快氯通道门控的非线性漂移扩散模型
Nonlinear drift-diffusion model of gating in the fast Cl channel
摘要：
离子通道的开放或闭合状态区域的动力学可以由满足福克-普朗克方程的概率密度$p(x,t)$来描述。从具有非线性扩散系数$D(x) \propto \exp(-γx)$、$γ> 0$和线性斜坡电位$U_c(x)$的Fokker-Planck方程导出的闭合状态停留时间分布$f_c(t)$与实验数据吻合良好，并且可以分析地示出，如果$γ$足够大，则中间时间的$f_c(t) \propto t^{-2 - ν}$，其中$ν= U_c^{\prime}/γ\approx -0.3$用于快Cl通道。近似于Fokker-Planck方程的主方程的解表现出叠加在幂律趋势上的振荡，并且可以解释适用于几个离子通道的经验速率-振幅相关性。
英文摘要：
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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