Action Potential Rise Time

Interpolate fractional-amplitude rise time from a supplied positive spike rising limb and baseline/peak reference; the caller must isolate a single rising event.

Description

Fractional rise time measures how long a voltage trace takes to cross two chosen fractions of its baseline-to-peak amplitude.

Fractional rise time measures how long a voltage trace takes to cross two chosen fractions of its baseline-to-peak amplitude. It depends on the supplied amplitude anchors.

The tool returns lowerCrossingMs (lower crossing ms); upperCrossingMs (upper crossing ms); riseTimeMs (rise time ms). Input measurements and model parameters are supplied by the caller; the tool computes the stated summary rather than acquiring those measurements.

When to use Action Potential Rise Time

Use Action Potential Rise Time when you already have timesMs, voltagesMv, baselineMv, peakMv, lowerFraction, upperFraction and want lowerCrossingMs, upperCrossingMs, riseTimeMs. This is useful for checking a supplied calculation, documenting a measurement convention, or comparing observations prepared on the same basis.

How to use Action Potential Rise Time and understand its results

Enter timesMs, voltagesMv, baselineMv, peakMv, lowerFraction, upperFraction using the field table below. Match the units, ordering and data boundaries described in the calculation.
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.
Read lowerCrossingMs, upperCrossingMs, riseTimeMs. Use the calculation and interpretation below to distinguish amounts, ratios, signs and decision flags where applicable.
Review the supplied parameters and assumptions before using the result in a report or comparing it with another observation.

Input field	Meaning	Value type and bounds	Requirement
timesMs	Times ms	list of number	Required
voltagesMv	Voltages mv	list of number	Required
baselineMv	Baseline mv	number	Required
peakMv	Peak mv	number	Required
lowerFraction	Lower fraction	number	Required
upperFraction	Upper fraction	number	Required

Require ordered fractions in [0,1] and peak above baseline. Interpolate upward crossings sequentially; reject missing or already-exceeded crossings.

threshold(f) = baseline+f×(peak−baseline); riseTime = upperCrossing−lowerCrossing

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

json

{
  "input": {
    "timesMs": [
      0,
      1,
      2,
      3
    ],
    "voltagesMv": [
      -70,
      -60,
      20,
      30
    ],
    "baselineMv": -70,
    "peakMv": 30,
    "lowerFraction": 0.1,
    "upperFraction": 0.9
  },
  "output": {
    "lowerCrossingMs": 1,
    "upperCrossingMs": 2,
    "riseTimeMs": 1
  }
}

Limitations and assumptions

Baseline and peak are not detected from the trace. Noise and sampling affect crossing estimates, and no smoothing 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

Action Potential Amplitude: Measure sampled positive-going action-potential peak relative to an explicit baseline window; sampling and filtering can bias peak amplitude. Saccade Latency: Interpolate the first supplied eye-speed threshold crossing after a cue; blink rejection and direction classification are not inferred.

Methodological background: Digital Library of Mathematical Functions: Quadrature.^[1]

References

Digital Library of Mathematical Functions: Quadrature — National Institute of Standards and Technology

Similar or alternative tools

Action Potential Amplitude
Measure sampled positive-going action-potential peak relative to an explicit baseline window; sampling and filtering can bias peak amplitude.
Saccade Latency
Interpolate the first supplied eye-speed threshold crossing after a cue; blink rejection and direction classification are not inferred.