title: [Critical levels for models of the stable allometric development of biological systems. 1. The modeling of the critical levels].
abstract: To describe the development of biological systems, the law of allometric growth is widely used but the limits of its applicability, which determine the transition to a qualitatively new stage of development, are still established by the morphological and functional characteristics only. The differential equation of the allometric law is generalized by taking into account the influence of prehistory of the system development on its growth rate. As a result of study of the equation obtained, the limits of system development under the allometric law were established: ratio between the initial and final values of the argument is constant and equal to ee = 15.15... This result reveals a critical ratio between the system parameters, typical of the developmental periods described by power functions. The importance of the ratio obtained should be examined on the basis of detailed analysis of experimental data on the processes of allometric development.
mesh_terms: D006128:Growth; D008433:Mathematics; D008954:Models, Biological; D009024:Morphogenesis; D013598:Systems Theory
vernacular_title: Kriticheskie urovni modeleĭ ustoĭchivogo allometricheskogo razvitiia biologicheskikh sistem. 1. Modelirovanie kriticheskikh urovneĭ.