# 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 4 mg/L and an IV bolus dose to achieve that concentration rapidly. Assume a one compartment pharmacokinetic model.
The kel and V values for this drug are 0.194 hr^{-1} and 28.9 L respectively.

Question 2.
Calculate the fast infusion rate (over 15 min) required to achieve a desired drug concentration of 4 mg/L and a slow IV infusion rate to maintain that concentration. Assume a one compartment pharmacokinetic model.
The kel and V values for this drug are 0.187 hr^{-1} and 44.7 L respectively.

Question 3.
A drug has been given at an infusion rate of 20 mg/hr for 30 min. Two drug concentration values determined at 2 hr and 24 hr after the start of the infusion were 0.124 and 0.000695 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**

Last update: Sat 20 Apr 2019 04:57:29 pm

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