Parameters identification for a model of T cell homeostasis
THIÉBAUT, Rodolphe
Statistics In System biology and Translational Medicine [SISTM]
Epidémiologie et Biostatistique [Bordeaux]
< Reduce
Statistics In System biology and Translational Medicine [SISTM]
Epidémiologie et Biostatistique [Bordeaux]
Language
en
Article de revue
This item was published in
Mathematical Biosciences and Engineering. 2015, vol. 12, n° 5, p. 917--936
AIMS Press
English 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 ...Read more >
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.Read less <
English Keywords
and phrases
cd44
parameters
partial differential equations
t cell homeostasis
Origin
Hal imported