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An integrate-and-fire model to generate spike trains with long-range dependence
2018
Journal of Computational Neuroscience
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Here we show that a purely Markovian integrate-and-fire (IF) model, with a noisy slow adaptation term, can generate interspike intervals (ISIs) that appear as having LRD. ...
The correlations of its spike trains are studied and proven to have LRD, unlike classical IF models. ...
We thank the reviewers for their remarks which helped to improve significantly the quality of this paper. ...
doi:10.1007/s10827-018-0680-1
pmid:29574632
fatcat:bysow4liordjdi2rycu655lhsu
Dynamics of Membrane Excitability Determine Interspike Interval Variability: A Link Between Spike Generation Mechanisms and Cortical Spike Train Statistics
1998
Neural Computation
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This model generates spike trains with coefficient of variation (CV) above 0.6 when brought to firing by noisy inputs. ...
A noisy input current, giving random amplitude "kicks" to the cell, evokes highly irregular firing across a wide range of firing rates; an intrinsically oscillating cell gives regular spike trains. ...
Satish Iyengar and Dr. John Horn for fruitful discussions and Dr. Todd Troyer for valuable comments on earlier versions of this article. Work on this project was supported by NSF and NIMH. ...
doi:10.1162/089976698300017331
pmid:9654767
fatcat:wsed7r7ytffhro2xjqadpcflwe
The power ratio and the interval map: spiking models and extracellular data
[article]
1998
arXiv
pre-print
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Our results also suggest that spike trains of X-type retinal ganglion cells, in particular, are very similar to spike trains generated by a leaky integrate-and-fire model with additive, stimulus-independent ...
Poisson and gamma spike trains); and (2) responses for which firing rate variations alone are not sufficient to characterize response dynamics (for example, leaky integrate-and-fire spike trains as well ...
Acknowledgments The authors wish to thank Mary Conte, Rob de Ruyter van Steveninck, Ehud Kaplan, Ferenc Mechler, Pratik Mukherjee, Tsuyoshi Ozaki, Keith Purpura, Mavi Sanchéz-Vives, Niko Schiff, and Haim ...
arXiv:q-bio/0309032v1
fatcat:24nnwloowfbkdjb2vphhwsk5dy
The Power Ratio and the Interval Map: Spiking Models and Extracellular Recordings
1998
Journal of Neuroscience
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Our results also suggest that spike trains of X-type retinal ganglion cells, in particular, are very similar to spike trains generated by a leaky integrate-andfire model with additive, stimulus-independent ...
Poisson and gamma spike trains); and (2) responses for which firing rate variations alone are not sufficient to characterize response dynamics (for example, leaky integrate-and-fire spike trains as well ...
Certain spike trains generated by non-SMRP models have power ratios in the SMRP range. ...
doi:10.1523/jneurosci.18-23-10090.1998
pmid:9822763
fatcat:wtlu7bwpgbexzkgh2likzfd56u
Time scales of spike-train correlation for neural oscillators with common drive
2010
Physical Review E
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Type II models and across the different timescales over which spike correlations can be assessed. ...
On short timescales this trend reverses, with the relative efficiency switching at a timescale that depends on the mean and standard deviation of input currents. ...
For ␣ = 0, the phase model is exactly equivalent to the theta model and to the superthreshold quadratic integrate and fire model ͓38͔. ...
doi:10.1103/physreve.81.011916
pmid:20365408
fatcat:4zs2b4t6vzdfvbd5krn63zqaem
Neuronal Spike Timing Adaptation Described with a Fractional Leaky Integrate-and-Fire Model
2014
PLoS Computational Biology
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We further analyze spike adaptation and the responses to noisy and oscillatory input. The fractional model generates reliable spike patterns in response to noisy input. ...
Here we developed and analyzed a fractional leaky integrate-and-fire model in which the exponent of the fractional derivative can vary from 0 to 1, with 1 representing the normal derivative. ...
David Stockton for reading and commenting on the manuscript.
Author Contributions Conceived and designed the experiments: FS WT. Analyzed the data: WT. ...
doi:10.1371/journal.pcbi.1003526
pmid:24675903
pmcid:PMC3967934
fatcat:oeplo4exrrcjvlbn3yz4fivaxm
Spike-based learning in VLSI networks of integrate-and-fire neurons
2007
2007 IEEE International Symposium on Circuits and Systems
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network of integrate-and-fire neurons and plastic synapses. ...
As the number of VLSI implementations of spikebased neural networks is steadily increasing, and the development of spike-based multi-chip systems is becoming more popular it is important to design spike-based ...
ACKNOWLEDGMENT The design of the VLSI chip and the experimental measurements were done together with Srinjoy Mitra. ...
doi:10.1109/iscas.2007.378290
dblp:conf/iscas/IndiveriF07
fatcat:4wenzwug7zbtjoaboszz4e6mom
The highly irregular firing of cortical cells is inconsistent with temporal integration of random EPSPs
1993
Journal of Neuroscience
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When V exceeds a certain threshold voltage, the model neuron produces an output spike and immediately resets its voltage to the resting value V = 0 (for references to this "integrate-and-fire" model, see ...
In general, the C,. for this simple model of a refractory period is always less than the C,-of the standard integrate-and-fire model (Eq. ...
doi:10.1523/jneurosci.13-01-00334.1993
pmid:8423479
fatcat:p7i6v5g3ebexxfihqekw2q7iqe
Generalized Integrate-and-Fire Models of Neuronal Activity Approximate Spike Trains of a Detailed Model to a High Degree of Accuracy
2004
Journal of Neurophysiology
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Lewis, and Wulfram Gerstner. Generalized integrate-and-fire models of neuronal activity approximate spike trains of a detailed model to a high degree of accuracy. ...
To quantitatively test the predictive power of the SRM and of the nonlinear integrate-and-fire model, we compare spike trains in the simple models to those in the full conductance-based model when the ...
Lewis, and Wulfram Gerstner. Generalized integrate-and-fire models of neuronal activity approximate spike trains of a detailed model to a high degree of accuracy. ...
doi:10.1152/jn.00190.2004
pmid:15277599
fatcat:6v4gakhedngn5ljllxhp37wi2a
Redundancy Reduction and Sustained Firing with Stochastic Depressing Synapses
2002
Journal of Neuroscience
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The resulting sequences of transmitted spikes are significantly less correlated, and hence less redundant, than the presynaptic spike trains that generate them. ...
We examine how a variety of spike trains, including examples recorded from area V1 of monkeys freely viewing natural scenes, are transmitted through a realistic model synapse with activity-dependent depression ...
Integrate-and-fire neuron. We used a leaky integrate-and-fire model neuron to generate the postsynaptic responses used in Figure 6 . ...
doi:10.1523/jneurosci.22-02-00584.2002
pmid:11784806
fatcat:qbyoisnmmngl5dtqf7jo3bfbaa
Correlated Firing Improves Stimulus Discrimination in a Retinal Model
2004
Neural Computation
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Two very different models, one based on axon-mediated inhibitory feedback, the other on oscillatory common input, were used to generate artificial spike trains whose synchronous oscillations were similar ...
Even for summation times too long to resolve synchronous inputs, gamma band oscillations in the input spike trains still contributed to improved discrimination by reducing the total spike count variability ...
Methods
Artificial Spike Trains Spike trains were generated by one of two computer models, whose parameters were adjusted to qualitatively match the stimulus-dependent, synchronous oscillations recorded ...
doi:10.1162/0899766041941916
pmid:15476601
fatcat:eao6kj5k5nabjhbudlprsu7xc4
Page 2204 of The Journal of Neuroscience Vol. 18, Issue 6
[page]
1998
The Journal of Neuroscience
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Again, for both q(t) and w(t) we used an integration time step of 0.25 msec. ...
This model again produces simulated spike trains from random numbers by the general procedure of Equation 14. ...
An Implementation of a Spike-Response Model With Escape Noise Using an Avalanche Diode
2011
IEEE Transactions on Biomedical Circuits and Systems
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This simple model was then analyzed, and shown to reproduce seven of eight behaviors recorded during an extensive study of the ventral medial hypothalamic (VMH) region of the brain. ...
This paper introduces a novel probabilistic spike-response model through the combination of avalanche diode-generated Poisson distributed noise, and a standard exponential decay-based spike-response curve ...
ACKNOWLEDGMENT The authors would like to thank K. Muir for his help with the test board and general understanding of the SPAD. ...
doi:10.1109/tbcas.2010.2100392
pmid:23851474
fatcat:lclu5tk5kfadhmmjdvgfxrbzmi
Coherent stochastic oscillations enhance signal detection in spiking neurons
2009
Physical Review E
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Analytical calculations revealed a region in the parameter space of the model, where oscillations act to reduce the variability of neuronal firing and to enhance the discriminability of weak signals. ...
The proposed mechanism may be relevant to a wide range of phenomena involving coherently driven oscillators. ...
DC04922 and by the Biomimetic Nanoscience and Nanotechnology program of Ohio University and by Deutsche Forschungsgemeinschaft Grant SFB 555. ...
doi:10.1103/physreve.80.021919
pmid:19792163
pmcid:PMC4942810
fatcat:yyepciccnneurenuqlmctgxqia
A new method of spike modelling and interval analysis
2009
Journal of Neuroscience Methods
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We show that oxytocin cells have spontaneous discharge characteristics that can be well fit by a leaky integrate-and-fire model that incorporates both an HAP and an AHP, but which cannot be fit by models ...
Materials and Methods The oxytocin cell model is a modified "leaky integrate-and-fire model" (Tuckwell, 1988) ; it simulates the firing response to Poisson randomly timed, exponentially decaying, input ...
Acknowledgements This research was supported by grants by the European Union Framework Programme VI Integrated Project (LSH-CT2003-503041), and from the BBSRC. ...
doi:10.1016/j.jneumeth.2008.08.011
pmid:18775452
fatcat:obw4u4mgl5g33imkidwsnmd5lu
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