Goldstein BN, Shevelev EL. Stability of multienzyme systems with feedback regulation: a graph theoretical approach.
J Theor Biol 1985;
112:493-503. [PMID:
3982050 DOI:
10.1016/s0022-5193(85)80017-5]
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Abstract
Stability of multienzyme systems with feedback regulation has been analyzed on the basis of the Lienard-Chipart criteria. The rules governing the topological graph construction for multienzyme systems have been developed. A theorem about correspondence of the graph constructed and coefficients of the characteristic polynomial of linearized kinetic equations is proved. The graph-theoretical stability analysis proposed is illustrated by a number of examples of multienzyme systems with feedback regulation.
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