A deficiency-one algorithm for power-law kinetic systems with reactant-determined interactions
College
College of Science
Department/Unit
Mathematics and Statistics Department
Document Type
Article
Source Title
Journal of Mathematical Chemistry
Volume
56
Issue
10
First Page
2929
Last Page
2962
Publication Date
11-1-2018
Abstract
This paper addresses the problem of determining the capacity of a deficiency-one network, endowed with rate laws more general than mass action kinetics, to admit multiple positive steady states—that is, whether there exist rate constants such that the corresponding differential equations admit two distinct stoichiometrically compatible steady states where all concentrations are positive. We extend the Deficiency-One Algorithm of M. Feinberg to deal with PL-RDK systems, which are kinetic systems with power-law rate functions whose kinetic orders are identical for reactions with the same reactant complex. The algorithm is applied to a power-law approximation of the Earth’s pre-industrial carbon cycle model, which gave the original motivation for our study. © 2018, Springer International Publishing AG, part of Springer Nature.
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Digitial Object Identifier (DOI)
10.1007/s10910-018-0925-2
Recommended Citation
Fortun, N. T., Mendoza, E. R., Razon, L. F., & Lao, A. R. (2018). A deficiency-one algorithm for power-law kinetic systems with reactant-determined interactions. Journal of Mathematical Chemistry, 56 (10), 2929-2962. https://doi.org/10.1007/s10910-018-0925-2
Disciplines
Chemistry | Mathematics
Keywords
Carbon cycle (Biogeochemistry); Chemical kinetics; Equilibrium
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