title: On the simple random-walk models of ion-channel gate dynamics reflecting long-term memory.
abstract: Several approaches to ion-channel gating modelling have been proposed. Although many models describe the dwell-time distributions correctly, they are incapable of predicting and explaining the long-term correlations between the lengths of adjacent openings and closings of a channel. In this paper we propose two simple random-walk models of the gating dynamics of voltage and Ca(2+)-activated potassium channels which qualitatively reproduce the dwell-time distributions, and describe the experimentally observed long-term memory quite well. Biological interpretation of both models is presented. In particular, the origin of the correlations is associated with fluctuations of channel mass density. The long-term memory effect, as measured by Hurst R/S analysis of experimental single-channel patch-clamp recordings, is close to the behaviour predicted by our models. The flexibility of the models enables their use as templates for other types of ion channel.
authors.affiliation: Department of Physical Chemistry and Technology of Polymers, Section of Physics and Applied Mathematics, Silesian University of Technology, Ks. M. Strzody 9, 44-100 Gliwice, Poland. agata.wawrzkiewicz@gmail.com
authors.forename: Agata
authors.initials: A
authors.lastname: Wawrzkiewicz
authors.forename: Krzysztof
authors.initials: K
authors.lastname: Pawelek
authors.forename: Przemyslaw
authors.initials: P
authors.lastname: Borys
authors.forename: Beata
authors.initials: B
authors.lastname: Dworakowska
authors.forename: Zbigniew J
authors.initials: ZJ
authors.lastname: Grzywna
mesh_terms: D002460:Cell Line; D003198:Computer Simulation; D004594:Electrophysiology; D004847:Epithelial Cells / Q000502:physiology; D006801:Humans; D015640:Ion Channel Gating / Q000502:physiology*; D007700:Kinetics; D051036:Large-Conductance Calcium-Activated Potassium Channels / Q000502:physiology*; D008564:Membrane Potentials / Q000502:physiology; D057567:Memory, Long-Term / Q000502:physiology*; D008954:Models, Biological; D008958:Models, Molecular; D015233:Models, Statistical; D018408:Patch-Clamp Techniques / Q000379:methods
chemical_list: D051036:Large-Conductance Calcium-Activated Potassium Channels