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arXiv · 1407.2595

Nonlinear drift-diffusion model of gating in the fast Cl channel

Samuel R. Vaccaro
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Abstract

The dynamics of the open or closed state region of an ion channel may be described by a probability density $p(x,t)$ which satisfies a Fokker-Planck equation. The closed state dwell-time distribution $f_c(t)$ derived from the Fokker-Planck equation with a nonlinear diffusion coefficient $D(x) \propto \exp(-γx)$, $γ> 0$ and a linear ramp potential $U_c(x)$, is in good agreement with experimental data and it may be shown analytically that if $γ$ is sufficiently large, $f_c(t) \propto t^{-2 - ν}$ for intermediate times, where $ν= U_c^{\prime}/γ\approx -0.3$ for a fast Cl channel. The solution of a master equation which approximates the Fokker-Planck equation exhibits an oscillation superimposed on the power law trend and can account for an empirical rate-amplitude correlation that applies to several ion channels.

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Samuel R. Vaccaro. 2014-07-09. Nonlinear drift-diffusion model of gating in the fast Cl channel. https://doi.org/10.1103/physreve.76.011923

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