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Natural Science Forum / Biology / Microbiology / October 2005



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Neuron membrane charge density?

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potucek@efirehose.net - 30 Sep 2005 23:11 GMT
Hi All!

I am looking for the *amount* of charge on the cell membrane of a neuron
that leads to its resting potential. Ideally it would be nice to also know
how much of this charge is K+, Na+, Cl- and whatever other ions may be
significant. I would appreciate any literature refs or author names that you
might have on this.

 Rudolf
Tom Knight - 30 Sep 2005 23:57 GMT
> I am looking for the *amount* of charge on the cell membrane of a neuron
> that leads to its resting potential. Ideally it would be nice to also know
> how much of this charge is K+, Na+, Cl- and whatever other ions may be
> significant. I would appreciate any literature refs or author names that you
> might have on this.

You can estimate this from the voltage and membrane thickness.  I
think the resting potential is about 70 mV.  The membrane is typically
10 nm.  The capacitance per unit area will be 8.85 x 10**-12
Farad/meter x K / thickness.  With a relative permittivity (K) of
around 9 (estimate) this gives an approximate capacitance of .008
Farad/square meter.  With a voltage of 0.07 volts across it, this
capacitor will have a charge Q = CV coulombs, or Q = .008 * 0.07 =
.0006 coulombs/square meter.  This is approximately Q/1.6e-19 charges,
or 3.5e15 charges/square meter.  Converting to more useful units, this
is 3500 charges/square micron of cell surface, or .0035 charges/square
nanometer.  You can't distinguish the charged species without knowing
concentrations of ions.
potucek-newsNOT@THISartiverse.net - 01 Oct 2005 19:00 GMT
Duh ... me stupid ;)

Thanks for laying it out like this and even doing the math.

 Rudolf
 
In sci.bio Tom Knight <tk@mit.edu> wrote:

>> I am looking for the *amount* of charge on the cell membrane of a neuron
>> that leads to its resting potential. Ideally it would be nice to also know
[quoted text clipped - 14 lines]
> nanometer.  You can't distinguish the charged species without knowing
> concentrations of ions.
 
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