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Concentration Support Window Share Tool

Account for supplied piecewise-constant nonclinical concentration-time cells; no inferred AUC or dosing.

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Description

Calculate the quantified share of a supplied concentration-duration integral within a selected window.

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.

Calculate the quantified share of a supplied concentration-duration integral within a selected window.

When to use this tool

Use Concentration Support Window Share 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

  1. Enter concentrations, durations, inWindow, quantified. Keep parallel arrays aligned. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read windowIntegral, supportedIntegral, share, defined. Inspect defined before interpreting the associated values.

Require aligned concentrations, durations, inWindow, and quantified arrays with nonnegative concentrations and durations. Sum concentration*duration for in-window rows into windowIntegral, and rows also quantified into supportedIntegral; return share=supportedIntegral/windowIntegral when positive, otherwise zero with defined=false.1

Input fieldMeaning and unitsAccepted input
concentrationsConcentrations on one compatible assay scale.Required. Array of finite number; maximum items 256.
durationsDurationsRequired. Array of finite number; maximum items 256.
inWindowIn WindowRequired. Array of boolean; maximum items 256.
quantifiedQuantifiedRequired. Array of boolean; maximum items 256.
Output fieldInterpretationReturned shape
windowIntegralWindow IntegralRequired. Finite number.
supportedIntegralSupported IntegralRequired. Finite number.
shareDimensionless share under the stated base; not a percentage numeral.Required. Finite number.
definedWhether the associated ratio is defined; inspect before using a zero placeholder.Required. Boolean.
json
{
  "input": {
    "concentrations": [
      2,
      3,
      5
    ],
    "durations": [
      1,
      2,
      1
    ],
    "inWindow": [
      true,
      true,
      false
    ],
    "quantified": [
      true,
      false,
      true
    ]
  },
  "output": {
    "windowIntegral": 8,
    "supportedIntegral": 2,
    "share": 0.25,
    "defined": true
  }
}

Limitations and assumptions

  • This is a rectangular contribution-weighted support share. Durations and flags are supplied; overlaps, sampling gaps, censoring, assay validity, and a full AUC integration rule are not inferred.
  • 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

  1. Calculation and input contract: pharmacokinetics/concentration-support-window-share — tool.io

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