Optimization-based prediction of fold bifurcations in nonlinear ODE models

6 pages, 7 figures

Detalles Bibliográficos
Autores: Otero-Muras, Irene, Banga, Julio R.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2018
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/171366
Acceso en línea:http://hdl.handle.net/10261/171366
Access Level:acceso abierto
Palabra clave:Global optimization
Saddle-Node
Bistability
Systems biology
MINLP
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repository_id_str
spelling Optimization-based prediction of fold bifurcations in nonlinear ODE modelsOtero-Muras, IreneBanga, Julio R.Global optimizationSaddle-NodeBistabilitySystems biologyMINLP6 pages, 7 figuresA complex nonlinear system might exhibit a rich variety of dynamics. Detecting and classifying these dynamics is crucial to understand and ultimately control the system. Starting from an ODE model, this analysis can be done using standard bifurcation/continuation methods. However, when we start from measured data to infer the equations governing the dynamics (parameters and topology) we need tools to detect bifurcations in presence of parameter and even structural uncertainty. This is particularly the case in the field of systems biology, where we often deal with limited mechanistic knowledge (including potential conflicting hypotheses) and scarce experimental data. Here we present a method to efficiently predict the appearance of fold bifurcations in general systems of ordinary differential equations. The approach formulates the search of the bifurcation condition through a Mixed Integer Nonlinear Programming optimization strategy. In this way, we can simultaneously explore parameter and topology spaces searching for the desired bifurcation behaviour. We illustrate the capabilities and efficiency of our method through an example of biological relevance, the transcriptional network controlling adipogenesis, finding the conditions for an irreversible switch that causes the conversion of preadipocytes into adipocytes responsible of lipid accumulationPeer reviewedInternational Federation of Automatic ControlConsejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]201820182018info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Publisher's versioninfo:eu-repo/semantics/publishedVersionhttp://hdl.handle.net/10261/171366reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Ingléshttps://doi.org/10.1016/j.ifacol.2018.09.192Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/1713662026-05-22T06:33:51Z
dc.title.none.fl_str_mv Optimization-based prediction of fold bifurcations in nonlinear ODE models
title Optimization-based prediction of fold bifurcations in nonlinear ODE models
spellingShingle Optimization-based prediction of fold bifurcations in nonlinear ODE models
Otero-Muras, Irene
Global optimization
Saddle-Node
Bistability
Systems biology
MINLP
title_short Optimization-based prediction of fold bifurcations in nonlinear ODE models
title_full Optimization-based prediction of fold bifurcations in nonlinear ODE models
title_fullStr Optimization-based prediction of fold bifurcations in nonlinear ODE models
title_full_unstemmed Optimization-based prediction of fold bifurcations in nonlinear ODE models
title_sort Optimization-based prediction of fold bifurcations in nonlinear ODE models
dc.creator.none.fl_str_mv Otero-Muras, Irene
Banga, Julio R.
author Otero-Muras, Irene
author_facet Otero-Muras, Irene
Banga, Julio R.
author_role author
author2 Banga, Julio R.
author2_role author
dc.contributor.none.fl_str_mv Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
dc.subject.none.fl_str_mv Global optimization
Saddle-Node
Bistability
Systems biology
MINLP
topic Global optimization
Saddle-Node
Bistability
Systems biology
MINLP
description 6 pages, 7 figures
publishDate 2018
dc.date.none.fl_str_mv 2018
2018
2018
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
Publisher's version
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/171366
url http://hdl.handle.net/10261/171366
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv https://doi.org/10.1016/j.ifacol.2018.09.192
Sí
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv International Federation of Automatic Control
publisher.none.fl_str_mv International Federation of Automatic Control
dc.source.none.fl_str_mv reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC
instname:Consejo Superior de Investigaciones Científicas (CSIC)
instname_str Consejo Superior de Investigaciones Científicas (CSIC)
reponame_str DIGITAL.CSIC. Repositorio Institucional del CSIC
collection DIGITAL.CSIC. Repositorio Institucional del CSIC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,812429

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