AN AGE-STRUCTURED MODEL FOR T CELL HOMEOSTASIS IN VIVO

作者：Ainseba Bedr'Eddine^*; Ayoub Houssein; Langlais Michel

来源：SIAM Journal on Applied Mathematics, 2014, 74(5): 1463-1485.

DOI：10.1137/130949610

• T cell homeostasis
• structured populations
• nonlinear dynamical systems
• global asymptotic stability

In this study, we consider a model of T cell proliferation in vivo which is structured by age and CD44 expression. This model is rewritten as an age-structured model system without the CD44 structure, and we investigate its asymptotic behavior. We find that there exists one or three stationary solutions when cells undergo at least five divisions and only one stationary solution when cells undergo at most three divisions. The limiting case with four divisions is numerically handled. By applying the Lyapunov method, we prove that the stationary solution is globally asymptotically stable in some regions of parameter space.

• 出版日期2014