Geodesic
A numerical model of inflammation dynamics in the core of myocardial infarction
Sibirskij žurnal industrialʹnoj matematiki, Tome 22 (2019) no. 2, pp. 13-26

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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.
Mots-clés : myocardial infarction, inflammation, M1 and M2 macrophages, IL-1, IL-10, TNF-$\alpha$.
Keywords: mathematical simulation, direct and inverse problems, genetic algorithm, necrosis, cytokine 
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     author = {O. F. Voropaeva and Ch. A. Tsgoev},
     title = {A numerical model of inflammation dynamics in the core of myocardial infarction},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {13--26},
     publisher = {mathdoc},
     volume = {22},
     number = {2},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2019_22_2_a1/}
}
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O. F. Voropaeva; Ch. A. Tsgoev. A numerical model of inflammation dynamics in the core of myocardial infarction. Sibirskij žurnal industrialʹnoj matematiki, Tome 22 (2019) no. 2, pp. 13-26. http://geodesic.mathdoc.fr/item/SJIM_2019_22_2_a1/