Abstract:
:The response of neurons to external stimuli greatly depends on the intrinsic dynamics of the network. Here, the intrinsic dynamics are modeled as coupling and the external input is modeled as shared and unshared noise. We assume the neurons are repetitively firing action potentials (i.e., neural oscillators), are weakly and identically coupled, and the external noise is weak. Shared noise can induce bistability between the synchronous and anti-phase states even though the anti-phase state is the only stable state in the absence of noise. We study the Fokker-Planck equation of the system and perform an asymptotic reduction rho(0). The rho(0) solution is more computationally efficient than both the Monte Carlo simulations and the 2D Fokker-Planck solver, and agrees remarkably well with the full system with weak noise and weak coupling. With moderate noise and coupling, rho(0) is still qualitatively correct despite the small noise and coupling assumption in the asymptotic reduction. Our phase model accurately predicts the behavior of a realistic synaptically coupled Morris-Lecar system.
journal_name
J Comput Neuroscijournal_title
Journal of computational neuroscienceauthors
Ly C,Ermentrout GBdoi
10.1007/s10827-008-0120-8subject
Has Abstractpub_date
2009-06-01 00:00:00pages
425-43issue
3eissn
0929-5313issn
1573-6873journal_volume
26pub_type
杂志文章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
更新日期:2018-12-01 00:00:00
abstract::The primary sensory feature represented within the rodent barrel cortex is the velocity with which a whisker has been deflected. Whisker deflection velocity is encoded within the thalamus via population synchrony (higher deflection velocities entail greater synchrony among the corresponding thalamic population). Thala...
journal_title:Journal of computational neuroscience
pub_type: 杂志文章
doi:10.1007/s10827-014-0535-3
更新日期:2014-12-01 00:00:00
abstract::Most neurons in the primary visual cortex initially respond vigorously when a preferred stimulus is presented, but adapt as stimulation continues. The functional consequences of adaptation are unclear. Typically a reduction of firing rate would reduce single neuron accuracy as less spikes are available for decoding, b...
journal_title:Journal of computational neuroscience
pub_type: 杂志文章
doi:10.1007/s10827-011-0358-4
更新日期:2012-06-01 00:00:00
abstract::We explore the effects of stochastic sodium (Na) channel activation on the variability and dynamics of spiking and bursting in a model neuron. The complete model segregates Hodgin-Huxley-type currents into two compartments, and undergoes applied current-dependent bifurcations between regimes of periodic bursting, chao...
journal_title:Journal of computational neuroscience
pub_type: 杂志文章
doi:10.1023/B:JCNS.0000014104.08299.8b
更新日期:2004-03-01 00:00:00
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
更新日期:2000-07-01 00:00:00
abstract::The classical view of cortical information processing is that of a bottom-up process in a feedforward hierarchy. However, psychophysical, anatomical, and physiological evidence suggests that top-down effects play a crucial role in the processing of input stimuli. Not much is known about the neural mechanisms underlyin...
journal_title:Journal of computational neuroscience
pub_type: 杂志文章
doi:10.1023/a:1008973215925
更新日期:2000-03-01 00:00:00
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
更新日期:2016-06-01 00:00:00
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
更新日期:2014-10-01 00:00:00
abstract::According to a popular hypothesis, short-term memories are stored as persistent neural activity maintained by synaptic feedback loops. This hypothesis has been formulated mathematically in a number of recurrent network models. Here we study an abstraction of these models, a single neuron with a synapse onto itself, or...
journal_title:Journal of computational neuroscience
pub_type: 杂志文章
doi:10.1023/a:1008971908649
更新日期:2000-09-01 00:00:00
abstract::This paper presents a synergistic parametric and non-parametric modeling study of short-term plasticity (STP) in the Schaffer collateral to hippocampal CA1 pyramidal neuron (SC) synapse. Parametric models in the form of sets of differential and algebraic equations have been proposed on the basis of the current underst...
journal_title:Journal of computational neuroscience
pub_type: 杂志文章
doi:10.1007/s10827-008-0098-2
更新日期:2009-02-01 00:00:00
abstract::Many neuronal systems exhibit slow random alternations and sudden switches in activity states. Models with noisy relaxation dynamics (oscillatory, excitable or bistable) account for these temporal, slow wave, patterns and the fluctuations within states. The noise-induced transitions in a relaxation dynamics are analog...
journal_title:Journal of computational neuroscience
pub_type: 杂志文章
doi:10.1007/s10827-009-0178-y
更新日期:2010-02-01 00:00:00
abstract::Prominent models of spike trains assume only one source of variability - stochastic (Poisson) spiking - when stimuli and behavior are fixed. However, spike trains may also reflect variability due to internal processes such as planning. For example, we can plan a movement at one point in time and execute it at some arb...
journal_title:Journal of computational neuroscience
pub_type: 杂志文章
doi:10.1007/s10827-018-0696-6
更新日期:2018-12-01 00:00:00
abstract::Wider dissemination and testing of computational models are crucial to the field of computational neuroscience. Databases are being developed to meet this need. ModelDB is a web-accessible database for convenient entry, retrieval, and running of published models on different platforms. This article provides a guide to...
journal_title:Journal of computational neuroscience
pub_type: 杂志文章
doi:10.1023/B:JCNS.0000023869.22017.2e
更新日期:2004-07-01 00:00:00
abstract::The original version of this article unfortunately has some typographical errors in equations (5), (6), (7), (8), and (12). ...
journal_title:Journal of computational neuroscience
pub_type: 已发布勘误
doi:10.1007/s10827-020-00759-0
更新日期:2020-08-01 00:00:00
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
更新日期:2009-10-01 00:00:00
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
更新日期:2007-02-01 00:00:00
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
更新日期:2013-10-01 00:00:00
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
更新日期:1995-09-01 00:00:00
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
更新日期:2011-11-01 00:00:00
abstract::We consider whole-cell voltage-clamp data of isolated currents characterized by the Hodgkin-Huxley paradigm. We examine the errors associated with the typical parameter estimation method for these data and show them to be unsatisfactorally large especially if the time constants of activation and inactivation are not s...
journal_title:Journal of computational neuroscience
pub_type: 杂志文章
doi:10.1023/a:1008880518515
更新日期:1999-03-01 00:00:00
abstract::The ability to image calcium movement within individual neurons inspires questions of functionality including whether calcium entry into the nucleus is related to genetic regulation for phenomena such as long term potentiation. Calcium waves have been initiated in hippocampal pyramidal cells with glutmatergic signals ...
journal_title:Journal of computational neuroscience
pub_type: 杂志文章
doi:10.1007/s10827-008-0082-x
更新日期:2008-10-01 00:00:00
abstract::Information from the vestibular, sensorimotor, or visual systems can affect the firing of grid cells recorded in entorhinal cortex of rats. Optic flow provides information about the rat's linear and rotational velocity and, thus, could influence the firing pattern of grid cells. To investigate this possible link, we m...
journal_title:Journal of computational neuroscience
pub_type: 杂志文章
doi:10.1007/s10827-012-0396-6
更新日期:2012-12-01 00:00:00
abstract::Mathematical neuronal models are normally expressed using differential equations. The Parker-Sochacki method is a new technique for the numerical integration of differential equations applicable to many neuronal models. Using this method, the solution order can be adapted according to the local conditions at each time...
journal_title:Journal of computational neuroscience
pub_type: 杂志文章
doi:10.1007/s10827-008-0131-5
更新日期:2009-08-01 00:00:00
abstract::Gamma oscillations can synchronize with near zero phase lag over multiple cortical regions and between hemispheres, and between two distal sites in hippocampal slices. How synchronization can take place over long distances in a stable manner is considered an open question. The phase resetting curve (PRC) keeps track o...
journal_title:Journal of computational neuroscience
pub_type: 杂志文章
doi:10.1007/s10827-011-0315-2
更新日期:2011-10-01 00:00:00
abstract::Rhythmic bursting activity, found in many biological systems, serves a variety of important functions. Such activity is composed of episodes, or bursts (the active phase, AP) that are separated by quiescent periods (the silent phase, SP). Here, we use mean field, firing rate models of excitatory neural network activit...
journal_title:Journal of computational neuroscience
pub_type: 杂志文章
doi:10.1007/s10827-006-8862-7
更新日期:2006-12-01 00:00:00
abstract::The paper presents a hierarchical series of computational models for myelinated axonal compartments. Three classes of models are considered, either with distributed parameters (2.5D EQS-ElectroQuasi Static, 1D TL-Transmission Lines) or with lumped parameters (0D). They are systematically analyzed with both analytical ...
journal_title:Journal of computational neuroscience
pub_type: 杂志文章
doi:10.1007/s10827-019-00726-4
更新日期:2019-12-01 00:00:00
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
更新日期:2001-03-01 00:00:00
abstract::Information transfer may not be limited only to synapses. Therefore, the processes and dynamics of biological neuron-astrocyte coupling and intercellular interaction within this domain are worth investigating. Existing models of tripartite synapse consider an astrocyte as a point process. Here, we extended the tripart...
journal_title:Journal of computational neuroscience
pub_type: 杂志文章
doi:10.1007/s10827-019-00734-4
更新日期:2020-02-01 00:00:00
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
更新日期:2003-11-01 00:00:00
abstract::Neuron modeling may be said to have originated with the Hodgkin and Huxley action potential model in 1952 and Rall's models of integrative activity of dendrites in 1964. Over the ensuing decades, these approaches have led to a massive development of increasingly accurate and complex data-based models of neurons and ne...
journal_title:Journal of computational neuroscience
pub_type: 杂志文章,评审
doi:10.1007/s10827-016-0623-7
更新日期:2017-02-01 00:00:00