Difference between revisions of "DiffEqs"
From Sean_Carver
(→Plain Bilayer Membrane) |
(→Plain Bilayer Membrane) |
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A plain lipid bilayer is approximately an ideal capacitor. The equation for an ideal capacitor is | A plain lipid bilayer is approximately an ideal capacitor. The equation for an ideal capacitor is | ||
| − | <math> C \frac{dV(t)}{dt} = I(t) | + | <math> \begin{eqnarray} C \frac{dV(t)}{dt} = I(t) \\ |
| − | V(0) = 0 </math> | + | V(0) = 0 \end{eqnarray} </math> |
Here ''C'' is a constant (parameter), the ''capacitance'' of the membrane, proportional to area. | Here ''C'' is a constant (parameter), the ''capacitance'' of the membrane, proportional to area. | ||
Revision as of 21:32, 7 February 2009
Contents
Plain Bilayer Membrane
A plain lipid bilayer is approximately an ideal capacitor. The equation for an ideal capacitor is
Failed to parse (Missing <code>texvc</code> executable. Please see math/README to configure.):
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.
