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An integrate-and-fire model to generate spike trains with long-range dependence

Alexandre Richard, Patricio Orio, Etienne Tanré
2018 Journal of Computational Neuroscience  
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

Boris S. Gutkin, G. Bard Ermentrout
1998 Neural Computation  
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]

Daniel S. Reich, Jonathan D. Victor, Bruce W. Knight
1998 arXiv   pre-print
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

Daniel S. Reich, Jonathan D. Victor, Bruce W. Knight
1998 Journal of Neuroscience  
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

Andrea K. Barreiro, Eric Shea-Brown, Evan L. Thilo
2010 Physical Review E  
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

Wondimu Teka, Toma M. Marinov, Fidel Santamaria, Boris S. Gutkin
2014 PLoS Computational Biology  
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

Giacomo Indiveri, Stefano Fusi
2007 2007 IEEE International Symposium on Circuits and Systems  
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

WR Softky, C Koch
1993 Journal of Neuroscience  
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

Renaud Jolivet, Timothy J. Lewis, Wulfram Gerstner
2004 Journal of Neurophysiology  
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

Mark S. Goldman, Pedro Maldonado, L. F. Abbott
2002 Journal of Neuroscience  
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

Garrett T. Kenyon, James Theiler, John S. George, Bryan J. Travis, David W. Marshak
2004 Neural Computation  
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  
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

Thomas Clayton, Katherine Cameron, Bruce R. Rae, Nancy Sabatier, Edoardo Charbon, Robert K. Henderson, Gareth Leng, Alan Murray
2011 IEEE Transactions on Biomedical Circuits and Systems  
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

Tatiana A. Engel, Brian Helbig, David F. Russell, Lutz Schimansky-Geier, Alexander B. Neiman
2009 Physical Review E  
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

D.J. MacGregor, C.K.I. Williams, G. Leng
2009 Journal of Neuroscience Methods  
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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