Modeling the interaction of cytotoxic T lymphocytes and influenza virus infected epithelial cells
type: Item
instance of: scholarly article
title: Modeling the interaction of cytotoxic T lymphocytes and influenza virus infected epithelial cells
zbMATH Open document ID: 1192.92026
author: Abdessamad Tridane
author: Yang Kuang
published in: Mathematical Biosciences and Engineering
publication date: 2010-04-15T00:00:00Z
review text: The authors investigate the mechanisms involved in the clearance of viral infections of the influenza virus at the epithelium level by modeling and analyzing the interactions of the influenza virus specific cytotoxic T lymphocytes (CTL cells) and the influenza virus infected epithelial cells. Since detailed and definite mechanisms that trigger CTL production and cell death are still debatable, they utilize two plausible mathematical models for the CTLs responses to influenza infection: (i) logistic growth and (ii) threshold growth. These models incorporate the stimulating effect of the production of CTLs during the infection. Systematic analysis of these models shows that the behaviors of the models are similar when CTL density is high and in which case both generate reasonable dynamics. However, both models failed to produce a desirable and natural clearance dynamics. Nevertheless, at lower CTL density, the threshold model shows the possibility of existence of a ``lower'' equilibrium. This sub-threshold equilibrium may represent dose-dependent immune response to low level infections. Analytical results are supported by numerical simulations.
Mathematics Subject Classification ID: 92C50
Mathematics Subject Classification ID: 92C37
Mathematics Subject Classification ID: 34K60
Mathematics Subject Classification ID: 65C20
zbMATH DE Number: 5693119
zbMATH Keywords: immune response
Wikidata QID: Q44935835
reviewed by: J. Michel Tchuenche
MaRDI profile type: Publication
full work available at URL: mbe.2010.7.171
OpenAlex ID: W2068533195
DOI: 10.3934/MBE.2010.7.171
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description: scientific article; zbMATH DE number 5693119