Matematicheskaya Biologiya i Bioinformatika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Mat. Biolog. Bioinform.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Matematicheskaya Biologiya i Bioinformatika, 2023, Volume 18, Issue 1, Pages 49–71
DOI: https://doi.org/10.17537/2023.18.49
(Mi mbb508)
 

This article is cited in 3 scientific papers (total in 3 papers)

Mathematical Modeling

Numerical modelling of myocardial infarction. I. Analysis of spatiotemporal aspects of the local inflammatory response

O. F. Voropaevaa, Ch. A. Tsgoevab

a Institute of Computational Technologies, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
References:
Abstract: The results of numerical modelling of the necrotic death of myocardial cells and immune response dynamics in type II ischemic infarction are presented. The initial conditions were consistent with the experimental data. The adopted minimal mathematical model focused on the balance of pro- and anti-inflammatory factors of aseptic inflammation and their influence on the process of cardiomyocyte death. The issue of the formation of nonlinear dynamic structures in the adopted reaction-diffusion system of equations in the absence of convective terms has been examined. It is shown that a stable localization of the solution of the initialboundary value problem within the spatial region of practically unchanged size is observed in a fairly wide range of parameters of the initial conditions set in the form of bell-shaped finite functions.
Qualitative properties of solutions allow biological interpretation. Within the framework of the adopted model, we considered several important examples and, on this basis, described a typical scenario of a heart attack with a favorable outcome. We have studied the most general patterns of the formation of demarcation inflammation near a large necrosis focus in a typical acute infarction scenario, taking into account individual differences in the topology of the coronary vascular network and the topography of the infarction. The adequacy of the results is confirmed by quantitative and qualitative agreement with a fairly wide range of experimental data on the dynamics of infarction in the left ventricle of the mouse heart.
Key words: mathematical model, reaction-diffusion equations, method of fractional steps, acute myocardial infarction, local injury, biochemistry, cardiomyocytes, cytokines, macrophages, demarcation inflammation, structures.
Received 27.01.2023, 25.02.2023, Published 02.03.2023
Document Type: Article
Language: Russian
Citation: O. F. Voropaeva, Ch. A. Tsgoev, “Numerical modelling of myocardial infarction. I. Analysis of spatiotemporal aspects of the local inflammatory response”, Mat. Biolog. Bioinform., 18:1 (2023), 49–71
Citation in format AMSBIB
\Bibitem{VorTsg23}
\by O.~F.~Voropaeva, Ch.~A.~Tsgoev
\paper Numerical modelling of myocardial infarction. I.~Analysis of spatiotemporal aspects of the local inflammatory response
\jour Mat. Biolog. Bioinform.
\yr 2023
\vol 18
\issue 1
\pages 49--71
\mathnet{http://mi.mathnet.ru/mbb508}
\crossref{https://doi.org/10.17537/2023.18.49}
Linking options:
  • https://www.mathnet.ru/eng/mbb508
  • https://www.mathnet.ru/eng/mbb/v18/i1/p49
    Cycle of papers
    This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024