Dendritic Time Constant Calculator
OLS log decay fitted dendritic tau from actual independently baseline-subtracted positive responses, single exponential branch. Not passive RC product or spatial cable fit; time stamps need distinct values and actual matched branch.
Description
A single-exponential decay time constant can be estimated from a negative slope in log response versus time.
A single-exponential decay time constant can be estimated from a negative slope in log response versus time.1
This tool fits supplied positive baseline-subtracted dendritic responses without fitting a spatial cable model.
When to use Dendritic Time Constant Calculator
This tool fits supplied positive baseline-subtracted dendritic responses without fitting a spatial cable model.
How to use Dendritic Time Constant Calculator and how it works
- Prepare dendritic decay times seconds, positive baseline subtracted dendritic responses, using the input definitions and matching units below.
- Enter the required fields and run Dendritic Time Constant Calculator.
- Read result.fittedDendriticDecayTimeConstantSeconds using the units, signs and ordering explained below.
- Correct any rejected inputs and rerun; interpret the result within the stated model and its assumptions.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| actualDendriticDecayTimesSeconds | Actual Dendritic Decay Times Seconds. Use the units and matching context stated in the calculation below. | array of number | Required; other constraints below |
| actualPositiveBaselineSubtractedDendriticResponses | Actual Positive Baseline Subtracted Dendritic Responses. Use the units and matching context stated in the calculation below. | array of number | Required; other constraints below |
Require aligned arrays with at least two finite time/response pairs, positive baseline-subtracted responses and positive summed time variance. Fit ordinary least squares to log responses versus seconds without requiring input sorting. Reject a fitted slope of zero or greater, and return -1/slope in seconds. No baseline subtraction, cable fit, goodness-of-fit statistic or exponential-model verification is performed.
slope=sum((t-mean(t))*(ln(response)-mean(ln(response))))/sum((t-mean(t))^2); tauSeconds=-1/slope Apply the input ordering, units and branch conditions stated above.
| Output field | Meaning | Value type |
|---|---|---|
| result | Object containing the calculated or selected fields below. | object |
| result.fittedDendriticDecayTimeConstantSeconds | Negative reciprocal of the fitted log-response slope, in seconds. | number |
{
"input": {
"actualDendriticDecayTimesSeconds": [
0,
1,
2
],
"actualPositiveBaselineSubtractedDendriticResponses": [
1,
0.36787944117144233,
0.1353352832366127
]
},
"output": {
"result": {
"fittedDendriticDecayTimeConstantSeconds": 1
}
}
}Limitations and assumptions
The calculation uses the supplied observations and model inputs. It does not collect measurements, select a reference population or coefficient, or establish that the model applies to the actual case. The stated branch conditions and output units remain part of the result.
All fields require explicit values. Unexpected fields, wrong types, nonfinite numbers and sparse arrays are rejected. Alignment, bounds and supported-token rules are explained above; extremely large inputs or nonfinite results can also fail. Input errors differ from successful false comparisons, unavailable-domain flags and empty match lists.
Alternative or Complementary methods
Use Mini Amplitude Calculator for a complementary operation: A miniature synaptic event amplitude can retain its polarity as peak minus baseline.
Use LTP Magnitude Calculator for a complementary operation: An LTP magnitude convention can express post-response increase relative to a matched baseline.
References
-
Dendritic Time Constant Calculator — tool.io
Similar or alternative tools
- Mini Amplitude Calculator
A miniature synaptic event amplitude can retain its polarity as peak minus baseline.
- LTP Magnitude Calculator
An LTP magnitude convention can express post-response increase relative to a matched baseline.