Estimation of Parameters for an Archetypal Model of Cardiomyocyte Membrane Potentials
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 mathematica...
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Format: | Article |
Language: | English |
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Bulgarian Academy of Sciences
2022-09-01
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Series: | International Journal Bioautomation |
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Online Access: | http://www.biomed.bas.bg/bioautomation/2022/vol_26.3/files/26.3_04.pdf |
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author | Muhamad H. N. Aziz Radostin D. Simitev |
author_facet | Muhamad H. N. Aziz Radostin D. Simitev |
author_sort | Muhamad H. N. Aziz |
collection | DOAJ |
description | 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. |
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format | Article |
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institution | Directory Open Access Journal |
issn | 1314-1902 1314-2321 |
language | English |
last_indexed | 2024-04-12T18:03:51Z |
publishDate | 2022-09-01 |
publisher | Bulgarian Academy of Sciences |
record_format | Article |
series | International Journal Bioautomation |
spelling | doaj.art-fa5ef40eb9a64e628ae6f093ef08f6492022-12-22T03:22:03ZengBulgarian Academy of SciencesInternational Journal Bioautomation1314-19021314-23212022-09-0126325527210.7546/ijba.2022.26.3.000832Estimation of Parameters for an Archetypal Model of Cardiomyocyte Membrane PotentialsMuhamad H. N. Aziz0Radostin D. SimitevSchool of Mathematics and Statistics, University of Glasgow, Glasgow G12 8QQ, United KingdomContemporary 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.http://www.biomed.bas.bg/bioautomation/2022/vol_26.3/files/26.3_04.pdfmathematical modelcardiac action potentialelectrophysiologyparameter estimation |
spellingShingle | Muhamad H. N. Aziz Radostin D. Simitev Estimation of Parameters for an Archetypal Model of Cardiomyocyte Membrane Potentials International Journal Bioautomation mathematical model cardiac action potential electrophysiology parameter estimation |
title | Estimation of Parameters for an Archetypal Model of Cardiomyocyte Membrane Potentials |
title_full | Estimation of Parameters for an Archetypal Model of Cardiomyocyte Membrane Potentials |
title_fullStr | Estimation of Parameters for an Archetypal Model of Cardiomyocyte Membrane Potentials |
title_full_unstemmed | Estimation of Parameters for an Archetypal Model of Cardiomyocyte Membrane Potentials |
title_short | Estimation of Parameters for an Archetypal Model of Cardiomyocyte Membrane Potentials |
title_sort | estimation of parameters for an archetypal model of cardiomyocyte membrane potentials |
topic | mathematical model cardiac action potential electrophysiology parameter estimation |
url | http://www.biomed.bas.bg/bioautomation/2022/vol_26.3/files/26.3_04.pdf |
work_keys_str_mv | AT muhamadhnaziz estimationofparametersforanarchetypalmodelofcardiomyocytemembranepotentials AT radostindsimitev estimationofparametersforanarchetypalmodelofcardiomyocytemembranepotentials |