Table 1.
Michaelis-Menten Global Data Fitting a
| Sucrose = 333 mM | ||
|---|---|---|
| Time (m) | [P]/[S0] | Const |
| 7 | 0.0164 | 0.0496 |
| 14 | 0.0316 | 0.0479 |
| 26 | 0.0528 | 0.0432 |
| 49 | 0.0923 | 0.0412 |
| 75 | 0.1404 | 0.0408 |
| 117 | 0.2137 | 0.0407 |
| 1052 | 0.9834 | [0.0498] |
| Sucrose = 41.6 mM | ||
|---|---|---|
| Time (m) | [P]/[S0] | Const |
| 10.25 | 0.1147 | 0.0406 |
| 30.75 | 0.3722 | 0.0489 |
| 61.75 | 0.615 | 0.0467 |
| 90.75 | 0.747 | 0.0438 |
| 112.70 | 0.850 | 0.0465 |
| 132.70 | 0.925 | 0.0443 |
| 154.70 | 0.940 | 0.0405 |
| Sucrose = 166.7 mM | ||
|---|---|---|
| Time (m) | [P]/[S0] | Const |
| 8 | 0.0350 | 0.0444 |
| 16 | 0.0636 | 0.0446 |
| 28 | 0.1080 | 0.0437 |
| 52 | 0.1980 | 0.0444 |
| 82 | 0.3000 | 0.0445 |
| 103 | 0.3780 | 0.0454 |
| Sucrose = 20.8 mM | ||
|---|---|---|
| Time (m) | [P]/[S0] | Const |
| 17 | 0.331 | 0.0510 |
| 27 | 0.452 | 0.0464 |
| 38 | 0.611 | 0.0500 |
| 62 | 0.736 | 0.0419 |
| 95 | 0.860 | [0.0388] |
| 1372 | 0.990 | [0.058] |
| Sucrose = 83 mM | ||
|---|---|---|
| Time (m) | [P]/[S0] | Const |
| 49.5 | 0.352 | 0.0482 |
| 90.0 | 0.575 | 0.0447 |
| 125.0 | 0.690 | 0.0460 |
| 151.0 | 0.766 | 0.0456 |
| 208.0 | 0.900 | 0.0486 |
Const mean value = 0.0454/m
a
This reproduces the data from the last (unnumbered) table in Michaelis and Menten (1). Michaelis and Menten analyzed these data using the integrated form of the rate equations to compute a single constant, Const = C/KS, as described in the text. We fit these data globally based upon numerical integration of the rate equations to give the results shown in Fig. 1.