Improved dimensionally-reduced visual cortical network using stochastic noise modeling.

Abstract:

:In this paper, we extend our framework for constructing low-dimensional dynamical system models of large-scale neuronal networks of mammalian primary visual cortex. Our dimensional reduction procedure consists of performing a suitable linear change of variables and then systematically truncating the new set of equations. The extended framework includes modeling the effect of neglected modes as a stochastic process. By parametrizing and including stochasticity in one of two ways we show that we can improve the systems-level characterization of our dimensionally reduced neuronal network model. We examined orientation selectivity maps calculated from the firing rate distribution of large-scale simulations and stochastic dimensionally reduced models and found that by using stochastic processes to model the neglected modes, we were able to better reproduce the mean and variance of firing rates in the original large-scale simulations while still accurately predicting the orientation preference distribution.

journal_name

J Comput Neurosci

authors

Tao L,Praissman J,Sornborger AT

doi

10.1007/s10827-011-0359-3

subject

Has Abstract

pub_date

2012-04-01 00:00:00

pages

367-76

issue

2

eissn

0929-5313

issn

1573-6873

journal_volume

32

pub_type

杂志文章
  • Spatiotemporal maps of CaMKII in dendritic spines.

    abstract::The calcium calmodulin dependent kinase (CaMKII) is important for long-term potentiation at dendritic spines. Photo-activatable GFP (PaGFP) - CaMKII fusions were used to map CaMKII movements between and within spines in dissociated hippocampal neurons. Photo-activated PaGFP (GFP*) generated in the shaft spread uniform...

    journal_title:Journal of computational neuroscience

    pub_type: 历史文章,杂志文章

    doi:10.1007/s10827-011-0377-1

    authors: Khan S,Reese TS,Rajpoot N,Shabbir A

    更新日期:2012-08-01 00:00:00

  • Analyzing multiple spike trains with nonparametric Granger causality.

    abstract::Simultaneous recordings of spike trains from multiple single neurons are becoming commonplace. Understanding the interaction patterns among these spike trains remains a key research area. A question of interest is the evaluation of information flow between neurons through the analysis of whether one spike train exerts...

    journal_title:Journal of computational neuroscience

    pub_type: 杂志文章

    doi:10.1007/s10827-008-0126-2

    authors: Nedungadi AG,Rangarajan G,Jain N,Ding M

    更新日期:2009-08-01 00:00:00

  • Effect of non-symmetric waveform on conduction block induced by high-frequency (kHz) biphasic stimulation in unmyelinated axon.

    abstract::The effect of a non-symmetric waveform on nerve conduction block induced by high-frequency biphasic stimulation is investigated using a lumped circuit model of the unmyelinated axon based on Hodgkin-Huxley equations. The simulation results reveal that the block threshold monotonically increases with the stimulation fr...

    journal_title:Journal of computational neuroscience

    pub_type: 杂志文章

    doi:10.1007/s10827-014-0510-z

    authors: Zhao S,Yang G,Wang J,Roppolo JR,de Groat WC,Tai C

    更新日期:2014-10-01 00:00:00

  • Phase precession through acceleration of local theta rhythm: a biophysical model for the interaction between place cells and local inhibitory neurons.

    abstract::Phase precession is one of the most well known examples within the temporal coding hypothesis. Here we present a biophysical spiking model for phase precession in hippocampal CA1 which focuses on the interaction between place cells and local inhibitory interneurons. The model's functional block is composed of a place ...

    journal_title:Journal of computational neuroscience

    pub_type: 杂志文章

    doi:10.1007/s10827-011-0378-0

    authors: Castro L,Aguiar P

    更新日期:2012-08-01 00:00:00

  • New class of reduced computationally efficient neuronal models for large-scale simulations of brain dynamics.

    abstract::During slow-wave sleep, brain electrical activity is dominated by the slow (< 1 Hz) electroencephalogram (EEG) oscillations characterized by the periodic transitions between active (or Up) and silent (or Down) states in the membrane voltage of the cortical and thalamic neurons. Sleep slow oscillation is believed to pl...

    journal_title:Journal of computational neuroscience

    pub_type: 杂志文章

    doi:10.1007/s10827-017-0663-7

    authors: Komarov M,Krishnan G,Chauvette S,Rulkov N,Timofeev I,Bazhenov M

    更新日期:2018-02-01 00:00:00

  • Models of calmodulin trapping and CaM kinase II activation in a dendritic spine.

    abstract::Activation of calcium/calmodulin-dependent protein kinase II (CaMKII) by calmodulin following calcium entry into the cell is important for long-term potentiation (LTP). Here a model of calmodulin binding and trapping by CaMKII in a dendritic spine was used to estimate levels and durations of CaMKII activation followin...

    journal_title:Journal of computational neuroscience

    pub_type: 杂志文章

    doi:10.1023/a:1008969032563

    authors: Holmes WR

    更新日期:2000-01-01 00:00:00

  • Lyapunov exponents computation for hybrid neurons.

    abstract::Lyapunov exponents are a basic and powerful tool to characterise the long-term behaviour of dynamical systems. The computation of Lyapunov exponents for continuous time dynamical systems is straightforward whenever they are ruled by vector fields that are sufficiently smooth to admit a variational model. Hybrid neuron...

    journal_title:Journal of computational neuroscience

    pub_type: 杂志文章

    doi:10.1007/s10827-013-0448-6

    authors: Bizzarri F,Brambilla A,Gajani GS

    更新日期:2013-10-01 00:00:00

  • No parallel fiber volleys in the cerebellar cortex: evidence from cross-correlation analysis between Purkinje cells in a computer model and in recordings from anesthetized rats.

    abstract::Purkinje cells aligned on the medio-lateral axis share a large proportion of their approximately 175,000 parallel fiber inputs. This arrangement has led to the hypothesis that movement timing is coded in the cerebellum by beams of synchronously active parallel fibers. In computer simulations I show that such synchrono...

    journal_title:Journal of computational neuroscience

    pub_type: 杂志文章

    doi:10.1023/a:1023217111784

    authors: Jaeger D

    更新日期:2003-05-01 00:00:00

  • A temporal mechanism for generating the phase precession of hippocampal place cells.

    abstract::The phase relationship between the activity of hippocampal place cells and the hippocampal theta rhythm systematically processes as the animal runs through the region in an environment called the place field of the cell. We present a minimal biophysical model of the phase precession of place cells in region CA3 of the...

    journal_title:Journal of computational neuroscience

    pub_type: 杂志文章

    doi:10.1023/a:1008976210366

    authors: Bose A,Booth V,Recce M

    更新日期:2000-07-01 00:00:00

  • Quadratic sinusoidal analysis of voltage clamped neurons.

    abstract::Nonlinear biophysical properties of individual neurons are known to play a major role in the nervous system, especially those active at subthreshold membrane potentials that integrate synaptic inputs during action potential initiation. Previous electrophysiological studies have made use of a piecewise linear character...

    journal_title:Journal of computational neuroscience

    pub_type: 杂志文章

    doi:10.1007/s10827-011-0325-0

    authors: Magnani C,Moore LE

    更新日期:2011-11-01 00:00:00

  • A neuronal network for the logic of Limax learning.

    abstract::We construct a neuronal network to model the logic of associative conditioning as revealed in experimental results using the terrestrial mollusk Limax maximus. We show, in particular, how blocking to a previously conditioned stimulus in the presence of the unconditional stimulus, can emerge as a dynamical property of ...

    journal_title:Journal of computational neuroscience

    pub_type: 杂志文章

    doi:10.1007/s10827-006-8097-7

    authors: Goel P,Gelperin A

    更新日期:2006-12-01 00:00:00

  • Quantitative estimate of the information relayed by the Schaffer collaterals.

    abstract::Within the theory that describes the hippocampus as a device for the on-line storage of complex memories, the crucial autoassociative operations are ascribed mainly to the recurrent CA3 network. The CA3-to-CA1 connections may still be important, both in completing information retrieval and in re-expanding, with minima...

    journal_title:Journal of computational neuroscience

    pub_type: 杂志文章

    doi:10.1007/BF00961437

    authors: Treves A

    更新日期:1995-09-01 00:00:00

  • Effects of mean firing on neural information rate.

    abstract::We investigated the effect of mean firing on the information rate of a spiking motion-sensitive neuron in the fly (H1-cell). In the control condition, the cell was stimulated repeatedly by identical zero-symmetrical white-noise motion. The mean firing rate was manipulated by adding a constant velocity offset either in...

    journal_title:Journal of computational neuroscience

    pub_type: 杂志文章

    doi:10.1023/a:1011225232120

    authors: Borst A,Haag J

    更新日期:2001-03-01 00:00:00

  • Intrinsic bursting enhances the robustness of a neural network model of sequence generation by avian brain area HVC.

    abstract::Avian brain area HVC is known to be important for the production of birdsong. In zebra finches, each RA-projecting neuron in HVC emits a single burst of spikes during a song motif. The population of neurons is activated in a precisely timed, stereotyped sequence. We propose a model of these burst sequences that relies...

    journal_title:Journal of computational neuroscience

    pub_type: 杂志文章

    doi:10.1007/s10827-007-0032-z

    authors: Jin DZ,Ramazanoğlu FM,Seung HS

    更新日期:2007-12-01 00:00:00

  • Virtual Retina: a biological retina model and simulator, with contrast gain control.

    abstract::We propose a new retina simulation software, called Virtual Retina, which transforms a video into spike trains. Our goal is twofold: Allow large scale simulations (up to 100,000 neurons) in reasonable processing times and keep a strong biological plausibility, taking into account implementation constraints. The underl...

    journal_title:Journal of computational neuroscience

    pub_type: 杂志文章

    doi:10.1007/s10827-008-0108-4

    authors: Wohrer A,Kornprobst P

    更新日期:2009-04-01 00:00:00

  • On the dynamics of electrically-coupled neurons with inhibitory synapses.

    abstract::We study the dynamics and bifurcations of noise-free neurons coupled by gap junctions and inhibitory synapses, using both delayed delta functions and alpha functions to model the latter. We focus on the case of two cells, as in the studies of Chow and Kopell (2000) and Lewis and Rinzel (2003), but also show that stabl...

    journal_title:Journal of computational neuroscience

    pub_type: 杂志文章

    doi:10.1007/s10827-006-9676-3

    authors: Gao J,Holmes P

    更新日期:2007-02-01 00:00:00

  • From global to local: exploring the relationship between parameters and behaviors in models of electrical excitability.

    abstract::Models of electrical activity in excitable cells involve nonlinear interactions between many ionic currents. Changing parameters in these models can produce a variety of activity patterns with sometimes unexpected effects. Further more, introducing new currents will have different effects depending on the initial para...

    journal_title:Journal of computational neuroscience

    pub_type: 杂志文章

    doi:10.1007/s10827-016-0600-1

    authors: Fletcher P,Bertram R,Tabak J

    更新日期:2016-06-01 00:00:00

  • Sensitivity of firing rate to input fluctuations depends on time scale separation between fast and slow variables in single neurons.

    abstract::Neuronal responses are often characterized by the firing rate as a function of the stimulus mean, or the f-I curve. We introduce a novel classification of neurons into Types A, B-, and B+ according to how f-I curves are modulated by input fluctuations. In Type A neurons, the f-I curves display little sensitivity to in...

    journal_title:Journal of computational neuroscience

    pub_type: 杂志文章

    doi:10.1007/s10827-009-0142-x

    authors: Lundstrom BN,Famulare M,Sorensen LB,Spain WJ,Fairhall AL

    更新日期:2009-10-01 00:00:00

  • A probabilistic method for determining cortical dynamics during seizures.

    abstract::This work presents a probabilistic method for inferring the parameter ranges in a biologically relevant mathematical model of the cortex most likely to be producing seizures observed in an electrocorticogram (ECoG) signal from a human subject. Additionally, this method produces a probabilistic pathway of the temporal ...

    journal_title:Journal of computational neuroscience

    pub_type: 杂志文章

    doi:10.1007/s10827-015-0554-8

    authors: Dadok VM,Kirsch HE,Sleigh JW,Lopour BA,Szeri AJ

    更新日期:2015-06-01 00:00:00

  • Propagation of photon noise and information transfer in visual motion detection.

    abstract::The extraction of the direction of motion from the time varying retinal images is one of the most basic tasks any visual system is confronted with. However, retinal images are severely corrupted by photon noise, in particular at low light levels, thus limiting the performance of motion detection mechanisms of what sor...

    journal_title:Journal of computational neuroscience

    pub_type: 杂志文章

    doi:10.1007/s10827-005-5906-3

    authors: Shi L,Borst A

    更新日期:2006-04-01 00:00:00

  • A simple model of human foveal ganglion cell responses to hyperacuity stimuli.

    abstract::We developed a physiologically plausible model of the first steps of spatial visual information processing in the fovea of the human retina. With the predictions of this model we could support the hypothesis that, for moderate contracts (< or = 40%), hyperacuity is mediated by the magnocellular (MC-) pathway. Despite ...

    journal_title:Journal of computational neuroscience

    pub_type: 杂志文章

    doi:10.1007/BF00158338

    authors: Wachtler T,Wehrhahn C,Lee BB

    更新日期:1996-03-01 00:00:00

  • Dynamics of recurrent neural networks with delayed unreliable synapses: metastable clustering.

    abstract::The influence of unreliable synapses on the dynamic properties of a neural network is investigated for a homogeneous integrate-and-fire network with delayed inhibitory synapses. Numerical and analytical calculations show that the network relaxes to a state with dynamic clusters of identical size which permanently exch...

    journal_title:Journal of computational neuroscience

    pub_type: 杂志文章

    doi:10.1007/s10827-008-0127-1

    authors: Friedrich J,Kinzel W

    更新日期:2009-08-01 00:00:00

  • Modeling shifts in the rate and pattern of subthalamopallidal network activity during deep brain stimulation.

    abstract::Deep brain stimulation (DBS) of the subthlamic nucleus (STN) represents an effective treatment for medically refractory Parkinson's disease; however, understanding of its effects on basal ganglia network activity remains limited. We constructed a computational model of the subthalamopallidal network, trained it to fit...

    journal_title:Journal of computational neuroscience

    pub_type: 杂志文章

    doi:10.1007/s10827-010-0225-8

    authors: Hahn PJ,McIntyre CC

    更新日期:2010-06-01 00:00:00

  • A mathematical model of the cerebellar-olivary system II: motor adaptation through systematic disruption of climbing fiber equilibrium.

    abstract::The implications for motor learning of the model developed in the previous article are analyzed using idealized Pavlovian eyelid conditioning trials, a simple example of cerebellar motor learning. Results suggest that changes in gr-->Pkj synapses produced by a training trial disrupt equilibrium and lead to subsequent ...

    journal_title:Journal of computational neuroscience

    pub_type: 杂志文章

    doi:10.1023/a:1008830427738

    authors: Kenyon GT,Medina JF,Mauk MD

    更新日期:1998-03-01 00:00:00

  • Evolution and analysis of model CPGs for walking: I. Dynamical modules.

    abstract::Can one develop an abstract description of the dynamics of pattern generators that provides quantitative insight into their operation? We explored this question by examining the dynamics of a model central pattern generator that was created using an evolutionary algorithm. We propose an abstract description based on t...

    journal_title:Journal of computational neuroscience

    pub_type: 杂志文章

    doi:10.1023/a:1008923704408

    authors: Chiel HJ,Beer RD,Gallagher JC

    更新日期:1999-09-01 00:00:00

  • Statistical-mechanical measure of stochastic spiking coherence in a population of inhibitory subthreshold neurons.

    abstract::By varying the noise intensity, we study stochastic spiking coherence (i.e., collective coherence between noise-induced neural spikings) in an inhibitory population of subthreshold neurons (which cannot fire spontaneously without noise). This stochastic spiking coherence may be well visualized in the raster plot of ne...

    journal_title:Journal of computational neuroscience

    pub_type: 杂志文章

    doi:10.1007/s10827-011-0330-3

    authors: Lim W,Kim SY

    更新日期:2011-11-01 00:00:00

  • Neural mass models as a tool to investigate neural dynamics during seizures.

    abstract::Epilepsy is one of the most common neurological disorders and is characterized by recurrent seizures. We use theoretical neuroscience tools to study brain dynamics during seizures. We derive and simulate a computational model of a network of hippocampal neuronal populations. Each population within the network is based...

    journal_title:Journal of computational neuroscience

    pub_type: 杂志文章

    doi:10.1007/s10827-017-0636-x

    authors: Kameneva T,Ying T,Guo B,Freestone DR

    更新日期:2017-04-01 00:00:00

  • Exact analytical results for integrate-and-fire neurons driven by excitatory shot noise.

    abstract::A neuron receives input from other neurons via electrical pulses, so-called spikes. The pulse-like nature of the input is frequently neglected in analytical studies; instead, the input is usually approximated to be Gaussian. Recent experimental studies have shown, however, that an assumption underlying this approximat...

    journal_title:Journal of computational neuroscience

    pub_type: 杂志文章

    doi:10.1007/s10827-017-0649-5

    authors: Droste F,Lindner B

    更新日期:2017-08-01 00:00:00

  • Replicability or reproducibility? On the replication crisis in computational neuroscience and sharing only relevant detail.

    abstract::Replicability and reproducibility of computational models has been somewhat understudied by "the replication movement." In this paper, we draw on methodological studies into the replicability of psychological experiments and on the mechanistic account of explanation to analyze the functions of model replications and m...

    journal_title:Journal of computational neuroscience

    pub_type: 杂志文章

    doi:10.1007/s10827-018-0702-z

    authors: Miłkowski M,Hensel WM,Hohol M

    更新日期:2018-12-01 00:00:00

  • Early cortical orientation selectivity: how fast inhibition decodes the order of spike latencies.

    abstract::Following a flashed stimulus, I show that a simple neurophysiological mechanism in the primary visual system can generate orientation selectivity based on the first incoming spikes. A biological model of the lateral geniculate nucleus generates an asynchronous wave of spikes, with the most strongly activated neurons f...

    journal_title:Journal of computational neuroscience

    pub_type: 杂志文章

    doi:10.1023/a:1027420012134

    authors: Delorme A

    更新日期:2003-11-01 00:00:00