NONLINEAR MODELING OF THE AIDS VIRUS GENETIC SEQUENCE EVOLUTION

G. Cocho, A. Gelover-Santiago, G. Martinez-Mekler and A. Rodin
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G. Cocho: Instituto de Física, Universidad Nacional Autónoma de México Apdo. Postal 20–364, 01000 México, D.F., México
A. Gelover-Santiago: Instituto de Física, Universidad Nacional Autónoma de México Apdo. Postal 20–364, 01000 México, D.F., México
G. Martinez-Mekler: Instituto de Física, Universidad Nacional Autónoma de México Apdo. Postal 20–364, 01000 México, D.F., México
A. Rodin: Instituto de Física, Universidad Nacional Autónoma de México Apdo. Postal 20–364, 01000 México, D.F., México

International Journal of Modern Physics C (IJMPC), 1994, vol. 05, issue 02, 321-324

Abstract: A network of coupled maps is introduced to model the evolution of the genetic sequence of the HIV1 AIDS virus. Within a space of RNA chemical composition, short range interactions correspond to mutations. Ecological constraints generate long range couplings. The resulting equations are of a reaction-diffusion type. Quasi-species with an error threshold emerge from the model dynamics. Predictions relating chemical composition regularity properties with the variability of the HIV RNA sequence agree with a statistical analysis from gene data banks. The model suggests a clue for an alternative therapeutical treatment.

Date: 1994
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DOI: 10.1142/S0129183194000404

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