PK AUC One Trapezoid Panel Tool

Description

One linear or logarithmic research AUC panel under an explicit convention.

Pharmacokinetic research describes concentration over time using measurement units and an explicit model. Concentration-time area, its time-weighted moment, inverse-time rate constants, clearance, and volume are related but distinct quantities. A conversion or local model term does not estimate every parameter or validate a complete study.

One linear or logarithmic research AUC panel under an explicit convention.

When to use this tool

Use PK AUC One Trapezoid Panel when you need this concentration-time conversion, sampling check, local integral panel, or explicitly supplied kinetic-model term.

How to use the tool and how it works

Enter firstTime, secondTime, firstConcentration, secondConcentration, logarithmic. Use the units and conventions below.
Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
Read area, duration. Use the output convention below.

Require secondTime>=firstTime and nonnegative concentrations, both positive if logarithmic. If logarithmic and concentrations differ, return area=duration*(secondConcentration-firstConcentration)/(ln(secondConcentration)-ln(firstConcentration)); otherwise use duration*(firstConcentration+secondConcentration)/2. Also return duration.^[1]

Input field	Meaning and units	Accepted input
firstTime	First Time	Required. Finite number.
secondTime	Second Time	Required. Finite number.
firstConcentration	First Concentration	Required. Finite number.
secondConcentration	Second Concentration	Required. Finite number.
logarithmic	Logarithmic	Required. Boolean.

Output field	Interpretation	Returned shape
area	Area in a unit compatible with the other physical inputs.	Required. Finite number.
duration	Duration	Required. Finite number.

json

{
  "input": {
    "firstTime": 0,
    "secondTime": 2,
    "firstConcentration": 8,
    "secondConcentration": 4,
    "logarithmic": false
  },
  "output": {
    "area": 12,
    "duration": 2
  }
}

Limitations and assumptions

The chosen panel rule is explicit and not an automatic linear-up/log-down policy. Time and concentration units determine the AUC unit; one panel does not estimate total exposure or an extrapolated terminal tail.
Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Signed zero is exported as zero.

Alternative or Complementary methods

Use a complete study analysis when a local panel, transformation, or model factor is insufficient. Check sampling times, censoring, assay support, unit conventions, and the validity of the assumed kinetic regime.

References

Calculation and input contract: pharmacokinetics/pk-auc-one-trapezoid-panel — tool.io

Similar or alternative tools

PK AUMC One Trapezoid Panel
Return momentArea=(secondTime-firstTime)*(firstTime*firstConcentration+secondTime*secondConcentration)/2 and concentrationArea=(secondTime-firstTime)*(firstConcentration+secondConcentration)/2.
PK Clearance Research AUC Unit Factor
Research amount/AUC arithmetic with supplied unit bases and bioavailability.