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International Journal of Computer Mathematics Volume 101, 2024 - Issue 6
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Research Article

Theoretical and numerical study of a skeletal muscle regeneration model with inflammatory response

Jesus I. Ruiz-Bolañosa CIMAT, Guanajuato Gto, MéxicoView further author information
,
Hristo V. Kojouharovb Department of Mathematics, University of Texas at Arlington, Arlington, TX, USAORCID Iconhttps://orcid.org/0000-0002-5638-5427View further author information
ORCID Icon &
Francisco J. Solisa CIMAT, Guanajuato Gto, MéxicoCorrespondence[email protected]
View further author information
Pages 636-652 | Received 19 Jan 2022, Accepted 27 May 2024, Published online: 04 Jun 2024
 
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Abstract

A mathematical model of skeletal muscle regeneration for immune-muscular cell interactions with a pro-inflammatory mediator is introduced and analyzed. The model is a multi-scale problem with discontinuities and numerically stiff. Thus, a nonstandard parametric stability analysis of the equilibria is carried out in order to investigate the potential muscular regeneration and the inflammation resolution.

2020 Mathematics Subject Classifications:

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported by Mexico CONACyT project CB2016-286437.

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