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The Structure of the Cell Membrane Resting Membrane Potential

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Goldman equation<br />

<strong>The</strong> Goldman equation for M positive ionic species and A negative:<br />

E<br />

m<br />

=<br />

⎛<br />

RT ⎜<br />

ln⎜<br />

F ⎜<br />

⎝<br />

∑<br />

∑<br />

[ ] + [ ]<br />

+<br />

M −<br />

M P − A<br />

[ ] [ ] ⎟ ⎟⎟<br />

j<br />

+<br />

M −<br />

M i + ∑ P − A<br />

in j A j<br />

j out ⎠<br />

•E m = <strong>The</strong> membrane potential<br />

•P ion = <strong>the</strong> permeability for that ion<br />

•[ion] out = <strong>the</strong> extracellular concentration <strong>of</strong> that ion<br />

•[ion] in = <strong>the</strong> intracellular concentration <strong>of</strong> that ion<br />

•R = <strong>The</strong> ideal gas constant<br />

•T = <strong>The</strong> temperature in kelvins<br />

•F = Faraday's constant<br />

N<br />

i<br />

N<br />

i<br />

P<br />

P<br />

M<br />

M<br />

+<br />

i<br />

+<br />

i<br />

i<br />

out<br />

A "Nernst-like" equation with terms for each permeant ion.<br />

- All <strong>the</strong> ions are involved.<br />

- Good agreement with <strong>the</strong> measured values (muscle cell: U measured=-92mV_U calc.=-89.2mV).<br />

∑<br />

j A j in<br />

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