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Multifractality through Non-Markovian Stochastic Processes in the Scale Relativity Theory. Acute Arterial Occlusions as Scale Transitions
By assimilating biological systems, both structural and functional, into multifractal objects, their behavior can be described in the framework of the scale relativity theory, in any of its forms (standard form in Nottale’s sense and/or the form of the multifractal theory of motion). By operating in...
Autores principales: | , , , , , , , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2021
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8069992/ https://www.ncbi.nlm.nih.gov/pubmed/33918896 http://dx.doi.org/10.3390/e23040444 |
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author | Tesloianu, Nicolae Dan Dobreci, Lucian Ghizdovat, Vlad Zala, Andrei Cotirlet, Adrian Valentin Gavrilut, Alina Agop, Maricel Vasincu, Decebal Nedelciuc, Igor Rusu, Cristina Marcela Costache, Irina Iuliana |
author_facet | Tesloianu, Nicolae Dan Dobreci, Lucian Ghizdovat, Vlad Zala, Andrei Cotirlet, Adrian Valentin Gavrilut, Alina Agop, Maricel Vasincu, Decebal Nedelciuc, Igor Rusu, Cristina Marcela Costache, Irina Iuliana |
author_sort | Tesloianu, Nicolae Dan |
collection | PubMed |
description | By assimilating biological systems, both structural and functional, into multifractal objects, their behavior can be described in the framework of the scale relativity theory, in any of its forms (standard form in Nottale’s sense and/or the form of the multifractal theory of motion). By operating in the context of the multifractal theory of motion, based on multifractalization through non-Markovian stochastic processes, the main results of Nottale’s theory can be generalized (specific momentum conservation laws, both at differentiable and non-differentiable resolution scales, specific momentum conservation law associated with the differentiable–non-differentiable scale transition, etc.). In such a context, all results are explicated through analyzing biological processes, such as acute arterial occlusions as scale transitions. Thus, we show through a biophysical multifractal model that the blocking of the lumen of a healthy artery can happen as a result of the “stopping effect” associated with the differentiable-non-differentiable scale transition. We consider that blood entities move on continuous but non-differentiable (multifractal) curves. We determine the biophysical parameters that characterize the blood flow as a Bingham-type rheological fluid through a normal arterial structure assimilated with a horizontal “pipe” with circular symmetry. Our model has been validated based on experimental clinical data. |
format | Online Article Text |
id | pubmed-8069992 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2021 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-80699922021-04-26 Multifractality through Non-Markovian Stochastic Processes in the Scale Relativity Theory. Acute Arterial Occlusions as Scale Transitions Tesloianu, Nicolae Dan Dobreci, Lucian Ghizdovat, Vlad Zala, Andrei Cotirlet, Adrian Valentin Gavrilut, Alina Agop, Maricel Vasincu, Decebal Nedelciuc, Igor Rusu, Cristina Marcela Costache, Irina Iuliana Entropy (Basel) Article By assimilating biological systems, both structural and functional, into multifractal objects, their behavior can be described in the framework of the scale relativity theory, in any of its forms (standard form in Nottale’s sense and/or the form of the multifractal theory of motion). By operating in the context of the multifractal theory of motion, based on multifractalization through non-Markovian stochastic processes, the main results of Nottale’s theory can be generalized (specific momentum conservation laws, both at differentiable and non-differentiable resolution scales, specific momentum conservation law associated with the differentiable–non-differentiable scale transition, etc.). In such a context, all results are explicated through analyzing biological processes, such as acute arterial occlusions as scale transitions. Thus, we show through a biophysical multifractal model that the blocking of the lumen of a healthy artery can happen as a result of the “stopping effect” associated with the differentiable-non-differentiable scale transition. We consider that blood entities move on continuous but non-differentiable (multifractal) curves. We determine the biophysical parameters that characterize the blood flow as a Bingham-type rheological fluid through a normal arterial structure assimilated with a horizontal “pipe” with circular symmetry. Our model has been validated based on experimental clinical data. MDPI 2021-04-09 /pmc/articles/PMC8069992/ /pubmed/33918896 http://dx.doi.org/10.3390/e23040444 Text en © 2021 by the authors. 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 Tesloianu, Nicolae Dan Dobreci, Lucian Ghizdovat, Vlad Zala, Andrei Cotirlet, Adrian Valentin Gavrilut, Alina Agop, Maricel Vasincu, Decebal Nedelciuc, Igor Rusu, Cristina Marcela Costache, Irina Iuliana Multifractality through Non-Markovian Stochastic Processes in the Scale Relativity Theory. Acute Arterial Occlusions as Scale Transitions |
title | Multifractality through Non-Markovian Stochastic Processes in the Scale Relativity Theory. Acute Arterial Occlusions as Scale Transitions |
title_full | Multifractality through Non-Markovian Stochastic Processes in the Scale Relativity Theory. Acute Arterial Occlusions as Scale Transitions |
title_fullStr | Multifractality through Non-Markovian Stochastic Processes in the Scale Relativity Theory. Acute Arterial Occlusions as Scale Transitions |
title_full_unstemmed | Multifractality through Non-Markovian Stochastic Processes in the Scale Relativity Theory. Acute Arterial Occlusions as Scale Transitions |
title_short | Multifractality through Non-Markovian Stochastic Processes in the Scale Relativity Theory. Acute Arterial Occlusions as Scale Transitions |
title_sort | multifractality through non-markovian stochastic processes in the scale relativity theory. acute arterial occlusions as scale transitions |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8069992/ https://www.ncbi.nlm.nih.gov/pubmed/33918896 http://dx.doi.org/10.3390/e23040444 |
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