To reach a target steady-state concentration Css, what is the required infusion rate?

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Multiple Choice

To reach a target steady-state concentration Css, what is the required infusion rate?

Explanation:
At steady state, the rate of drug entering the system must equal the rate being eliminated. The elimination rate for linear pharmacokinetics is the clearance times the target concentration, rate_out = Cl × Css. Setting input equal to elimination gives Rate_in = Css × Cl. This aligns with units: Css (mg/L) times Cl (L/h) gives mg/h, a proper infusion rate. This only holds for constant-rate infusion with linear kinetics and constant clearance. Using other factors like Q (blood flow) or dividing by Css would misrepresent the balance or produce incorrect units, so they don’t fit.

At steady state, the rate of drug entering the system must equal the rate being eliminated. The elimination rate for linear pharmacokinetics is the clearance times the target concentration, rate_out = Cl × Css. Setting input equal to elimination gives Rate_in = Css × Cl. This aligns with units: Css (mg/L) times Cl (L/h) gives mg/h, a proper infusion rate. This only holds for constant-rate infusion with linear kinetics and constant clearance. Using other factors like Q (blood flow) or dividing by Css would misrepresent the balance or produce incorrect units, so they don’t fit.

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