Difference between revisions of "DiffEqs"

From Sean_Carver
Jump to: navigation, search
(Plain Bilayer Membrane)
(Plain Bilayer Membrane)
Line 9: Line 9:
 
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.
  
Next ''V(t)'' is the membrane potential.
+
Next ''V(t)'' is the membrane potential.  This is the quantity of interest.
  
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.
+
Next ''I(t)'' is the injected current into the cell.
 +
 
 +
Finally ''V(0)'' is the initial membrane potential of the cell.
  
 
== Bilayer Membrane with Na/K Pumps ==
 
== Bilayer Membrane with Na/K Pumps ==

Revision as of 21:55, 7 February 2009

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. This is the quantity of interest.

Next I(t) is the injected current into the cell.

Finally V(0) is the initial membrane potential of the cell.

Bilayer Membrane with Na/K Pumps

Bilayer Membrane with Na/K Pumps and Leak Channels

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