English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
  Linear conjugacy of chemical kinetic systems

Nazareno, A. L., Eclarin, R. P. L., Mendoza, E. R., & Lao, A. R. (2019). Linear conjugacy of chemical kinetic systems. MATHEMATICAL BIOSCIENCES AND ENGINEERING, 16(6), 8322-8355. doi:10.3934/mbe.2019421.

Item is

Basic

show hide
Genre: Journal Article

Files

show Files
hide Files
:
mbe-16-06-421.pdf (Any fulltext), 2MB
Name:
mbe-16-06-421.pdf
Description:
-
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
Technical Metadata:
Copyright Date:
-
Copyright Info:
open access article
License:
-

Locators

show

Creators

show
hide
 Creators:
Nazareno, Allen L.1, Author
Eclarin, Raymond Paul L.1, Author
Mendoza, Eduardo R.2, Author              
Lao, Angelyn R.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; MASS-ACTION; COMPUTATIONAL APPROACH; PRECLUSIONMathematical & Computational Biology; linear conjugacy; chemical reaction network; chemical kinetic system; Johnston-Siegel Criterion; dynamical equivalence; rate constant-interaction function decomposable (RID);
 Abstract: Two networks are said to be linearly conjugate if the solution of their dynamic equations can be transformed into each other by a positive linear transformation. The study on dynamical equivalence in chemical kinetic systems was initiated by Craciun and Pantea in 2008 and eventually led to the Johnston-Siegel Criterion for linear conjugacy (JSC). Several studies have applied Mixed Integer Linear Programming (MILP) approach to generate linear conjugates of MAK (mass action kinetic) systems, Bio-CRNs (which is a subset of Hill-type kinetic systems when the network is restricted to digraphs), and PL-RDK (complex factorizable power law kinetic) systems. In this study, we present a general computational solution to construct linear conjugates of any "rate constant-interaction function decomposable" (RID) chemical kinetic systems, wherein each of its rate function is the product of a rate constant and an interaction function. We generate an extension of the JSC to the complex factorizable (CE) subset of RID kinetic systems and show that any non-complex factorizable (NE) RID kinetic system can be dynamically equivalent to a CF system via transformation. We show that linear conjugacy can be generated for any RID kinetic systems by applying the JSC to any NE kinetic system that are transformed to CF kinetic system.

Details

show
hide
Language(s): eng - English
 Dates: 2019
 Publication Status: Published in print
 Pages: 34
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: ISI: 000487331700113
DOI: 10.3934/mbe.2019421
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

show
hide
Title: MATHEMATICAL BIOSCIENCES AND ENGINEERING
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: PO BOX 2604, SPRINGFIELD, MO 65801-2604 USA : AMER INST MATHEMATICAL SCIENCES-AIMS
Pages: - Volume / Issue: 16 (6) Sequence Number: - Start / End Page: 8322 - 8355 Identifier: ISSN: 1547-1063