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Sibirskii Zhurnal Industrial'noi Matematiki, 2020, Volume 23, Number 4, Pages 30–47
DOI: https://doi.org/10.33048/SIBJIM.2020.23.403 (Mi sjim1107) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Mathematical model of the aseptic inflammation dynamics

O. F. Voropaevaa, T. V. Bayadilovba

a Federal Research Center for Information and Computational Technologies, pr. Acad. Lavrentyeva 6, Novosibirsk 630090, Russia
b Novosibirsk State University, ul. Pirogova 1, Novosibirsk 630090, Russia
Full-text PDF (1060 kB) Citations (3)
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DOI: https://doi.org/10.33048/SIBJIM.2020.23.403
Abstract: We present a new mathematical model of the aseptic inflammation dynamics. The adequacy of the model is confirmed by a qualitative and quantitative agreement with the laboratory data on the dynamics of the inflammatory process factors in the central zone of wound damage. We show that the model adequately describes not only the classical version of this process but also the available scenarios of acute and chronic inflammatory processes in aseptic cutaneous wound accompanied by the most common dysfunctions of blood cells or its cellular composition.
Keywords: aseptic inflammation, excision wound, mathematical model, sensitivity, leukocyte, cytokine, efferocytosis, thrombocythemia, thrombocytopenia, leukopenia, aplastic anemia. .
Received: 13.04.2020
Revised: 09.07.2020
Accepted: 10.09.2020
English version:
Journal of Applied and Industrial Mathematics, 2020, Volume 14, Issue 4, Pages 779–791
DOI: https://doi.org/10.1134/S1990478920040158
Bibliographic databases:
Document Type: Article
UDC: 519.6:51.76
Language: Russian
Citation: O. F. Voropaeva, T. V. Bayadilov, “Mathematical model of the aseptic inflammation dynamics”, Sib. Zh. Ind. Mat., 23:4 (2020), 30–47; J. Appl. Industr. Math., 14:4 (2020), 779–791
Citation in format AMSBIB
\Bibitem{VorBay20}
\by O.~F.~Voropaeva, T.~V.~Bayadilov
\paper Mathematical model of the aseptic inflammation dynamics
\jour Sib. Zh. Ind. Mat.
\yr 2020
\vol 23
\issue 4
\pages 30--47
\mathnet{http://mi.mathnet.ru/sjim1107}
\crossref{https://doi.org/10.33048/SIBJIM.2020.23.403}
\elib{https://elibrary.ru/item.asp?id=44962237}
\transl
\jour J. Appl. Industr. Math.
\yr 2020
\vol 14
\issue 4
\pages 779--791
\crossref{https://doi.org/10.1134/S1990478920040158}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85100296782}
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  • https://www.mathnet.ru/eng/sjim1107
  • https://www.mathnet.ru/eng/sjim/v23/i4/p30
    • This publication is cited in the following 3 articles:
    1. O.F. Voropaeva, Proceedings of the International Conference “Mathematical Biology and Bioinformatics”, 10, Proceedings of the International Conference “Mathematical Biology and Bioinformatics”, 2024  crossref
    2. Daniel V. Olivença, Jacob D. Davis, Carla M. Kumbale, Conan Y. Zhao, Samuel P. Brown, Nael A. McCarty, Eberhard O. Voit, “Mathematical models of cystic fibrosis as a systemic disease”, WIREs Mechanisms of Disease, 15:6 (2023)  crossref
    3. T. S. Mikhakhanova, O. F. Voropaeva, “Triggernaya model dinamiki ostrogo i khronicheskogo asepticheskogo vospaleniya”, Matem. biologiya i bioinform., 17:2 (2022), 266–288  mathnet  crossref  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал индустриальной математики
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