Trapezoidal AUC

Compute the trapezoidal area under a concentration-time segment as the average of the two concentrations multiplied by the elapsed time interval.

Description

Compute the trapezoidal area under a concentration-time segment as the average of the two concentrations multiplied by the elapsed time interval.

Trapezoidal AUC applies one documented biological calculation to the values you provide. Compute the trapezoidal area under a concentration-time segment as the average of the two concentrations multiplied by the elapsed time interval.1

When to use Trapezoidal AUC

Use this pharmacokinetic calculation when dose, exposure, concentration, time, and route use compatible units and refer to the same analyte and study period.

Starting concentration
Concentration at the start of the interval; must not be negative.
Ending concentration
Concentration at the end of the interval; must not be negative.
Start time
Time at the start of the interval.
End time
Time at the end of the interval; must be later than the start time.

How Trapezoidal AUC calculates the result

The implementation follows this calculation rule: Compute the trapezoidal area under a concentration-time segment as the average of the two concentrations multiplied by the elapsed time interval.

Area under curve
Trapezoidal area under the concentration-time segment.

Limitations of Trapezoidal AUC

AUC segments, clearance, bioavailability, bioequivalence ratios, and concentration–response parameters depend on sampling design and model assumptions. Sparse sampling, extrapolation, nonlinear kinetics, active metabolites, and unaligned doses can invalidate a comparison. Ratios and percentages become unstable when their denominator is small, uncertain, or defined differently between samples.

Alternative or Complementary measurements

Inspect the concentration–time data and calculate uncertainty with an appropriate pharmacokinetic model. Peak concentration, time to peak, terminal half-life, and dose-normalized exposure often provide complementary information.

References

  1. Pharmacokinetics — Wikipedia contributors

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