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Statistical properties of superimposed stationary spike trains

Moritz Deger, Moritz Helias, Clemens Boucsein, Stefan Rotter
2011 Journal of Computational Neuroscience  
We conclude that effective refractoriness is the key property that shapes the statistical properties of the superposition spike trains.  ...  Here we construct superimposed spike trains from intracellular in vivo recordings from rat neocortex neurons and compare their statistics to specific point process models.  ...  Here we investigate the statistics of superposition spike trains with stationary rates, both analytically for PPDs and numerically for superimposed spike trains from in vivo recordings.  ... 
doi:10.1007/s10827-011-0362-8 pmid:21964584 pmcid:PMC3343236 fatcat:dvnxgchwsrfizlbnskxbhmypli

Analysis and Interpretation of Interval and Count Variability in Neural Spike Trains [chapter]

Martin Paul Nawrot
2010 Analysis of Parallel Spike Trains  
The relation Eq.(1) transfers to the population activity of superimposed point processes, which allows to deduce the average CV 2 and serial correlation ξ of single neuron spike trains from the so-called  ...  At the level of single neuron spike trains we discern two aspects of variability.  ...  The relation Eq.(1) transfers to the population activity of superimposed point processes, which allows to deduce the average CV 2 and serial correlation ξ of single neuron spike trains from the so-called  ... 
doi:10.1007/978-1-4419-5675-0_3 fatcat:hlt5upg5jbejjmfibcxhjlbxkm

Page 1245 of Mathematical Reviews Vol. , Issue 2003B [page]

2003 Mathematical Reviews  
(1-FLS-S; Tallahassee, FL); Speed, Terence P. (1-CA-S; Berkeley, CA) Parametric deconvolution of positive spike trains. (English summary) Ann. Statist. 28 (2000), no. 5, 1279-1301.  ...  These models arise when a sparse spike train—Dirac deltas according to our mathemati- cal treatment—is convolved with a fixed point-spread function, and additive noise or measurement error is superimposed  ... 

Adaptation reduces variability of the neuronal population code

Farzad Farkhooi, Eilif Muller, Martin P. Nawrot
2011 Physical Review E  
Here, we employ a master equation for general non-renewal processes to calculate the interval and count statistics of superimposed processes governed by a slow adaptation variable.  ...  For an ensemble of spike-frequency adapting neurons this results in the regularization of the population activity and an enhanced post-synaptic signal decoding.  ...  all 5 spike trains.  ... 
doi:10.1103/physreve.83.050905 pmid:21728481 fatcat:3aesw3duijaxxbtk6pn7wirkhq

Analysis of discharges recorded simultaneously from pairs of auditory nerve fibers

D.H. Johnson, N.Y. Kiang
1976 Biophysical Journal  
Spike trains were recorded simultaneously from pairs of auditory nerve fibers in anesthetized cats.  ...  The application of these tests to the recordings indicates that the responses of auditory nerve fibers to a tone and to silence can be described as statistically independent point processes.  ...  Colburn for reading a preliminary version of the manuscript. This research was supported by U.S.  ... 
doi:10.1016/s0006-3495(76)85724-4 pmid:938715 pmcid:PMC1334896 fatcat:57mlgxiyabhtrfa3mbbyxllbne

Do human recordings reveal drastic modulations in the discharge of striatal projection neurons in Parkinson's disease? [article]

Dan Valsky, Zvi Israel, Thomas Boraud, Hagai Bergman, Marc Deffains
2020 medRxiv   pre-print
In contrast to earlier studies in both PD patients and the non-human primate model of PD, we found no drastic changes in the spiking activity (discharge rate and pattern) of the well-isolated and stationary  ...  Moreover, cluster analysis using SPN discharge properties did not characterize two well-separated SPN subpopulations.  ...  Above the spiking activity is the digital display of the detections (spike train) of the sorted unit from the recording. Spike waveforms are superimposed (right panels).  ... 
doi:10.1101/2020.03.04.20030999 fatcat:dhadomwecbbdjbwqcjpdcgfetu

What is the true discharge rate and pattern of the striatal projection neurons in Parkinson's disease and Dystonia?

Dan Valsky, Shai Heiman Grosberg, Zvi Israel, Thomas Boraud, Hagai Bergman, Marc Deffains
2020 eLife  
Contrary to earlier human findings, we found no drastic changes in the spontaneous discharge of the well-isolated and stationary SPNs of the PD patients compared to the dystonic patients or to the normal  ...  Moreover, cluster analysis using SPN discharge properties did not characterize two well-separated SPN subpopulations, indicating no SPN subpopulation-specific (D1 or D2 SPNs) discharge alterations in the  ...  Above the spiking activity is the digital display of the detection (spike train) of the sorted unit from the recording. Spike waveforms are superimposed (right panels).  ... 
doi:10.7554/elife.57445 pmid:32812870 pmcid:PMC7462612 fatcat:zvtmy4p7qneq3ivooll3rn5tru

Retinal ganglion cell synchronization by fixational eye movements improves feature estimation

Martin Greschner, Markus Bongard, Pal Rujan, Josef Ammermüller
2002 Nature Neuroscience  
Reconstructing time-varying stimuli with linear decoders or artificial neural networks saturates as spike trains from 8 to 14 retinal ganglion cells are recruited 1,6 .  ...  Eye and head movements during fixation of a stationary stimulus induce spatiotemporal image changes on the retina.  ...  The dependence of spike probability and latency from contrast border position implies that both movement onset and the spatial properties of a stationary visual scene are signaled to the brain.  ... 
doi:10.1038/nn821 pmid:11914721 fatcat:lhuczkjssvasrc6iv7ocm7ivli

Spike generation estimated from stationary spike trains in a variety of neurons in vivo

Anton Spanne, Pontus Geborek, Fredrik Bengtsson, Henrik Jörntell
2014 Frontiers in Cellular Neuroscience  
Based on th data, we formulated a simple, phenomenological model of the properties of the spike generation in each neuron that accurately captured the stationary spike firing statistics across all membrane  ...  The parameters describing the spike firing statistics for different neuron types overlapped extensively, suggesting that the spike generation had similar properties across neurons.  ...  The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.  ... 
doi:10.3389/fncel.2014.00199 pmid:25120429 pmcid:PMC4111083 fatcat:4qywjnbcengw3duosxsoavfbpa

Impact of Photon Noise on the Reliability of a Motion-Sensitive Neuron in the Fly's Visual System

Jan Grewe, Jutta Kretzberg, Anne-Kathrin Warzecha, Martin Egelhaaf
2003 Journal of Neuroscience  
Because the noise level found to affect the temporal properties of the spike responses is much larger than the estimate of photon noise under the experimental conditions, our results indicate that motion  ...  Noise-like brightness fluctuations of different strength were superimposed on the motion stimuli.  ...  Because reference and test stimuli have the same statistical properties, we expected them to lead to the same spike rate but possibly to different spike patterns.  ... 
doi:10.1523/jneurosci.23-34-10776.2003 pmid:14645469 fatcat:a5la4xhjlneerohhdlqpub7fci

Dependence of Neuronal Correlations on Filter Characteristics and Marginal Spike Train Statistics

Tom Tetzlaff, Stefan Rotter, Eran Stark, Moshe Abeles, Ad Aertsen, Markus Diesmann
2008 Neural Computation  
Most of these signals can be considered as superpositions of spike trains filtered by components of the neural system (synapses, membranes) and the measurement process.  ...  ., spike count, membrane potential, local field potential, EEG, fMRI BOLD).  ...  Acknowledgments We acknowledge partial support by the German Federal Ministry of Education and Research (BMBF grant 01GQ0420 and BMBF-DIP F1.2), the German-Israeli Foundation for Scientific Reseach and  ... 
doi:10.1162/neco.2008.05-07-525 pmid:18439140 fatcat:2aigkxlvnveaxaunxuvzghuwla

Response Properties of an Integrate-and-Fire Model That Receives Subthreshold Inputs

Xuedong Zhang, Laurel H. Carney
2005 Neural Computation  
The effects of the model parameters on the response statistics were studied systematically.  ...  Both of these response properties have been reported for some cells in the ventral cochlear nucleus in the auditory brainstem.  ...  We gratefully acknowledge the comments of Drs. Steve Colburn and Barbara Shinn-Cunningham on a previous version of this manuscript, and the editorial assistance of Susan Early.  ... 
doi:10.1162/089976605774320584 pmid:16212763 pmcid:PMC1380312 fatcat:4pcaiguujra6hck7fluzbwjmly

Spike Train Statistics from Empirical Facts to Theory: The Case of the Retina [chapter]

Bruno Cessac, Adrian G. Palacios
2012 Modeling in Computational Biology and Biomedicine  
Spike trains statistics is assumed to be summarized by an 230 hidden probability µ characterizing the probability of spiking patterns.  ...  In this section we develop the mathematical framework to analyze spike train statistics.  ... 
doi:10.1007/978-3-642-31208-3_8 fatcat:uslvoppfjvdgbpryygjaobm44u

Spike sequences and their consequences

Zoltán Nádasdy
2000 Journal of Physiology - Paris  
The statistical significance of 'sequences' is testable.  ...  We argue by presenting data from rat hippocampus that spike trains recorded simultaneously from multiple pyramidal cells are not independent.  ...  The author was supported by The Lady Davis Postdoctoral Fellowship and the Kranzberg Fund at the Hebrew University of Jerusalem.  ... 
doi:10.1016/s0928-4257(00)01103-7 pmid:11165916 fatcat:3qltafkoxjfydpjoezacxrctvq

Statistical Analysis of Membrane Potential Fluctuations

H. Levitan, J.P. Segundo, G.P. Moore, D.H. Perkel
1968 Biophysical Journal  
From such histograms the mean firing rate of output spike trains can be predicted; additional information of a temporal nature is required, however, to predict features of the interval structure of the  ...  ABsrRAcr In a study of integration at the single neuron level, the relationships between the postsynaptic membrane potential and the presynaptic spike train were analyzed.  ...  Random stimuli from such a source are well-defined statistically (Feller, 1966) and spike trains with these properties have been found to occur naturally in the nervous system (Moore et al., 1966) .  ... 
doi:10.1016/s0006-3495(68)86554-3 pmid:4301347 pmcid:PMC1367693 fatcat:rfpkctamnvacvadx3peokhq7hm
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