Fractal, Chaotic, and Self-Organizing Critical System: Descriptions of the Kinetics of Cell Membrane Ion Channels

  • Larry S. Liebovitch
  • Ferenc P. Czegledy
Part of the NATO ASI Series book series (NSSB, volume 270)


Channels are proteins in the cell membrane that spontaneously fluctuate between conformational shapes that are closed or open to the passage of ions. The kinetics of these changes in conformational state can be described in different ways, that suggest different physical properties for the ion channel protein. We describe kinetic models based on: 1) random switching between a few independent states, 2) random switching between many states that are cooperatively linked together, 3) deterministic, chaotic, nonlinear oscillations, amplifying themselves until the channel switches states, and 4) deterministic local interactions that self-organize the fluctuations in channel structure near a phase transition, switching it between different states.


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Copyright information

© Plenum Press, New York 1991

Authors and Affiliations

  • Larry S. Liebovitch
    • 1
  • Ferenc P. Czegledy
    • 1
  1. 1.Department of Ophthalmology, College of Physicians & SurgeonsColumbia UniversityNew YorkUSA

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