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Sibirskii Zhurnal Industrial'noi Matematiki, 2019, Volume 22, Number 2, Pages 13–26
DOI: https://doi.org/10.33048/sibjim.2019.22.202 (Mi sjim1039) 		 
This article is cited in 14 scientific papers (total in 14 papers)

A numerical model of inflammation dynamics in the core of myocardial infarction

O. F. Voropaevaa, Ch. A. Tsgoevba

a Novosibirsk State University, ul. Pirogova 1, 630090 Novosibirsk
b Institute of Computational Technologies SB RAS, pr. Acad. Lavrentyeva 6, 630090 Novosibirsk
Full-text PDF (922 kB) Citations (14)
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DOI: https://doi.org/10.33048/sibjim.2019.22.202
Abstract: Mathematical simulation is carried out of the dynamics of an acute inflammatory process in the central zone of necrotic myocardial damage. Some mathematical model of the dynamics of the monocyte-macrophages and cytokines is presented and the numerical algorithm is developed for solving an inverse coefficient problem for a stiff nonlinear system of ordinary differential equations (ODEs). The methodological studies showed that the solution obtained by the genetic BGA algorithm agrees well with the solutions obtained by the gradient and ravine methods. Adequacy of the simulation results is confirmed by their qualitative and quantitative agreement with the laboratory data on the dynamics of inflammatory process in the case of infarction in the left ventricle of the heart of a mouse.
Keywords: myocardial infarction, mathematical simulation, direct and inverse problems, genetic algorithm, necrosis, inflammation, M1 and M2 macrophages, cytokine, IL-1, IL-10, TNF-$\alpha$.
Received: 04.12.2018
Revised: 24.12.2018
Accepted: 27.12.2018
English version:
Journal of Applied and Industrial Mathematics, 2019, Volume 13, Issue 2, Pages 372–383
DOI: https://doi.org/10.1134/S1990478919020182
Bibliographic databases:
Document Type: Article
UDC: 519.6:51.76
Language: Russian
Citation: O. F. Voropaeva, Ch. A. Tsgoev, “A numerical model of inflammation dynamics in the core of myocardial infarction”, Sib. Zh. Ind. Mat., 22:2 (2019), 13–26; J. Appl. Industr. Math., 13:2 (2019), 372–383
Citation in format AMSBIB
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\by O.~F.~Voropaeva, Ch.~A.~Tsgoev
\paper A numerical model of inflammation dynamics in the core of myocardial infarction
\jour Sib. Zh. Ind. Mat.
\yr 2019
\vol 22
\issue 2
\pages 13--26
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\crossref{https://doi.org/10.33048/sibjim.2019.22.202}
\elib{https://elibrary.ru/item.asp?id=41685847}
\transl
\jour J. Appl. Industr. Math.
\yr 2019
\vol 13
\issue 2
\pages 372--383
\crossref{https://doi.org/10.1134/S1990478919020182}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85067391350}
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал индустриальной математики
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