gavaghan, D. J., Mirams, G. R., & Whiteley, J. P. (2019). Representation of multiple cellular phenotypes within tissue-level simulations of cardiac electrophysiology. Bulletin of Mathematical Biology, 81(1), 7–38. https://doi.org/10.1007/s11538-018-0516-1

• Journal Article Type: Article
• Acceptance Date: Jun 20, 2018
• Online Publication Date: Oct 5, 2018
• Publication Date: 2019-01
• Deposit Date: Jul 31, 2018
• Publicly Available Date: Oct 6, 2019
• Journal: Bulletin of Mathematical Biology
• Print ISSN: 0092-8240
• Electronic ISSN: 1522-9602
• Publisher: Springer Verlag
• Peer Reviewed: Peer Reviewed
• Volume: 81
• Issue: 1
• Pages: 7–38
• DOI: https://doi.org/10.1007/s11538-018-0516-1
• Keywords: Immunology; General Biochemistry, Genetics and Molecular Biology; Computational Theory and Mathematics; General Neuroscience; Pharmacology; General Agricultural and Biological Sciences; General Mathematics; General Environmental Science
• Public URL: https://nottingham-repository.worktribe.com/output/940049
• Publisher URL: https://link.springer.com/article/10.1007%2Fs11538-018-0516-1
• Additional Information: Received: 17 November 2017; Accepted: 31 July 2018; First Online: 5 October 2018
• Contract Date: Jul 31, 2018