Affiliation:
1. University of Science and Technology Beijing, School of Mathematics and Physcis, Department of Applied Mathematics, Beijing, P. R. China
2. University of Science and Technology Beijing, School of Materials Science and Engineering, Beijing, P. R. China
Abstract
In this paper, based on some biological meaning, triple-negative T cells
(TN) and the immature single-positive T cells (CD3-4+8- and CD3-4-8+)
have been introduced into well known Mehr?s nonlinear dynamic model which is
used to describe proliferation, differentiation and death of T cells in the
thymus (Modeling positive and negative selection and differentiation
processes in the thymus, Journal of Theoretical Biology, 175 (1995)
103-126), and a class of improved nonlinear dynamic model with seven state
variables and time delays has been proposed. Then, by using
quasi-steady-state approximation and some classical analysis techniques of
functional differential equations, the local and global stability of the
equilibrium of the model have been analysed. Finally, some numerical
simulations are given to summarize the applications of the theoretical
results.
Publisher
National Library of Serbia
Cited by
2 articles.
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