AUC From Measured Levels (Trapezoidal Rule)

Area under the concentration-time curve from measured levels by the trapezoidal rule, linear or linear-up log-down.

Open the calculator → Runs in your browser. Data leaves only if you deliberately send a problem report from the interactive tool.

Example

Samples, one per line
0, 10 1, 10 2, 5
Method: linear, or linear-up-log-down
Linear trapezoids
Extrapolate to infinity
No

Result: AUC 17.5 (concentration × hours) from 0 to 2 hours.

The tool opens with these values already filled in. Replace them with your own.

What you enter

  • Samples, one per line: time in hours, then the concentration
  • Method: linear, or linear-up-log-down
  • Extrapolate to infinity (yes or no)
  • Last samples to fit the terminal slope through (when extrapolating)
  • Dose, for clearance (optional)
How this is calculated

Citation

Arithmetic: the trapezoidal rule on measured levels, linear or linear-up log-down, with the area past the last sample taken as that level over the terminal rate constant. No empirical constant.

A reference and educational tool. Not medical, legal, or financial advice, and not a substitute for clinician judgment.

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Built by Clay Good. Source on GitHub.