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Using fractals to understand the opening and closing of ion channels

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Abstract

Looking at an old problem from a new perspective can sometimes lead to new ways of analyzing experimental data which may help in understanding the mechanisms that underlie the phenomena. We show how the application of fractals to analyze the patch clamp recordings of the sequence of open and closed times of cell membrane ion channels has led to a new description of ion channel kinetics. This new information has led to new models that imply: (a) ion channel proteins have many conformational states of nearly equal energy minima and many pathways connecting one conformational state to another, and (b) that these many states are not independent but are linked by physical mechanisms that result in the observed fractal scaling. The first result is consistent with many experiments, simulations, and theories of globular proteins developed over the last decade. The second result has stimulated the suggestion of several different physical mechanisms that could cause the fractal scalings observed.

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Authors and Affiliations

  1. Department of Ophthalmology College of Physicians and Surgeons, Columbia University, 630 West 168th St., 10032, New York, NY

    Larry S. Liebovitch & Tibor I. Tóth

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  1. Larry S. Liebovitch
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  2. Tibor I. Tóth
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Liebovitch, L.S., Tóth, T.I. Using fractals to understand the opening and closing of ion channels. Ann Biomed Eng 18, 177–194 (1990). https://doi.org/10.1007/BF02368428

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