Given the following concentrations, use the Nernst equation to determine the equilibrium potentials for each ion:
Inside: 130 mM Na, 125 mM K, 110 mM Cl, 0.1 mM Ca
Outside: 1.0 mM Na, 0.04 mM K, 0.45 mM Cl, 0.0001 mM Ca
Using the concentrations and relative permeabilities, use the Goldman-Hodgkin-Katz (G-H-K) equation to calculate the membrane potential (V) for a neuron at rest.
Assume that during an action potential, the relative permeability to Na changes from 0.04 to 10 (i.e., the cell is suddenly more permeable to Na than to K). Recalculate V to determine the voltage the membrane would attain under these conditions.
While recording from a neuron in the Neurobiology lab, you notice that injecting 10 nA of current into the cell causes it to depolarize by 40 mV. You determine that it reaches 63% of that voltage change in 15 msec. Given this information, determine the following:
- tm (time constant)
- Rm (membrane resistance)