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THE NERNST EQUATION RELATES THE MEMBRANE POTENTIAL TO THE DISTRIBUTION OF AN ION AT EQUILIBRIUM E j = 59mV log C j o / C j i(6.11) 1. A tenfold difference in concentration (outside > inside) corresponds to a Nernst potential of +59mV (C o /C i = 10/1; log 10 = 1). 2. A tenfold difference in concentration (inside > outside) corresponds to a Nernst potential of -59 mV (C o /C i = 1/10; log 1/10 = -1).
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Using the Nernst Equation E j = 59mV log C j o / C j i 1.Bathe tissue in a known external concentration of solute, or measure the external concentration of the solute. 2.Allow the tissue to come to equilibrium, then measure the internal concentration of the solute. 3.Measure the membrane potential using an electrode. 4.Compare either the measured vs. predicted membrane potentials or the measured vs. predicted concentration differences.
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THE NERNST EQUATION CAN BE USED TO DISTINGUISH BETWEEN ACTIVE AND PASSIVE TRANSPORT 1.If, at equilibrium, the measured membrane potential equals the calculated Nernst potential, transport is passive. 2.Also, if the predicted ion distribution based on the Nernst Equation equals the observed ion distribution, transport is passive. 3.However, if the measured membrane potential differs from the predicted membrane potential based on the Nernst equation, transport is active. 4.Or, if the measured ion distribution differs from that predicted by the Nernst equation, transport is active.
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Sample Questions E j = 59mV log C j o / C j i 1.What is the Nernst potential for K + under the following conditions: C o = 1 mM; C i - 100 mM? If the measured membrane potential is - 120 mV, is transport of K + active or passive? 2.The measured membrane potential of a cell at equilibrium is -80 mV. Assuming K + is transported passively, what is the predicted internal concentration when the external concentration of K + is 5 mM? (1 mM = 0.001 M)
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