Paired Pulse Ratio

Distinguish mean paired-trial second/first ratios from ratio of mean response magnitudes; use consistently baseline-corrected nonnegative amplitudes.

Description

Paired-pulse ratios compare a second response with its matching first response.

Paired-pulse ratios compare a second response with its matching first response. The mean of trial ratios generally differs from the ratio of mean responses.

The tool returns trialRatios (trial ratios); meanTrialRatio (mean trial ratio); ratioOfMeanResponses (ratio of mean responses). Input measurements and model parameters are supplied by the caller; the tool computes the stated summary rather than acquiring those measurements.

When to use Paired Pulse Ratio

Use Paired Pulse Ratio when you already have firstResponses, secondResponses and want trialRatios, meanTrialRatio, ratioOfMeanResponses. This is useful for checking a supplied calculation, documenting a measurement convention, or comparing observations prepared on the same basis.

How to use Paired Pulse Ratio and understand its results

  1. Enter firstResponses, secondResponses using the field table below. Match the units, ordering and data boundaries described in the calculation.
  2. Run the tool after checking the stated bounds and matching paired observations or categories. A malformed request gives a tool error rather than a usable measurement.
  3. Read trialRatios, meanTrialRatio, ratioOfMeanResponses. Use the calculation and interpretation below to distinguish amounts, ratios, signs and decision flags where applicable.
  4. Review the supplied parameters and assumptions before using the result in a report or comparing it with another observation.
Input fieldMeaningValue type and boundsRequirement
firstResponsesFirst responseslist of numberRequired
secondResponsesSecond responseslist of numberRequired

Use positive first responses and nonnegative aligned second responses; return both aggregate conventions explicitly.

trial ratio = second/first; mean ratio = mean(trial ratios); pooled ratio = mean(second)/mean(first)

The symbols refer to the supplied quantities or generated values described above; unit conversions and comparison boundaries follow the stated implementation.

json
{
  "input": {
    "firstResponses": [
      2,
      4
    ],
    "secondResponses": [
      4,
      4
    ]
  },
  "output": {
    "trialRatios": [
      2,
      1
    ],
    "meanTrialRatio": 1.5,
    "ratioOfMeanResponses": 1.3333333333333333
  }
}

Limitations and assumptions

No pulse-interval control, artifact correction or inference about release mechanisms is performed.

Numerical inputs must be finite. The tool checks its declared input shape and calculation constraints; those checks do not verify the quality, calibration or representativeness of the supplied observations.

Alternative or Complementary methods

Steady State Depression: Summarize the last supplied train responses relative to the first response; a sampled tail is not proof that a true steady state was reached, and facilitation yields negative depression. Release Probability: Invert observed failure fraction F=(1−p)^N using supplied identical independent release sites; the boundary estimate p=1 does not imply certainty about underlying p.

Methodological background: Synapses and short-term synaptic dynamics.1

References

  1. Synapses and short-term synaptic dynamics — Gerstner et al.; Neuronal Dynamics

Similar or alternative tools

  • Steady State Depression

    Summarize the last supplied train responses relative to the first response; a sampled tail is not proof that a true steady state was reached, and facilitation yields negative depression.

  • Release Probability

    Invert observed failure fraction F=(1−p)^N using supplied identical independent release sites; the boundary estimate p=1 does not imply certainty about underlying p.

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