Description
Return signed curvature and outer/inner arc ratio for a folded layer.
Developmental biological models connect supplied dimensions, counts and growth factors under explicit geometry and sampling assumptions. A local asymmetry or inferred duration is not direct evidence of cell fate, mechanism or abnormal development.
Return signed curvature and outer/inner arc ratio for a folded layer.
When to use this tool
Use Tissue Fold Curvature Radius Term when checking one supplied tissue, count or growth-model contribution.
How to use the tool and how it works
- Enter radius, signedOrientation, thickness. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read curvature, outerInnerArcRatio. Use the output convention below.
Return signed curvature and outer/inner arc ratio for a folded layer. Require radius > 0, sign exactly ±1 and 0 <= thickness < 2*radius; curvature = sign/radius and ratio = (radius+thickness/2)/(radius-thickness/2).1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| radius | Radius | Required. Finite number; strictly above 0. |
| signedOrientation | Signed Orientation | Required. Safe integer. |
| thickness | Thickness | Required. Finite number; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| curvature | Signed reciprocal radius; reciprocal length units. | Required. Finite number. |
| outerInnerArcRatio | (radius+thickness/2)/(radius-thickness/2); assumes the supplied bent-layer geometry. | Required. Finite number. |
{
"input": {
"radius": 10,
"signedOrientation": 1,
"thickness": 2
},
"output": {
"curvature": 0.1,
"outerInnerArcRatio": 1.2222222222222223
}
}Limitations and assumptions
- This ideal circular fold omits variable curvature, tissue stresses and three-dimensional geometry.
- 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 appropriate biological observations and a complete validated model for developmental interpretation or experimental inference.
References
Similar or alternative tools
- Tissue Growth Anisotropy Principal Ratio
Return planar growth area and directional anisotropy from supplied stretches.
- Cell Cycle Phase Fraction Duration Term
Estimate phase duration from a supplied positive-cell fraction.