Zhuravlev Iu N, Tuzinkevich A V, Frisman E Ia
Biofizika. 2011 Jan-Feb;56(1):143-9.
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.
一种描述原始进化系统出现的方法已经被开发出来。分析了一些空间分布的前生物结构的聚合/解聚动力学,并确定了系统发展的两个阶段。在第一阶段,有机单体的聚合是由外部因素的影响引起的,而在第二阶段则发生解聚。这两个过程都伴随着反应产物的“扩散混合”。给出了系统的动力学方程。对模型方程的空间非均匀解的数值检验表明,在均匀空间分布稳定性较低的条件下,这些解分解为一些非零密度的离散峰,它们被自由空间相互隔离。这种非均匀分布在接近分岔点时是稳定的;然而在其他条件下,它们可能会失去稳定性,这会导致空间动力学更加明显的非均匀性。因此,聚合/解聚过程的相互作用导致了混沌自组织,并导致了复杂和非均匀(斑块状)空间结构的产生。这些结构可以反映原始关联中空间非均匀性的出现,在物理空间中,在特征的分布空间中可以对应于生物进化中固定的第一个离散域个体化的初始步骤。