IV Infusion - Example Calculations

During an IV Infusion - Linear One Compartment Model

Question 1. Calculate the drug concentration 18 hours after a continuous IV infusion of 15 mg/hr has been administered to a patient. Assume a one compartment pharmacokinetic model. The kel and V values for this drug are 0.278 hr-1 and 36.5 L respectively.
Question 2. Calculate the infusion rate required to achieve a drug concentration of 6 mg/L at 6 hours after a continuous IV infusion has been started. Assume a one compartment pharmacokinetic model. The V and t1/2 values for this drug are 38.2 L and 3.3 hr respectively.
Question 3. Calculate the steady state drug concentration after a continuous IV infusion of 200 mg/hr has been administered to the patient. Assume a one compartment pharmacokinetic model. The V and total body clearance values for this drug are 54.7 L and 10.6 L/hr respectively.
Question 4. Calculate the infusion rate required to achieve a steady state drug concentration of 4 mg/L. Assume a one compartment pharmacokinetic model. The V and total body clearance values for this drug are 51.3 L and 5.5 L/hr respectively.


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Some Equations:

Cp during an IV infusion

Equation 15.1.1 Drug Concentration during an IV Infusion

Cp after a continuous IV Infusion

Equation 15.1.2 Steady State Drug Concentration after an IV Infusion


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