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Control analysis of time-dependent metabolic systems.

L Acerenza1, H M Sauro, H Kacser

  • 1Department of Genetics, University of Edinburgh, Scotland.

Journal of Theoretical Biology
|April 20, 1989
PubMed
Summary

This study extends Metabolic Control Analysis to time-dependent systems, introducing a new "time coefficient." It establishes summation and connectivity theorems for dynamic metabolic pathways, crucial for understanding enzyme regulation.

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Area of Science:

  • Biochemistry
  • Systems Biology
  • Metabolic Engineering

Background:

  • Metabolic Control Analysis (MCA) traditionally focuses on steady-state metabolic systems.
  • Dynamic metabolic systems require extensions to MCA for comprehensive analysis.
  • Understanding enzyme concentration effects on metabolic pathway dynamics is essential.

Purpose of the Study:

  • To extend Metabolic Control Analysis (MCA) to time-dependent metabolic systems.
  • To define and incorporate a novel
  • time coefficient
  • into MCA frameworks.
  • To derive general summation and connectivity theorems for dynamic metabolic pathways.

Main Methods:

  • Formulating metabolite concentration derivatives as linear combinations of first-order rate laws.

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  • Extending definitions of control and elasticity coefficients for dynamic systems.
  • Proving that simultaneous enzyme concentration scaling is equivalent to time scale modification.
  • Main Results:

    • A new
    • time coefficient
    • (T) is defined for dynamic systems.
    • Summation theorems linking control and time coefficients were derived.
    • Connectivity theorems relating control and elasticity coefficients were established for unbranched pathways.
    • A matrix-based mathematical proof for these relationships in time-dependent systems was provided.

    Conclusions:

    • The extended MCA framework provides new tools for analyzing dynamic metabolic control.
    • The derived theorems offer a method to express control coefficients using elasticity and time coefficients.
    • This work is foundational for understanding enzyme regulation in dynamic metabolic networks.