Numerical Simulation Inflammatory Phase of Myocardial Infarction
O. F. Voropaeva1, Ch. A. Tsgoev1,2, Yu. I. Shokin1
1Federal Research Center for Information and Computational Technologies, Novosibirsk, 630090, Russia
2Novosibirsk National Research State University, Novosibirsk, 630090 Russia
Keywords: mathematical model, myocardial infarction, demarcation inflammation, trigger mechanism, Cauchy problem, reactions-diffusion equations, fractional step method
Abstract
The dynamics of death of cardiac muscle cells during the acute phase of myocardial infarction has been studied numerically. The problem is considered in the local and spatially distributed formulations. The adequacy of the mathematical model is confirmed by the quantitatively agreement between the results of numerical solution of the problem and experimental data. The adopted models were used to investigate the trigger mechanism of transition from a favorable scenario for the development of an acute myocardial infarction to a scenario characterized by a rapid increase in the level of myocardial damage on the third - fifth day of myocardial infarction. For these scenarios of the development of a myocardial infarction, the process of demarcation inflammation has been investigated. It has been shown that the results of studies, including evaluations of the effectiveness of cytokine anti-inflammatory therapeutic strategies are consistent with available data of laboratory studies.
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