MODELING GENETIC EVOLUTION WITH COUPLED MAP LATTICES

Abstract

The evolution of genetic sequences, in particular the case of retro-virus as encountered in AIDS, is analyzed by means of a coupled Map lattice model. Mutations are introduced as coupling terms and several ecological constraints are considered. The resulting equations are of the reaction-diffusion type. The model establishes an evolution fitness criteria in terms of dynamical and structural properties at the molecular level. Under a global ecological constraint, the model dynamics generates quasi-species and presents an error threshold. Qualitative predictions regarding the AIDS vims RNA stability under mutations are corroborated experimentally.