Behaviour dynamics of biochemistry reaction
Autor(a) principal: | |
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Data de Publicação: | 2020 |
Outros Autores: | , , , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://hdl.handle.net/11449/233034 |
Resumo: | In this paper, we investigated the importance of the peroxidase in the enzymatic reactions of living organisms, analyzing the dynamic behavior of a mathematical model that describes the dynamics of the kinetic reaction of such an enzyme system. The methodology used for the dynamic analysis of the model was the maximum Lyapunov Exponent and the Bifucation Diagram, which allowed the determination of the chaotic and periodic regions of the system in addition to the analysis of Shannon's entropy in which the parameters that maximize and minimize the information entropy. We obtained as results the regions in which the parameters k1 and k3 are periodic or chaotic, confirming those found by the exponent of Lyapunov and the bifurcation diagram. Considering that the mathematical model has parametric sensitivity for certain values of the parameters of the peroxidase enzyme reaction constants. |
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Repositório Institucional da UNESP |
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Behaviour dynamics of biochemistry reactionDynamics systemInformation entropyMathematical modelingIn this paper, we investigated the importance of the peroxidase in the enzymatic reactions of living organisms, analyzing the dynamic behavior of a mathematical model that describes the dynamics of the kinetic reaction of such an enzyme system. The methodology used for the dynamic analysis of the model was the maximum Lyapunov Exponent and the Bifucation Diagram, which allowed the determination of the chaotic and periodic regions of the system in addition to the analysis of Shannon's entropy in which the parameters that maximize and minimize the information entropy. We obtained as results the regions in which the parameters k1 and k3 are periodic or chaotic, confirming those found by the exponent of Lyapunov and the bifurcation diagram. Considering that the mathematical model has parametric sensitivity for certain values of the parameters of the peroxidase enzyme reaction constants.Universidade Tecnologica Federal do Parana (UTFPR)Universidade Estadual de Ponta Grossa (UEPG)Universidade Estadual Paulista 'Julio de Mesquita Filho'Universidade Estadual Paulista 'Julio de Mesquita Filho'Universidade Tecnologica Federal do Parana (UTFPR)Universidade Estadual de Ponta Grossa (UEPG)Universidade Estadual Paulista (UNESP)Ribeiro, Mauricio A.Szesz, Aryadyne Bueno RochaNovatski, AndressaLenzi, Giane GonçalvesLenz, Wagner BarthBalthazar, Jose Manoel [UNESP]Tusset, Angelo Marcelo2022-05-01T00:16:32Z2022-05-01T00:16:32Z2020-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article549-555Mathematics in Engineering, Science and Aerospace, v. 11, n. 3, p. 549-555, 2020.2041-31732041-3165http://hdl.handle.net/11449/2330342-s2.0-85091504051Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengMathematics in Engineering, Science and Aerospaceinfo:eu-repo/semantics/openAccess2022-05-01T00:16:32Zoai:repositorio.unesp.br:11449/233034Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T17:07:22.041319Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Behaviour dynamics of biochemistry reaction |
title |
Behaviour dynamics of biochemistry reaction |
spellingShingle |
Behaviour dynamics of biochemistry reaction Ribeiro, Mauricio A. Dynamics system Information entropy Mathematical modeling |
title_short |
Behaviour dynamics of biochemistry reaction |
title_full |
Behaviour dynamics of biochemistry reaction |
title_fullStr |
Behaviour dynamics of biochemistry reaction |
title_full_unstemmed |
Behaviour dynamics of biochemistry reaction |
title_sort |
Behaviour dynamics of biochemistry reaction |
author |
Ribeiro, Mauricio A. |
author_facet |
Ribeiro, Mauricio A. Szesz, Aryadyne Bueno Rocha Novatski, Andressa Lenzi, Giane Gonçalves Lenz, Wagner Barth Balthazar, Jose Manoel [UNESP] Tusset, Angelo Marcelo |
author_role |
author |
author2 |
Szesz, Aryadyne Bueno Rocha Novatski, Andressa Lenzi, Giane Gonçalves Lenz, Wagner Barth Balthazar, Jose Manoel [UNESP] Tusset, Angelo Marcelo |
author2_role |
author author author author author author |
dc.contributor.none.fl_str_mv |
Universidade Tecnologica Federal do Parana (UTFPR) Universidade Estadual de Ponta Grossa (UEPG) Universidade Estadual Paulista (UNESP) |
dc.contributor.author.fl_str_mv |
Ribeiro, Mauricio A. Szesz, Aryadyne Bueno Rocha Novatski, Andressa Lenzi, Giane Gonçalves Lenz, Wagner Barth Balthazar, Jose Manoel [UNESP] Tusset, Angelo Marcelo |
dc.subject.por.fl_str_mv |
Dynamics system Information entropy Mathematical modeling |
topic |
Dynamics system Information entropy Mathematical modeling |
description |
In this paper, we investigated the importance of the peroxidase in the enzymatic reactions of living organisms, analyzing the dynamic behavior of a mathematical model that describes the dynamics of the kinetic reaction of such an enzyme system. The methodology used for the dynamic analysis of the model was the maximum Lyapunov Exponent and the Bifucation Diagram, which allowed the determination of the chaotic and periodic regions of the system in addition to the analysis of Shannon's entropy in which the parameters that maximize and minimize the information entropy. We obtained as results the regions in which the parameters k1 and k3 are periodic or chaotic, confirming those found by the exponent of Lyapunov and the bifurcation diagram. Considering that the mathematical model has parametric sensitivity for certain values of the parameters of the peroxidase enzyme reaction constants. |
publishDate |
2020 |
dc.date.none.fl_str_mv |
2020-01-01 2022-05-01T00:16:32Z 2022-05-01T00:16:32Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
Mathematics in Engineering, Science and Aerospace, v. 11, n. 3, p. 549-555, 2020. 2041-3173 2041-3165 http://hdl.handle.net/11449/233034 2-s2.0-85091504051 |
identifier_str_mv |
Mathematics in Engineering, Science and Aerospace, v. 11, n. 3, p. 549-555, 2020. 2041-3173 2041-3165 2-s2.0-85091504051 |
url |
http://hdl.handle.net/11449/233034 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Mathematics in Engineering, Science and Aerospace |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
549-555 |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808128757601402880 |