Modeling the interaction of cytotoxic t lymphocytes and influenza virus infected epithelial cells

Abdessamad Tridane, Yang Kuang

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

The aim of this work is to investigate the mechanisms involved in the clearance of viral infection of the influenza virus at the epithelium level by modeling and analyzing the interaction of the influenza virus specific cytotoxi 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, we utilize two plausible mathematical models for the CTLs response to influenza infection (i) logistic growth and (ii) threshold growth. These models incorporate the simulating effect of the production of CTLs during the infection. The systematical analysis of these models show 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 the desirable and natural clearance dynamic. 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 infection.

Original languageEnglish (US)
Pages (from-to)171-185
Number of pages15
JournalMathematical Biosciences and Engineering
Volume7
Issue number1
DOIs
StatePublished - Jan 2010

Fingerprint

T Lymphocytes
Lymphocytes
Influenza
Orthomyxoviridae
Viruses
Virus
Infection
epithelial cells
lymphocytes
Epithelial Cells
Cell
Clearance
Interaction
Modeling
Virus Diseases
Growth
Logistic Growth
infection
Threshold Model
Human Influenza

Keywords

  • Cytotoxic T lymphocytes
  • Immune response
  • Influenza virus
  • Mathematical model

ASJC Scopus subject areas

  • Applied Mathematics
  • Modeling and Simulation
  • Computational Mathematics
  • Agricultural and Biological Sciences(all)
  • Medicine(all)

Cite this

Modeling the interaction of cytotoxic t lymphocytes and influenza virus infected epithelial cells. / Tridane, Abdessamad; Kuang, Yang.

In: Mathematical Biosciences and Engineering, Vol. 7, No. 1, 01.2010, p. 171-185.

Research output: Contribution to journalArticle

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