Mathematical Biosciences and Engineering, 2015, 12(5): 917-936. doi: 10.3934/mbe.2015.12.917

Primary: 92B05, 58J45; Secondary: 93B30.

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Parameters identification for a model of T cell homeostasis

Houssein Ayoub, Bedreddine Ainseba, Michel Langlais, Rodolphe Thiébaut

1. IMB UMR CNRS 5251, Bordeaux University, 3 Place de la Victoire, 33076 Bordeaux Cedex
2. INSERM U897, ISPED, Bordeaux University, Bordeaux

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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.
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