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  A computational approach to multistationarity of power-law kinetic systems

Hernandez, B. S., Mendoza, E. R., & de los Reyes V, A. A. (2020). A computational approach to multistationarity of power-law kinetic systems. JOURNAL OF MATHEMATICAL CHEMISTRY, 58, 56-87. doi:10.1007/s10910-019-01072-7.

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 Creators:
Hernandez, Bryan S.1, Author
Mendoza, Eduardo R.2, Author              
de los Reyes V, Aurelio A.1, Author
Affiliations:
1external, ou_persistent22              
2Oesterhelt, Dieter / Membrane Biochemistry, Max Planck Institute of Biochemistry, Max Planck Society, ou_1565164              

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Free keywords: FERMENTATION PATHWAY; REACTION NETWORKS; STEADY-STATES; EQUILIBRIAChemistry; Mathematics; Chemical reaction network theory; Power-law kinetics; Higher deficiency algorithm; Multistationarity; Anaerobic yeast fermentation pathway; Global carbon cycle model;
 Abstract: 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.

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Language(s): eng - English
 Dates: 20192020
 Publication Status: Published in print
 Pages: 32
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Degree: -

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Title: JOURNAL OF MATHEMATICAL CHEMISTRY
Source Genre: Journal
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Publ. Info: 233 SPRING ST, NEW YORK, NY 10013 USA : SPRINGER
Pages: - Volume / Issue: 58 Sequence Number: - Start / End Page: 56 - 87 Identifier: ISSN: 0259-9791