Control Analysis of Transition Times. Extension of Analysis and Matrix Method

Overview

Journal Mol Cell Biochem

Publisher Springer

Specialty Biochemistry

Date 1991 Feb 27

PMID 1826339

Citations 2

Authors

M Cascante

N V Torres

R Franco

E I Canela

Affiliations

Soon will be listed here.

Abstract

The present theoretical basis of Control Analysis is extended with the definition of Transition Time Response Coefficients. Some new relationships between local and global coefficients defined in Control Analysis are presented. These relationships are in the form of matrix products constructed in a priori form. The use of these straightforward relationships is shown in an exemplary application corresponding to an experimental system consisting of the glycolytic degradation from glucose to glyceraldehyde-3-phosphate.

Citing Articles

Control analysis of rat liver glycolysis under different glucose concentrations. The substrate approach and the role of glucokinase.

Mateo F, Torres N Mol Cell Biochem. 1992; 115(1):1-9.

PMID: 1435758 DOI: 10.1007/BF00229089.

Transition time control analysis of a glycolytic system under different glucose concentrations. Control of transition time versus control of flux.

Torres N Mol Cell Biochem. 1992; 112(2):109-15.

PMID: 1386406 DOI: 10.1007/BF00227567.

References

. Kinetics of metabolic pathways. Transient response of the glycolytic system after phosphofructokinase reaction to ADP input. Int J Biochem. 1988; 20(1):29-33. DOI: 10.1016/0020-711x(88)90006-7. View

Heinrich R, Rapoport T . A linear steady-state treatment of enzymatic chains. General properties, control and effector strength. Eur J Biochem. 1974; 42(1):89-95. DOI: 10.1111/j.1432-1033.1974.tb03318.x. View

HERS H, Hue L . Gluconeogenesis and related aspects of glycolysis. Annu Rev Biochem. 1983; 52:617-53. DOI: 10.1146/annurev.bi.52.070183.003153. View

Sauro H, KACSER H . Enzyme-enzyme interactions and control analysis. 2. The case of non-independence: heterologous associations. Eur J Biochem. 1990; 187(3):493-500. DOI: 10.1111/j.1432-1033.1990.tb15330.x. View

KACSER H, Sauro H, Acerenza L . Enzyme-enzyme interactions and control analysis. 1. The case of non-additivity: monomer-oligomer associations. Eur J Biochem. 1990; 187(3):481-91. DOI: 10.1111/j.1432-1033.1990.tb15329.x. View

Sauro H, Small J, Fell D . Metabolic control and its analysis. Extensions to the theory and matrix method. Eur J Biochem. 1987; 165(1):215-21. DOI: 10.1111/j.1432-1033.1987.tb11214.x. View

Fell D, Sauro H . Metabolic control and its analysis. Additional relationships between elasticities and control coefficients. Eur J Biochem. 1985; 148(3):555-61. DOI: 10.1111/j.1432-1033.1985.tb08876.x. View

HERS H, Van Schaftingen E . Fructose 2,6-bisphosphate 2 years after its discovery. Biochem J. 1982; 206(1):1-12. PMC: 1158542. DOI: 10.1042/bj2060001. View

Giersch C . Control analysis of biochemical pathways: a novel procedure for calculating control coefficients, and an additional theorem for branched pathways. J Theor Biol. 1988; 134(4):451-62. DOI: 10.1016/s0022-5193(88)80051-1. View

10.

Acerenza L, Sauro H, KACSER H . Control analysis of time-dependent metabolic systems. J Theor Biol. 1989; 137(4):423-44. DOI: 10.1016/s0022-5193(89)80038-4. View

11.

Torres N, Sicilia J, KACSER H . Control analysis of transition times in metabolic systems. Biochem J. 1990; 265(1):195-202. PMC: 1136630. DOI: 10.1042/bj2650195. View

12.

Easterby J . The analysis of metabolite channelling in multienzyme complexes and multifunctional proteins. Biochem J. 1989; 264(2):605-7. PMC: 1133622. DOI: 10.1042/bj2640605. View

13.

Cascante M, Franco R, Canela E . Use of implicit methods from general sensitivity theory to develop a systematic approach to metabolic control. I. Unbranched pathways. Math Biosci. 1989; 94(2):271-88. DOI: 10.1016/0025-5564(89)90067-9. View

14.

Easterby J . A generalized theory of the transition time for sequential enzyme reactions. Biochem J. 1981; 199(1):155-61. PMC: 1163345. DOI: 10.1042/bj1990155. View

15.

Heinrich R, Rapoport T . Mathematical analysis of multienzyme systems. II. Steady state and transient control. Biosystems. 1975; 7(1):130-6. DOI: 10.1016/0303-2647(75)90050-7. View

16.

Torres N, Mateo F, KACSER H . Kinetics of metabolic pathways. A system in vitro to study the control of flux. Biochem J. 1986; 234(1):169-74. PMC: 1146541. DOI: 10.1042/bj2340169. View

17.

Cascante M, Franco R, Canela E . Use of implicit methods from general sensitivity theory to develop a systematic approach to metabolic control. II. Complex systems. Math Biosci. 1989; 94(2):289-309. DOI: 10.1016/0025-5564(89)90068-0. View

18.

KACSER H, Burns J . The control of flux. Symp Soc Exp Biol. 1973; 27:65-104. View

19.

Torres N, Souto R . Study of the flux and transition time control coefficient profiles in a metabolic system in vitro and the effect of an external stimulator. Biochem J. 1989; 260(3):763-9. PMC: 1138742. DOI: 10.1042/bj2600763. View