# 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 Clearance and V1 for this drug in this patient (44.2 kg) are 3 L/hr and 0.5 L/kg, respectively.
The k12 and k21 values this drug are 1.94 and 2.68 hr^{-1}, respectively. What is the plasma concentration of this drug 3 hours after a 10 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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