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Simple model of spiking neurons
Abstract
A model is presented that reproduces spiking and bursting behavior of known types of cortical neurons. The model combines the biologically plausibility of Hodgkin-Huxley-type dynamics and the computational efficiency of integrate-and-fire neurons. Using this model, one can simulate tens of thousands of spiking cortical neurons in real time (1 ms resolution) using a desktop PC.
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“The neuron state transition influences downstream neural activity. Using classical neural models like Hodgkin-Huxley or integrate-and-fire (Izhikevich, 2003), the firing probability of a neuron i could be described as (see Equation 5):”
From The collapse of the wave function as the mediator of free will in prime neurons (2025) · cites this paper as Izhikevich, 2003
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Metadata
- Authors
- Izhikevich, E. M.
- Affiliations
- Neurosciences Institute (US)
- Corresponding author
- Izhikevich, E.M.
- Venue
- IEEE Transactions on Neural Networks
- Published
- 2003-11
- Volume
- 14
- Issue
- 6
- Pages
- 1569-1572
- ISSN
- 1045-9227 (ISSN-L)
- OpenAlex
- W2164653071
- Cited by
- 4,828
- References
- 10
- Citations by year
- 2026: 263 · 2025: 412 · 2024: 364 · 2023: 393 · 2022: 376 · 2021: 317 · 2020: 280 · 2019: 267 · 2018: 274 · 2017: 250 · 2016: 192 · 2015: 248 · 2014: 211 · 2013: 186 · 2012: 180
- FWCI
- 13.52
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- IEEE Transactions on Neural Networks (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Life Sciences › Neuroscience › Cognitive Neuroscience › Neural dynamics and brain function
- Physical Sciences › Engineering › Electrical and Electronic Engineering › Advanced Memory and Neural Computing
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › stochastic dynamics and bifurcation
- Keywords
- spiking neuron models, cortical neurons, bursting behavior, integrate-and-fire neurons, computational efficiency
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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