Parameters identification for a model of T cell homeostasis

Houssein Ayoub (1) , Bedreddine Ainseba (1) , Michel Langlais (1) , Rodolphe Thiébaut (2, 3)

1 IMB - Institut de Mathématiques de Bordeaux
2 SISTM - Statistics In System biology and Translational Medicine
3 Epidémiologie et Biostatistique [Bordeaux]

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.

Mots clés: and phrases; cd44; parameters; partial differential equations; t cell homeostasis

Domaines: Santé publique et épidémiologie

Houssein Ayoub, Bedreddine Ainseba, Michel Langlais, Rodolphe Thiébaut. Parameters identification for a model of T cell homeostasis. Mathematical Biosciences and Engineering, 2015, 12 (5), pp.917--936. ⟨10.3934/mbe.2015.12.917⟩. ⟨hal-01164668⟩