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

• Main Authors: Gao, H. (Author), Mortensen, P. (Author), Simitev, R.D (Author), Smith, G. (Author)
• Format: Article
• Language: English
• Published: Oxford University Press 2021
• Subjects: action potential; Action potential propagation; Action Potentials; Analytical theory; asymptotic approximation; Asymptotic approximation; Atrial tissues; Barrier distributions; Cell culture; Closed form approximations; electrophysiology; Electrophysiology; fibroblast; Fibroblasts; muscle cell; Muscle Cells; myocyte-fibroblast coupling; Myocyte-fibroblast coupling; Myocytes; refractoriness; Refractoriness
• Online Access: View Fulltext in Publisher
• ISBN: 14778599 (ISSN)
• DOI: 10.1093/imammb/dqab005

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. © 2020 The Author(s) 2021. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications.