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FRET Distance Efficiency Inverse Term Tool

Ideal FRET E=1/(1+(r/R0)^6) with a caller-supplied Forster radius.

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Description

Invert the supplied ideal FRET efficiency relation.

Fluorescence signals combine excitation, emission, detector response and background. An intensity ratio, effective lifetime or anisotropy correction describes a supplied optical model; measured signal fractions and ideal energy-transfer efficiencies are different quantities and need appropriate calibration.

Invert the supplied ideal FRET efficiency relation.

When to use this tool

Use FRET Distance Efficiency Inverse Term when checking the stated fluorescence, lifetime, transfer or polarization correction.

How to use the tool and how it works

  1. Enter efficiency, forsterRadius. 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 distance, radiusRatio. Use the output convention below.

Invert the supplied ideal FRET efficiency relation. Require efficiency in (0,1] and forsterRadius >= 0; radiusRatio = (1/efficiency-1)^(1/6), distance = radius*ratio.1

Input fieldMeaning and unitsAccepted input
efficiencyEfficiencyRequired. Finite number; maximum 1; strictly above 0.
forsterRadiusSupplied Förster radius on the same length basis as returned distance; zero is accepted.Required. Finite number; minimum 0.
Output fieldInterpretationReturned shape
distanceDistanceRequired. Finite number.
radiusRatioRadius RatioRequired. Finite number.
json
{
  "input": {
    "efficiency": 0.5,
    "forsterRadius": 5
  },
  "output": {
    "distance": 5,
    "radiusRatio": 1
  }
}

Limitations and assumptions

  • The radius and ideal transfer model are supplied; orientation, background, optical cross-talk and actual molecular distance are not established.
  • 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 optical measurements and a complete suitable photophysical model, including background, cross-talk and detector effects, for molecular or kinetic inference.

References

  1. Calculation and input contract: biophysics/fret-distance-efficiency-inverse-term — tool.io

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