Stability of multienzyme systems with feedback regulation: A graph theoretical approach

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 th...

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Bibliographic Details
Published inJournal of theoretical biology Vol. 112; no. 3; pp. 493 - 503
Main Authors Goldstein, B.N., Shevelev, E.L.
Format Journal Article
LanguageEnglish
Published Sidcup Elsevier Ltd 07.02.1985
Elsevier
Subjects
Analytical, structural and metabolic biochemistry
Applied sciences
Biological and medical sciences
Enzymes and enzyme inhibitors
Exact sciences and technology
Feedback
Fundamental and applied biological sciences. Psychology
General aspects, investigation methods
Kinetics
Mathematics
Multienzyme Complexes - metabolism
Other techniques and industries
Regulation(control)
Multienzyme complex
Feedback
Theory
Enzymatic system
Models
Retroinhibition
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Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0022-5193
1095-8541
DOI:10.1016/S0022-5193(85)80017-5