Cargando…
Fractal-Cluster Theory and Its Applications for the Description of Biological Organisms
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 ef...
Autor principal: | |
---|---|
Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2023
|
Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10606124/ https://www.ncbi.nlm.nih.gov/pubmed/37895554 http://dx.doi.org/10.3390/e25101433 |
_version_ | 1785127240546123776 |
---|---|
author | Volov, Vyacheslav Theodorovich |
author_facet | Volov, Vyacheslav Theodorovich |
author_sort | Volov, Vyacheslav Theodorovich |
collection | PubMed |
description | 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. |
format | Online Article Text |
id | pubmed-10606124 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2023 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-106061242023-10-28 Fractal-Cluster Theory and Its Applications for the Description of Biological Organisms Volov, Vyacheslav Theodorovich Entropy (Basel) Article 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. MDPI 2023-10-10 /pmc/articles/PMC10606124/ /pubmed/37895554 http://dx.doi.org/10.3390/e25101433 Text en © 2023 by the author. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Article Volov, Vyacheslav Theodorovich Fractal-Cluster Theory and Its Applications for the Description of Biological Organisms |
title | Fractal-Cluster Theory and Its Applications for the Description of Biological Organisms |
title_full | Fractal-Cluster Theory and Its Applications for the Description of Biological Organisms |
title_fullStr | Fractal-Cluster Theory and Its Applications for the Description of Biological Organisms |
title_full_unstemmed | Fractal-Cluster Theory and Its Applications for the Description of Biological Organisms |
title_short | Fractal-Cluster Theory and Its Applications for the Description of Biological Organisms |
title_sort | fractal-cluster theory and its applications for the description of biological organisms |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10606124/ https://www.ncbi.nlm.nih.gov/pubmed/37895554 http://dx.doi.org/10.3390/e25101433 |
work_keys_str_mv | AT volovvyacheslavtheodorovich fractalclustertheoryanditsapplicationsforthedescriptionofbiologicalorganisms |