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Graph-theoretic approach to metabolic pathways.

B N Goldstein1, V A Selivanov

  • 1Institute of Biological Physics, USSR Academy of Sciences, Puschino, Moscow Region.

Biomedica Biochimica Acta
|January 1, 1990
PubMed
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This study introduces a graph-theoretic approach for metabolic control analysis. This method links network structure to kinetic properties, revealing how specific graph patterns induce complex behaviors like oscillations.

Area of Science:

  • Systems Biology
  • Biochemistry
  • Network Analysis

Background:

  • Metabolic control analysis (MCA) traditionally uses differential equations to study metabolic networks.
  • Understanding the relationship between network structure and dynamic behavior is crucial for systems biology.

Purpose of the Study:

  • To apply a graph-theoretic approach within metabolic control analysis.
  • To correlate the structure of kinetic graphs with the kinetic properties of metabolic networks.
  • To investigate how local graph properties influence global system behaviors.

Main Methods:

  • Linearizing kinetic differential equations near a steady state.
  • Representing these linearized equations as kinetic graphs (schemes).
  • Analyzing the structural properties of these graphs to infer network behavior.

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Main Results:

  • Demonstrated the applicability of graph theory to metabolic control analysis.
  • Established a correlation between kinetic graph structure and metabolic network properties.
  • Showed that specific graph fragments can induce instability, bistability, and oscillations.
  • Illustrated the approach with a system exhibiting oscillatory kinetics.

Conclusions:

  • A graph-theoretic framework provides insights into metabolic network dynamics.
  • Network structure, as represented by kinetic graphs, is a key determinant of system behavior.
  • This approach facilitates the prediction and understanding of complex kinetic phenomena.