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Turing structures in an enzyme-induction system with gap junction-mediated non-linear diffusion.

O Sporns, F F Seelig

    Bio Systems
    |January 1, 1986
    PubMed
    Summary
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    Coupled cells with regulated diffusion can form stable asymmetric patterns. This suggests that molecules involved in cell communication and metabolism may also drive pattern formation in development.

    Area of Science:

    • Systems biology
    • Biophysics
    • Developmental biology

    Background:

    • Cellular communication and metabolism are fundamental processes.
    • Pattern formation (morphogenesis) is crucial for development.
    • Intercellular communication is often mediated by diffusion.

    Purpose of the Study:

    • To model coupled genetic induction systems.
    • To investigate the role of regulated diffusion in pattern formation.
    • To explore the morphogenetic potential of intercellular regulators.

    Main Methods:

    • Mathematical modeling of two coupled reaction-diffusion systems.
    • Stability analysis of the system's rate equations.
    • Analysis of non-linear diffusion terms arising from regulated gap junctions.

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    Main Results:

    • Identified conditions for stable asymmetric solutions (dissipative structures).
    • Demonstrated that non-linear diffusion removes rigid constraints on diffusion constant ratios.
    • Showed that intercellular regulators can exhibit morphogenetic functions.

    Conclusions:

    • Regulated intercellular diffusion can lead to stable spatial patterns.
    • Substances involved in cell communication and metabolism can act as morphogens.
    • This model provides insights into the physical basis of biological pattern formation.