# IV Infusion - Example Calculations

## During an IV Infusion - Linear One Compartment Model

Question 1.
Calculate the drug concentration 1 hours after a continuous IV infusion of 75 mg/hr has been administered to a patient. Assume a one compartment pharmacokinetic model.
The kel and V values for this drug are 0.142 hr^{-1} and 41.5 L respectively.

Question 2.
Calculate the infusion rate required to achieve a drug concentration of 24 mg/L at 1.5 hours after a continuous IV infusion has been started. Assume a one compartment pharmacokinetic model.
The kel and V values for this drug are 0.174 hr^{-1} and 33.5 L respectively.

Question 3.
Calculate the steady state drug concentration after a continuous IV infusion of 6 mg/hr has been administered to the patient. Assume a one compartment pharmacokinetic model.
The V and t_{1/2} values for this drug are 46.1 L and 2.4 hr respectively.

Question 4.
Calculate the infusion rate required to achieve a steady state drug concentration of 10 mg/L. Assume a one compartment pharmacokinetic model.
The kel and V values for this drug are 0.292 hr^{-1} and 17.7 L 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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