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A Numerical Model of Inflammation Dynamics in the Core of Myocardial Infarction. / Voropaeva, O. F.; Tsgoev, Ch A.

In: Journal of Applied and Industrial Mathematics, Vol. 13, No. 2, 01.04.2019, p. 372-383.

Research output: Contribution to journal › Article › peer-review

Harvard

Voropaeva, OF & Tsgoev, CA 2019, 'A Numerical Model of Inflammation Dynamics in the Core of Myocardial Infarction', Journal of Applied and Industrial Mathematics, vol. 13, no. 2, pp. 372-383. https://doi.org/10.1134/S1990478919020182

APA

Voropaeva, O. F., & Tsgoev, C. A. (2019). A Numerical Model of Inflammation Dynamics in the Core of Myocardial Infarction. Journal of Applied and Industrial Mathematics, 13(2), 372-383. https://doi.org/10.1134/S1990478919020182

Vancouver

Voropaeva OF, Tsgoev CA. A Numerical Model of Inflammation Dynamics in the Core of Myocardial Infarction. Journal of Applied and Industrial Mathematics. 2019 Apr 1;13(2):372-383. doi: 10.1134/S1990478919020182

Author

Voropaeva, O. F. ; Tsgoev, Ch A. / A Numerical Model of Inflammation Dynamics in the Core of Myocardial Infarction. In: Journal of Applied and Industrial Mathematics. 2019 ; Vol. 13, No. 2. pp. 372-383.

BibTeX

@article{0dd8b6cf02414621a2c387b74eb3c889,
title = "A Numerical Model of Inflammation Dynamics in the Core of Myocardial Infarction",
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 = "cytokine, direct and inverse problems, genetic algorithm, IL-1, IL-10, inflammation, M1 and M2 macrophages, mathematical simulation, myocardial infarction, necrosis, TNF-α",
author = "Voropaeva, {O. F.} and Tsgoev, {Ch A.}",
year = "2019",
month = apr,
day = "1",
doi = "10.1134/S1990478919020182",
language = "English",
volume = "13",
pages = "372--383",
journal = "Journal of Applied and Industrial Mathematics",
issn = "1990-4789",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "2",

}

RIS

TY - JOUR

T1 - A Numerical Model of Inflammation Dynamics in the Core of Myocardial Infarction

AU - Voropaeva, O. F.

AU - Tsgoev, Ch A.

PY - 2019/4/1

Y1 - 2019/4/1

N2 - 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.

AB - 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.

KW - cytokine

KW - direct and inverse problems

KW - genetic algorithm

KW - IL-1

KW - IL-10

KW - inflammation

KW - M1 and M2 macrophages

KW - mathematical simulation

KW - myocardial infarction

KW - necrosis

KW - TNF-α

UR - http://www.scopus.com/inward/record.url?scp=85067391350&partnerID=8YFLogxK

U2 - 10.1134/S1990478919020182

DO - 10.1134/S1990478919020182

M3 - Article

AN - SCOPUS:85067391350

VL - 13

SP - 372

EP - 383

JO - Journal of Applied and Industrial Mathematics

JF - Journal of Applied and Industrial Mathematics

SN - 1990-4789

IS - 2

ER -

ID: 20643274