Infection spreading in tissue as a reaction-diffusion wave.
reaction-diffusion model
time delay
viral infection
wave existence
Journal
Mathematical medicine and biology : a journal of the IMA
ISSN: 1477-8602
Titre abrégé: Math Med Biol
Pays: England
ID NLM: 101182345
Informations de publication
Date de publication:
16 Jul 2024
16 Jul 2024
Historique:
received:
30
04
2023
revised:
21
04
2024
accepted:
10
07
2024
medline:
16
7
2024
pubmed:
16
7
2024
entrez:
16
7
2024
Statut:
aheadofprint
Résumé
Viral infection develops in the organism due to virus replication inside infected cells and its transmission from infected to uninfected cells through the extracellular matrix or cell junctions. In this work, we model infection spreading in tissue with a delay reaction-diffusion system of equations for the concentrations of uninfected cells, infected cells and virus. We prove the wave existence, determine its speed of propagation and introduce a simplified one-equation model obtained from the complete model using a quasi-stationary approximation.
Identifiants
pubmed: 39010312
pii: 7713939
doi: 10.1093/imammb/dqae009
pii:
doi:
Types de publication
Journal Article
Langues
eng
Sous-ensembles de citation
IM
Informations de copyright
© The Author(s) 2024. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.