Rudán, János and Szederkényi, Gábor and Hangos, Katalin and Péni, Tamás (2014) Polynomial time algorithms to determine weakly reversible realizations of chemical reaction networks. JOURNAL OF MATHEMATICAL CHEMISTRY, 52 (5). pp. 1386-1404. ISSN 0259-9791 10.1007/s10910-014-0318-0

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Abstract

Weak reversibility is a crucial structural property of chemical reaction networks (CRNs) with mass action kinetics, because it has major implications related to the existence, uniqueness and stability of equilibrium points and to the boundedness of solutions. In this paper, we present two new algorithms to find dynamically equivalent weakly reversible realizations of a given CRN. They are based on linear programming and thus have polynomial time-complexity. Hence, these algorithms can deal with large-scale biochemical reaction networks, too. Furthermore, one of the methods is able to deal with linearly conjugate networks, too. © 2014 Springer International Publishing Switzerland.

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