Regions of multistationarity in cascades of Goldbeter–Koshland loops

Autores
Giaroli, Magalí Paola; Bihan, Frédéric; Dickenstein, Alicia Marcela
Año de publicación
2019
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We consider cascades of enzymatic Goldbeter-Koshland loops (Goldbeter and Koshland in Proc Natl Acad Sci 78(11):6840-6844, 1981) with any number n of layers, for which there exist two layers involving the same phosphatase. Even if the number of variables and the number of conservation laws grow linearly with n, we find explicit regions in reaction rate constant and total conservation constant space for which the associated mass-action kinetics dynamical system is multistationary. Our computations are based on the theoretical results of our companion paper (Bihan, Dickenstein and Giaroli 2018, preprint: arXiv:1807.05157) which are inspired by results in real algebraic geometry by Bihan et al. (SIAM J Appl Algebra Geom, 2018).
Fil: Giaroli, Magalí Paola. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Fil: Bihan, Frédéric. Université Savoie Mont Blanc. Laboratoire de Mathématiques; Francia
Fil: Dickenstein, Alicia Marcela. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Materia
ENZYMATIC CASCADES
GOLDBETER–KOSHLAND LOOPS
MULTISTATIONARITY
SPARSE POLYNOMIAL SYSTEMS
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/117680
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network_name_str CONICET Digital (CONICET)
spelling Regions of multistationarity in cascades of Goldbeter–Koshland loopsGiaroli, Magalí PaolaBihan, FrédéricDickenstein, Alicia MarcelaENZYMATIC CASCADESGOLDBETER–KOSHLAND LOOPSMULTISTATIONARITYSPARSE POLYNOMIAL SYSTEMShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We consider cascades of enzymatic Goldbeter-Koshland loops (Goldbeter and Koshland in Proc Natl Acad Sci 78(11):6840-6844, 1981) with any number n of layers, for which there exist two layers involving the same phosphatase. Even if the number of variables and the number of conservation laws grow linearly with n, we find explicit regions in reaction rate constant and total conservation constant space for which the associated mass-action kinetics dynamical system is multistationary. Our computations are based on the theoretical results of our companion paper (Bihan, Dickenstein and Giaroli 2018, preprint: arXiv:1807.05157) which are inspired by results in real algebraic geometry by Bihan et al. (SIAM J Appl Algebra Geom, 2018).Fil: Giaroli, Magalí Paola. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; ArgentinaFil: Bihan, Frédéric. Université Savoie Mont Blanc. Laboratoire de Mathématiques; FranciaFil: Dickenstein, Alicia Marcela. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; ArgentinaSpringer2019-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/117680Giaroli, Magalí Paola; Bihan, Frédéric; Dickenstein, Alicia Marcela; Regions of multistationarity in cascades of Goldbeter–Koshland loops; Springer; Journal of Mathematical Biology; 78; 4; 3-2019; 1115-11450303-6812CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s00285-018-1304-0info:eu-repo/semantics/altIdentifier/doi/10.1007/s00285-018-1304-0info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1807.08400info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-17T10:48:03Zoai:ri.conicet.gov.ar:11336/117680instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-17 10:48:03.916CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Regions of multistationarity in cascades of Goldbeter–Koshland loops
title Regions of multistationarity in cascades of Goldbeter–Koshland loops
spellingShingle Regions of multistationarity in cascades of Goldbeter–Koshland loops
Giaroli, Magalí Paola
ENZYMATIC CASCADES
GOLDBETER–KOSHLAND LOOPS
MULTISTATIONARITY
SPARSE POLYNOMIAL SYSTEMS
title_short Regions of multistationarity in cascades of Goldbeter–Koshland loops
title_full Regions of multistationarity in cascades of Goldbeter–Koshland loops
title_fullStr Regions of multistationarity in cascades of Goldbeter–Koshland loops
title_full_unstemmed Regions of multistationarity in cascades of Goldbeter–Koshland loops
title_sort Regions of multistationarity in cascades of Goldbeter–Koshland loops
dc.creator.none.fl_str_mv Giaroli, Magalí Paola
Bihan, Frédéric
Dickenstein, Alicia Marcela
author Giaroli, Magalí Paola
author_facet Giaroli, Magalí Paola
Bihan, Frédéric
Dickenstein, Alicia Marcela
author_role author
author2 Bihan, Frédéric
Dickenstein, Alicia Marcela
author2_role author
author
dc.subject.none.fl_str_mv ENZYMATIC CASCADES
GOLDBETER–KOSHLAND LOOPS
MULTISTATIONARITY
SPARSE POLYNOMIAL SYSTEMS
topic ENZYMATIC CASCADES
GOLDBETER–KOSHLAND LOOPS
MULTISTATIONARITY
SPARSE POLYNOMIAL SYSTEMS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We consider cascades of enzymatic Goldbeter-Koshland loops (Goldbeter and Koshland in Proc Natl Acad Sci 78(11):6840-6844, 1981) with any number n of layers, for which there exist two layers involving the same phosphatase. Even if the number of variables and the number of conservation laws grow linearly with n, we find explicit regions in reaction rate constant and total conservation constant space for which the associated mass-action kinetics dynamical system is multistationary. Our computations are based on the theoretical results of our companion paper (Bihan, Dickenstein and Giaroli 2018, preprint: arXiv:1807.05157) which are inspired by results in real algebraic geometry by Bihan et al. (SIAM J Appl Algebra Geom, 2018).
Fil: Giaroli, Magalí Paola. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Fil: Bihan, Frédéric. Université Savoie Mont Blanc. Laboratoire de Mathématiques; Francia
Fil: Dickenstein, Alicia Marcela. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
description We consider cascades of enzymatic Goldbeter-Koshland loops (Goldbeter and Koshland in Proc Natl Acad Sci 78(11):6840-6844, 1981) with any number n of layers, for which there exist two layers involving the same phosphatase. Even if the number of variables and the number of conservation laws grow linearly with n, we find explicit regions in reaction rate constant and total conservation constant space for which the associated mass-action kinetics dynamical system is multistationary. Our computations are based on the theoretical results of our companion paper (Bihan, Dickenstein and Giaroli 2018, preprint: arXiv:1807.05157) which are inspired by results in real algebraic geometry by Bihan et al. (SIAM J Appl Algebra Geom, 2018).
publishDate 2019
dc.date.none.fl_str_mv 2019-03
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/117680
Giaroli, Magalí Paola; Bihan, Frédéric; Dickenstein, Alicia Marcela; Regions of multistationarity in cascades of Goldbeter–Koshland loops; Springer; Journal of Mathematical Biology; 78; 4; 3-2019; 1115-1145
0303-6812
CONICET Digital
CONICET
url http://hdl.handle.net/11336/117680
identifier_str_mv Giaroli, Magalí Paola; Bihan, Frédéric; Dickenstein, Alicia Marcela; Regions of multistationarity in cascades of Goldbeter–Koshland loops; Springer; Journal of Mathematical Biology; 78; 4; 3-2019; 1115-1145
0303-6812
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s00285-018-1304-0
info:eu-repo/semantics/altIdentifier/doi/10.1007/s00285-018-1304-0
info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1807.08400
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.000565

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