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    Area of Science:

    • Theoretical biology
    • Complex systems
    • Ecology

    Background:

    • Biological systems adaptively control energy coupling, unlike fixed physical systems.
    • Lack of theoretical frameworks hinders understanding of emergent behavior in living systems where structure and energy drive coevolve.

    Purpose of the Study:

    • Develop a theoretical framework for adaptive systems using ecosystems as a model.
    • Investigate the coevolution of structure formation and non-equilibrium drive in living systems.

    Main Methods:

    • Developed a framework of "living circuits" where architecture adapts to energy dissipation.
    • Modeled ecosystems as adaptive systems to study energy flow and structural changes.

    Main Results:

    • Living circuits exhibit a phase transition from equilibrium to a non-equilibrium dissipative state at a critical driving potential.
    • A feedback mechanism routes dissipation to weaker edges, enabling survival despite local rules favoring stronger ones.
    • Living circuits achieve near-maximal dissipation without global optimization, with complexity increasing with energy drive.

    Conclusions:

    • Ecosystems serve as paradigmatic examples of living circuits.
    • Local adaptive rules tune structure and dissipation in living systems.
    • The developed framework provides insights into emergent behavior and self-organization in biological non-equilibrium systems.