Parameters identification for a model of T cell homeostasis | Zendy

R. Thiébaut | Zendy; M. Langlais | Zendy; Bedr’Eddine Aïnseba | Zendy; Houssein H. Ayoub | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Parameters identification for a model of T cell homeostasis

Author(s) -

R. Thiébaut,

M. Langlais,

Bedr’Eddine Aïnseba,

Houssein H. Ayoub

Publication year - 2015

Publication title -

mathematical biosciences and engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.451

H-Index - 45

eISSN - 1551-0018

pISSN - 1547-1063

DOI - 10.3934/mbe.2015.12.917

Subject(s) - identifiability , identification (biology) , nonlinear model , computer science , nonlinear system , cd44 , mathematics , biology , cell , machine learning , physics , genetics , botany , quantum mechanics

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.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research