title: Parameter identification for model of T cell proliferation in lymphopenia conditions.
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.
authors.affiliation: IMB UMR CNRS 5251, Bordeaux University, 3 Place de la Victoire, 33076 Bordeaux Cedex, France. Electronic address: houssein.ayoub@gmail.com.
authors.forename: H
authors.initials: H
authors.lastname: Ayoub
authors.affiliation: IMB UMR CNRS 5251, Bordeaux University, 3 Place de la Victoire, 33076 Bordeaux Cedex, France.
authors.forename: B E
authors.initials: BE
authors.lastname: Ainseba
authors.affiliation: IMB UMR CNRS 5251, Bordeaux University, 3 Place de la Victoire, 33076 Bordeaux Cedex, France.
authors.forename: M
authors.initials: M
authors.lastname: Langlais
authors.affiliation: Institute of Child Health, University College London, 30 Guilford Street, London WC1N, UK.
authors.forename: T
authors.initials: T
authors.lastname: Hogan
authors.affiliation: Institute of Child Health, University College London, 30 Guilford Street, London WC1N, UK.
authors.forename: R
authors.initials: R
authors.lastname: Callard
authors.affiliation: Division of Immune Cell Biology, MRC National Institute for Medical Research, Mill Hill, London NW7 1AA, UK.
authors.forename: B
authors.initials: B
authors.lastname: Seddon
authors.affiliation: INSERM U897, ISPED, Bordeaux University, Bordeaux, France.
authors.forename: R
authors.initials: R
authors.lastname: Thiébaut
mesh_terms: D000465:Algorithms; D000818:Animals; D002453:Cell Cycle; D049109:Cell Proliferation; D016654:Genes, RAG-1; D018960:Hyaluronan Receptors / Q000378:metabolism; D008231:Lymphopenia / Q000276:immunology* / Q000473:pathology*; D055641:Mathematical Concepts; D051379:Mice; D018345:Mice, Knockout; D018448:Models, Immunological; D017711:Nonlinear Dynamics; D013269:Stochastic Processes; D013601:T-Lymphocytes / Q000276:immunology* / Q000473:pathology*
chemical_list: C476399:Cd44 protein, mouse; D018960:Hyaluronan Receptors
keywords: CD44; Lymphopenia; Parameters identification; Partial differential equations; T cells