Title

On a Discrete Approach to Cell Dynamics in Context to Immune Response Against HIV

Document Type

Article

Publication Date

12-1-1991

Department

Physics and Astronomy

Abstract

A network model of interacting cellular elements, such as macrophages, viruses, T4 cells, and T8 cells, is introduced to study the evolution of cell population in an early HIV infection in a cell mediated response. The mean field treatment leads to two fixed points (describing <> and <>) and a limit cycle in infected states of period two. Using a cellular automata rule for the nearest neighbour interaction, the growth of the cellular population is studied as a function of their initial concentration p ; on increasing p, a crossover from an immunodeficient to an immunocompetent state occurs at a characteristic value p(c).

Publication Title

Journal de Physique I

Volume

1

Issue

12

First Page

1709

Last Page

1713