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Description of k+ in live cells, using nerst equation
1. Description of K+ in live
cells, using nernst equation
Niraj Kumar AE13B053
Pratham Bhat AE13B055
2. Live cell
In a live cell a potential difference exists across the cell membrane due to
❖ Difference in concentration of ions
❖ Selective permeability of membrane.
3. Live cell
Concentration of K+ inside cell = 150 mM
Concentration of K+ outside cell = 5 mM
Concentration of Na+ outside cell = 142 mM
Concentration of Na+ inside cell = 10 mM
Concentration of Cl- outside cell = 103 mM
Concentration of Cl- inside cell = 4 mM
4. Concentration of K+ ions inside the cell is higher than outside
This concentration difference is maintained using Na-K Pump, different voltage gated
channels and leak channels.
5. Due to the concentration gradient, the K+ ions diffuse out of the cell through the different
ion channels present in the cell membrane.
This leads to accumulation of net negative charge inside the cell.
6. In this way an electric field is generated, which tries to get the K+ ions to diffuse
into the cell.
Now there are two opposing forces acting on the K+ ion.
The chemical gradient drives the K+ ion out of the cell
The electric gradient causes the K+ ions to diffuse into the cell.
For some value of potential difference,these two forces are balanced .
This is the membrane potential due to K+ ion
7.
8. Nernst Equation
Where
R : Universal gas constant = 8.314 JK-1 mol-1
T : Temperature in Kelvin (K)
Z : Charge on the ion
F : Faraday's constant = 96500 coulombs mol -1
9. Contribution of K+ to membrane potential
Concentration of K+ inside cell = [Ki
+] = 155 mM
Concentration of K+ outside cell = [Ko
+] = 5 mM
Substituting the above values, we get
V ~ -92 mV
10. Membrane potential
Membrane potential is weighted sum of potential of individual ions.
Weights for each ion depends on permeability of that ion through the membrane.
11. So, we get membrane potential closer to the potential due to the ion to which
the membrane is most permeable,which is K+ in this case
In this presentation we are going on K+ ions
As shown in the previous slide Concentration of K+ on the inside is more
These channels only allow K+ ions to pass through.
In this way an electric field is generated, which tries to get the K+ ions to diffuse into the cell
Now there are two opposing forces acting on the K+ ion.
The chemical gradient drives the K+ ion out of the cell and the electric gradient causes the K+ ions to diffuse into the cell.
Here we took concentration of ions same as initial given because even after equilibrium concentration of k+ is very high.
It is 10^20 ions per liter so small exchange of ions doesn’t affect concentration much.