Fluorescence Upconversion

Gaussian-deconvolve gate width from a fluorescence-upconversion cross-correlation.

Description

Gaussian width deconvolution subtracts squared gate width from measured cross-correlation width.

Gaussian width deconvolution subtracts squared gate width from measured cross-correlation width. Width conventions must match.1

Gaussian-deconvolve gate width from a fluorescence-upconversion cross-correlation.

When to use Fluorescence Upconversion

Use this tool to gaussian-deconvolve gate width from a fluorescence-upconversion cross-correlation.

Prepare the optical measurements, geometry, fitted coefficients or caller-selected thresholds requested. Confirm wavelength, radius/diameter, pulse-width, angle and unit conventions before running the calculation.

How to use Fluorescence Upconversion and understand its results

  1. Prepare the optical measurements, geometry, fitted coefficients or caller-selected thresholds requested. Confirm wavelength, radius/diameter, pulse-width, angle and unit conventions before running the calculation.
  2. Enter measuredCrossCorrelationFemtoseconds, gatePulseWidthFemtoseconds using the field table and calculation rules, then run the tool.
  3. Read deconvolvedFluorescenceWidthFemtoseconds, resolvable. The explanation below defines the units, signs, ordering and any flags or placeholder values.
  4. If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
Input fieldMeaningValue type; see rules belowRequirement
measuredCrossCorrelationFemtosecondsMeasured upconversion width (fs)number; minimum: 0Required
gatePulseWidthFemtosecondsGate pulse width (fs)number; minimum: 0Required

Enter nonnegative fs widths. Return deconvolved width and resolvable only when the squared difference is strictly positive. Equality or a smaller measured width returns zero with false.

deconvolved=sqrt(max(0,measured²−gate²))

Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.

Output fieldMeaningValue type
deconvolvedFluorescenceWidthFemtosecondsDeconvolved fluorescence width (fs)number; minimum: 0
resolvableMeasured width exceeds gate widthboolean
json
{
  "input": {
    "measuredCrossCorrelationFemtoseconds": 500,
    "gatePulseWidthFemtoseconds": 300
  },
  "output": {
    "deconvolvedFluorescenceWidthFemtoseconds": 400,
    "resolvable": true
  }
}

Limitations and assumptions

No instrument-response fit or physical negative-width recovery is performed. Non-Gaussian shapes require another model.

Numeric inputs must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors. A successfully returned false flag is an evaluated outcome; its meaning is explained above.

Alternative or Complementary methods

Use Transient-Absorption Lifetime Fit: Fit a positive transient-absorption trace to a single exponential using log-linear regression. For a complementary task, use FLIM Mean Lifetime: Calculate a count-weighted mean fluorescence lifetime from a supplied histogram.

References

  1. Fluorescence Upconversion — tool.io

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