Reaction networks and kinetics of biochemical systems

This paper further develops the connection between Chemical Reaction Network Theory (CRNT) and Biochemical Systems Theory (BST) that we recently introduced [1]. We first use algebraic properties of kinetic sets to study the set of complex factorizable kinetics CFK(N) on a CRN, which shares many char...

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Main Authors: Arceo, Carlene Perpetua P., Jose, Editha C., Lao, Angelyn R., Mendoza, Eduardo R.
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Online Access:https://animorepository.dlsu.edu.ph/faculty_research/2617
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spelling oai:animorepository.dlsu.edu.ph:faculty_research-36162021-10-20T01:04:20Z Reaction networks and kinetics of biochemical systems Arceo, Carlene Perpetua P. Jose, Editha C. Lao, Angelyn R. Mendoza, Eduardo R. This paper further develops the connection between Chemical Reaction Network Theory (CRNT) and Biochemical Systems Theory (BST) that we recently introduced [1]. We first use algebraic properties of kinetic sets to study the set of complex factorizable kinetics CFK(N) on a CRN, which shares many characteristics with its subset of mass action kinetics. In particular, we extend the Theorem of Feinberg-Horn [9] on the coincidence of the kinetic and stoichiometric subsets of a mass action system to CF kinetics, using the concept of span surjectivity. We also introduce the branching type of a network, which determines the availability of kinetics on it and allows us to characterize the networks for which all kinetics are complex factorizable: A “Kinetics Landscape” provides an overview of kinetics sets, their algebraic properties and containment relationships. We then apply our results and those (of other CRNT researchers) reviewed in [1] to fifteen BST models of complex biological systems and discover novel network and kinetic properties that so far have not been widely studied in CRNT. In our view, these findings show an important benefit of connecting CRNT and BST modeling efforts. © 2016 Elsevier Inc. 2017-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/faculty_research/2617 Faculty Research Work Animo Repository Chemical kinetics Dynamics Biochemistry Mathematics Physical Sciences and Mathematics
institution De La Salle University
building De La Salle University Library
continent Asia
country Philippines
Philippines
content_provider De La Salle University Library
collection DLSU Institutional Repository
topic Chemical kinetics
Dynamics
Biochemistry
Mathematics
Physical Sciences and Mathematics
spellingShingle Chemical kinetics
Dynamics
Biochemistry
Mathematics
Physical Sciences and Mathematics
Arceo, Carlene Perpetua P.
Jose, Editha C.
Lao, Angelyn R.
Mendoza, Eduardo R.
Reaction networks and kinetics of biochemical systems
description This paper further develops the connection between Chemical Reaction Network Theory (CRNT) and Biochemical Systems Theory (BST) that we recently introduced [1]. We first use algebraic properties of kinetic sets to study the set of complex factorizable kinetics CFK(N) on a CRN, which shares many characteristics with its subset of mass action kinetics. In particular, we extend the Theorem of Feinberg-Horn [9] on the coincidence of the kinetic and stoichiometric subsets of a mass action system to CF kinetics, using the concept of span surjectivity. We also introduce the branching type of a network, which determines the availability of kinetics on it and allows us to characterize the networks for which all kinetics are complex factorizable: A “Kinetics Landscape” provides an overview of kinetics sets, their algebraic properties and containment relationships. We then apply our results and those (of other CRNT researchers) reviewed in [1] to fifteen BST models of complex biological systems and discover novel network and kinetic properties that so far have not been widely studied in CRNT. In our view, these findings show an important benefit of connecting CRNT and BST modeling efforts. © 2016 Elsevier Inc.
format text
author Arceo, Carlene Perpetua P.
Jose, Editha C.
Lao, Angelyn R.
Mendoza, Eduardo R.
author_facet Arceo, Carlene Perpetua P.
Jose, Editha C.
Lao, Angelyn R.
Mendoza, Eduardo R.
author_sort Arceo, Carlene Perpetua P.
title Reaction networks and kinetics of biochemical systems
title_short Reaction networks and kinetics of biochemical systems
title_full Reaction networks and kinetics of biochemical systems
title_fullStr Reaction networks and kinetics of biochemical systems
title_full_unstemmed Reaction networks and kinetics of biochemical systems
title_sort reaction networks and kinetics of biochemical systems
publisher Animo Repository
publishDate 2017
url https://animorepository.dlsu.edu.ph/faculty_research/2617
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