A Numerical Model of Inflammation Dynamics in the Core of Myocardial Infarction

O. F. Voropaeva, Ch A. Tsgoev

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)372-383
Number of pages12
JournalJournal of Applied and Industrial Mathematics
Volume13
Issue number2
DOIs
Publication statusPublished - 1 Apr 2019

Keywords

  • cytokine
  • direct and inverse problems
  • genetic algorithm
  • IL-1
  • IL-10
  • inflammation
  • M1 and M2 macrophages
  • mathematical simulation
  • myocardial infarction
  • necrosis
  • TNF-α

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