PROBABILISTIC CELLULAR-AUTOMATON DESCRIBING A BIOLOGICAL IMMUNE-SYSTEM

Authors
TOME T DEFELICIO JRD
Citation
T. Tome et Jrd. Defelicio, PROBABILISTIC CELLULAR-AUTOMATON DESCRIBING A BIOLOGICAL IMMUNE-SYSTEM, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 53(4), 1996, pp. 3976-3981
Citations number
20
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
53
Issue
4
Year of publication
1996
Part
B
Pages
3976 - 3981
Database
ISI
SICI code
1063-651X(1996)53:4<3976:PCDABI>2.0.ZU;2-3
Abstract
We have analyzed a probabilistic cellular automaton to describe the T- helper cells response under parasitic infections. The evolution rules are of totalistic type and possess ''up-down'' symmetry. The automaton displays a dynamical phase transition, from a disordered state to an ordered one, which takes place through a spontaneous symmetry breaking . In the ordered phase, one type of T-helper cells predominates over t he others. The phase transition was studied both by a pair approximati on and by Monte Carlo simulations. In addition, we were able to obtain some exact results for the densities of T-helper cells.