title: Estimating rate constants from single ion channel currents when the initial distribution is known.
abstract: Single ion channel currents can be analysed by hidden or aggregated Markov models. A classical result from Fredkin et al. (Proceedings of the Berkeley conference in honor of Jerzy Neyman and Jack Kiefer, vol I, pp 269-289, 1985) states that the maximum number of identifiable parameters is bounded by 2n(o)n(c), where n(o) and n(c) denote the number of open and closed states, respectively. We show that this bound can be overcome when the probabilities of the initial distribution are known and the data consist of several sweeps.
authors.affiliation: Institut für Physik, Albert-Ludwigs-Universität, Hermann-Herder-Strasse 3, 79104 Freiburg, Germany. yuki@fdm.uni-freiburg.de
authors.forename: Yu-Kai
authors.initials: YK
authors.lastname: The
authors.forename: Jacqueline
authors.initials: J
authors.lastname: Fernandez
authors.forename: M Oana
authors.initials: MO
authors.lastname: Popa
authors.forename: Holger
authors.initials: H
authors.lastname: Lerche
authors.forename: Jens
authors.initials: J
authors.lastname: Timmer
mesh_terms: D001703:Biophysics / Q000379:methods*; D003198:Computer Simulation; D006801:Humans; D015640:Ion Channel Gating; D007473:Ion Channels / Q000737:chemistry*; D017136:Ion Transport; D007477:Ions; D007668:Kidney / Q000166:cytology; D007700:Kinetics; D016013:Likelihood Functions; D008390:Markov Chains; D008956:Models, Chemical; D015233:Models, Statistical; D009124:Muscle Proteins / Q000737:chemistry; D018482:Muscle, Skeletal / Q000166:cytology; D062553:NAV1.4 Voltage-Gated Sodium Channel; D015222:Sodium Channels / Q000737:chemistry; D013997:Time Factors; D014162:Transfection
chemical_list: D007473:Ion Channels; D007477:Ions; D009124:Muscle Proteins; D062553:NAV1.4 Voltage-Gated Sodium Channel; C106251:SCN4A protein, human; D015222:Sodium Channels