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The Goldman–Hodgkin–Katz flux equation (or GHK flux equation or GHK current density equation) describes the ionic flux across a cell membrane as a function of the transmembrane potential and the concentrations of the ion inside and outside of the cell.

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The Goldman–Hodgkin–Katz voltage equation, sometimes called the Goldman equation, is used in cell membrane physiology to determine the resting potential across a cell's membrane, taking into account all of the ions that are permeant through that membrane.

到这里我们发现，弦电导方程与 GHK 方程的 共同点 是①推导的时候都使用了电流之和为零的条件；②当只有一种离子通过时，都意味着膜电位就是离子的平衡电位。

戈德曼方程（Goldman equation，Goldman-Hodgkin-Katz equation，GHK equation）是用细胞膜内外的k+、Na+、Cl-浓度和膜对这些离子的通透常数来描述神经和肌肉等膜电位的方程。 式中：F是 法拉第常数，R是 气体常数，T是 绝对温度，P是通透常数， [ ]out、 [ ]in分别是是细胞外，内的离子浓度。 （3）膜内的电场梯度是均一的。 因此上述方程式亦称定电场方程（D．E．Goldman 1943，A．L．Hodgkin和B．Kotz1949）。 式中的通透常数 的定义 …

Here is the Nernst equation: E X = R T z F ln ⁡ ( X out X in ) Here is the GHK equation: V m = R T F ln ( P K K out P Na N a out P K K in P Na N a in )

Dec 20, 2005 · When more than one ion channel is present (and open) in the plasma membrane, the membrane potential can be calculated by using the Goldman-Hodgkin-Katz equation (GHK equation).

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Jan 1, 2014 · There are two Goldman-Hodgkin-Katz (GHK) equations: the GHK voltage equation and the GHK current equation. The GHK voltage equation gives the membrane potential expected to result from multiple ion species at differing concentrations on either side of the membrane.