A deficiency zero theorem for a class of power–law kinetic systems with non–reactant–determined interactions

The Deficiency Zero Theorem (DZT) provides definitive results about the dynamical behavior of chemical reaction networks with deficiency zero. Thus far, the available DZTs only apply to classes of power-law kinetic systems with reactant-determined interactions (i.e., the kinetic order vectors of the...

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Main Authors: Fortun, Noel T., Mendoza, Eduardo R., Razon, Luis F., Lao, Angelyn R.
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Published: Animo Repository 2019
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Online Access:https://animorepository.dlsu.edu.ph/faculty_research/415
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spelling oai:animorepository.dlsu.edu.ph:faculty_research-14142021-12-14T02:34:13Z A deficiency zero theorem for a class of power–law kinetic systems with non–reactant–determined interactions Fortun, Noel T. Mendoza, Eduardo R. Razon, Luis F. Lao, Angelyn R. The Deficiency Zero Theorem (DZT) provides definitive results about the dynamical behavior of chemical reaction networks with deficiency zero. Thus far, the available DZTs only apply to classes of power-law kinetic systems with reactant-determined interactions (i.e., the kinetic order vectors of the branching reactions of a reactant complex are identical). In this paper, we present the first DZT valid for a class of power-law systems with non-reactant-determined interactions (i.e., there are reactant complexes whose branching reactions have different kinetic order vectors). This class of power-law systems is characterized here by a decomposition into subnetworks with specific properties of their stoichiometric and reactant subspaces, as well as their kinetics. We illustrate our results to a power-law system of a pre-industrial carbon cycle model, from which we abstracted the properties of the above-mentioned decomposition. Specifically, our DZT is applied to a subnetwork of the carbon cycle system to describe the subnetwork’s steady states. It is also shown that the qualitative dynamical properties of the subnetwork may be lifted to the entire network of pre-industrial carbon cycle. © 2019 University of Kragujevac, Faculty of Science. All rights reserved. 2019-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/faculty_research/415 Faculty Research Work Animo Repository Chemical kinetics Carbon cycle (Biogeochemistry) 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
Carbon cycle (Biogeochemistry)
Physical Sciences and Mathematics
spellingShingle Chemical kinetics
Carbon cycle (Biogeochemistry)
Physical Sciences and Mathematics
Fortun, Noel T.
Mendoza, Eduardo R.
Razon, Luis F.
Lao, Angelyn R.
A deficiency zero theorem for a class of power–law kinetic systems with non–reactant–determined interactions
description The Deficiency Zero Theorem (DZT) provides definitive results about the dynamical behavior of chemical reaction networks with deficiency zero. Thus far, the available DZTs only apply to classes of power-law kinetic systems with reactant-determined interactions (i.e., the kinetic order vectors of the branching reactions of a reactant complex are identical). In this paper, we present the first DZT valid for a class of power-law systems with non-reactant-determined interactions (i.e., there are reactant complexes whose branching reactions have different kinetic order vectors). This class of power-law systems is characterized here by a decomposition into subnetworks with specific properties of their stoichiometric and reactant subspaces, as well as their kinetics. We illustrate our results to a power-law system of a pre-industrial carbon cycle model, from which we abstracted the properties of the above-mentioned decomposition. Specifically, our DZT is applied to a subnetwork of the carbon cycle system to describe the subnetwork’s steady states. It is also shown that the qualitative dynamical properties of the subnetwork may be lifted to the entire network of pre-industrial carbon cycle. © 2019 University of Kragujevac, Faculty of Science. All rights reserved.
format text
author Fortun, Noel T.
Mendoza, Eduardo R.
Razon, Luis F.
Lao, Angelyn R.
author_facet Fortun, Noel T.
Mendoza, Eduardo R.
Razon, Luis F.
Lao, Angelyn R.
author_sort Fortun, Noel T.
title A deficiency zero theorem for a class of power–law kinetic systems with non–reactant–determined interactions
title_short A deficiency zero theorem for a class of power–law kinetic systems with non–reactant–determined interactions
title_full A deficiency zero theorem for a class of power–law kinetic systems with non–reactant–determined interactions
title_fullStr A deficiency zero theorem for a class of power–law kinetic systems with non–reactant–determined interactions
title_full_unstemmed A deficiency zero theorem for a class of power–law kinetic systems with non–reactant–determined interactions
title_sort deficiency zero theorem for a class of power–law kinetic systems with non–reactant–determined interactions
publisher Animo Repository
publishDate 2019
url https://animorepository.dlsu.edu.ph/faculty_research/415
_version_ 1720527926568419328