Parameters identification for a modelof t cell homeostasis

Houssein Ayoub, Bedreddine Ainseba, Michel Langlais, Rodolphe Thiébaut

Research output: Contribution to journalArticle

Abstract

In this study, we consider a model of T cell homeostasis based on the Smith-Martin model. This nonlinear model is structured by age and CD44 expression. First, we establish the mathematical well-posedness of the model system. Next, we prove the theoretical identifiability regarding the upregulation of CD44, the proliferation time phase and the rate of entry into division, by using the experimental data. Finally, we compare two versions of the Smith-Martin model and we identify which model fits the experimental data best.

Original languageEnglish
Pages (from-to)917-936
Number of pages20
JournalMathematical Biosciences and Engineering
Volume12
Issue number5
DOIs
Publication statusPublished - 1 Jan 2015
Externally publishedYes

Fingerprint

Homeostasis
Nonlinear Dynamics
Parameter Identification
T-cells
homeostasis
Identification (control systems)
Theoretical Models
Up-Regulation
T-Lymphocytes
cells
Experimental Data
Model
Identifiability
nonlinear models
Proliferation
Well-posedness
Nonlinear Model
Division
T-lymphocytes

Keywords

  • CD44
  • Parameters identification
  • Partial differential equations
  • T Cell homeostasis

ASJC Scopus subject areas

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

Cite this

Parameters identification for a modelof t cell homeostasis. / Ayoub, Houssein; Ainseba, Bedreddine; Langlais, Michel; Thiébaut, Rodolphe.

In: Mathematical Biosciences and Engineering, Vol. 12, No. 5, 01.01.2015, p. 917-936.

Research output: Contribution to journalArticle

Ayoub, Houssein ; Ainseba, Bedreddine ; Langlais, Michel ; Thiébaut, Rodolphe. / Parameters identification for a modelof t cell homeostasis. In: Mathematical Biosciences and Engineering. 2015 ; Vol. 12, No. 5. pp. 917-936.
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