caa a22 4500 477067239 CHVBK 20180405111415.0 cr unu---uuuuu 170330e19960101xx s 000 0 eng 10.1007/BF02458286 doi (NATIONALLICENCE)springer-10.1007/BF02458286 Description of interacting channel gating using a stochastic Markovian model [Elektronische Daten] [K. Manivannan, R. Mathias, E. Gudowska-Nowak] Single-channel recordings from membrane patches frequently exhibit multiple conductance levels. In some preparations, the steady-state probabilities of observing these levels do not follow a binomial distribution. This behavior has been reported in sodium channels, potassium channels, acetylcholine receptor channels and gap junction channels. A non-binomial distribution suggests interaction of the channels or the presence of channels with different open probabilities. However, the current trace sometimes exhibits single transitions spanning several levels. Since the probability of simultaneous transitions of independent channels is infinitesimally small, such observations strongly suggest a cooperative gating behavior. We present a Markov model to describe the cooperative gating of channels using only the all-points current amplitude histograms for the probability of observing the various conductance levels. We investigate the steady-state (or equilibrium) properties of a system ofN channels and provide a scheme to express all the probabilities in terms of just two parameters. The main feature of our model is that lateral interaction of channels gives rise to cooperative gating. Another useful feature is the introduction of the language of graph theory which can potentially provide a different avenue to study ion channel kinetics. We write down explicit expressions for systems of two, three and four channels and provide a procedure to describe the system ofN channels. Society for Mathematical Biology, 1996 Manivannan K. Department of Physiology and Biophysics, State University of New York, 11794, Stony Brook, New York, U.S.A. aut Mathias R. Department of Physiology and Biophysics, State University of New York, 11794, Stony Brook, New York, U.S.A. aut Gudowska-Nowak E. Department of Applied Science and Department of Chemistry, Brookhaven National Laboratory, 11973, Upton, New York, U.S.A. aut Bulletin of Mathematical Biology Kluwer Academic Publishers 58/1(1996-01-01), 141-174 0092-8240 58:1<141 1996 58 11538 https://doi.org/10.1007/BF02458286 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02458286 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Manivannan K. Department of Physiology and Biophysics, State University of New York, 11794, Stony Brook, New York, U.S.A aut NATIONALLICENCE 700 1- Mathias R. Department of Physiology and Biophysics, State University of New York, 11794, Stony Brook, New York, U.S.A aut NATIONALLICENCE 700 1- Gudowska-Nowak E. Department of Applied Science and Department of Chemistry, Brookhaven National Laboratory, 11973, Upton, New York, U.S.A aut NATIONALLICENCE 773 0- Bulletin of Mathematical Biology Kluwer Academic Publishers 58/1(1996-01-01), 141-174 0092-8240 58:1<141 1996 58 11538 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer