Difference between revisions of "NumericalDiffEqs"

Revision as of 22:18, 12 February 2009

Remember the equation for the cell with only leak channels.

$C \frac{dV}{dt} = I(t) - g_L(V - E_L)$

Let's simplify: suppose there is no injected current and that the reversal potential for the leak channels is $E_L = 0$ . Then our equation is

$\frac{dV}{dt} = - \frac{g_L}{C} V$

Using different letters for the variables (because this is done in the software linked below):

$\frac{dy}{dt} = - k y$

Click here for code for visualizing the numerical solution of differential equations.

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+Remember the equation for the cell with only leak channels.
+<math> C \frac{dV}{dt} = I(t) - g_L(V - E_L) </math>
+Let's simplify: suppose there is no injected current and that the reversal potential for the leak channels is <math> E_L = 0 </math>.  Then our equation is
+<math> \frac{dV}{dt} = - \frac{g_L}{C} V </math>
+Using different letters for the variables (because this is done in the software linked below):
+<math> \frac{dy}{dt} = - k y </math>
 Click here for [[Media:intuit.hoc|code]] for visualizing the numerical solution of differential equations.