title: Closed-time distribution of ionic channels. Analytical solution to a one-dimensional defect-diffusion model.
abstract: A one-dimensional version of the model recently proposed by Läuger (1988) to explain the closed-time distribution of ionic channels in cell membranes is solved analytically. While the probability density f(t) for closed-time lengths may show a well-defined exponential behavior at short times, a power-law decay is predicted at long times. The influence of an additional random distribution of defects in the current-conducting protein is investigated and found to be dominating at long times. Explicit expressions that may be used for fitting experimental data are given for the closed-time distribution. Some of the available data are discussed and shown to be in good agreement with the predictions of the model.
authors: Fakultät für Physik, Universität Konstanz, Federal Republic of Germany.
authors: C A
authors: CA
authors: Condat
authors: J
authors: J
authors: Jäckle
mesh_terms: D000818:Animals; D002460:Cell Line; D003106:Colon / Q000502:physiology; D004058:Diffusion; D004728:Endothelium, Corneal / Q000502:physiology; D005910:Glioma; D006096:Gramicidin; D006822:Hybrid Cells / Q000502:physiology; D007473:Ion Channels / Q000502:physiology*; D008433:Mathematics; D008962:Models, Theoretical; D009045:Motor Endplate / Q000502:physiology; D009130:Muscle, Smooth / Q000502:physiology; D009132:Muscles / Q000502:physiology; D009447:Neuroblastoma; D011817:Rabbits; D051381:Rats
chemical_list: D007473:Ion Channels; D006096:Gramicidin