Math 430 and Math 635: Analytical and Computational Neuroscience
Fall 2001, Prof. V. Booth

Homework 1. Due Wednesday, Sept. 12, 2001

Use the data in the table of equilibrium potentials handed out in class.

1.  Suppose the external potassium concentration in a mammalian cell is increased by a factor of 10.  What is the new value of the equilibrium potential for potassium?

2. At 10 degrees Celcius, a cell contains 80 mM sodium inside and the extracellular medium has a concentration of 100 mM.  What is the equilibrium potential for sodium?

3. When a mammalian cell is at rest, the permeabilities of potassium, sodium and chloride ions have the ratio Pk:Pna:Pcl = 1:0.01:0.1 but when the voltage is increased the permeabilities change to Pk:Pna:Pcl = 1:18:0.1.  Use the Goldman-Hodgkin-Katz Equation to compute the resting potential and the potential after voltage is increased for this cell.