Suppose we have a biochemical reactiion where the concentration, s, of substrate is known to be s(t) = ke−At2 e

Bt

, for some constants k, A, and B. Here, t is time (in units of seconds) and s has units of µM.

Now suppose you do an experiment to determine the three unknown constants. In this experiment you measure s at three different time points, and you find that s(0) = 10 µM, s(1) = 10 µM, s(2) = 1.353

µM.

a. What are the units of k, A and B?

b. Take ln of both sides of the equation to get an equation that relates ln(s) to ln(k), A and B.

c. Use the measured data points to write three equations for ln(k), A and B.

d. Write these three equations in matrix form, and then use any appropriate software to solve for k, A and B.

e. Plot the graph of s.