# 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 10 mg/hr has been administered to a patient. Assume a one compartment pharmacokinetic model.
The V and t_{1/2} values for this drug are 48.2 L and 3 hr respectively.

Question 2.
Calculate the infusion rate required to achieve a drug concentration of 10 mg/L at 6 hours after a continuous IV infusion has been started. Assume a one compartment pharmacokinetic model.
The kel and V values for this drug are 0.209 hr^{-1} and 42.1 L respectively.

Question 3.
Calculate the steady state drug concentration after a continuous IV infusion of 10 mg/hr has been administered to the patient. Assume a one compartment pharmacokinetic model.
The kel and V values for this drug are 0.276 hr^{-1} and 30.4 L respectively.

Question 4.
Calculate the infusion rate required to achieve a steady state drug concentration of 0.5 mg/L. Assume a one compartment pharmacokinetic model.
The V and total body clearance values for this drug are 39.4 L and 6.7 L/hr respectively.

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**Some Equations:**

**Equation 15.1.1 Drug Concentration during an IV Infusion**

**Equation 15.1.2 Steady State Drug Concentration after an IV Infusion**

Last update: Sun 14 Apr 2019 08:16:58 pm

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