Parameter identification for model of T cell proliferation in Lymphopenia conditions

Houssein Ayoub, B. E. Ainseba, M. Langlais, T. Hogan, R. Callard, B. Seddon, R. Thiébaut

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The number of T Lymphocytes (T cells) in the body is under homeostatic control. At equilibrium, the majority of naive T cells are non-dividing and express low levels of the surface protein CD44. In conditions of T cell deficiency (lymphopenia), naive T cells enter into a proliferative phase, undergoing cell division accompanied by a subtle change in their surface expression of CD44. In this study, we use a mathematical modelling approach to analyse the proliferative response of transgenic T cells in lymphopenic conditions. Our nonlinear model is composed of ordinary differential equations and partial differential equations structured by age (maturity of cell) and CD44 expression. To better understand the evolution of CD44 expression on the surface of T cells during cell division, we present a numerical analysis to solve a parameter identification problem. Finally, we show the parameters and the simulations that we obtain from the model and compare them to experimental data.

Original languageEnglish
Pages (from-to)63-71
Number of pages9
JournalMathematical Biosciences
Volume251
Issue number1
DOIs
Publication statusPublished - 1 Jan 2014
Externally publishedYes

Fingerprint

Lymphopenia
T-cells
Cell Proliferation
Cell proliferation
Parameter Identification
cell proliferation
Identification (control systems)
T-lymphocytes
T-Lymphocytes
Cell Division
cell division
Model
T Lymphocytes
Cells
Identification Problem
Nonlinear Dynamics
Mathematical Modeling
surface proteins
nonlinear models
Nonlinear Model

Keywords

  • CD44
  • Lymphopenia
  • Parameters identification
  • Partial differential equations
  • T cells

ASJC Scopus subject areas

  • Statistics and Probability
  • Medicine(all)
  • Modelling and Simulation
  • Immunology and Microbiology(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Agricultural and Biological Sciences(all)
  • Applied Mathematics

Cite this

Ayoub, H., Ainseba, B. E., Langlais, M., Hogan, T., Callard, R., Seddon, B., & Thiébaut, R. (2014). Parameter identification for model of T cell proliferation in Lymphopenia conditions. Mathematical Biosciences, 251(1), 63-71. https://doi.org/10.1016/j.mbs.2014.03.002

Parameter identification for model of T cell proliferation in Lymphopenia conditions. / Ayoub, Houssein; Ainseba, B. E.; Langlais, M.; Hogan, T.; Callard, R.; Seddon, B.; Thiébaut, R.

In: Mathematical Biosciences, Vol. 251, No. 1, 01.01.2014, p. 63-71.

Research output: Contribution to journalArticle

Ayoub, H, Ainseba, BE, Langlais, M, Hogan, T, Callard, R, Seddon, B & Thiébaut, R 2014, 'Parameter identification for model of T cell proliferation in Lymphopenia conditions', Mathematical Biosciences, vol. 251, no. 1, pp. 63-71. https://doi.org/10.1016/j.mbs.2014.03.002
Ayoub, Houssein ; Ainseba, B. E. ; Langlais, M. ; Hogan, T. ; Callard, R. ; Seddon, B. ; Thiébaut, R. / Parameter identification for model of T cell proliferation in Lymphopenia conditions. In: Mathematical Biosciences. 2014 ; Vol. 251, No. 1. pp. 63-71.
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