Chapter 20, Problem 7P

In Alzheimer's disease, the number of neurons in the cortex decreases as the disease progresses. The following data were taken to determine the number of neurotransmitter receptors left in a diseased brain. Free neurotransmitter $\left(\left[F\right]\right)$ was incubated with tissue and the concentration that bound specifically to a receptor $\left(\left[B\right]\right)$ was measured. When binding is specific to a receptor, the concentration bound is related to the free concentration by the following relationship:

$\left[B\right]=\frac{B_{\max }\left[F\right]}{K+\left[F\right]}$

Using the data below, determine the parameters that minimize the sum of the squares of the residuals. Also, compute $r^2$.

$\left[F\right],\text{ nM}$	0.1	0.5	1	5	10	20	50
$\left[B\right],\text{ nM}$	10.57	36.61	52.93	82.65	89.46	94.35	101.00