I'm asked to derive two equations related to ion channel kinetics.(adsbygoogle = window.adsbygoogle || []).push({});

First, some background. These are two-state ion channels (open-closed) with the form shown below:

http://img9.imageshack.us/img9/2039/testsg5.gif [Broken]

The first equation represents the open probability of the channel "P_{open}":

P_{O}= K_{CO}/(K_{CO}+ K_{OC})

From class, it seems that the equation is related to the Boltzmann equation, but I'm not sure how they're connected.

The second equation is of the time constant (tau) for these ion channels. That equation is:

t = 1/(K_{CO}+ K_{OC})

Is anyone familiar with these equations? My research so far has turned up a few options, though they vary subtly from the equation I received in class. For example, there is an alternative form of the P_{open}equation utilizing the Boltzmann constant where the K's are replaced with e^{-U/kBT}

Any help at all would be really appreciated. Thanks Physics Forum!

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# Biophysics and ion channels

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