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Updated: Nov 1, 2025

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Variability and Randomness of the Instantaneous Firing Rate.

Rimjhim Tomar1,2, Lubomir Kostal1

  • 1Department of Computational Neuroscience, Institute of Physiology, Czech Academy of Sciences, Prague, Czechia.

Frontiers in Computational Neuroscience
|June 24, 2021
PubMed
Summary
This summary is machine-generated.

This study reveals that neuronal firing rate randomness is complex. Counter-intuitively, increased spike time randomness can alter instantaneous firing rate randomness unpredictably, depending on the neuronal model used.

Keywords:
entropyfiring rateinstantaneous firing rateneural codingrandomnessrate codingtemporal codingvariability

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Area of Science:

  • Neuroscience
  • Computational Neuroscience
  • Statistical Physics

Background:

  • Neuronal activity exhibits stochasticity, impacting the reliability of neural coding.
  • Inter-spike interval variability and randomness are key metrics for analyzing neural fluctuations.
  • Instantaneous firing rate offers another perspective based on precise spike timing.

Purpose of the Study:

  • To investigate the probability distributions of instantaneous firing rates using statistical models.
  • To characterize firing rate variability and randomness across different neuronal spiking regimes.
  • To explore the relationship between spike timing randomness and instantaneous firing rate randomness.

Main Methods:

  • Utilized classical statistical models of neuronal activity.
  • Analyzed probability distributions of the instantaneous firing rate.
  • Employed various statistical dispersion indices to quantify variability and randomness.
  • Applied developed methods to experimental neural data.

Main Results:

  • The relationship between inter-spike interval variability and instantaneous firing rate is not always direct.
  • Increased spike time randomness (entropy) can paradoxically decrease or increase instantaneous firing rate randomness.
  • The effect of spike time randomness on firing rate randomness is model-dependent.
  • Instantaneous rate analysis provides complementary insights into neuronal spiking activity.

Conclusions:

  • Instantaneous firing rate analysis offers valuable information beyond traditional inter-spike interval metrics.
  • Understanding firing rate randomness requires considering the underlying neuronal firing model.
  • The study provides a framework for quantifying and interpreting neural coding reliability.