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Nonlinear Modeling Of The Aids Virus Genetic Sequence Evolution

Author

Listed:
  • 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)

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.

Suggested Citation

  • G. Cocho & A. Gelover-Santiago & G. Martinez-Mekler & A. Rodin, 1994. "Nonlinear Modeling Of The Aids Virus Genetic Sequence Evolution," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 5(02), pages 321-324.
  • Handle: RePEc:wsi:ijmpcx:v:05:y:1994:i:02:n:s0129183194000404
    DOI: 10.1142/S0129183194000404
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