Description
Formal first-order research accumulation factor for an explicitly supplied interval.
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.
Formal first-order research accumulation factor for an explicitly supplied interval.
When to use this tool
Use PK Accumulation Explicit Interval Factor 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 rate, interval. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read retainedFraction, accumulationFactor. Use the output convention below.
For positive rate and interval return retainedFraction=exp(-rate*interval) and accumulationFactor=1/(-expm1(-rate*interval)).1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| rate | Rate | Required. Finite number; strictly above 0. |
| interval | Positive repeated-input interval in the rate time unit. | Required. Finite number; strictly above 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| retainedFraction | Retained Fraction | Required. Finite number. |
| accumulationFactor | Accumulation Factor | Required. Finite number. |
{
"input": {
"rate": 0.6931471805599453,
"interval": 1
},
"output": {
"retainedFraction": 0.5,
"accumulationFactor": 2
}
}Limitations and assumptions
- Rate is inverse time and interval uses that time unit. This ideal repeated-input first-order factor assumes compatible linear kinetics; it does not recommend a dose or interval, and an extremely small product can exceed finite output range.
- 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 Research Censored Concentration Interval
Interpret an explicitly supplied concentration censor token without imputing a value.
- PK Absorption Elimination Rate Gap
Research Bateman exponential-difference factor with the equal-rate limit.