Biopharmaceutics and Pharmacokinetics: Area Under the Curve (AUC)
Introduction
- AUC Definition: Represents the total integrated area under the plasma level-time profile indicating the total amount of active drug reaching systemic circulation.
- AUC Formula: AUC = Dose / Clearance
- Units: Expressed in microgram per ml hours.
- Independence: Independent of the route of drug administration and elimination rate, provided these rates do not change.
- Proportionality: AUC is directly proportional to the dose of a drug.
Importance of AUC
- Toxicology: Measures drug exposure, derived from drug concentration and time, indicating how long and how much drug stays in the body.
- Efficacy: Some antibiotics’ effectiveness is related to AUC or MIC (Minimum Inhibitory Concentration).
- Bioavailability: Crucial for evaluating the bioavailability of a drug from different dosage forms, representing the extent of absorption.
- Pharmacokinetics: Used to determine pharmacokinetic parameters such as clearance or bioavailability.
- Chronic Conditions: Important for drugs administered repetitively for chronic conditions like asthma or epilepsy.
Methods to Determine AUC
- Available Methods:
- Plenty meter method
- Cut and weight method
- Trapezoidal rule (focus of this lecture)
- Counting square method
Trapezoidal Rule
- Purpose: Simplest and most common method to determine AUC.
- Steps:
- Divide AUC into Trapezoids: Segment the whole AUC into small trapezoids.
- Calculate Area of Each Segment: Use the formula:
- AUC(1-2) = (Cp2 + Cp1) / 2 * (T2 - T1)
- Sum All Segment Areas: Add up all segment areas.
- Consider First and Last Segments:
- First Segment: Calculate after determining zero plasma concentration (Cp0) by extrapolation.
- Last Segment: Utilize the specific formula to calculate.
Conclusion
- Utility: AUC calculated using the trapezoidal rule helps in determining the relative efficiency of drug products, total body clearance, and the apparent volume of distribution.
- Application: Direct calculation from Cp versus time data.
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