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 × 10−11 |
0.05 | 7.595 × 10−9 |
0.1 | 6.063 × 10−8 |
0.5 | 5.788 × 10−6 |
1 | 1.737 × 10−5 |
5 | 2.423 × 10−5 |
10 | 2.430 × 10−5 |
50 | 2.431 × 10−5 |
100 | 2.431 × 10−5 |
(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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