English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
  Fundamental Decompositions and Multistationarity of Power-Law Kinetic Systems

Hernandez, B. S., Mendoza, E. R., & de los Reyes V, A. A. (2020). Fundamental Decompositions and Multistationarity of Power-Law Kinetic Systems. MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 83(2), 403-434.

Item is

Basic

show hide
Genre: Journal Article

Files

show Files

Locators

show

Creators

show
hide
 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              

Content

show
hide
Free keywords: REACTION NETWORKS; DEFICIENCY-ZERO; STEADY-STATES
 Abstract: The fundamental decomposition of a chemical reaction network (also called its "F-decomposition") is the set of subnetworks generated by the partition of its set of reactions into the "fundamental classes" introduced by Ji and Feinberg in 2011 as the baths of their "higher deficiency algorithm" for mass action systems. The first part of this paper studies the properties of the F-decomposition, in particular, its independence (i.e., the network's stoichiometric subspace is the direct sum of the subnetworks' stoichiometric subspaces) and its incidence-independence (i.e., the image of the network's incidence map is the direct sum of the incidence maps' images of the subnetworks). We derive necessary and sufficient conditions for these properties and identify network classes where the F-decomposition coincides with other known decompositions. The second part of the paper applies the above-mentioned results to improve the Multistationarity Algorithm for power-law kinetic systems (MSA), a general computational approach that we introduced in previous work. We show that for systems with non-reactant determined interactions but with an independent F-decomposition, the transformation to a dynamically equivalent system with reactant-determined interactions - required in the original MSA - is not necessary. We illustrate this improvement with the subnetwork of Schmitz's carbon cycle model recently analyzed by Fortun et al.

Details

show
hide
Language(s): eng - English
 Dates: 2020
 Publication Status: Published in print
 Pages: 32
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: ISI: 000529089500009
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

show
hide
Title: MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: PO BOX 60, RADOJA DOMANOVICA 12, KRAGUJEVAC 34000, SERBIA : UNIV KRAGUJEVAC, FAC SCIENCE
Pages: - Volume / Issue: 83 (2) Sequence Number: - Start / End Page: 403 - 434 Identifier: ISSN: 0340-6253