TY - JOUR

T1 - Mathematical modelling of acute phase of myocardial infarction

AU - Tsgoev, Chermen A.

AU - Voropaeva, Olga F.

AU - Shokin, Yuri I.

PY - 2020/4/28

Y1 - 2020/4/28

N2 - A mathematical model of the dynamics of cardiomyocyte death in myocardial infarction during the acute phase of the disease is developed. An economical computing technology of structural and parametric identification of model equations is presented based on the use of experimental data as dynamic parameters and on the idea of splitting the inverse coefficient problem with a large number of unknown parameters into a sequence of simpler inverse problems. The relevance of the proposed mathematical model is confirmed by comparison of the numerical solution to the problem with experimental data and also with the results of modelling of known therapeutic strategies.

AB - A mathematical model of the dynamics of cardiomyocyte death in myocardial infarction during the acute phase of the disease is developed. An economical computing technology of structural and parametric identification of model equations is presented based on the use of experimental data as dynamic parameters and on the idea of splitting the inverse coefficient problem with a large number of unknown parameters into a sequence of simpler inverse problems. The relevance of the proposed mathematical model is confirmed by comparison of the numerical solution to the problem with experimental data and also with the results of modelling of known therapeutic strategies.

KW - computational technology

KW - cytokine therapy

KW - inflammation

KW - inverse coefficient problem

KW - macrophages M1 and M2

KW - Mathematical modelling

KW - myocardial infarction

KW - necrosis

KW - structural identification of ODE

UR - http://www.scopus.com/inward/record.url?scp=85084761343&partnerID=8YFLogxK

U2 - 10.1515/rnam-2020-0009

DO - 10.1515/rnam-2020-0009

M3 - Article

AN - SCOPUS:85084761343

VL - 35

SP - 111

EP - 126

JO - Russian Journal of Numerical Analysis and Mathematical Modelling

JF - Russian Journal of Numerical Analysis and Mathematical Modelling

SN - 0927-6467

IS - 2

ER -