Naylor G R
Biophys J. 1982 May;38(2):201-4. doi: 10.1016/S0006-3495(82)84547-5.
An approximate analytical solution to the Poisson-Boltzmann equation for a cylindrical particle was used to calculate the relationship between the charge on the filaments and the average electrostatic potential. Both thick and then filaments were considered in the muscle lattice with a filament charge ratio of 4 to 1. Comparing this with a similar relationship obtained using simple Donnan theory showed a discrepancy at high charge where the Poisson-Boltzmann equation leads to saturation of the average potential. However, using two separate experiments from the literature, we have shown that at pH 7.0 muscle must not be close to saturation and thus is in a region of the curve where the two approaches agree.
利用圆柱粒子泊松-玻尔兹曼方程的近似解析解来计算细丝上的电荷与平均静电势之间的关系。在肌晶格中考虑了粗细两种细丝,细丝电荷比为4比1。将此结果与使用简单唐南理论得到的类似关系进行比较,发现在高电荷时存在差异,此时泊松-玻尔兹曼方程导致平均电势饱和。然而,通过文献中的两个独立实验,我们表明在pH 7.0时,肌肉肯定不会接近饱和,因此处于曲线的一个区域,在该区域两种方法的结果一致。