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[Mechano-geometric generative rules of morphogenesis]
Abstract
The ideographical approach aimed at detecting specific causative relationships within the process of development prevails in modern embryology. The present work considers the possibilities of using the nomothetic approach aimed at putting forward nonspecific general laws based on the general scientific theory of self-organization and can be formulated in morphomechanical terms based on feedback links between passive and active mechanical stress. The perspectives of this approach and the involvement of genetic factors in the regulation of feedback links are discussed.
... This was first discovered in the first quarter of the 20th century by A.G. Gurvich, who even created a special bio field theory to explain this phe nomenon and developed a mathematical model of morphogenesis based on this theory [37]. The follower of this theory is L.V. Belousov, embryologist, professor of Moscow State University [38]. However, this concept has not received universal acceptance, despite the fact that, for example, histological studies by Tambovtseva [15], as well as Japanese [39] and Sweden [40] authors, strongly confirmed the different quality of the charac teristics of skeletal muscle fibers of the same type depending on their location in the whole muscle struc ture. ...
The article is an attempt of a theoretical analysis of the most important physiological laws of ontogeny and their applicability to the process of adaptation to physical exercise as a result of sports training. The hypothesis of this analysis is that the basic physiological principles (laws) of the organism development can be used in the construction of sports training. Indeed, for the long-term adaptation are important principles of heterochrony and of periodization, while other systemic patterns that are typical for ontogeny cannot be observed in the process of adaptation to exercise or have some specific features of manifestation.
Any theoretical construction in morphological modeling is useful only when it can be linked to the practice. Any formalism is not optimal for describing the processes of morphogenesis, if it is not comparable with the shape of tissue structures. Thus, it is necessary to find the best approximation for the correct comparison of the experimental and theoretical results. Proposed in this paper, the use of test functions for genetic algorithms, evolutionary programming, and swarm optimization for the approximation of the morphogenesis of cellular structures and their models is a mathematical step towards the implementation of the thesis of the analyzed article author (Gradov O.V., 2011), deduced not precise enough. There are other ways of analytical approximation for this case, but they have no fundamental differences in terms of their ease of use in mathematical biology. Achieved in this way comparability of morphometric and model histogenetic-morphogenetic data can be used in mathematical and morphological analysis and modeling in histology and embryology.
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