Transition from Thermokinetic to Chemical Instabilities in a Modified Sal’nikov Model

Detalhes bibliográficos
Autor(a) principal: Barragán,Daniel
Data de Publicação: 2018
Outros Autores: Ochoa-Botache,Pablo A.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Journal of the Brazilian Chemical Society (Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-50532018000701406
Resumo: Traditionally, thermokinetic and chemical oscillations have been studied independently, but in cellular media recent studies have shown that cell’s temperature is not uniform. Thus, on this context it is possible to inquire about the influence of thermal effects on chemical oscillatory behavior and vice versa. To this end, in this paper we propose a dynamical model based on a modified Sal’nikov oscillator that can address both kinds of oscillatory behavior (thermokinetic and chemical). We found that the system modeled can jump from thermal oscillations to mixed chemical-thermal oscillations through a transition or bifurcation parameter. Thermokinetic oscillations are well defined in a limit cycle, while chemical-thermal oscillations appear in the form of a burst. The model could be useful in explaining biochemical energy recovery under cellular stress conditions.
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spelling Transition from Thermokinetic to Chemical Instabilities in a Modified Sal’nikov Modelchemical instabilitiesdynamical transitionsthermokinetic instabilitiesbiochemical oscillationsTraditionally, thermokinetic and chemical oscillations have been studied independently, but in cellular media recent studies have shown that cell’s temperature is not uniform. Thus, on this context it is possible to inquire about the influence of thermal effects on chemical oscillatory behavior and vice versa. To this end, in this paper we propose a dynamical model based on a modified Sal’nikov oscillator that can address both kinds of oscillatory behavior (thermokinetic and chemical). We found that the system modeled can jump from thermal oscillations to mixed chemical-thermal oscillations through a transition or bifurcation parameter. Thermokinetic oscillations are well defined in a limit cycle, while chemical-thermal oscillations appear in the form of a burst. The model could be useful in explaining biochemical energy recovery under cellular stress conditions.Sociedade Brasileira de Química2018-07-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-50532018000701406Journal of the Brazilian Chemical Society v.29 n.7 2018reponame:Journal of the Brazilian Chemical Society (Online)instname:Sociedade Brasileira de Química (SBQ)instacron:SBQ10.21577/0103-5053.20180003info:eu-repo/semantics/openAccessBarragán,DanielOchoa-Botache,Pablo A.eng2018-06-20T00:00:00Zoai:scielo:S0103-50532018000701406Revistahttp://jbcs.sbq.org.brONGhttps://old.scielo.br/oai/scielo-oai.php||office@jbcs.sbq.org.br1678-47900103-5053opendoar:2018-06-20T00:00Journal of the Brazilian Chemical Society (Online) - Sociedade Brasileira de Química (SBQ)false
dc.title.none.fl_str_mv Transition from Thermokinetic to Chemical Instabilities in a Modified Sal’nikov Model
title Transition from Thermokinetic to Chemical Instabilities in a Modified Sal’nikov Model
spellingShingle Transition from Thermokinetic to Chemical Instabilities in a Modified Sal’nikov Model
Barragán,Daniel
chemical instabilities
dynamical transitions
thermokinetic instabilities
biochemical oscillations
title_short Transition from Thermokinetic to Chemical Instabilities in a Modified Sal’nikov Model
title_full Transition from Thermokinetic to Chemical Instabilities in a Modified Sal’nikov Model
title_fullStr Transition from Thermokinetic to Chemical Instabilities in a Modified Sal’nikov Model
title_full_unstemmed Transition from Thermokinetic to Chemical Instabilities in a Modified Sal’nikov Model
title_sort Transition from Thermokinetic to Chemical Instabilities in a Modified Sal’nikov Model
author Barragán,Daniel
author_facet Barragán,Daniel
Ochoa-Botache,Pablo A.
author_role author
author2 Ochoa-Botache,Pablo A.
author2_role author
dc.contributor.author.fl_str_mv Barragán,Daniel
Ochoa-Botache,Pablo A.
dc.subject.por.fl_str_mv chemical instabilities
dynamical transitions
thermokinetic instabilities
biochemical oscillations
topic chemical instabilities
dynamical transitions
thermokinetic instabilities
biochemical oscillations
description Traditionally, thermokinetic and chemical oscillations have been studied independently, but in cellular media recent studies have shown that cell’s temperature is not uniform. Thus, on this context it is possible to inquire about the influence of thermal effects on chemical oscillatory behavior and vice versa. To this end, in this paper we propose a dynamical model based on a modified Sal’nikov oscillator that can address both kinds of oscillatory behavior (thermokinetic and chemical). We found that the system modeled can jump from thermal oscillations to mixed chemical-thermal oscillations through a transition or bifurcation parameter. Thermokinetic oscillations are well defined in a limit cycle, while chemical-thermal oscillations appear in the form of a burst. The model could be useful in explaining biochemical energy recovery under cellular stress conditions.
publishDate 2018
dc.date.none.fl_str_mv 2018-07-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-50532018000701406
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-50532018000701406
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.21577/0103-5053.20180003
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Química
publisher.none.fl_str_mv Sociedade Brasileira de Química
dc.source.none.fl_str_mv Journal of the Brazilian Chemical Society v.29 n.7 2018
reponame:Journal of the Brazilian Chemical Society (Online)
instname:Sociedade Brasileira de Química (SBQ)
instacron:SBQ
instname_str Sociedade Brasileira de Química (SBQ)
instacron_str SBQ
institution SBQ
reponame_str Journal of the Brazilian Chemical Society (Online)
collection Journal of the Brazilian Chemical Society (Online)
repository.name.fl_str_mv Journal of the Brazilian Chemical Society (Online) - Sociedade Brasileira de Química (SBQ)
repository.mail.fl_str_mv ||office@jbcs.sbq.org.br
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