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Parameters identification for a model of T cell homeostasis

Houssein Ayoub Bedreddine Ainseba Michel Langlais Rodolphe Thiébaut

*Corresponding author:  

MBE2015,5,917doi:10.3934/mbe.2015.12.917

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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Article URL   http://www.aimspress.com/MBE/article/2324.html
Article ID   1551-0018_2015_5_917
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