Vlad, Marcel O. and Ross, John (2009) Thermodynamically based constraints for rate coefficients of large biochemical networks. WILEY INTERDISCIPLINARY REVIEWS-SYSTEMS BIOLOGY AND MEDICINE, 1 (3). pp. 348-358. ISSN 1939-5094,
Full text not available from this repository. (Request a copy)Abstract
Wegscheider cyclicity conditions are relationships among the rate coefficients of a complex reaction network, which ensure the compatibility of kinetic equations with the conditions for thermodynamic equilibrium. The detailed balance at equilibrium, that is the equilibration of forward and backward rates for each elementary reaction, leads to compatibility between the conditions of kinetic and thermodynamic equilibrium. Therefore, Wegscheider cyclicity conditions can be derived by eliminating the equilibrium concentrations from the conditions of detailed balance. We develop matrix algebra tools needed to carry out this elimination, reexamine an old derivation of the general form of Wegscheider cyclicity condition, and develop new derivations which lead to more compact and easier-to-use formulas. We derive scaling laws for the nonequilibrium rates of a complex reaction network, which include Wegscheider conditions as a particular case. The scaling laws for the rates are used for clarifying the kinetic and thermodynamic meaning of Wegscheider cyclicity conditions. Finally, we discuss different ways of using Wegscheider cyclicity conditions for kinetic computations in systems biology. (C) 2009 John Wiley & Sons, Inc. WIREs Syst Biol Med 2009 1 348-358
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | COMPLEX-REACTION MECHANISMS; IRREVERSIBLE-PROCESSES; RECIPROCAL RELATIONS; CYCLICITY CONDITIONS; METABOLIC NETWORKS; GENERAL-FORM; KINETICS; SYSTEMS; REVERSIBILITY; EQUILIBRIUM; |
| Subjects: | 600 Technology > 610 Medical sciences Medicine |
| Divisions: | Medicine > Institut für Funktionelle Genomik > Lehrstuhl für Funktionelle Genomik (Prof. Oefner) |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 03 Sep 2020 04:58 |
| Last Modified: | 03 Sep 2020 04:58 |
| URI: | https://pred.uni-regensburg.de/id/eprint/28248 |
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