Estimation of parameters for an archetypal model of cardiomyocyte membrane potentials

Aziz, M. H.N. and Simitev, R. D. (2022) Estimation of parameters for an archetypal model of cardiomyocyte membrane potentials. International Journal of Bioautomation, 26(3), pp. 255-272. (doi: 10.7546/ijba.2022.26.3.000832)

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Abstract

Contemporary realistic mathematical models of single-cell cardiac electrical excitation are immensely detailed. Model complexity leads to parameter uncertainty, high computational cost and barriers to mechanistic understanding. There is a need for reduced models that are conceptually and mathematically simple but physiologically accurate. To this end, we consider an archetypal model of single-cell cardiac excitation that replicates the phase-space geometry of detailed cardiac models, but at the same time has a simple piecewise-linear form and a relatively low-dimensional configuration space. In order to make this archetypal model practically applicable, we develop and report a robust method for estimation of its parameter values from the morphology of single-stimulus action potentials derived from detailed ionic current models and from experimental myocyte measurements. The procedure is applied to five significant test cases and an excellent agreement with target biomarkers is achieved. Action potential duration restitution curves are also computed and compared to those of the target test models and data, demonstrating conservation of dynamical pacing behaviour by the fine-tuned archetypal model. An archetypal model that accurately reproduces a variety of wet-lab and synthetic electrophysiology data offers a number of specific advantages such as computational efficiency, as also demonstrated in the study. Open-source numerical code of the models and methods used is provided.

Item Type:Articles
Additional Information:This work was supported by the UK Engineering and Physical Sciences Research Council [EPSRC grant numbers EP/N014642/1, EP/S030875/1, EP/T017899/1]. M.H.N. Aziz was funded by the Ministry of Higher Education Malaysia and Universiti Malaya under a SLAB scholarship.
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Simitev, Professor Radostin
Authors: Aziz, M. H.N., and Simitev, R. D.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:International Journal of Bioautomation
Publisher:Bulgarian Academy of Sciences, Institute of Biophysics and Biomedical Engineering
ISSN:1314-1902
ISSN (Online):1314-2321
Copyright Holders:Copyright © 2022 by the authors
First Published:First published in International Journal of Bioautomation 26(3): 255-272
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