Numéro
J. Phys. I France
Volume 1, Numéro 12, December 1991
Page(s) 1709 - 1713
DOI https://doi.org/10.1051/jp1:1991228
DOI: 10.1051/jp1:1991228
J. Phys. I France 1 (1991) 1709-1713

On a discrete approach to cell dynamics in context to immune response against HIV

R. B. Pandey

Department of Physics and Astronomy, University of Southern Mississippi, Hattiesburg, MS 39406-5046, U.S.A.


(Received 23 August 1991, accepted in final form 2 September 1991)

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 "immunocompetence" and "immunodeficiency") 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 $p_{\rm c}$.



© Les Editions de Physique 1991

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.