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Hysteresis-driven structure formation in biochemical networks

Klein1

  • 1Institut fur Theoretische Chemie und Strahlenchemie, Wahringer Strasse 17, A-1090 Vienna, Austria.

Journal of Theoretical Biology
|October 21, 1998
PubMed
Summary
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This study presents a novel mechanism for pattern formation using hysteresis in metabolic networks. This hysteresis-driven pattern emerges differently from Turing structures, offering new insights into biological organization.

Area of Science:

  • Biochemistry
  • Systems Biology
  • Theoretical Biology

Background:

  • Turing structures are a known model for pattern formation in biological systems.
  • Metabolic networks can exhibit complex behaviors, including multiple steady states.
  • Hysteresis, a phenomenon of state dependence, has not been fully explored in biological pattern formation.

Purpose of the Study:

  • To present a new mechanism for biological structure formation based on hysteresis.
  • To investigate pattern formation in diffusively coupled cells with a bisubstrate kinetic system exhibiting hysteresis.
  • To differentiate hysteresis-driven patterns from previously described Turing structures.

Main Methods:

  • Modeling a bisubstrate kinetic system with substrate inhibition embedded in a metabolic network.

Related Experiment Videos

  • Analyzing the system's potential for hysteresis and multiple stable steady states.
  • Simulating diffusively coupled cells containing this system to observe pattern emergence.

    • Main Results:

    • The embedded kinetic system demonstrates hysteresis, allowing switching between stable states.
    • Diffusive coupling of cells with this system generates patterns under conditions where both homogeneous and asymmetrical states are stable.
    • These hysteresis-driven patterns are shown to be distinct from Turing-type structures.

    Conclusions:

    • Hysteresis in metabolic networks provides a viable mechanism for biological structure formation.
    • Hysteresis-driven patterns exhibit unique properties compared to diffusion-driven (Turing) structures.
    • This mechanism has significant implications for understanding biological organization and development.