Computer simulation of a cellular automata model for the immune response in a retrovirus system
Immune response in a retrovirus system is modeled by a network of three binary cell elements to take into account some of the main functional features of T4 cells, T8 cells, and viruses. Two different intercell interactions are introduced, one of which leads to three fixed points while the other yields bistable fixed points oscillating between a healthy state and a sick state in a mean field treatment. Evolution of these cells is studied for quenched and annealed random interactions on a simple cubic lattice with a nearest neighbor interaction using inhomogenous cellular automata. Populations of T4 cells and viral cells oscillate together with damping (with constant amplitude) for annealed (quenched) interaction on increasing the value of mixing probability B from zero to a characteristic value B/sub ca/ (B/sub cq/). For higher B, the average number of T4 cells increases while that of the viral infected cells decreases monotonically on increasing B, suggesting a phase transition at B/sub ca/ (B/sub cq/).
- Research Organization:
- Cologne Univ. (Germany, F.R.)
- OSTI ID:
- 5627022
- Journal Information:
- J. Stat. Phys.; (United States), Vol. 54:3-4
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
GENERAL PHYSICS
IMMUNE REACTIONS
COMPUTERIZED SIMULATION
AIDS VIRUS
ANIMAL CELLS
CUBIC LATTICES
GROWTH
IMMUNOLOGY
INTERACTIONS
LYMPHOCYTES
MATHEMATICAL MODELS
ORDER PARAMETERS
OSCILLATIONS
PHASE TRANSFORMATIONS
PROBABILITY
RESPONSE FUNCTIONS
STATISTICAL MECHANICS
BIOLOGICAL MATERIALS
BLOOD
BLOOD CELLS
BODY FLUIDS
CONNECTIVE TISSUE CELLS
CRYSTAL LATTICES
CRYSTAL STRUCTURE
FUNCTIONS
LEUKOCYTES
MATERIALS
MECHANICS
MICROORGANISMS
PARASITES
SIMULATION
SOMATIC CELLS
VIRUSES
657002* - Theoretical & Mathematical Physics- Classical & Quantum Mechanics