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Matematicheskaya Biologiya i Bioinformatika, 2015, Volume 10, Issue 2, Pages 436–454
DOI: https://doi.org/10.17537/2015.10.436
(Mi mbb237)
 

Mathematical Modeling

Functional heterogeneity arising due to electrical and mechanical interactions between cardial myocytes in mathematical model of homogeneous myocardial fiber

A. G. Kursanovab, L. B. Katsnelsonab, N. A. Vikulovaba, O. E. Solovyovaba, V. S. Markhasinba

a Ural Federal University, Ekaterinburg, Russia
b Institute of Immunology and Physiology, Ural Branch of the Russian Academy of Sciences, Ekaterinburg, Russia
References:
Abstract: We developed a mathematical model describing heart muscle strand as a one-dimensional continuous medium of cardiomyocytes, through which electrical excitation propagates and excites the cells for contraction. Intracellular excitationcontraction coupling is presented by means of our earlier published model describing mechanical function of the cardiomyocyte evoked by action potential development and calcium activation of cross-bridge formation. The whole strand model simulates also mechanical interaction between the cardiomyocytes in the tissue and accounts for both intracellular and intercellular electro-mechanical coupling and mechano-electric feedback mechanisms. Numerical experiments with the strand formed of initially identical cardiomyocytes revealed that electrical and mechanical interaction between the cells, as well as intracellular mechano-electric feedbacks caused pronounced nonuniformity of their behavior. Model analysis suggests that cooperative mechanisms of myofilament calcium activation play the key role in dynamic adjustment of electrical and mechanical activity of the interacting cardiomyocytes in the tissue.
Key words: myocardium contraction, cardiomyocyte interaction, excitation-contraction coupling, cardiac mechano-electric feedback, cooperativity.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations II4П
Russian Foundation for Basic Research 13-04-00365_а
14-01-00885_а
Ural Branch of the Russian Academy of Sciences 15-5-4-8
Russian Science Foundation 14-35-00005
Development of the program code for 1D model of myocardium is supported by Programe of the Presidium of the Russian Academy of Sciences (II.4П), mathematical modeling of cooperative mechanisms underlying MEF in cardiomyocytes is supported by the RFBR (#13-04-00365) and by the RAS Program (#15-5-4-8), analysis of intracellular mechanisms underlying long-term effects of cell coupling in the tissue is supported by the RBRF (#14-01-00885) and effects of electro-mechanical coupling in myocardial tissue is supported by The Russian Science Foundation (#14-35-00005).
Received 07.10.2015, Published 16.11.2015
Document Type: Article
UDC: 577.35
Language: English
Citation: A. G. Kursanov, L. B. Katsnelson, N. A. Vikulova, O. E. Solovyova, V. S. Markhasin, “Functional heterogeneity arising due to electrical and mechanical interactions between cardial myocytes in mathematical model of homogeneous myocardial fiber”, Mat. Biolog. Bioinform., 10:2 (2015), 436–454
Citation in format AMSBIB
\Bibitem{KurKatVik15}
\by A.~G.~Kursanov, L.~B.~Katsnelson, N.~A.~Vikulova, O.~E.~Solovyova, V.~S.~Markhasin
\paper Functional heterogeneity arising due to electrical and mechanical interactions between cardial myocytes in mathematical model of homogeneous myocardial fiber
\jour Mat. Biolog. Bioinform.
\yr 2015
\vol 10
\issue 2
\pages 436--454
\mathnet{http://mi.mathnet.ru/mbb237}
\crossref{https://doi.org/10.17537/2015.10.436}
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