#3 (Source: Mahafy, Volume 1, Section 2.5 p. 92) Estimating the parameters lha a

Question

#3 (Source: Mahafy, Volume 1, Section 2.5 p. 92) Estimating the parameters lha and Km max [S Km + [S g the steps: Step I: Take reciprocal of both sides of the equation and simplity. Step2: Let y and x = [Sr write the linear equation. Step 3: Graph vs. Step3: Identify the slope and intercept of the equation and express them in terms of Vmax and K Step 4: Solve for Vmax and Km The table below gives data for some enzyme. 1. Complete the table. 2. The graph of! vs. is given below. 1/V vs. 1/[9 00014 0.0012 0.001 0008 0.0006 100 818.109394 350 1461.71565 600 1661.59983 850 1820.22329 1100 1864.76592 1350 177189634 0.00074 0.00056 1600 1800.6309 0.00063 0.00056 1850 1880 60391 0.00054 0.00053 2100 1863,88516 0.00048 0.00054 2350 1928.84101 0.00043 0.00052 260 1902 97661 | 0.00038 | 000053 2850 | 2003.52482 | 0.00035 0.00050 3100 2003.80267 0.00032 0.00050 3350 1929.29523 0.00030 0.00052 0002 0,003 00060.30900m12 0012 3. Read off the slope and y-intercept and estimate 3600 1923.87855 0.00028 0.00052max nd m 3850 2032.74099 | 0.00026 | 0.00049 4100 2013.730910.00024 0.00050 4350 2028 75593 0.00023 0,00049 4600 2039.35028 0.00022 0.00049 4850 1924.33253 0.00021 0.00052 51001939.62222 0.000200.00052 5350 2083.55628 0.00019 0.00048 5600 | 196592613 | 0.00018 0.00051 5850 1931.99578 0.00017 0.00052

Explanation / Answer

The x comun is obtained by taking reciprocal of [S] and Y column is obtained by taking reciprocal of V. Last two rows verifies the calculations

[S] Velocity V X=1/[S] Y=1/V 100 818.109394 0.01000 0.00122 350 1461.71565 0.00286 0.00068 600 1661.59983 0.00167 0.00060 850 1820.22329 0.00118 0.00055 1100 1864.79592 0.00091 0.00054 1350 1771.89634 0.00074 0.00056 1600 1800.60391 0.00063 0.00056

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