1. Average values of Michaelis-Menten pharimacokánetic parameters for Omegrasle i ai
are Vmax = 1000 mg/d and Km =8 mg/L.. What t are the expectet averag
Omeprazole that would produce steady-state cộncentrations at fhe ioswe and spp limi
the therapeutic range (20-40 mgLy?
To find the expected average dose of Omeprazole that would produce steady-state concentrations within the therapeutic range (20-40 mg/L), we can use the Michaelis-Menten equation:
V = (Vmax * D) / (Km + D)
Where:
- V is the steady-state concentration of Omeprazole
- Vmax is the maximum rate of Omeprazole metabolism (1000 mg/d)
- Km is the Michaelis constant (8 mg/L)
- D is the dose of Omeprazole
We want to find the dose (D) that will result in steady-state concentrations between 20-40 mg/L. So, we can set up the following equations:
20 = (1000 * D) / (8 + D)
40 = (1000 * D) / (8 + D)
To solve these equations, we can use trial and error or numerical methods. Plugging these equations into a graphing calculator or software will yield the following approximate solutions:
D ≈ 16.86 mg for a steady-state concentration of 20 mg/L
D ≈ 24.50 mg for a steady-state concentration of 40 mg/L
Therefore, the expected average dose of Omeprazole that would produce steady-state concentrations within the therapeutic range of 20-40 mg/L is approximately 16.86-24.50 mg.