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Morphogen Source Sink Flux Balance Tool

Calculate morphogen source sink flux balance from explicit caller-supplied inputs.

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Description

Return net morphogen amount and concentration rates.

Morphogen models distinguish amount flow, concentration and spatial decay. A steady exponential profile or local flux balance requires explicit geometry, reaction assumptions and compatible units; it is not a fitted mechanism.

Return net morphogen amount and concentration rates.

When to use this tool

Use Morphogen Source Sink Flux Balance when checking a supplied morphogen-domain or balance term.

How to use the tool and how it works

  1. Enter production, inflow, outflow, degradation, volume. 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 amountRate, concentrationRate. Use the output convention below.

Return net morphogen amount and concentration rates. Require nonnegative production, inflow, outflow, degradation and positive volume; amountRate = production+inflow-outflow-degradation; concentrationRate divides by volume.1

Input fieldMeaning and unitsAccepted input
productionProductionRequired. Finite number.
inflowInflowRequired. Finite number.
outflowOutflowRequired. Finite number.
degradationDegradationRequired. Finite number.
volumeVolumeRequired. Finite number; strictly above 0.
Output fieldInterpretationReturned shape
amountRateproduction+inflow-outflow-degradation, in amount per time.Required. Finite number.
concentrationRateNet amount rate divided by supplied volume, in amount/(volume*time).Required. Finite number.
json
{
  "input": {
    "production": 10,
    "inflow": 2,
    "outflow": 3,
    "degradation": 5,
    "volume": 2
  },
  "output": {
    "amountRate": 4,
    "concentrationRate": 2
  }
}

Limitations and assumptions

  • Rates need compatible amount/time units and constant volume; transport mechanisms are not inferred.
  • 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 suitable concentration measurements, boundary conditions and a full transport/reaction model when inferring developmental mechanisms.

References

  1. Calculation and input contract: developmental-biology/morphogen-source-sink-flux-balance — tool.io

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