The Structure of the Cell Membrane Resting Membrane Potential
The Structure of the Cell Membrane Resting Membrane Potential
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 />
⎞