Description
Return momentArea=(secondTime-firstTime)*(firstTime*firstConcentration+secondTime*secondConcentration)/2 and concentrationArea=(secondTime-firstTime)*(firstConcentration+secondConcentration)/2.
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.
Return momentArea=(secondTime-firstTime)*(firstTime*firstConcentration+secondTime*secondConcentration)/2 and concentrationArea=(secondTime-firstTime)*(firstConcentration+secondConcentration)/2.
When to use this tool
Use PK AUMC 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. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read momentArea, concentrationArea. Use the output convention below.
Require 0<=firstTime<=secondTime and nonnegative concentrations. Return momentArea=(secondTime-firstTime)*(firstTime*firstConcentration+secondTime*secondConcentration)/2 and concentrationArea=(secondTime-firstTime)*(firstConcentration+secondConcentration)/2.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| firstTime | First Time | Required. Finite number; minimum 0. |
| secondTime | Second Time | Required. Finite number. |
| firstConcentration | First Concentration | Required. Finite number; minimum 0. |
| secondConcentration | Second Concentration | Required. Finite number; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| momentArea | One trapezoidal panel of time times concentration, in concentration*time^2 units. | Required. Finite number. |
| concentrationArea | Concentration Area | Required. Finite number. |
{
"input": {
"firstTime": 1,
"secondTime": 3,
"firstConcentration": 8,
"secondConcentration": 4
},
"output": {
"momentArea": 20,
"concentrationArea": 12
}
}Limitations and assumptions
- This trapezoid approximates the time-weighted concentration integrand for AUMC separately from AUC. It is not the exact integral of time times a linearly interpolated concentration; time origin and the full sampling grid remain the caller's responsibility.
- 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
Similar or alternative tools
- PK AUC One Trapezoid Panel
One linear or logarithmic research AUC panel under an explicit convention.
- PK Mean Residence Moment Ratio Term
For positive auc and nonnegative aumc and inputDuration return momentRatio=aumc/auc and adjustedResidence=momentRatio minus inputDuration/2 only when subtractHalfDuration.