the constant field equation


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PDF Box 24 The GHK equations 241 An electrical circuit approximation

Because of the assumption of a constant electric field in the membrane the GHK equations are sometimes referred to as the constant-field equations 2 4 1 

PDF 185 Since Goldman [1] published his paper in 1943 the constant

The constant field equation is then obtained from the added assumption of zero net current flow across the membrane If only univalent ions have nonzero 

PDF 19 INTRODUCTION The Goldman equation as originally derived [ 1

The Goldman equation as originally derived [ 12] depended on the assumptions of a constant field across the membrane zero net current flow across the membrane 

  • What is the GFK equation?

    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.

  • What is the GHK equation explained?

    The GHK equation is founded on the premise that the transmembrane ion transport across the plasma membrane is responsible for the membrane potential generation and that the membrane permeability to the individual mobile ions governs the membrane potential behavior.

  • What is the Goldman's equation?

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

  • In the GHK model of the membrane, permeability is proportional to the diffusion coefficient, DX, defined in Fick's first law (Equation 2.2).
    Hille (2001) discusses the relationship in more detail.
    The GHK equation predates the notion of membrane channels and treats the membrane as homogeneous.

The Goldman current equation Goldman introduced the assumption of a constant electric field within the membrane (dV/dx = −ΔV/a), where ΔV is the electric potential difference across the membrane and a is the membrane thickness (Fig. 2).
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