Position-dependent stochastic diffusion model of ion channel gating.
A position-dependent stochastic diffusion model of gating in ion channels is developed by considering the spatial variation of the diffusion coefficient between the closed and open states. It is assumed that a sensor which regulates the opening of the ion channel experiences Brownian motion in a closed region Rc and a transition region Rm, where the dynamics is described by probability densities pc(x,t) and pm(x,t) which satisfy interacting Fokker-Planck equations with diffusion coefficient Dc(x)=Dcexp(gammacx) and Dm(x)=Dmexp(-gammamx). The analytical solution of the coupled equations may be approximated by the lowest frequency relaxation, a short time after the application of a depolarizing voltage clamp, when Dm<<Dc or the diffusion parameter gammam is sufficiently large. Thus, an empirical rate equation that describes gating transitions may be derived from a stochastic diffusion model if there is a large diffusion (or potential) barrier between open and closed states.
Vaccaro
S R
SR
Department of Physics, University of Adelaide, Adelaide, South Australia, 5005, Australia. svaccaro@physics.adelaide.edu.au
D055592:Biophysical Phenomena; D051668:Delayed Rectifier Potassium Channels / Q000378:metabolism; D004058:Diffusion; D015640:Ion Channel Gating / Q000502:physiology*; D008390:Markov Chains; D008954:Models, Biological; D018408:Patch-Clamp Techniques; D013269:Stochastic Processes
D051668:Delayed Rectifier Potassium Channels