MAPK's networks and their capacity for multistationarity due to toric steady states

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Mitogen-activated protein kinase (MAPK) signaling pathways play an essential role in the transduction of environmental stimuli to the nucleus, thereby regulating a variety of cellular processes, including cell proliferation, differentiation and programmed cell death. The components of the MAPK extra...

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Autores principales:	Pérez Millán, M., Turjanski, A.G.
Formato:	JOUR
Materias:	MAPK Mass-action kinetics Multistationarity Signaling networks Toric steady states Cell death Cell proliferation Cell signaling Differential equations Diseases Enzyme activity Enzymes Feedback Mobile security Ordinary differential equations Proteins Rate constants Signaling Mass action kinetics Steady state Switching circuits mitogen activated protein kinase phosphatase Raf protein biochemistry biological analysis cancer cell organelle computer simulation enzyme activity protein Article binomial distribution controlled study enzyme activation enzyme chemistry mass action mathematical computing negative feedback signal transduction steady state stoichiometry system analysis theoretical study toric steady state biological model feedback system human kinetics mathematical phenomena Feedback, Physiological Humans Kinetics MAP Kinase Signaling System Mathematical Concepts Models, Biological
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_00255564_v262_n_p125_PerezMillan
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	todo:paper_00255564_v262_n_p125_PerezMillan
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spelling	todo:paper_00255564_v262_n_p125_PerezMillan2023-10-03T14:36:08Z MAPK's networks and their capacity for multistationarity due to toric steady states Pérez Millán, M. Turjanski, A.G. MAPK Mass-action kinetics Multistationarity Signaling networks Toric steady states Cell death Cell proliferation Cell signaling Differential equations Diseases Enzyme activity Enzymes Feedback Mobile security Ordinary differential equations Proteins Rate constants Signaling MAPK Mass action kinetics Multistationarity Signaling networks Steady state Switching circuits mitogen activated protein kinase phosphatase Raf protein biochemistry biological analysis cancer cell organelle computer simulation enzyme activity protein Article binomial distribution controlled study enzyme activation enzyme activity enzyme chemistry mass action mathematical computing negative feedback signal transduction steady state stoichiometry system analysis theoretical study toric steady state biological model feedback system human kinetics mathematical phenomena Feedback, Physiological Humans Kinetics MAP Kinase Signaling System Mathematical Concepts Models, Biological Mitogen-activated protein kinase (MAPK) signaling pathways play an essential role in the transduction of environmental stimuli to the nucleus, thereby regulating a variety of cellular processes, including cell proliferation, differentiation and programmed cell death. The components of the MAPK extracellular activated protein kinase (ERK) cascade represent attractive targets for cancer therapy as their aberrant activation is a frequent event among highly prevalent human cancers. MAPK networks are a model for computational simulation, mostly using ordinary and partial differential equations. Key results showed that these networks can have switch-like behavior, bistability and oscillations. In this work, we consider three representative ERK networks, one with a negative feedback loop, which present a binomial steady state ideal under mass-action kinetics. We therefore apply the theoretical result present in [27] to find a set of rate constants that allow two significantly different stable steady states in the same stoichiometric compatibility class for each network. Our approach makes it possible to study certain aspects of the system, such as multistationarity, without relying on simulation, since we do not assume a priori any constant but the topology of the network. As the performed analysis is general it could be applied to many other important biochemical networks. © 2015 Elsevier Inc. Fil:Pérez Millán, M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Turjanski, A.G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00255564_v262_n_p125_PerezMillan
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	MAPK Mass-action kinetics Multistationarity Signaling networks Toric steady states Cell death Cell proliferation Cell signaling Differential equations Diseases Enzyme activity Enzymes Feedback Mobile security Ordinary differential equations Proteins Rate constants Signaling MAPK Mass action kinetics Multistationarity Signaling networks Steady state Switching circuits mitogen activated protein kinase phosphatase Raf protein biochemistry biological analysis cancer cell organelle computer simulation enzyme activity protein Article binomial distribution controlled study enzyme activation enzyme activity enzyme chemistry mass action mathematical computing negative feedback signal transduction steady state stoichiometry system analysis theoretical study toric steady state biological model feedback system human kinetics mathematical phenomena Feedback, Physiological Humans Kinetics MAP Kinase Signaling System Mathematical Concepts Models, Biological
spellingShingle	MAPK Mass-action kinetics Multistationarity Signaling networks Toric steady states Cell death Cell proliferation Cell signaling Differential equations Diseases Enzyme activity Enzymes Feedback Mobile security Ordinary differential equations Proteins Rate constants Signaling MAPK Mass action kinetics Multistationarity Signaling networks Steady state Switching circuits mitogen activated protein kinase phosphatase Raf protein biochemistry biological analysis cancer cell organelle computer simulation enzyme activity protein Article binomial distribution controlled study enzyme activation enzyme activity enzyme chemistry mass action mathematical computing negative feedback signal transduction steady state stoichiometry system analysis theoretical study toric steady state biological model feedback system human kinetics mathematical phenomena Feedback, Physiological Humans Kinetics MAP Kinase Signaling System Mathematical Concepts Models, Biological Pérez Millán, M. Turjanski, A.G. MAPK's networks and their capacity for multistationarity due to toric steady states
topic_facet	MAPK Mass-action kinetics Multistationarity Signaling networks Toric steady states Cell death Cell proliferation Cell signaling Differential equations Diseases Enzyme activity Enzymes Feedback Mobile security Ordinary differential equations Proteins Rate constants Signaling MAPK Mass action kinetics Multistationarity Signaling networks Steady state Switching circuits mitogen activated protein kinase phosphatase Raf protein biochemistry biological analysis cancer cell organelle computer simulation enzyme activity protein Article binomial distribution controlled study enzyme activation enzyme activity enzyme chemistry mass action mathematical computing negative feedback signal transduction steady state stoichiometry system analysis theoretical study toric steady state biological model feedback system human kinetics mathematical phenomena Feedback, Physiological Humans Kinetics MAP Kinase Signaling System Mathematical Concepts Models, Biological
description	Mitogen-activated protein kinase (MAPK) signaling pathways play an essential role in the transduction of environmental stimuli to the nucleus, thereby regulating a variety of cellular processes, including cell proliferation, differentiation and programmed cell death. The components of the MAPK extracellular activated protein kinase (ERK) cascade represent attractive targets for cancer therapy as their aberrant activation is a frequent event among highly prevalent human cancers. MAPK networks are a model for computational simulation, mostly using ordinary and partial differential equations. Key results showed that these networks can have switch-like behavior, bistability and oscillations. In this work, we consider three representative ERK networks, one with a negative feedback loop, which present a binomial steady state ideal under mass-action kinetics. We therefore apply the theoretical result present in [27] to find a set of rate constants that allow two significantly different stable steady states in the same stoichiometric compatibility class for each network. Our approach makes it possible to study certain aspects of the system, such as multistationarity, without relying on simulation, since we do not assume a priori any constant but the topology of the network. As the performed analysis is general it could be applied to many other important biochemical networks. © 2015 Elsevier Inc.
format	JOUR
author	Pérez Millán, M. Turjanski, A.G.
author_facet	Pérez Millán, M. Turjanski, A.G.
author_sort	Pérez Millán, M.
title	MAPK's networks and their capacity for multistationarity due to toric steady states
title_short	MAPK's networks and their capacity for multistationarity due to toric steady states
title_full	MAPK's networks and their capacity for multistationarity due to toric steady states
title_fullStr	MAPK's networks and their capacity for multistationarity due to toric steady states
title_full_unstemmed	MAPK's networks and their capacity for multistationarity due to toric steady states
title_sort	mapk's networks and their capacity for multistationarity due to toric steady states
url	http://hdl.handle.net/20.500.12110/paper_00255564_v262_n_p125_PerezMillan
work_keys_str_mv	AT perezmillanm mapksnetworksandtheircapacityformultistationarityduetotoricsteadystates AT turjanskiag mapksnetworksandtheircapacityformultistationarityduetotoricsteadystates
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MAPK's networks and their capacity for multistationarity due to toric steady states

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