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- Title
Fractal-Cluster Theory and Its Applications for the Description of Biological Organisms.
- Authors
Volov, Vyacheslav Theodorovich
- Abstract
This article presents an overview of an alternative approach to the systematization and evolution of biological organisms on the basis of the fractal-cluster theory. It presents the foundations of the fractal-cluster theory for the self-organizing systems of the organism class. Static and dynamic efficiency criteria based on the fractal-cluster relations and the analytical apparatus of nonequilibrium thermodynamics are presented. We introduce a highly sensitive static criterion, D, which determines the deviation in the value of the clusters and subclusters of the fractal-cluster system structures from their reference values. Other static criteria are the fractal-cluster entropy H and the free energy F of an organism. The dynamic criterion is based on Prigogine's theorem and is determined by the second differential of the temporal trend of the fractal-cluster entropy H. By using simulations of the cluster variations for biological organisms in the (H, D, F)-space, the criteria for the fractal-cluster stochastics as well as for energy and evolution laws are obtained. The relationship between the traditional and fractal-cluster approaches for identifying an organism is discussed.
- Subjects
SELF-organizing systems; BIOLOGICAL evolution; BIOLOGICAL variation; REFERENCE values; SECOND law of thermodynamics; SYSTEMS theory; NONEQUILIBRIUM thermodynamics
- Publication
Entropy, 2023, Vol 25, Issue 10, p1433
- ISSN
1099-4300
- Publication type
Article
- DOI
10.3390/e25101433