A comparison of variant theories of intact biochemical systems. II. flux-oriented and metabolic control theories

Albert Sorribas, Michael A. Savageau

Research output: Contribution to journalArticle

48 Citations (Scopus)

Abstract

In the past two decades, several theories, all ultimately based upon the same power-law formalism, have been proposed to relate the behavior of intact biochemical system to the properties of their underlying determinants. Confusion concerning the relatedness of these alternatives has become acute because the implications of these theories have never been compared. In the preceding paper we characterized a specific system involving enzyme- enzyme interactions for reference in comparing alternative theories. We also analyzed the reference system by using an explicit variant that involves the S-system representation within biochemical systems theory (BST). We now analyze the same reference system according to two other variants within BST. First, we carry out the analysis by using an explicit variant that involves the generalized mass action representation, which includes the flux-oriented theory of Crabtee and Newsholme as a special case. Second, we carry out the analysis by using an implicit variant that involves the generalized mass action representation, which includes the metabolic control theory of Kacser and his colleagues as a special case. The explicit variants are found to provide a more complete characterization of the reference system that the implicit variants. Within each of these variant classes, the S-system representation is shown to be more mathematically tractable and accurate than the generalized mass action representation. The results allow one to make clear distinctions among the variant theories.

Original languageEnglish (US)
Pages (from-to)195-238
Number of pages44
JournalMathematical Biosciences
Volume94
Issue number2
DOIs
StatePublished - 1989
Externally publishedYes

Fingerprint

Systems Theory
System theory
Control theory
Control Theory
Enzymes
Fluxes
S-system
enzymes
enzyme
Alternatives
Acute
Determinant
Power Law
relatedness
comparison
power law
Interaction

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)
  • Ecology, Evolution, Behavior and Systematics

Cite this

A comparison of variant theories of intact biochemical systems. II. flux-oriented and metabolic control theories. / Sorribas, Albert; Savageau, Michael A.

In: Mathematical Biosciences, Vol. 94, No. 2, 1989, p. 195-238.

Research output: Contribution to journalArticle

@article{0c17af558c0048c6af7642e333673194,
title = "A comparison of variant theories of intact biochemical systems. II. flux-oriented and metabolic control theories",
abstract = "In the past two decades, several theories, all ultimately based upon the same power-law formalism, have been proposed to relate the behavior of intact biochemical system to the properties of their underlying determinants. Confusion concerning the relatedness of these alternatives has become acute because the implications of these theories have never been compared. In the preceding paper we characterized a specific system involving enzyme- enzyme interactions for reference in comparing alternative theories. We also analyzed the reference system by using an explicit variant that involves the S-system representation within biochemical systems theory (BST). We now analyze the same reference system according to two other variants within BST. First, we carry out the analysis by using an explicit variant that involves the generalized mass action representation, which includes the flux-oriented theory of Crabtee and Newsholme as a special case. Second, we carry out the analysis by using an implicit variant that involves the generalized mass action representation, which includes the metabolic control theory of Kacser and his colleagues as a special case. The explicit variants are found to provide a more complete characterization of the reference system that the implicit variants. Within each of these variant classes, the S-system representation is shown to be more mathematically tractable and accurate than the generalized mass action representation. The results allow one to make clear distinctions among the variant theories.",
author = "Albert Sorribas and Savageau, {Michael A.}",
year = "1989",
doi = "10.1016/0025-5564(89)90065-5",
language = "English (US)",
volume = "94",
pages = "195--238",
journal = "Mathematical Biosciences",
issn = "0025-5564",
publisher = "Elsevier Inc.",
number = "2",

}

TY - JOUR

T1 - A comparison of variant theories of intact biochemical systems. II. flux-oriented and metabolic control theories

AU - Sorribas, Albert

AU - Savageau, Michael A.

PY - 1989

Y1 - 1989

N2 - In the past two decades, several theories, all ultimately based upon the same power-law formalism, have been proposed to relate the behavior of intact biochemical system to the properties of their underlying determinants. Confusion concerning the relatedness of these alternatives has become acute because the implications of these theories have never been compared. In the preceding paper we characterized a specific system involving enzyme- enzyme interactions for reference in comparing alternative theories. We also analyzed the reference system by using an explicit variant that involves the S-system representation within biochemical systems theory (BST). We now analyze the same reference system according to two other variants within BST. First, we carry out the analysis by using an explicit variant that involves the generalized mass action representation, which includes the flux-oriented theory of Crabtee and Newsholme as a special case. Second, we carry out the analysis by using an implicit variant that involves the generalized mass action representation, which includes the metabolic control theory of Kacser and his colleagues as a special case. The explicit variants are found to provide a more complete characterization of the reference system that the implicit variants. Within each of these variant classes, the S-system representation is shown to be more mathematically tractable and accurate than the generalized mass action representation. The results allow one to make clear distinctions among the variant theories.

AB - In the past two decades, several theories, all ultimately based upon the same power-law formalism, have been proposed to relate the behavior of intact biochemical system to the properties of their underlying determinants. Confusion concerning the relatedness of these alternatives has become acute because the implications of these theories have never been compared. In the preceding paper we characterized a specific system involving enzyme- enzyme interactions for reference in comparing alternative theories. We also analyzed the reference system by using an explicit variant that involves the S-system representation within biochemical systems theory (BST). We now analyze the same reference system according to two other variants within BST. First, we carry out the analysis by using an explicit variant that involves the generalized mass action representation, which includes the flux-oriented theory of Crabtee and Newsholme as a special case. Second, we carry out the analysis by using an implicit variant that involves the generalized mass action representation, which includes the metabolic control theory of Kacser and his colleagues as a special case. The explicit variants are found to provide a more complete characterization of the reference system that the implicit variants. Within each of these variant classes, the S-system representation is shown to be more mathematically tractable and accurate than the generalized mass action representation. The results allow one to make clear distinctions among the variant theories.

UR - http://www.scopus.com/inward/record.url?scp=0024673624&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0024673624&partnerID=8YFLogxK

U2 - 10.1016/0025-5564(89)90065-5

DO - 10.1016/0025-5564(89)90065-5

M3 - Article

C2 - 2520169

AN - SCOPUS:0024673624

VL - 94

SP - 195

EP - 238

JO - Mathematical Biosciences

JF - Mathematical Biosciences

SN - 0025-5564

IS - 2

ER -