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Spirometry Start Time Back Extrapolated Offset Tool

Zero-time intercept of a supplied waveform tangent, without selecting a tangent or judging spirometry acceptability.

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Description

Zero-time intercept of a supplied waveform tangent, without selecting a tangent or judging spirometry acceptability.

A bench or research calculation starts from supplied measurements, reference values, and unit conventions. A transformed value, timing difference, or support fraction describes that model; its clinical meaning depends on measurement validity and a separate professional assessment.

Zero-time intercept of a supplied waveform tangent, without selecting a tangent or judging spirometry acceptability.

When to use this tool

Use it for spirometry start time back extrapolated offset when the required inputs and conventions are already available.

How to use the tool and how it works

  1. Enter tangentSlope, tangentTime, tangentVolume, recordedStart. Use the stated units and boundary conventions.
  2. Run the calculation. Correct any input error before interpreting a result.
  3. Read extrapolatedZeroTime, startOffset, extrapolatedVolumeAtStart. Inspect any known, defined, inclusion, or boundary flags before interpreting numeric values.

Require nonzero tangentSlope. Calculate extrapolatedZeroTime=tangentTime-tangentVolume/tangentSlope, startOffset relative to recordedStart, and the tangent's extrapolatedVolumeAtStart.1

Input fieldMeaning and unitsAccepted input
tangentSlopeTangent SlopeRequired. Finite number.
tangentTimeTangent TimeRequired. Finite number.
tangentVolumeTangent VolumeRequired. Finite number.
recordedStartRecorded StartRequired. Finite number.
Output fieldInterpretationReturned shape
extrapolatedZeroTimeExtrapolated Zero TimeRequired. Finite number.
startOffsetStart OffsetRequired. Finite number.
extrapolatedVolumeAtStartExtrapolated Volume At StartRequired. Finite number.
json
{
  "input": {
    "tangentSlope": 4,
    "tangentTime": 0.5,
    "tangentVolume": 1,
    "recordedStart": 0
  },
  "output": {
    "extrapolatedZeroTime": 0.25,
    "startOffset": 0.25,
    "extrapolatedVolumeAtStart": -1
  }
}

Limitations and assumptions

  • The tangent is supplied rather than fitted from data. Consistent volume and time units are required, and these terms do not establish maneuver acceptability or select a clinical time-zero convention.
  • The field tables describe structural bounds; the mechanics also state cross-field requirements. Malformed input shapes, disallowed keys, and invalid domains cause input errors. Results must remain finite and within the declared output contract. A successful false flag or zero placeholder is distinct from an error.
  • Numeric arithmetic uses binary floating point. Exact comparisons have no hidden tolerance or decimal rounding; negative zero is exported as zero. Decimal-text integer operations retain the exactness specifically stated above.

Alternative or Complementary methods

For spirometry start time back extrapolated offset, check the source records and the supplied rule before comparing the result with another method. Use an appropriately validated measurement or analysis method for clinical interpretation.

References

  1. Calculation and input contract: pulmonology/spirometry-start-time-back-extrapolated-offset — tool.io

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