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Steady State Detection of Chemical Reaction Networks Using a Simplified Analytical Method
by
Peláez-López, Antonio
, Villoslada, Pablo
, Martínez-Forero, Ivan
in
Analysis
/ Apoptosis
/ Applied mathematics
/ Cell death
/ Chemical reactions
/ Chemistry
/ Computational Biology
/ Computational Biology/Systems Biology
/ Differential equations
/ Dynamical systems
/ Evolution (Biology)
/ Evolutionary biology
/ Mathematical models
/ Mathematics
/ Mathematics/Algorithms
/ Methods
/ Models, Theoretical
/ Ordinary differential equations
/ Permeability
/ Phosphorylation
/ Polynomials
/ Stability
/ Steady state
2010
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Steady State Detection of Chemical Reaction Networks Using a Simplified Analytical Method
by
Peláez-López, Antonio
, Villoslada, Pablo
, Martínez-Forero, Ivan
in
Analysis
/ Apoptosis
/ Applied mathematics
/ Cell death
/ Chemical reactions
/ Chemistry
/ Computational Biology
/ Computational Biology/Systems Biology
/ Differential equations
/ Dynamical systems
/ Evolution (Biology)
/ Evolutionary biology
/ Mathematical models
/ Mathematics
/ Mathematics/Algorithms
/ Methods
/ Models, Theoretical
/ Ordinary differential equations
/ Permeability
/ Phosphorylation
/ Polynomials
/ Stability
/ Steady state
2010
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Do you wish to request the book?
Steady State Detection of Chemical Reaction Networks Using a Simplified Analytical Method
by
Peláez-López, Antonio
, Villoslada, Pablo
, Martínez-Forero, Ivan
in
Analysis
/ Apoptosis
/ Applied mathematics
/ Cell death
/ Chemical reactions
/ Chemistry
/ Computational Biology
/ Computational Biology/Systems Biology
/ Differential equations
/ Dynamical systems
/ Evolution (Biology)
/ Evolutionary biology
/ Mathematical models
/ Mathematics
/ Mathematics/Algorithms
/ Methods
/ Models, Theoretical
/ Ordinary differential equations
/ Permeability
/ Phosphorylation
/ Polynomials
/ Stability
/ Steady state
2010
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Steady State Detection of Chemical Reaction Networks Using a Simplified Analytical Method
Journal Article
Steady State Detection of Chemical Reaction Networks Using a Simplified Analytical Method
2010
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Overview
Chemical reaction networks (CRNs) are susceptible to mathematical modelling. The dynamic behavior of CRNs can be investigated by solving the polynomial equations derived from its structure. However, simple CRN give rise to non-linear polynomials that are difficult to resolve. Here we propose a procedure to locate the steady states of CRNs from a formula derived through algebraic geometry methods. We have applied this procedure to define the steady states of a classic CRN that exhibits instability, and to a model of programmed cell death.
Publisher
Public Library of Science,Public Library of Science (PLoS)
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