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Area of Science:

  • Theoretical Biology
  • Theoretical Neuroscience
  • Mathematical Modeling

Background:

  • Robustness enables systems to function under parameter perturbations.
  • Flexibility allows systems to switch functions effortlessly.
  • The mathematical requirements for robustness and flexibility appear contradictory.

Purpose of the Study:

  • To explore how biological systems achieve both robustness and flexibility.
  • To investigate the role of dynamical criticality in achieving these properties.
  • To connect dynamical criticality to "edge of chaos" criticality.

Main Methods:

  • Analysis of theoretical neuroscience arguments.
  • Examination of systems poised at the onset of dynamical bifurcations.
  • Study of critical map lattices with dynamically critical coupling.

Main Results:

  • Systems at dynamical criticality can exhibit both robustness and flexibility.
  • Poising at criticality influences information processing and function.
  • Critical map lattices demonstrate a link between dynamical criticality and "edge of chaos".

Conclusions:

  • Dynamical criticality provides a unified framework for understanding robustness and flexibility.
  • Operating at the "edge of chaos" is key to achieving both properties.
  • This framework has implications for information integration in biological systems.