Class 10
Charging the membrane: The Resting Potential
Charge gradients vs. diffusion gradient.
E.g. potassium
The Nernst Equation for potassium EK = 58log([K]o/[K]i) = -93 mV
Nernst Values for other ions
ENa = + 56 mV
ECl = - 66 mV
| Ion | Concentration [IN] | Concentration [Out] | Relative Permeability |
| Potassium K+ | 400 | 10 | 1 |
| Sodium Na+ | 50 | 460 | 0.04 |
| Chloride Cl- | 40 | 540 | 0.45 |
Getting to -70 mV
The Goldman equation Em =
58log((PK*[K]o+PNa*[Na]o+PCl*[Cl]i)/
(PK*[K]i+PNa*[Na]i+PCl*[Cl]o))
Permeability = the ability of an ion to reach equilibrium
Gets us to -67
The Sodium Potassium Pump
3 NA/2K
gets us to -70
Uses energy
Working the Membrane: The Action Potential
A Brief Review of Electricity
Potential
Flow
Resistance
Conductance α 1/Resistance
Ohm's Law:
V=IR= I/G
I = V/R = VG
V = Voltage
I = Current or Flow
R = Resistance
G = Conductance
An Electrical Description
of the Action Potential

Phases
Depolarization: -70 mV to +30mV
Repolarization: +30 to -70mV
Overshoot: ~-80mV
All-or-None Law
Use Goldman Equation to Figure out why Action Potential Happens and Why All-or-None
The Nernst Equation for potassium EK = 58log([K]o/[K]i) = -93 mV
The Goldman equation Em =
58log((PK*[K]o+PNa*[Na]o+PCl*[Cl]i)/
(PK*[K]i+PNa*[Na]i+PCl*[Cl]o))
Table of Permeabilities and Concentrations
| Ion | Concentration [IN] | Concentration [Out] | Relative Permeability |
| Potassium K+ | 400 | 10 | 1 |
| Sodium Na+ | 50 | 460 | 0.04 |
| Chloride Cl- | 40 | 540 | 0.45 |