# IV Infusion - Example Calculations 2

## After an IV Infusion - Linear One Compartment Model

Question 1.
Calculate the infusion rate required to maintain a desired drug concentration of 120 mg/L and an IV bolus dose to achieve that concentration rapidly. Assume a one compartment pharmacokinetic model.
The V and t_{1/2} values for this drug are 53.9 L and 4.2 hr respectively.

Question 2.
Calculate the fast infusion rate (over 10 min) required to achieve a desired drug concentration of 1 mg/L and a slow IV infusion rate to maintain that concentration. Assume a one compartment pharmacokinetic model.
The V and t_{1/2} values for this drug are 44.2 L and 3.4 hr respectively.

Question 3.
A drug has been given at an infusion rate of 100 mg/hr for 30 min. Two drug concentration values determined at 4 hr and 6 hr after the start of the infusion were 0.418 and 0.235 mg/L, respectively. Assuming a one compartment model applies for this drug estimate the elimination rate constant, elimination half-life, apparent volume of distribution and the total body clearance for the drug.

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**The Equations:**

**Equation 15.2.1 Drug Concentration after an IV Infusion**

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