Difference between revisions of "DiffEqs"

From Sean_Carver
Jump to: navigation, search
(Plain Bilayer Membrane)
(Plain Bilayer Membrane)
Line 3: Line 3:
 
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>
+
<math> C \frac{dV(t)}{dt} = I(t) \\
<math> V(0) = 0 </math>
+
V(0) = 0 </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 21:31, 7 February 2009

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.

Bilayer Membrane with Na/K Pumps

Bilayer Membrane with Na/K Pumps and Leak Channels

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