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Physiology · General physiology: Goldman-Hodgkin-Katz equation
Sample itemDuring the upstroke of a nerve action potential, sodium permeability rises sharply while potassium permeability is unchanged. A student wants one equation that predicts the membrane potential from the concentration gradients and relative permeabilities of several ions together. Which equation is it?
Original practice item, not a recalled exam question. Nothing here is recorded.
The answer and the reasoning
B. Goldman-Hodgkin-Katz equation
The Goldman-Hodgkin-Katz equation sums the permeability-weighted gradients of Na+, K+ and Cl-, so the membrane potential moves toward the ion with the highest permeability. The Nernst equation gives the equilibrium potential of one ion only. Remember GHK for membrane potential and Nernst for a single ion.
Option by option
A. Henderson-Hasselbalch equation
Henderson-Hasselbalch relates pH to bicarbonate and CO2, not membrane potential.
B. Goldman-Hodgkin-Katz equation (correct)
Correct. It weights each ion's gradient by its permeability to give the membrane potential.
C. Nernst equation
The Nernst equation applies to a single ion at equilibrium and cannot combine several permeabilities.
D. Gibbs-Donnan relationship
Gibbs-Donnan describes unequal distribution of diffusible ions due to impermeant protein, not dynamic permeability changes.
Source note: Original NextPrep sample item — pending expert review. This item is original practice material awaiting independent expert review, so confirm important facts in a standard textbook.
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