Description
For positive auc and nonnegative aumc and inputDuration return momentRatio=aumc/auc and adjustedResidence=momentRatio minus inputDuration/2 only when subtractHalfDuration.
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.
For positive auc and nonnegative aumc and inputDuration return momentRatio=aumc/auc and adjustedResidence=momentRatio minus inputDuration/2 only when subtractHalfDuration.
When to use this tool
Use PK Mean Residence Moment Ratio Term 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 auc, aumc, inputDuration, subtractHalfDuration. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read momentRatio, adjustedResidence. Use the output convention below.
For positive auc and nonnegative aumc and inputDuration return momentRatio=aumc/auc and adjustedResidence=momentRatio minus inputDuration/2 only when subtractHalfDuration.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| auc | Positive concentration-time area in a specified concentration times time unit. | Required. Finite number; strictly above 0. |
| aumc | Nonnegative first moment of concentration-time area, in concentration times time squared units. | Required. Finite number; minimum 0. |
| inputDuration | Nonnegative input duration in the AUC time unit. | Required. Finite number; minimum 0. |
| subtractHalfDuration | Subtract Half Duration | Required. Boolean. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| momentRatio | Moment Ratio | Required. Finite number. |
| adjustedResidence | Adjusted Residence | Required. Finite number. |
{
"input": {
"auc": 20,
"aumc": 100,
"inputDuration": 2,
"subtractHalfDuration": true
},
"output": {
"momentRatio": 5,
"adjustedResidence": 4
}
}Limitations and assumptions
- AUMC is concentration times time squared, so the ratio and inputDuration share a time unit. The half-duration correction is an explicit uniform-input assumption, may yield a negative result, and is not selected automatically from route metadata.
- 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 AUMC One Trapezoid Panel
Return momentArea=(secondTime-firstTime)*(firstTime*firstConcentration+secondTime*secondConcentration)/2 and concentrationArea=(secondTime-firstTime)*(firstConcentration+secondConcentration)/2.
- PK AUC One Trapezoid Panel
One linear or logarithmic research AUC panel under an explicit convention.