Parameter regions that give rise to 2b2 nc + 1 positive steady states in the n-site phosphorylation system

Autores
Giaroli, Magalí Paola; Rischter, Rick; Pérez Millán, Mercedes Soledad; Dickenstein, Alicia Marcela
Año de publicación
2019
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The distributive sequential n-site phosphorylation/dephosphorylation system is an important building block in networks of chemical reactions arising in molecular biology, which has been intensively studied. In the nice paper of Wang and Sontag (2008) it is shown that for certain choices of the reaction rate constants and total conservation constants, the system can have 2b 2 n c + 1 positive steady states (that is, n + 1 positive steady states for n even and n positive steady states for n odd). In this paper we give open parameter regions in the space of reaction rate constants and total conservation constants that ensure these number of positive steady states, while assuming in the modeling that roughly only 4 1 of the intermediates occur in the reaction mechanism. This result is based on the general framework developed by Bihan, Dickenstein, and Giaroli (2018), which can be applied to other networks. We also describe how to implement these tools to search for multistationarity regions in a computer algebra system and present some computer aided results.
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: Rischter, Rick. Universidade Federal de Itajuba; Brasil
Fil: Pérez Millán, Mercedes Soledad. 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: 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
MULTISTATIONARITY
DISTRIBUTIVE SEQUENTIAL N-SITE PHOSPHORYLATION/DEPHOSPHORYLATION SYSTEM
STEADY STATES
REGIONS OF MULTISTATIONARITY
INTERMEDIATE SPECIES
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:11336/136635
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/136635
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Parameter regions that give rise to 2b2 nc + 1 positive steady states in the n-site phosphorylation systemGiaroli, Magalí PaolaRischter, RickPérez Millán, Mercedes SoledadDickenstein, Alicia MarcelaMULTISTATIONARITYDISTRIBUTIVE SEQUENTIAL N-SITE PHOSPHORYLATION/DEPHOSPHORYLATION SYSTEMSTEADY STATESREGIONS OF MULTISTATIONARITYINTERMEDIATE SPECIEShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1The distributive sequential n-site phosphorylation/dephosphorylation system is an important building block in networks of chemical reactions arising in molecular biology, which has been intensively studied. In the nice paper of Wang and Sontag (2008) it is shown that for certain choices of the reaction rate constants and total conservation constants, the system can have 2b 2 n c + 1 positive steady states (that is, n + 1 positive steady states for n even and n positive steady states for n odd). In this paper we give open parameter regions in the space of reaction rate constants and total conservation constants that ensure these number of positive steady states, while assuming in the modeling that roughly only 4 1 of the intermediates occur in the reaction mechanism. This result is based on the general framework developed by Bihan, Dickenstein, and Giaroli (2018), which can be applied to other networks. We also describe how to implement these tools to search for multistationarity regions in a computer algebra system and present some computer aided results.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: Rischter, Rick. Universidade Federal de Itajuba; BrasilFil: Pérez Millán, Mercedes Soledad. 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: 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"; ArgentinaAmerican Institute of Mathematical Sciences2019-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/136635Giaroli, Magalí Paola; Rischter, Rick; Pérez Millán, Mercedes Soledad; Dickenstein, Alicia Marcela; Parameter regions that give rise to 2b2 nc + 1 positive steady states in the n-site phosphorylation system; American Institute of Mathematical Sciences; Mathematical Biosciences And Engineering; 16; 6; 8-2019; 7589-76151547-1063CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.3934/mbe.2019381info:eu-repo/semantics/altIdentifier/url/http://www.aimspress.com/article/10.3934/mbe.2019381info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:29:10Zoai:ri.conicet.gov.ar:11336/136635instacron: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:34982025-09-29 10:29:11.053CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Parameter regions that give rise to 2b2 nc + 1 positive steady states in the n-site phosphorylation system
title Parameter regions that give rise to 2b2 nc + 1 positive steady states in the n-site phosphorylation system
spellingShingle Parameter regions that give rise to 2b2 nc + 1 positive steady states in the n-site phosphorylation system
Giaroli, Magalí Paola
MULTISTATIONARITY
DISTRIBUTIVE SEQUENTIAL N-SITE PHOSPHORYLATION/DEPHOSPHORYLATION SYSTEM
STEADY STATES
REGIONS OF MULTISTATIONARITY
INTERMEDIATE SPECIES
title_short Parameter regions that give rise to 2b2 nc + 1 positive steady states in the n-site phosphorylation system
title_full Parameter regions that give rise to 2b2 nc + 1 positive steady states in the n-site phosphorylation system
title_fullStr Parameter regions that give rise to 2b2 nc + 1 positive steady states in the n-site phosphorylation system
title_full_unstemmed Parameter regions that give rise to 2b2 nc + 1 positive steady states in the n-site phosphorylation system
title_sort Parameter regions that give rise to 2b2 nc + 1 positive steady states in the n-site phosphorylation system
dc.creator.none.fl_str_mv Giaroli, Magalí Paola
Rischter, Rick
Pérez Millán, Mercedes Soledad
Dickenstein, Alicia Marcela
author Giaroli, Magalí Paola
author_facet Giaroli, Magalí Paola
Rischter, Rick
Pérez Millán, Mercedes Soledad
Dickenstein, Alicia Marcela
author_role author
author2 Rischter, Rick
Pérez Millán, Mercedes Soledad
Dickenstein, Alicia Marcela
author2_role author
author
author
dc.subject.none.fl_str_mv MULTISTATIONARITY
DISTRIBUTIVE SEQUENTIAL N-SITE PHOSPHORYLATION/DEPHOSPHORYLATION SYSTEM
STEADY STATES
REGIONS OF MULTISTATIONARITY
INTERMEDIATE SPECIES
topic MULTISTATIONARITY
DISTRIBUTIVE SEQUENTIAL N-SITE PHOSPHORYLATION/DEPHOSPHORYLATION SYSTEM
STEADY STATES
REGIONS OF MULTISTATIONARITY
INTERMEDIATE SPECIES
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv The distributive sequential n-site phosphorylation/dephosphorylation system is an important building block in networks of chemical reactions arising in molecular biology, which has been intensively studied. In the nice paper of Wang and Sontag (2008) it is shown that for certain choices of the reaction rate constants and total conservation constants, the system can have 2b 2 n c + 1 positive steady states (that is, n + 1 positive steady states for n even and n positive steady states for n odd). In this paper we give open parameter regions in the space of reaction rate constants and total conservation constants that ensure these number of positive steady states, while assuming in the modeling that roughly only 4 1 of the intermediates occur in the reaction mechanism. This result is based on the general framework developed by Bihan, Dickenstein, and Giaroli (2018), which can be applied to other networks. We also describe how to implement these tools to search for multistationarity regions in a computer algebra system and present some computer aided results.
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: Rischter, Rick. Universidade Federal de Itajuba; Brasil
Fil: Pérez Millán, Mercedes Soledad. 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: 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 The distributive sequential n-site phosphorylation/dephosphorylation system is an important building block in networks of chemical reactions arising in molecular biology, which has been intensively studied. In the nice paper of Wang and Sontag (2008) it is shown that for certain choices of the reaction rate constants and total conservation constants, the system can have 2b 2 n c + 1 positive steady states (that is, n + 1 positive steady states for n even and n positive steady states for n odd). In this paper we give open parameter regions in the space of reaction rate constants and total conservation constants that ensure these number of positive steady states, while assuming in the modeling that roughly only 4 1 of the intermediates occur in the reaction mechanism. This result is based on the general framework developed by Bihan, Dickenstein, and Giaroli (2018), which can be applied to other networks. We also describe how to implement these tools to search for multistationarity regions in a computer algebra system and present some computer aided results.
publishDate 2019
dc.date.none.fl_str_mv 2019-08
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/11336/136635
Giaroli, Magalí Paola; Rischter, Rick; Pérez Millán, Mercedes Soledad; Dickenstein, Alicia Marcela; Parameter regions that give rise to 2b2 nc + 1 positive steady states in the n-site phosphorylation system; American Institute of Mathematical Sciences; Mathematical Biosciences And Engineering; 16; 6; 8-2019; 7589-7615
1547-1063
CONICET Digital
CONICET
url http://hdl.handle.net/11336/136635
identifier_str_mv Giaroli, Magalí Paola; Rischter, Rick; Pérez Millán, Mercedes Soledad; Dickenstein, Alicia Marcela; Parameter regions that give rise to 2b2 nc + 1 positive steady states in the n-site phosphorylation system; American Institute of Mathematical Sciences; Mathematical Biosciences And Engineering; 16; 6; 8-2019; 7589-7615
1547-1063
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.3934/mbe.2019381
info:eu-repo/semantics/altIdentifier/url/http://www.aimspress.com/article/10.3934/mbe.2019381
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
dc.publisher.none.fl_str_mv American Institute of Mathematical Sciences
publisher.none.fl_str_mv American Institute of Mathematical Sciences
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
_version_ 1844614297365250048
score 13.070432

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