Parameters identification for a model of T cell homeostasis

Abstract : 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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https://hal.archives-ouvertes.fr/hal-01164668
Contributor : Rodolphe Thiebaut <>
Submitted on : Wednesday, June 17, 2015 - 2:49:16 PM
Last modification on : Thursday, February 7, 2019 - 4:33:09 PM

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

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