Problem

Enzymatic reactions are used extensively to charac­terize biologically mediated reactions....

Enzymatic reactions are used extensively to charac­terize biologically mediated reactions. The following is an example of a model that is used to fit such reactions:

where v0 = the initial rate of the reaction (M/s), [S] = the substrate concentration (M), and km and K are parameters. The following data can be fit with this model:

[S], M

v0, M/s

0.01

6.078 × 1011

0.05

7.595 × 109

0.1

6.063 × 108

0.5

5.788 × 106

1

1.737 × 105

5

2.423 × 105

10

2.430 × 105

50

2.431 × 105

100

2.431 × 105

(a) Use a transformation to linearize the model and evaluate the parameters. Display the data and the model fit on a graph.


(b) Perform the same evaluation as in (a) but use nonlinear regression.

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Solutions For Problems in Chapter 14