Analysis of complex balanced chemical reaction networks with fixed boundary concentrations

Author

Rao, Smitha ; van der Schaft, Arjan ; Jayawardhana, Bayu

Author_Institution

Center for Syst. Biol., Univ. of Groningen, Groningen, Netherlands

fYear

2013

fDate

10-13 Dec. 2013

Firstpage

3403

Lastpage

3408

Abstract

In this paper, we analyze the dynamics of complex balanced single-substrate single-product (SS) chemical reaction networks governed by mass-action kinetics with a carefully chosen set of boundary species fixed at constant concentrations. The remaining species of the reaction networks are allowed to have constant influx and/or proportional efflux. We show that such a network has a unique equilibrium concentration vector in the positive orthant and it is asymptotically stable. Using the maximum modulus principle for graphs, we provide bounds for this equilibrium.

Keywords

chemical reactions; network theory (graphs); vectors; boundary species; complex balanced chemical reaction networks; constant influx; equilibrium concentration vector; fixed boundary concentrations; graphs; mass-action kinetics; maximum modulus principle; positive orthant; proportional efflux; single-substrate single-product chemical reaction networks; Biochemistry; Bismuth; Chemicals; Equations; Kinetic theory; Laplace equations; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on

Conference_Location

Firenze

ISSN

0743-1546

Print_ISBN

978-1-4673-5714-2

Type

conf

DOI

10.1109/CDC.2013.6760404

Filename

6760404