Journal of Mathematical Chemistry

, Volume 6, Issue 1, pp 17–40

Detecting strictly detailed balanced subnetworks in open chemical reaction networks

  • Stefan Schuster
  • Ronny Schuster

DOI: 10.1007/BF01192571

Cite this article as:
Schuster, S. & Schuster, R. J Math Chem (1991) 6: 17. doi:10.1007/BF01192571


The notion “strictly detailed balanced subnetwork” is introduced, for chemical reaction networks which are open and spatially homogeneous, to refer to any set of reactions the net rates of which vanish in each asymptotically stable steady state, regardless of the kinetic parameters of any reaction in the whole network. Necessary and sufficient conditions for sets of reactions to be strictly detailed balanced subnetworks are derived. An algorithm for detecting all reactions belonging to such subnetworks in systems of arbitrary stoichiometry is given, justified and applied to a realistic biochemical system. A computer program in PASCAL, performing the essential parts of this algorithm, is added.

Copyright information

© J.C. Baltzer A.G., Scientific Publishing Company 1991

Authors and Affiliations

  • Stefan Schuster
    • 1
  • Ronny Schuster
    • 2
  1. 1.Sektion Biologie, Bereich BiophysikHumboldt-Universität zu BerlinBerlinGermany
  2. 2.Institut für Biochemie, Humboldt-Universität zu BerlinBerlinGermany

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