If the dosing interval τ is halved while keeping dose and clearance constant, how is Css,avg affected?

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Multiple Choice

If the dosing interval τ is halved while keeping dose and clearance constant, how is Css,avg affected?

Explanation:
The key idea is that the average steady-state concentration for repeated dosing at linear pharmacokinetics depends on the dosing rate relative to clearance. The average concentration over a dosing interval is given by Css,avg = (Dose/τ) / CL = Dose / (τ × CL). If you keep the dose and clearance the same but halve the dosing interval, the dosing rate (Dose/τ) doubles. Since clearance stays the same, Css,avg must double. This relies on reaching steady state with regular dosing and linear kinetics.

The key idea is that the average steady-state concentration for repeated dosing at linear pharmacokinetics depends on the dosing rate relative to clearance. The average concentration over a dosing interval is given by Css,avg = (Dose/τ) / CL = Dose / (τ × CL). If you keep the dose and clearance the same but halve the dosing interval, the dosing rate (Dose/τ) doubles. Since clearance stays the same, Css,avg must double. This relies on reaching steady state with regular dosing and linear kinetics.

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