The constant of proportionality governing the rate at which chemical enters the cell is three times as large as the constant governing the rate at which it leaves.
The models of diffusion derived in Section 5.5, Exercises 31 and 32 assume that the membrane between the vessels is equally permeable in both directions. Suppose instead that the constant of proportionality governing the rate at which chemical moves differs in the two directions. In each of the following cases,
a. Find the rate at which chemical moves from the smaller to the larger vessel.
b. Find the rate at which chemical moves from the larger to the smaller vessel.
c. Find the rate of change of the amount of chemical in each vessel.
d. Divide by the volumes V1 and V2 to find the rate of change of concentration.
e. Find and graph the null clines.
f. What are the equilibria? Do they make sense?