A computational approach to multistationarity of power-law kinetic systems

This paper presents a computational solution to determine if a chemical reaction network endowed with power-law kinetics (PLK system) has the capacity for multistationarity, i.e., whether there exist positive rate constants such that the corresponding differential equations admit multiple positive s...

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Main Authors: Hernandez, Bryan S., Mendoza, Eduardo R., de los Reyes, Aurelio A.
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Published: Animo Repository 2020
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Online Access:https://animorepository.dlsu.edu.ph/faculty_research/3982
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spelling oai:animorepository.dlsu.edu.ph:faculty_research-48672021-07-13T06:52:43Z A computational approach to multistationarity of power-law kinetic systems Hernandez, Bryan S. Mendoza, Eduardo R. de los Reyes, Aurelio A. This paper presents a computational solution to determine if a chemical reaction network endowed with power-law kinetics (PLK system) has the capacity for multistationarity, i.e., whether there exist positive rate constants such that the corresponding differential equations admit multiple positive steady states within a stoichiometric class. The approach, which is called the “Multistationarity Algorithm for PLK systems” (MSA), combines (i) the extension of the “higher deficiency algorithm” of Ji and Feinberg for mass action to PLK systems with reactant-determined interactions, and (ii) a method that transforms any PLK system to a dynamically equivalent one with reactant-determined interactions. Using this algorithm, we obtain two new results: the monostationarity of a popular model of anaerobic yeast fermentation pathway, and the multistationarity of a global carbon cycle model with climate engineering, both in the generalized mass action format of biochemical systems theory. We also provide examples of the broader scope of our approach for deficiency one PLK systems in comparison to the extension of Feinberg’s “deficiency one algorithm” to such systems. © 2019, Springer Nature Switzerland AG. 2020-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/faculty_research/3982 info:doi/10.1007/s10910-019-01072-7 Faculty Research Work Animo Repository Carbon cycle (Biogeochemistry) Chemical reactions Yeast Mathematics Statistics and Probability
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 Carbon cycle (Biogeochemistry)
Chemical reactions
Yeast
Mathematics
Statistics and Probability
spellingShingle Carbon cycle (Biogeochemistry)
Chemical reactions
Yeast
Mathematics
Statistics and Probability
Hernandez, Bryan S.
Mendoza, Eduardo R.
de los Reyes, Aurelio A.
A computational approach to multistationarity of power-law kinetic systems
description This paper presents a computational solution to determine if a chemical reaction network endowed with power-law kinetics (PLK system) has the capacity for multistationarity, i.e., whether there exist positive rate constants such that the corresponding differential equations admit multiple positive steady states within a stoichiometric class. The approach, which is called the “Multistationarity Algorithm for PLK systems” (MSA), combines (i) the extension of the “higher deficiency algorithm” of Ji and Feinberg for mass action to PLK systems with reactant-determined interactions, and (ii) a method that transforms any PLK system to a dynamically equivalent one with reactant-determined interactions. Using this algorithm, we obtain two new results: the monostationarity of a popular model of anaerobic yeast fermentation pathway, and the multistationarity of a global carbon cycle model with climate engineering, both in the generalized mass action format of biochemical systems theory. We also provide examples of the broader scope of our approach for deficiency one PLK systems in comparison to the extension of Feinberg’s “deficiency one algorithm” to such systems. © 2019, Springer Nature Switzerland AG.
format text
author Hernandez, Bryan S.
Mendoza, Eduardo R.
de los Reyes, Aurelio A.
author_facet Hernandez, Bryan S.
Mendoza, Eduardo R.
de los Reyes, Aurelio A.
author_sort Hernandez, Bryan S.
title A computational approach to multistationarity of power-law kinetic systems
title_short A computational approach to multistationarity of power-law kinetic systems
title_full A computational approach to multistationarity of power-law kinetic systems
title_fullStr A computational approach to multistationarity of power-law kinetic systems
title_full_unstemmed A computational approach to multistationarity of power-law kinetic systems
title_sort computational approach to multistationarity of power-law kinetic systems
publisher Animo Repository
publishDate 2020
url https://animorepository.dlsu.edu.ph/faculty_research/3982
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