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Updated: Feb 10, 2026

Evolution of Staircase Structures in Diffusive Convection
Published on: September 5, 2018
Mechanisms of directed evolution of morphological structures and the problems of morphogenesis
Alexey V Melkikh1, Andrei Khrennikov2
1Ural Federal University, Yekaterinburg, 620002, Mira str. 19, Russia.
Abstract:
Morphogenesis mechanisms are considered from the point of view of complexity. It has been shown that the presence of long-range interactions between biologically important molecules is a necessary condition for the formation and stable operation of morphological structures. A quantum model of morphogenesis based on non-Archimedean analysis and the presence of long-range interactions between biologically important molecules has been constructed. This model shows that the evolution of morphological structures essentially depends on the availability of a priori information on these structures. Critical steps in evolution related to the most important morphological and behavioral findings have been analyzed; the results have shown that the implementation of such steps can only be explained within the framework of a partially directed evolution. Thus, the previously proposed model for a partially directed evolution is established for modeling the evolution of morphological structures.
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