Reaction networks and kinetics of biochemical systems
Issue Date
1-2017
Abstract
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.
Source or Periodical Title
Mathematical Biosciences
ISSN
0025-5564
Volume
283
Page
13-29
Document Type
Article
Language
English
Subject
Chemical reaction network, Complex factorizable kinetics, Embedded kinetic system, Embedded representation, Kinetic subspace, Kinetics set, Power law kinetics, Span surjective kinetics, Total kinetic system, Total representation
Recommended Citation
Arceo, C.P.P., Jose, E.C., Lao, A.R., Mendoza, E.R. (2017). Reaction Networks and Kinetics of Biochemical Systems. Mathematical Biosciences, 283, 13-29. DOI:10.1016/j.mbs.2016.10.004.
Identifier
DOI: 10.1016/j.mbs.2016.10.004.
Digital Copy
yes