Description
Return circular bone cross-section area fractions.
Anatomical diagrams and idealized models require explicit coordinate origins, axes, dimensions and indexing conventions. Translations, vector projections and simple shape formulas describe supplied geometry rather than identifying actual anatomy or determining a medical finding. A scaled drawing or ideal branching tree needs separate anatomical verification.
Return circular bone cross-section area fractions.
When to use this tool
Use Bone Cortical Medullary Area Share when checking the stated diagram, coordinate, vector or ideal-shape convention.
How to use the tool and how it works
- Enter outerDiameter, innerDiameter. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read totalArea, medullaryArea, corticalArea, corticalFraction. Use the output convention below.
Return circular bone cross-section area fractions. Require outerDiameter > 0 and innerDiameter within it; total/medullary areas use pi*d²/4, cortical area is their difference, corticalFraction = 1-(inner/outer)².1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| outerDiameter | Outer Diameter | Required. Finite number; strictly above 0. |
| innerDiameter | Inner Diameter | Required. Finite number; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| totalArea | Total Area | Required. Finite number. |
| medullaryArea | Medullary Area | Required. Finite number. |
| corticalArea | Cortical Area | Required. Finite number. |
| corticalFraction | Cortical Fraction | Required. Finite number. |
{
"input": {
"outerDiameter": 10,
"innerDiameter": 6
},
"output": {
"totalArea": 78.53981633974483,
"medullaryArea": 28.274333882308138,
"corticalArea": 50.26548245743669,
"corticalFraction": 0.64
}
}Limitations and assumptions
- This assumes concentric circular sections, not measured bone geometry, strength or clinical condition.
- 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 verified anatomical measurements and an appropriate complete spatial model; consult qualified health professionals for actual medical interpretation.
References
Similar or alternative tools
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