The alpha value for a drug in the blood is 0.90, equating to 0.55 ng/mL. What is the concentration of total drug in the blood? The correct answer is 0.61 ng/mL. Please show how this question is solved.
Answer:
Step 1:
alpha = Concentration unbound / Concentration unbound + concentration bound
alpha = 0.90
Concentration unbound = 0.55ng/mL
Concentration bound = X
Step 2:
Calculate concentration bound
0.90 = 0.55 / 0.55 + X
By cross multiplying,
0.90(0.55 + X) = 0.55
(0.90 x 0.55) + (0.90 x X) = 0.55
0.495 + 0.90X = 0.55
0.90X = 0.55 - 0.495
0.90X = 0..055
X = 0.055/ 0.90
X = 0.0611
Concentration bound = 0.0611
Step 3:
Calculate the conentration of total drug in blood
Total drug = Concentration unbound + Concentration bound
= 0.55 + 0.0611
Total drug = 0.611ng/mL.
The total drug concentration in the blood = 0.61ng/mL.
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