00:01
So now let's take a couple of examples from cells
that's representative of what's in our body.
00:09
So we have ECF which is extracellular fluid,
that's the fluid around the cell.
00:14
And ICF, which is the intracellular fluid.
00:18
So if we take first, one particular ion,
and we'll do this one at a time.
00:25
Sodium has a concentration outside the cell of around 145 mmol.
Inside the cell, it's very low, about 12.
00:35
So there's a gradient across the membrane set up here.
00:41
If we look at potassium, it is high within the cell,
about 120 mmol, versus 4 on the outside.
00:51
Calcium is what looks like to be low on both side, but in actuality,
the extracellular fluid has more calcium than the intracellular fluid.
01:04
Intracellular fluid has almost none free calcium.
01:09
And finally we have chloride,
which is high on the outside of the cell and low on the inside.
01:16
One of the things you should notice
about these various molecules is their charge.
01:22
Sodium and potassium have a positive charge, and they have a +1.
They're considered monovalent.
01:30
Calcium is a +2. It's divalent.
And then chloride is an anion or negatively charged molecule.
01:40
The other thing to keep in mind is
which direction the arrows are pointing.
01:45
You'll notice that they always point from the base
of the highest number to the area of the lowest number.
01:51
Why? Because all these molecules want to get into equilibrium.
Meaning that they'd be the same on both sides of the membrane.
02:00
That is their goal. They want to live in harmony
and be the same on both sides of the membrane.
02:07
The membrane though, is going to be somewhat selective
about which ones it allows to pass.
02:18
So we can calculate the exact voltage difference
based upon those concentrations.
02:26
Now it's not important to be able to calculate this
on a minute by minute basis.
02:31
There are only going to be numbers
in which you have to be familiar with.
02:36
So for example, you see that this potential for sodium
is around +61 mV.
02:46
So that's based upon the concentration
in the extracellular fluid versus the intracellular fluid.
02:52
And you're gonna ask how in the world
did you figure out that that was 61 mV.
02:58
You could have done it in two ways.
03:00
One of them, we could have put
a reference electrode on one side of the membrane
and then add electrode on the other side.
03:07
Or we can use a formulated calculator,
which is called the Nernst equation.
03:13
At the Nernst equation, you take 61.5, divide it by the valence,
times the log of the concentration inside the cell,
over the concentration outside the cell.
03:26
So we either directly measuring it or using the Nernst equation,
you can calculate the particular voltage that the concentration
of those two ions inside and outside the membrane would cost.
03:43
If we look at potassium,
you'll notice that it also has a voltage.
03:49
But the potassium potential comes out to be -90.
Why? Because potassium was high inside the cell and low outside.
03:59
Calcium's membrane potential, very high.
120 in this particular example.
04:05
And again, that's based upon the ion concentration
in either the measured value or the Nernst value.
04:12
Remember for the Nernst value,
this one is going to be different because it's divalent.
04:17
So you're gonna have to take 61.5 divide it by now 2,
because it has a +2 charge,
times the log of the concentration on the inside
over the concentration in the outside of the cell.
04:31
The final ion that we have here is chloride.
And chloride is a -52 mV.
04:39
And remember that it has a higher concentration
on the extracellular fluid than the intracellular fluid.
04:45
So the arrows become very important and
their particular Nernst equation value becomes important.
04:53
So we have +61, +120, -90, and minus about 52. All from the ions
that we had, or we directly measure them from the cell.
05:07
So that looks like there's four numbers here,
what is the cell really at?
Do we simply just add up all four of those and divide by four,
so we get a mean?
That would be too easy, wouldn't it?
No. What we need to do is add another factor in play.
05:30
That other factor is which channels are opened,
and which channels are closed.
05:35
Because again if you don't let the ions travel across,
they don't count.
05:41
So we have to make sure which ions move becomes more important.
05:46
So let's start with calcium.
05:48
At rest, calcium is closed. Therefore we don't actualize
that potential of 120.
05:59
Sodium channels also close at rest.
Therefore that +61, non factor.
06:09
What is a factor? Potassium. Potassium channels are open at rest.
Therefore, an excitable cell will have a negative membrane potential.
06:23
Because there's a conductant for potassium, it will be
more likely close to the potassium equilibrium, which is -90.
06:33
So there will be some cells in the body that are at a -90
if these cells are opened all the time.
06:40
Most cells that were not at -90, they are a little bit above that,
and that's because of one other factor,
and that's the sodium-potassium pump,
or the sodium-potassium ATPase
which is constantly cycling and cycling and cycling,
moving what? Potassium back into the cell and sodium out.
07:01
That is called electrogenic pump because
it creates some electrical potential across the membrane.
07:09
Calcium pump is also there and that can also be part of the issue
but it's primarily the sodium-potassium ATPase.
07:16
What we have is -70.
You also notice that I didn't talk about chloride.
07:22
Chloride channels are also closed at this condition
so they are not part of the membrane potential,
just like calcium and sodium.