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Chemical organisation theory.

Peter Dittrich1, Pietro Speroni di Fenizio

  • 1Bio Systems Analysis Group, Jena Centre for Bioinformatics and Department of Mathematics and Computer Science, Friedrich Schiller University Jena, Jena, Germany. dittrich@minet.uni-jena.de

Bulletin of Mathematical Biology
|April 7, 2007
PubMed
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This study introduces a theory of chemical organisations to understand complex reaction networks. It reveals that stationary states in these systems are instances of organisations, offering new insights into biological functions.

Area of Science:

  • Systems Biology
  • Theoretical Chemistry
  • Biophysics

Background:

  • Complex dynamical reaction networks are challenging to analyze, particularly with dynamic component appearance and disappearance.
  • Existing models struggle to capture the emergent properties of systems with evolving components.

Purpose of the Study:

  • To develop a theoretical framework for understanding complex dynamical reaction networks.
  • To introduce the concept of 'chemical organisations' for system analysis.
  • To connect system dynamics with organisational structure.

Main Methods:

  • Development of a two-part theory: defining chemical organisations and linking dynamics to organisations.
  • Mathematical modeling using differential equations to describe chemical dynamics.

Related Experiment Videos

  • Application of the theory to models of HIV-immune system interaction and E. Coli sugar metabolism.

    • Main Results:

    • A theorem states that all stationary states in a chemical network are instances of organisations.
    • Organisations were identified in models of HIV-immune system interaction and E. Coli sugar metabolism.
    • These uncovered organisations may correspond to specific system functions.

    Conclusions:

    • The theory of chemical organisations provides a novel perspective on the structure and dynamics of complex reaction networks.
    • This framework can help elucidate the functional roles of emergent structures in biological systems.
    • The concept of organisations offers a powerful tool for analyzing systems with dynamic and evolving components.