PMID: 8971128Jan 1, 1996Paper

Using fractals and nonlinear dynamics to determine the physical properties of ion channel proteins

Critical Reviews in Neurobiology
L S Liebovitch, A T Todorov

Abstract

Three examples are given of how concepts from fractals and nonlinear dynamics have been used to analyze the voltages and currents recorded through ion channels in an attempt to determine the physical properties of ion channel proteins. (1) Early models had assumed that the switching of the ion channel protein from one conformational state to another can be represented by a Markov process that has no long-term correlations. However, one support for the existence of long-term correlations in channel function is that the currents recorded through individual ion channels have self-similar properties. These fractal properties can be characterized by a scaling function determined from the distribution of open and closed time intervals, which provides information on the distribution of activation energy barriers between the open and closed conformational substates of the ion channel protein and/or on how those energy barriers change in time. (2) Another support for such long-term correlations is that the whole-cell membrane voltage recorded across many channels at once may also have a fractal form. The Hurst rescaled range analysis of these fluctuations provides information on the type and degree of correlation in time of the function...Continue Reading

Citations

May 31, 2008·Bulletin of Mathematical Biology·Allan R Willms, Dominic Nelson
Dec 4, 2001·Trends in Pharmacological Sciences·J Kardos, L Nyikos
Feb 17, 2000·Trends in Neurosciences·J A WhiteA R Kay
Jan 4, 2013·American Journal of Physiology. Cell Physiology·Sean P Parsons, Jan D Huizinga
Jun 4, 2011·Theoretical Biology & Medical Modelling·Ali TiraihiTaki Tiraihi
Sep 6, 2014·Computers in Biology and Medicine·Alberto Seseña-RubfiaroJose Rafael Godínez-Fernández
Nov 21, 1998·Human Pathology·F MoatamedF Naeim
Jan 7, 2003·Biological Psychiatry·Martin P Paulus, David L Braff
Feb 6, 2015·Frontiers in Physiology·Miguel A Aon, Sonia Cortassa
Jul 10, 2016·Computer Methods and Programs in Biomedicine·Srdjan Kesić, Sladjana Z Spasić

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