Extended detailed balance for systems with irreversible reactions

作者: A.N. Gorban , G.S. Yablonsky

DOI: 10.1016/J.CES.2011.07.054

关键词:

摘要: The principle of detailed balance states that in equilibrium each elementary process is equilibrated by its reverse process. For many real physico-chemical complex systems (e.g. homogeneous combustion, heterogeneous catalytic oxidation, most enzyme reactions, etc.), mechanisms include both reversible and irreversible reactions. In this case, the cannot be applied directly. We represent reactions as limits steps obtain for with some processes. prove two consequences these mechanisms: structural condition algebraic form together extended balance. part. convex hull stoichiometric vectors has empty intersection linear span Physically, means included oriented cyclic pathways. are also when concentrations (or activities) tend to zero. Surprisingly, structure limit reaction mechanism crucially depends on relative speeds tendency

参考文章(26)
J.M. Moe, Design of water-gas shift reactors Chem. Eng. Prog.; (United States). ,(1962)
H. H. Lowry, Chemistry of coal utilization John Wiley & sons. ,(1963)
Andrew V. Zeigarnik, Oleg N. Temkin, Danail Bonchev, Chemical Reaction Networks: A Graph-Theoretical Approach ,(1996)
Komei Fukuda, Alain Prodon, Double Description Method Revisited Selected papers from the 8th Franco-Japanese and 4th Franco-Chinese Conference on Combinatorics and Computer Science. pp. 91- 111 ,(1995) , 10.1007/3-540-61576-8_77
Julien Gagneur, Steffen Klamt, Computation of elementary modes : a unifying framework and the new binary approach BMC Bioinformatics. ,vol. 5, pp. 175- 175 ,(2004) , 10.1186/1471-2105-5-175
Stefan Schuster, David A. Fell, Thomas Dandekar, A general definition of metabolic pathways useful for systematic organization and analysis of complex metabolic networks. Nature Biotechnology. ,vol. 18, pp. 326- 332 ,(2000) , 10.1038/73786
John Tsitsiklis, Dimitris Bertsimas, Introduction to linear optimization ,(1997)
Lars Onsager, Reciprocal Relations in Irreversible Processes. II. Physical Review. ,vol. 38, pp. 2265- 2279 ,(1931) , 10.1103/PHYSREV.38.2265
Juro Horiuti, THEORY OF REACTION RATES AS BASED ON THE STOICHIOMETRIC NUMBER CONCEPT Annals of the New York Academy of Sciences. ,vol. 213, pp. 5- 30 ,(1973) , 10.1111/J.1749-6632.1973.TB51052.X