Heterogeneity of the spatial distribution of the primordial organic substance as an initial stage of biological evolution

Abstract

An approach to describe the emergence of the primordial evolving system has been developed. The dynamics of polymerization/depolymerization of some spatially distributed prebiological structures has been analyzed, and two phases of the development of the system have been identified. In the first phase, the polymerization of organic monomers occurs by the influence of external factors, and in the second one depolymerization takes place. Both processes are accompanied by "diffuse mixing" of reaction products. The dynamic equations of the system are presented. The numerical examination of the space nonuniform solution of model equations has shown that, in conditions of low stability of uniform space distribution, these solutions resolve into a number of discrete peaks of non-zero density, which are isolated from each other by free space. Such nonuniform distributions are stable when being close to the bifurcation point; yet in other conditions, they can lose their stability, which entails a more pronounced nonuniformity of space dynamics. Thus, interaction of polymerization/depolymerization processes results in the chaotic self-organization and leads to the origination of complex and nomhomogeneous (putchy) spatial structures. These structures can reflect the emergency of the spatial nonuniformity in primordial associations, in physical space, in the distributive space of characters can correspond to the initial steps of individualization of the first discrete domains fixed in the biological evolution.