Parameters identification for a model of T cell homeostasis.
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 up-regulation 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.
IMB UMR CNRS 5251, Bordeaux University, 3 Place de la Victoire, 33076 Bordeaux Cedex, France. houssein.ayoub@gmail.com.
Houssein
H
Ayoub
Bedreddine
B
Ainseba
Michel
M
Langlais
Rodolphe
R
Thiébaut
D019264:Adoptive Transfer; D000465:Algorithms; D000818:Animals; D002455:Cell Division; D049109:Cell Proliferation; D003198:Computer Simulation; D005434:Flow Cytometry; D006706:Homeostasis; D018960:Hyaluronan Receptors / Q000378:metabolism; D051379:Mice; D008954:Models, Biological; D017711:Nonlinear Dynamics; D013601:T-Lymphocytes / Q000166:cytology* / Q000276:immunology*
C497483:CD44 protein, human; D018960:Hyaluronan Receptors