Regions of multistationarity in cascades of Goldbeter–Koshland loops

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 line...

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Autores principales: Giaroli, M., Bihan, F., Dickenstein, A.
Formato: JOUR
Materias:
Enzymatic cascades
Goldbeter–Koshland loops
Multistationarity
Sparse polynomial systems
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_03036812_v78_n4_p1115_Giaroli
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_03036812_v78_n4_p1115_Giaroli2023-10-03T15:19:43Z Regions of multistationarity in cascades of Goldbeter–Koshland loops Giaroli, M. Bihan, F. Dickenstein, A. Enzymatic cascades Goldbeter–Koshland loops Multistationarity Sparse polynomial systems 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). © 2018, Springer-Verlag GmbH Germany, part of Springer Nature. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_03036812_v78_n4_p1115_Giaroli
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Enzymatic cascades
Goldbeter–Koshland loops
Multistationarity
Sparse polynomial systems
spellingShingle Enzymatic cascades
Goldbeter–Koshland loops
Multistationarity
Sparse polynomial systems
Giaroli, M.
Bihan, F.
Dickenstein, A.
Regions of multistationarity in cascades of Goldbeter–Koshland loops
topic_facet Enzymatic cascades
Goldbeter–Koshland loops
Multistationarity
Sparse polynomial systems
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). © 2018, Springer-Verlag GmbH Germany, part of Springer Nature.
format JOUR
author Giaroli, M.
Bihan, F.
Dickenstein, A.
author_facet Giaroli, M.
Bihan, F.
Dickenstein, A.
author_sort Giaroli, M.
title Regions of multistationarity in cascades of Goldbeter–Koshland loops
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
url http://hdl.handle.net/20.500.12110/paper_03036812_v78_n4_p1115_Giaroli
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AT bihanf regionsofmultistationarityincascadesofgoldbeterkoshlandloops
AT dickensteina regionsofmultistationarityincascadesofgoldbeterkoshlandloops
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