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Gastrulation Marker Migration One Step Tool

One observed planar marker displacement at a supplied time interval; no developmental mechanism is inferred.

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Description

Return marker displacement and average migration speed.

Microscopy coordinates require scale, origin, orientation and often optical correction. A normalized landmark coordinate or refractive-index ratio is one geometric term rather than a complete image registration or validated biological measurement.

Return marker displacement and average migration speed.

When to use this tool

Use Gastrulation Marker Migration One Step when checking a supplied developmental-image coordinate transformation.

How to use the tool and how it works

  1. Enter startX, startY, endX, endY, elapsed. 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 dx, dy, speed. Use the output convention below.

Return marker displacement and average migration speed. Require elapsed > 0; dx,dy subtract initial from final coordinates, and speed = hypot(dx,dy)/elapsed.1

Input fieldMeaning and unitsAccepted input
startXStart XRequired. Finite number.
startYStart YRequired. Finite number.
endXEnd XRequired. Finite number.
endYEnd YRequired. Finite number.
elapsedElapsedRequired. Finite number; strictly above 0.
Output fieldInterpretationReturned shape
dxDxRequired. Finite number.
dyDyRequired. Finite number.
speedSpeedRequired. Finite number.
json
{
  "input": {
    "startX": 1,
    "startY": 2,
    "endX": 4,
    "endY": 6,
    "elapsed": 2
  },
  "output": {
    "dx": 3,
    "dy": 4,
    "speed": 2.5
  }
}

Limitations and assumptions

  • Use calibrated length/time units; this chord speed does not recover a curved trajectory or mechanism.
  • 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 calibrated imaging and suitable full shape or optical models when geometry and measurement accuracy matter.

References

  1. Calculation and input contract: developmental-biology/gastrulation-marker-migration-one-step — tool.io

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