Question

Difficulty: HardPharmacokinetic and Pharmacodynamic Principles

A 6565-year-old man is hospitalized for treatment of methicillin-resistant *Staphylococcus aureus* (MRSA) osteomyelitis. For the past week, he has been receiving a continuous intravenous infusion of a novel antimicrobial agent at a rate of 4040 mg/hr. His renal and hepatic functions have remained stable. Routine therapeutic drug monitoring reveals a steady-state plasma concentration of 88 mg/L.

The patient is now clinically stable and is being prepared for discharge to complete a prolonged course of therapy. The infectious disease specialist recommends transitioning the patient to an oral formulation of the same medication. To ensure adequate bone penetration for the remainder of the therapy, the specialist also recommends targeting a higher average steady-state plasma concentration of 1212 mg/L.

The oral formulation of this medication has a known bioavailability of 60%60\% (F=0.60F = 0.60). The planned dosing interval for the oral regimen is every 88 hours.

Assuming the patient's pharmacokinetic parameters remain constant, what oral dose (in mg) should be administered every 88 hours to achieve the new target concentration?

Answer: 800 mg

Answer

The correct oral dose to administer is 800800 mg every 88 hours.
To solve this pharmacokinetic conversion, one must first determine the patient's individual drug clearance (CLCL). During a continuous IV infusion, steady-state is achieved when the rate of drug administration equals the rate of elimination. Using the formula CL=Infusion RateCssCL = \frac{\text{Infusion Rate}}{C_{ss}}, we find CL=40 mg/hr8 mg/L=5 L/hrCL = \frac{40 \text{ mg/hr}}{8 \text{ mg/L}} = 5 \text{ L/hr}.

Next, to achieve a new target steady-state concentration (CssC_{ss}) of 1212 mg/L, the new required systemic delivery rate must be calculated: Rate=CL×Target Css=5 L/hr×12 mg/L=60 mg/hr\text{Rate} = CL \times \text{Target } C_{ss} = 5 \text{ L/hr} \times 12 \text{ mg/L} = 60 \text{ mg/hr}.

Since the new regimen will be administered intermittently every 88 hours (τ=8\tau = 8 hr), the total systemic exposure required per interval is 60 mg/hr×8 hr=480 mg60 \text{ mg/hr} \times 8 \text{ hr} = 480 \text{ mg}.

Finally, because the oral formulation is only 60%60\% bioavailable (F=0.60F = 0.60), the administered oral dose must be larger than the required systemic dose to account for first-pass metabolism and incomplete absorption. The maintenance dose equation is Dose=CL×Css×τF\text{Dose} = \frac{CL \times C_{ss} \times \tau}{F}. Substituting the values yields Dose=480 mg0.60=800 mg\text{Dose} = \frac{480 \text{ mg}}{0.60} = 800 \text{ mg}.

Step-by-Step Solution

1
Calculate Clearance (CLCL)
CL=40 mg/hr8 mg/L=5 L/hrCL = \frac{40 \text{ mg/hr}}{8 \text{ mg/L}} = 5 \text{ L/hr}
At steady state during a continuous infusion, the infusion rate equals the elimination rate. Clearance is the proportionality constant relating the rate of elimination to the plasma concentration.
2
Calculate the new target systemic dosing rate
Target Rate=CL×Target Css=5 L/hr×12 mg/L=60 mg/hr\text{Target Rate} = CL \times \text{Target } C_{ss} = 5 \text{ L/hr} \times 12 \text{ mg/L} = 60 \text{ mg/hr}
To maintain a higher steady-state concentration, a higher continuous systemic delivery rate is required.
3
Calculate the required systemic dose per dosing interval (τ\tau)
Systemic Dose=60 mg/hr×8 hr=480 mg\text{Systemic Dose} = 60 \text{ mg/hr} \times 8 \text{ hr} = 480 \text{ mg}
Because the drug will be given intermittently every 88 hours rather than continuously, the total amount of drug that must reach the systemic circulation over that 88-hour period is 480480 mg.
4
Adjust for oral bioavailability (FF)
Oral Dose=480 mg0.60=800 mg\text{Oral Dose} = \frac{480 \text{ mg}}{0.60} = 800 \text{ mg}
Only 60%60\% of the orally administered dose reaches the systemic circulation. Therefore, the administered dose must be proportionally larger than the required systemic dose.

Key Concept

Calculation of maintenance dosing intervals and IV-to-PO conversion using fundamental pharmacokinetic principles (Clearance, Bioavailability, and Steady-State Concentration).
Rate this question