# Two compartment IV Bolus - Example Calculations

# Micro to Macro Constants

Question 1.
A drug follows first order (i.e. linear) two compartment pharmacokinetics. After looking in the literature we find a number of parameter values for this drug. These numbers represent the micro constants for this drug. In order that we can calculate the drug concentration after a single IV bolus dose these parameters need to be converted into values for the macro constants.
The kel and V1 for this drug in this patient (110 kg) are 0.212 hr^{-1} and 0.34 L/kg, respectively.
The k12 and k21 values this drug are 1.92 and 2.07 hr^{-1}, respectively. What is the plasma concentration of this drug 0.25 hours after a 50 mg, IV Bolus dose. In order to complete this calculation first calculate the appropriate A, B, α and β values.

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**Some Equations:**

**Equation 30.1.1 Cp versus Time after an IV Bolus - Two compartment model**

**Equation 30.1.2 α plus β**

**Equation 30.1.3 α times β**

**Equation 30.1.4 α or β**

**Equation 30.1.5 A value**

**Equation 30.1.6 B value**

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