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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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Self-citationGlobal and partial synchronism in phase-locked loop networks
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Csercsik, D., Hangos, K. M., & Szederkényi, G. (2011) · Neurocomputing · doi:10.1016/j.neucom.2011.09.006 · Cited by 35
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.
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