¹Federal Research Center for Information and Computational Technologies, Novosibirsk, Russia
²Novosibirsk National Research State University, Novosibirsk, Russia

Abstract. The study of the inflammatory phase of acute myocardial infarction in multivessel coronary lesion was performed using the methodology of mathematical modeling. The minimal reaction-diffusion mathematical model is focused on the description of the functional M1/M2 polarization of macrophages and the influence of factors of aseptic inflammation on the process of cardiomyocyte death. The initial conditions and dynamics of the process in the infarction nucleus are assumed to be consistent with laboratory measurement data. The nature of the spatiotemporal distribution of substances (cell populations and inflammatory mediators) and the features of the formation of nonlinear dynamic structures of demarcation inflammation are studied using model examples. The patterns of functioning of the basic mechanisms of the inflammatory response are analyzed, and the role of the main inflammatory mediators is evaluated. The previously obtained estimates of the effectiveness of anti-inflammatory therapeutic strategies based on cytokine management and macrophage polarization in complex heart attack scenarios with multivessel coronary lesion have been confirmed. The research results allow us to consider the accepted reaction-diffusion model with constant diffusion coefficients as an example of a formal mathematical description of an active environment in which dissipative (diffusion) and local biochemical processes compete with each other, as well as the pro-inflammatory link of innate immunity opposes the anti-inflammatory one. The ability of macrophages to functionally M1/M2 polarization and reprogramming plays a crucial role in this competition.The adequacy of the research results is confirmed by quantitative and qualitative agreement with experimental data.

Key words: myocardial infarction, multivessel lesion, cardiomyocytes, cytokines, macrophage polarization, demarcation inflammation, mathematical model, reaction–diffusion equations, fractional step method, interaction of population waves, quasi-stationary structures.