FLIM Mean Lifetime

Calculate a count-weighted mean fluorescence lifetime from a supplied histogram.

Description

A histogram-weighted fluorescence lifetime averages supplied time coordinates with photon counts as weights.

A histogram-weighted fluorescence lifetime averages supplied time coordinates with photon counts as weights. It is a moment estimate rather than an exponential fit.1

Calculate a count-weighted mean fluorescence lifetime from a supplied histogram.

When to use FLIM Mean Lifetime

Use this tool to calculate a count-weighted mean fluorescence lifetime from a supplied histogram.

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 FLIM Mean Lifetime 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 timeBinsNanoseconds, photonCounts using the field table and calculation rules, then run the tool.
  3. Read meanLifetimeNanoseconds, totalPhotonCount. 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
timeBinsNanosecondsLifetime time bins (ns)list of numberRequired
photonCountsPhoton countslist of numberRequired

Enter nonempty aligned finite time bins and nonnegative counts with positive total. Return mean ns and total count. Fractional counts and signed or unsorted times are accepted.

mean=Σtime_i×count_i/Σcount_i

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

Output fieldMeaningValue type
meanLifetimeNanosecondsCount-weighted mean lifetime (ns)number; minimum: 0
totalPhotonCountTotal photon countnumber; minimum: 0
json
{
  "input": {
    "timeBinsNanoseconds": [
      1,
      2,
      3
    ],
    "photonCounts": [
      0,
      2,
      2
    ]
  },
  "output": {
    "meanLifetimeNanoseconds": 2.5,
    "totalPhotonCount": 4
  }
}

Limitations and assumptions

No background, instrument response, time-zero or bin-width correction is applied.

Numeric inputs must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Lists are limited to 100,000 entries; the rules above may require smaller limits. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.

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

References

  1. FLIM Mean Lifetime — tool.io

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