Addendum: Action potential propagation and block in a model of atrial tissue with myocyte-fibroblast coupling

Mortensen, P., Gao, H. , Smith, G. and Simitev, R. D. (2021) Addendum: Action potential propagation and block in a model of atrial tissue with myocyte-fibroblast coupling. Mathematical Medicine and Biology, 38(3), pp. 292-298. (doi: 10.1093/imammb/dqab005) (PMID:33959762)

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Abstract

The analytical theory of our earlier study (Mortensen et al., 2021, Math. Med. Biol., 38, 106–131) is extended to address the outstanding cases of fibroblast barrier distribution and myocyte strait distribution. In particular, closed-form approximations to the resting membrane potential and to the critical parameter values for propagation are derived for these two non-uniform fibroblast distributions and are in good agreement with numerical estimates.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Simitev, Professor Radostin and Smith, Professor Godfrey and Gao, Dr Hao and Mortensen, Mr Peter
Authors: Mortensen, P., Gao, H., Smith, G., and Simitev, R. D.
College/School:College of Medical Veterinary and Life Sciences > Institute of Cardiovascular and Medical Sciences
College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Mathematical Medicine and Biology
Publisher:Oxford University Press
ISSN:1477-8599
ISSN (Online):1477-8602
Published Online:06 May 2021
Copyright Holders:Copyright © 2021 The Authors
First Published:First published in Mathematical Medicine and Biology 38(3): 292-298
Publisher Policy:Reproduced under a Creative Commons License

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
172141EPSRC Centre for Multiscale soft tissue mechanics with application to heart & cancerRaymond OgdenEngineering and Physical Sciences Research Council (EPSRC)EP/N014642/1M&S - Mathematics
303232EPSRC Centre for Multiscale soft tissue mechanics with MIT and POLIMI (SofTMech-MP)Xiaoyu LuoEngineering and Physical Sciences Research Council (EPSRC)EP/S030875/1M&S - Mathematics
308255The SofTMech Statistical Emulation and Translation HubDirk HusmeierEngineering and Physical Sciences Research Council (EPSRC)EP/T017899/1M&S - Statistics