The Mathematics of Metabolic Control Analysis revisited

被引:69
作者
Visser, D [1 ]
Heijnen, JJ [1 ]
机构
[1] Delft Univ Technol, Kluyverlab Biotechnol, NL-2628 BC Delft, Netherlands
关键词
Metabolic Control Analysis; kinetic modeling; summation theorems; connectivity theorems; mass balances; linear kinetics;
D O I
10.1006/mben.2001.0216
中图分类号
Q81 [生物工程学(生物技术)]; Q93 [微生物学];
学科分类号
071005 ; 0836 ; 090102 ; 100705 ;
摘要
In this minireview, several different approaches to derivation of the theorems and relationships of Metabolic Control Analysis (MCA) are discussed and an alternative approach is presented. This new approach consists of solving the steady-state mass balances for the intracellular metabolites using linearized kinetics. The application of linearized kinetics reflects the fact that MCA is based on linearization of the system equations in a reference steady state. Our derivation is valid for metabolic networks of arbitrary complexity, including those containing conserved moieties and branches. The value of our approach is its simplicity: the derivation is straightforward and therefore easy to follow. It can serve as a compact introduction to the mathematical basis of MCA. (C) 2002 Elsevier Science (USA).
引用
收藏
页码:114 / 123
页数:10
相关论文
共 15 条
[1]   CONTROL ANALYSIS OF METABOLIC SYSTEMS [J].
BURNS, JA ;
CORNISHBOWDEN, A ;
GROEN, AK ;
HEINRICH, R ;
KACSER, H ;
PORTEOUS, JW ;
RAPOPORT, SM ;
RAPOPORT, TA ;
STUCKI, JW ;
TAGER, JM ;
WANDERS, RJA ;
WESTERHOFF, HV .
TRENDS IN BIOCHEMICAL SCIENCES, 1985, 10 (01) :16-16
[2]   USE OF IMPLICIT METHODS FROM GENERAL SENSITIVITY THEORY TO DEVELOP A SYSTEMATIC-APPROACH TO METABOLIC CONTROL .1. UNBRANCHED PATHWAYS [J].
CASCANTE, M ;
FRANCO, R ;
CANELA, EI .
MATHEMATICAL BIOSCIENCES, 1989, 94 (02) :271-288
[3]   USE OF IMPLICIT METHODS FROM GENERAL SENSITIVITY THEORY TO DEVELOP A SYSTEMATIC-APPROACH TO METABOLIC CONTROL .2. COMPLEX-SYSTEMS [J].
CASCANTE, M ;
FRANCO, R ;
CANELA, EI .
MATHEMATICAL BIOSCIENCES, 1989, 94 (02) :289-309
[4]   A general formalism for metabolic control analysis [J].
Ehlde, M ;
Zacchi, G .
CHEMICAL ENGINEERING SCIENCE, 1997, 52 (15) :2599-2606
[5]  
Fell D., 1997, Understanding the control of metabolism
[6]   METABOLIC CONTROL AND ITS ANALYSIS - ADDITIONAL RELATIONSHIPS BETWEEN ELASTICITIES AND CONTROL COEFFICIENTS [J].
FELL, DA ;
SAURO, HM .
EUROPEAN JOURNAL OF BIOCHEMISTRY, 1985, 148 (03) :555-561
[7]   METABOLIC CONTROL ANALYSIS - A SURVEY OF ITS THEORETICAL AND EXPERIMENTAL DEVELOPMENT [J].
FELL, DA .
BIOCHEMICAL JOURNAL, 1992, 286 :313-330
[8]   CONTROL ANALYSIS OF METABOLIC NETWORKS .2. TOTAL DIFFERENTIALS AND GENERAL FORMULATION OF THE CONNECTIVITY RELATIONS [J].
GIERSCH, C .
EUROPEAN JOURNAL OF BIOCHEMISTRY, 1988, 174 (03) :515-519
[9]   CONTROL ANALYSIS OF METABOLIC NETWORKS .1. HOMOGENEOUS FUNCTIONS AND THE SUMMATION THEOREMS FOR CONTROL COEFFICIENTS [J].
GIERSCH, C .
EUROPEAN JOURNAL OF BIOCHEMISTRY, 1988, 174 (03) :509-513
[10]   LINEAR STEADY-STATE TREATMENT OF ENZYMATIC CHAINS - GENERAL PROPERTIES, CONTROL AND EFFECTOR STRENGTH [J].
HEINRICH, R ;
RAPOPORT, TA .
EUROPEAN JOURNAL OF BIOCHEMISTRY, 1974, 42 (01) :89-95