Echocardiography Simpson One Disc Term Tool

Description

Return one elliptical-disc contribution to echo volume.

Cardiac measurement formulas depend on geometry, units, calibration and reference origins. A Doppler projection correction, echo disc-volume contribution or waveform integral evaluates supplied quantities without validating image acquisition, signal quality or physiological interpretation.

Return one elliptical-disc contribution to echo volume.

When to use this tool

Use Echocardiography Simpson One Disc Term when checking one supplied cardiac measurement, geometry or calibration term.

How to use the tool and how it works

Enter diameterFirst, diameterSecond, discHeight. Use the units and conventions below.
Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
Read crossSectionArea, discVolume. Use the output convention below.

Return one elliptical-disc contribution to echo volume. Require nonnegative paired diameters/discHeight; crossSectionArea = pi*d1*d2/4, discVolume = area*height.^[1]

Disc summation combines geometric volume contributions. Ventricular ejection fraction uses chamber end-diastolic and end-systolic volumes; a supplied forward-flow fraction is a different quantity.^[2]

Input field	Meaning and units	Accepted input
diameterFirst	Diameter First	Required. Finite number; minimum 0.
diameterSecond	Diameter Second	Required. Finite number; minimum 0.
discHeight	Disc thickness in the same length unit as both orthogonal diameters.	Required. Finite number; minimum 0.

Output field	Interpretation	Returned shape
crossSectionArea	Cross Section Area	Required. Finite number.
discVolume	Disc Volume	Required. Finite number.

json

{
  "input": {
    "diameterFirst": 4,
    "diameterSecond": 3,
    "discHeight": 0.5
  },
  "output": {
    "crossSectionArea": 9.42477796076938,
    "discVolume": 4.71238898038469
  }
}

Limitations and assumptions

Matching length units give squared/cubic units; this is one geometric disc, not full Simpson volume, segmentation or cardiac assessment.
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. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Use validated acquisition and calibration, a complete appropriate measurement method and qualified clinical interpretation; assess measurement uncertainty and model assumptions separately.

References

Calculation and input contract: cardiology/echocardiography-simpson-one-disc-term — tool.io
Cardiac chamber quantification by echocardiography in adults — Roberto M. Lang and coauthors; ASE/EACVI

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