학술논문

Mathematical modelling of acute phase of myocardial infarction
Document Type
research-article
Source
Russian Journal of Numerical Analysis and Mathematical Modelling. 35(2):111-126
Subject
Mathematical modelling
inverse coefficient problem
structural identification of ODE
computational technology
myocardial infarction
necrosis
inflammation
macrophages M1 and M2
cytokine therapy
97M60
65L09
90C31
93B30
Language
English
ISSN
1569-3988
0927-6467
Abstract
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.