Transition from Thermokinetic to Chemical Instabilities in a Modified Sal’nikov Model
Autor(a) principal: | |
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Data de Publicação: | 2018 |
Outros Autores: | |
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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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 |
format |
article |
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 |
_version_ |
1750318180836835328 |