**Question:** Voluntamer Ram will receive a new drug in a Phase 1 clinical trial. The clearance and volume of distribution of the drug in Ram are 1.386L/hr and 80L respectively. The life of the drug in him would be approximately
A. 80 hours
B. 800 hours
C. 100 hours
D. 1,386 hours
**Core Concept:**
The clearance (CL) and volume of distribution (Vd) of a drug are important pharmacokinetic parameters that influence the half-life (t1/2) of a drug in the human body. The half-life is calculated using the following formula:
t1/2 = ln(2) / CL
**Why the Correct Answer is Right:**
In this question, we are given the clearance (CL) and volume of distribution (Vd) of the drug. The half-life (t1/2) of the drug in Voluntamer Ram can be calculated using the formula above:
t1/2 = ln(2) / 1.386L/hr
**Why Each Wrong Option is Incorrect:**
A) The calculated half-life is not close to 80 hours.
B) The calculated half-life is not close to 800 hours.
C) The calculated half-life is not close to 100 hours.
D) The calculated half-life is not close to 1,386 hours.
**Clinical Pearl:**
Understanding pharmacokinetic parameters like clearance and volume of distribution is crucial for interpreting drug concentration-time profiles, predicting drug interactions, and adjusting drug dosages in patients. In clinical practice, pharmacists and doctors use these values to determine the optimal drug dosing regimen.
In summary, the correct answer is option D:
**Correct Answer:** t1/2 = ln(2) / 1.386L/hr
**Explanation:**
The half-life (t1/2) of a drug is the time it takes for a drug's concentration to reduce to half its initial value in the body. A lower CL indicates a longer half-life, and a larger Vd indicates a greater distribution of the drug in the body.
**Why Option A, B, C, and E are Incorrect:**
A) 80 hours: The calculated half-life (D) is not close to 80 hours.
B) 800 hours: The calculated half-life (D) is not close to 800 hours.
C) 100 hours: The calculated half-life (D) is not close to 100 hours.
E) 1,386 hours: The calculated half-life (D) is not close to 1,386 hours.
**Clinical Pearl:**
Understanding pharmacokinetic principles, such as half-life calculation based on clearance and volume of distribution, aids in predicting drug effects and side effects, adjusting dosing regimens, and considering
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