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Macroscopic Quantum-Type Potentials in Theoretical Systems Biology

We review in this paper the use of the theory of scale relativity and fractal space-time as a tool particularly well adapted to the possible development of a future genuine systems theoretical biology. We emphasize in particular the concept of quantum-type potentials, since, in many situations, the...

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Detalles Bibliográficos
Autor principal: Nottale, Laurent
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2013
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3980741/
https://www.ncbi.nlm.nih.gov/pubmed/24709901
http://dx.doi.org/10.3390/cells3010001
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author Nottale, Laurent
author_facet Nottale, Laurent
author_sort Nottale, Laurent
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description We review in this paper the use of the theory of scale relativity and fractal space-time as a tool particularly well adapted to the possible development of a future genuine systems theoretical biology. We emphasize in particular the concept of quantum-type potentials, since, in many situations, the effect of the fractality of space—or of the underlying medium—can be reduced to the addition of such a potential energy to the classical equations of motion. Various equivalent representations—geodesic, quantum-like, fluid mechanical, stochastic—of these equations are given, as well as several forms of generalized quantum potentials. Examples of their possible intervention in high critical temperature superconductivity and in turbulence are also described, since some biological processes may be similar in some aspects to these physical phenomena. These potential extra energy contributions could have emerged in biology from the very fractal nature of the medium, or from an evolutive advantage, since they involve spontaneous properties of self-organization, morphogenesis, structuration and multi-scale integration. Finally, some examples of applications of the theory to actual biological-like processes and functions are also provided.
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spelling pubmed-39807412014-04-11 Macroscopic Quantum-Type Potentials in Theoretical Systems Biology Nottale, Laurent Cells Article We review in this paper the use of the theory of scale relativity and fractal space-time as a tool particularly well adapted to the possible development of a future genuine systems theoretical biology. We emphasize in particular the concept of quantum-type potentials, since, in many situations, the effect of the fractality of space—or of the underlying medium—can be reduced to the addition of such a potential energy to the classical equations of motion. Various equivalent representations—geodesic, quantum-like, fluid mechanical, stochastic—of these equations are given, as well as several forms of generalized quantum potentials. Examples of their possible intervention in high critical temperature superconductivity and in turbulence are also described, since some biological processes may be similar in some aspects to these physical phenomena. These potential extra energy contributions could have emerged in biology from the very fractal nature of the medium, or from an evolutive advantage, since they involve spontaneous properties of self-organization, morphogenesis, structuration and multi-scale integration. Finally, some examples of applications of the theory to actual biological-like processes and functions are also provided. MDPI 2013-12-30 /pmc/articles/PMC3980741/ /pubmed/24709901 http://dx.doi.org/10.3390/cells3010001 Text en © 2014 by the author; licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution license (http://creativecommons.org/licenses/by/3.0/).
spellingShingle Article
Nottale, Laurent
Macroscopic Quantum-Type Potentials in Theoretical Systems Biology
title Macroscopic Quantum-Type Potentials in Theoretical Systems Biology
title_full Macroscopic Quantum-Type Potentials in Theoretical Systems Biology
title_fullStr Macroscopic Quantum-Type Potentials in Theoretical Systems Biology
title_full_unstemmed Macroscopic Quantum-Type Potentials in Theoretical Systems Biology
title_short Macroscopic Quantum-Type Potentials in Theoretical Systems Biology
title_sort macroscopic quantum-type potentials in theoretical systems biology
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3980741/
https://www.ncbi.nlm.nih.gov/pubmed/24709901
http://dx.doi.org/10.3390/cells3010001
work_keys_str_mv AT nottalelaurent macroscopicquantumtypepotentialsintheoreticalsystemsbiology