DiffEqs

From Sean_Carver
Revision as of 21:28, 7 February 2009 by Carver (talk | contribs) (Plain Bilayer Membrane)
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Plain Bilayer Membrane

A plain lipid bilayer is approximately an ideal capacitor. The equation for an ideal capacitor is

 C \frac{dV(t)}{dt} = I(t)  V(0) = 0

Here C is a constant (parameter), the capacitance of the membrane, proportional to area.

Next V(t) is the membrane potential.

Next I(t) is the current into the membrane, with a sign such that a positive current depolarizes the cell. The sign conventions are TRICKY!!! I get confused all the time.

Bilayer Membrane with Na/K Pumps

Bilayer Membrane with Na/K Pumps and Leak Channels

Bilayer Membrane with Na/K Pump, Leak & HH Channels