Zhuravlev Yu.N., Tuzinkevich A.V., Frisman E.Ya.
В журнале Ecological Modelling
Год: 2008 Том: 212 Страницы: 536–544
An approach to describe the emergence of the primordial evolving system is presented. Dynamics of polymerization/depolymerization of some spatially distributed pre-biological structures is analyzed and two phases of system development are supposed. The external factors induce polymerization of organic monomers in the ?rst phase and depolymerization in the second one, both processes are accompanied with diffuse mixing of products of reac- tions. During the mixing, the aggregation of polymers and disintegration of aggregates are considered to be a result of speci?c interconnections between polymers. Dynamic equations of system are presented. Numerical examination of model equations has shown that, under initial conditions of almost uniform distribution (slightly periodically disturbed), a typical non-uniform solution is represented by a number of discrete peaks of non-zero density which are separated from each other by free space. Such non-uniform distributions are stable when being close to the bifurcation point, yet, in other conditions, they can lose their stability that entails more pronounced non-uniformity of space dynamics. Thus, the interaction of polymerization/depolymerization and aggregation/disintegration processes results in the chaotic self-organization and invokes formation of complex and non-homogeneous (patchy) spatial structures. Dynamics of these structures can re?ect the emergency of the spatial non-uniformity in primordial prebiotic realm, in physical space, and in the distributive space of characters; as well as can correspond to the initial steps of individualization of the ?rst discrete entities ?xed later in the biological evolution.
