A review of the integrate-and-fire neuron model: II. Inhomogeneous synaptic input and network properties

No abstract is available for this paper.

• Publication year

  2006

• Venue

  Biological cybernetics

• Publication date

  2006-07-05

• Fields of study

  Mathematics, Physics, Computer Science, Medicine

• Identifiers
  DOI 10.1007/s00422-006-0082-8PMID 16821035
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

• Stochastic resonance

  2007cited by this paper
• A Review of the Integrate-and-fire Neuron Model: I. Homogeneous Synaptic Input

  2006influential reference
• Escape rates in periodically driven Markov processes

  2005cited by this paper
• Detection of pulses in a colored noise setting.

  2005cited by this paper
• Effect of periodic stimulus on a neuronal diffusion model with signal-dependent noise.

  2005influential reference
• Stochastic Processes in Physics and Chemistry

  2005cited by this paper
• Learning in realistic networks of spiking neurons and spike‐driven plastic synapses

  2005cited by this paper
• Oscillatory phase transition and pulse propagation in noisy integrate-and-fire neurons.

  2004cited by this paper
• Computation with populations codes in layered networks of integrate-and-fire neurons

  2004cited by this paper
• Computation with populations codes in layered networks of integrate-and-fire neurons

  2004cited by this paper
• Effects of noise in excitable systems

  2004cited by this paper
• Mechanism of stochastic resonance

  2004cited by this paper
• Summation of Spatiotemporal Input Patterns in Leaky Integrate-and-Fire Neurons: Application to Neurons in the Cochlear Nucleus Receiving Converging Auditory Nerve Fiber Input

  2004cited by this paper
• Non-equilibrium statistical mechanics of recurrent networks with realistic neurons

  2004cited by this paper
• A biologically motivated and analytically soluble model of collective oscillations in the cortex

  2004cited by this paper
• Spike-Timing-Dependent Plasticity: The Relationship to Rate-Based Learning for Models with Weight Dynamics Determined by a Stable Fixed Point

  2004cited by this paper
• Finite-size dynamics of inhibitory and excitatory interacting spiking neurons.

  2004cited by this paper
• A Population Density Approach That Facilitates Large-Scale Modeling of Neural Networks: Analysis and an Application to Orientation Tuning

  2004influential reference
• Phase locking in integrate-and-fire models with refractory periods and modulation

  2004cited by this paper
• On the Simulation of Large Populations of Neurons

  2004cited by this paper
• Firing time statistics for driven neuron models: analytic expressions versus numerics.

  2004cited by this paper
• Single-neuron discharge properties and network activity in dissociated cultures of neocortex.

  2004cited by this paper
• An Analytical Model for the ‘Large, Fluctuating Synaptic Conductance State’ Typical of Neocortical Neurons In Vivo

  2004cited by this paper
• Neocortical pyramidal cells respond as integrate-and-fire neurons to in vivo-like input currents.

  2003cited by this paper
• Firing-rate resonance in a generalized integrate-and-fire neuron with subthreshold resonance.

  2003cited by this paper
• Synchrony-dependent propagation of firing rate in iteratively constructed networks in vitro

  2003cited by this paper
• Retrospective and prospective persistent activity induced by Hebbian learning in a recurrent cortical network

  2003cited by this paper
• Training integrate-and-fire neurons with the Informax principle II

  2003cited by this paper
• What determines the frequency of fast network oscillations with irregular neural discharges? I. Synaptic dynamics and excitation-inhibition balance.

  2003cited by this paper
• How synapses in the auditory system wax and wane: theoretical perspectives

  2003cited by this paper
• Modelling the formation of working memory with networks of integrate-and-fire neurons connected by plastic synapses.

  2003cited by this paper
• Spike-Driven Synaptic Dynamics Generating Working Memory States

  2003cited by this paper
• Moments of the First Passage Time Under External Driving

  2003cited by this paper
• On the Transmission of Rate Code in Long Feedforward Networks with Excitatory–Inhibitory Balance

  2003cited by this paper
• Fast Propagation of Firing Rates through Layered Networks of Noisy Neurons

  2002cited by this paper
• Dynamics of the Firing Probability of Noisy Integrate-and-Fire Neurons

  2002influential reference
• Population dynamics of interacting spiking neurons.

  2002cited by this paper
• Stable Propagation of Activity Pulses in Populations of Spiking Neurons

  2002cited by this paper
• Traveling Waves of Excitation in Neural Field Models: Equivalence of Rate Descriptions and Integrate-and-Fire Dynamics

  2002cited by this paper
• Fast Propagation of Firing Rates through Layered Networks of Noisy Neurons

  2002cited by this paper
• Olfactory network dynamics and the coding of multidimensional signals

  2002cited by this paper
• Unified neurophysical model of EEG spectra and evoked potentials

  2002cited by this paper
• Precision and reliability of periodically and quasiperiodically driven integrate-and-fire neurons.

  2002cited by this paper
• Population density methods for large-scale modelling of neuronal networks with realistic synaptic kinetics: cutting the dimension down to size.

  2001cited by this paper
• Transmission of noise coded versus additive signals through a neuronal ensemble.

  2001influential reference
• Synaptic modification by correlated activity: Hebb's postulate revisited.

  2001cited by this paper
• Efficient and Accurate Time-Stepping Schemes for Integrate-and-Fire Neuronal Networks

  2001cited by this paper
• Fokker-Planck approach to the pulse packet propagation in synfire chain

  2001cited by this paper
• Balanced neurons: analysis of leaky integrate-and-fire neurons with reversal potentials

  2001influential reference
• Precision of pulse-coupled networks of integrate-and-fire neurons

  2001cited by this paper
• Chapter 18 Theory of synaptic plasticity

  2001cited by this paper
• Neural timing nets

  2001cited by this paper
• Activity Driven Adaptive Stochastic Resonance

  2001cited by this paper
• Fluctuating synaptic conductances recreate in vivo-like activity in neocortical neurons.

  2001cited by this paper
• Effects of synaptic noise and filtering on the frequency response of spiking neurons.

  2001influential reference
• Shot noise in the leaky integrate-and-fire neuron.

  2001influential reference
• Similar NonLeaky Integrate-and-Fire Neurons with Instantaneous Couplings Always Synchronize

  2001cited by this paper
• The Transient Precision of Integrate and Fire Neurons: Effect of Background Activity and Noise

  2001cited by this paper
• The Transient Precision of Integrate and Fire Neurons: Effect of Background Activity and Noise

  2001cited by this paper
• Dynamics of Sparsely Connected Networks of Excitatory and Inhibitory Spiking Neurons

  2000influential reference
• Effect of spatial extension on noise-enhanced phase locking in a leaky integrate-and-fire model of a neuron.

  2000cited by this paper
• Duality relations for M coupled potts models

  2000cited by this paper
• From Kuramoto to Crawford: exploring the onset of synchronization in populations of coupled oscillators

  2000influential reference
• Stochastic resonance in neuron models: endogenous stimulation revisited.

  2000cited by this paper
• Calculation of Interspike Intervals for Integrate-and-Fire Neurons with Poisson Distribution of Synaptic Inputs

  2000cited by this paper
• Efficient Event-Driven Simulation of Large Networks of Spiking Neurons and Dynamical Synapses

  2000cited by this paper
• Synaptic mechanisms and network dynamics underlying spatial working memory in a cortical network model.

  2000cited by this paper
• Stable Hebbian Learning from Spike Timing-Dependent Plasticity

  2000cited by this paper
• Dynamics of Encoding in Neuron Populations: Some General Mathematical Features

  2000cited by this paper
• Population Dynamics of Spiking Neurons: Fast Transients, Asynchronous States, and Locking

  2000cited by this paper
• Traveling waves and pulses in a one-dimensional network of excitable integrate-and-fire neurons

  2000cited by this paper
• The Approach of a Neuron Population Firing Rate to a New Equilibrium: An Exact Theoretical Result

  2000cited by this paper
• A Dynamical Theory of Spike Train Transitions in Networks of Integrate-and-Fire Oscillators

  2000cited by this paper
• The quality of Coincidence detection and ITD-tuning: a theoretical framework

  1999cited by this paper
• Hebbian learning and spiking neurons

  1999cited by this paper
• Impact of network activity on the integrative properties of neocortical pyramidal neurons in vivo.

  1999cited by this paper
• The stochastic diffusion models of nerve membrane depolarization and interspike interval generation.

  1999cited by this paper
• Synchronization of the Neural Response to Noisy Periodic Synaptic Input

  1999influential reference
• Collective Behavior of Networks with Linear (VLSI) Integrate-and-Fire Neurons

  1999cited by this paper
• Fast Global Oscillations in Networks of Integrate-and-Fire Neurons with Low Firing Rates

  1999influential reference
• Analysis of Integrate-and-Fire Neurons: Synchronization of Synaptic Input and Spike Output

  1999cited by this paper
• Noise spectrum and signal transmission through a population of spiking neurons.

  1999cited by this paper
• Continuous and lurching traveling pulses in neuronal networks with delay and spatially decaying connectivity.

  1999cited by this paper
• Stable propagation of synchronous spiking in cortical neural networks

  1999cited by this paper
• SYNAPTICALLY GENERATED WAVE PROPAGATION IN EXCITABLE NEURAL MEDIA

  1999influential reference
• Stochastic resonance and spike-timing precision in an ensemble of leaky integrate and fire neuron models

  1999influential reference
• Time-scale matching in the response of a leaky integrate-and-fire neuron model to periodic stimulus with additive noise

  1999influential reference
• Extracting Oscillations: Neuronal Coincidence Detection with Noisy Periodic Spike Input

  1998cited by this paper
• Markov analysis of stochastic resonance in a periodically driven integrate-and-fire neuron.

  1998influential reference
• On Numerical Simulations of Integrate-and-Fire Neural Networks

  1998cited by this paper
• Modeling collective excitations in cortical tissue

  1998cited by this paper
• Desynchronization, Mode Locking, and Bursting in Strongly Coupled Integrate-and-Fire Oscillators

  1998cited by this paper
• Coincidence detection in the auditory system: 50 years after Jeffress.

  1998cited by this paper
• input and spike output in neural systems

  1998cited by this paper
• Linearization of F-I Curves by Adaptation

  1998cited by this paper
• Population dynamics and theta rhythm phase precession of hippocampal place cell firing: A spiking neuron model

  1998cited by this paper
• Dynamics of a recurrent network of spiking neurons before and following learning

  1997cited by this paper
• On the relationship between synaptic input and spike output jitter in individual neurons.

  1997cited by this paper
• Model of global spontaneous activity and local structured activity during delay periods in the cerebral cortex.

  1997cited by this paper
• Stochastic resonance in models of neuronal ensembles

  1997cited by this paper

• Gamma oscillations in basal ganglia stem from the interplay between local inhibition and beta synchronization

  2026cites this paper
• Neurocomputing capability evaluation of FHN model-based MSNN architectures with different window functions through the XOR problem

  2026cites this paper
• An organic spiking artificial neuron with excitatory and inhibitory synapses: towards soft and flexible organic neuromorphic processing

  2026cites this paper
• Toward Cognitive Machines: Evaluating Single Device Based Spiking Neural Networks for Brain-Inspired Computing

  2025cites this paper
• A biologically plausible model of astrocyte-neuron networks in random and hub-driven connectivity

  2025cites this paper
• Non-Gaussianity of neurotransmitters co-released from mammalian adrenal chromaffin cells

  2025cites this paper
• Advanced Microdosimetric and Neurofunctionalized Multiphysics on Stem Cells Models Under Microsecond Pulse Stimulation

  2025cites this paper
• Incremental self-organization of spatio-temporal spike pattern detection

  2025cites this paper
• Effect of Levy noise on the network of coupled Chialvo neurons: Impact of topology

  2025influential citation
• Double stochastic resonance in stink bug sexual communication

  2025cites this paper
• Path-following control using spiking neural networks associative maps

  2025cites this paper
• Utilizing the Silent-State in Spiking Neurons: A Modified Rulkov Model

  2025cites this paper
• Energy-Efficient Spike Encoding for Implementing Spiking Neural Networks on FPGA

  2025cites this paper
• Cervical and thoracolumbar transspinal stimulation at 0.3 Hz and 30 Hz facilitates neuronal excitability in healthy humans: a randomized cross-over study

  2025cites this paper
• Data-Driven Closed-Loop Process Fault Diagnosis With Enhanced Fault Dynamics

  2025cites this paper
• Artificial sensory neurons and their applications

  2025cites this paper
• Fluctuation-response relations and response-response relations for membrane voltage and spike train of stochastic integrate-and-fire neurons.

  2025cites this paper
• Linear and nonlinear integrate-and-fire neurons driven by synaptic shot noise with reversal potentials.

  2024cites this paper
• Analysis and Comparison of Event Stream Coding Algorithms for Object Detection Based on Spiking Neural Networks

  2024cites this paper
• Modeling and simulation for prediction of multiple sclerosis progression

  2024cites this paper
• A novel bionic olfactory network combined with an electronic nose for identification of industrial exhaust

  2024cites this paper
• A two-stage strategy for brain-inspired unsupervised learning in spiking neural networks

  2024cites this paper
• An unbiased method to partition diverse neuronal responses into functional ensembles reveals interpretable population dynamics during innate social behavior

  2024cites this paper
• Theta oscillations optimize a speed-precision trade-off in phase coding neurons

  2024cites this paper
• Firing Rate Models as Associative Memory: Excitatory-Inhibitory Balance for Robust Retrieval

  2024cites this paper
• Extraction of parameters of a stochastic integrate-and-fire model with adaptation from voltage recordings

  2024cites this paper
• Fluctuation–response relations for integrate-and-fire models with an absolute refractory period

  2024cites this paper
• Simulation and assimilation of the digital human brain

  2024cites this paper
• Some Fractional Stochastic Models for Neuronal Activity with Different Time-Scales and Correlated Inputs

  2024cites this paper
• On goodness‐of‐fit testing for self‐exciting point processes

  2024cites this paper
• S3TC: Spiking Separated Spatial and Temporal Convolutions with Unsupervised STDP-based Learning for Action Recognition

  2023cites this paper
• Multilevel Monte Carlo for a class of Partially Observed Processes in Neuroscience

  2023cites this paper
• A thalamocortical substrate for integrated information via critical synchronous bursting

  2023cites this paper
• Smooth Exact Gradient Descent Learning in Spiking Neural Networks

  2023cites this paper
• Unsupervised Spiking Neural Network with Dynamic Learning of Inhibitory Neurons

  2023influential citation
• Digit Recognition in Spiking Neural Networks using Wavelet Transform

  2023cites this paper
• Fluctuation-induced transitions in anisotropic two-dimensional turbulence

  2023cites this paper
• Input-output consistency in integrate and fire interconnected neurons

  2023cites this paper
• Artificial Neuronal Devices Based on Emerging Materials: Neuronal Dynamics and Applications

  2023cites this paper
• Analytical solutions for the short-term plasticity

  2023cites this paper
• Model of Neuromorphic Odorant-Recognition Network

  2023cites this paper
• A low-power reconfigurable memristor for artificial neurons and synapses

  2023cites this paper
• A tunable leaky integrate-and-fire neuron based on one neuromorphic transistor and one memristor

  2023cites this paper
• An integrate-and-fire approach to Ca2+ signaling. Part I: Renewal model.

  2023cites this paper
• Choose your tools carefully: a comparative evaluation of deterministic vs. stochastic and binary vs. analog neuron models for implementing emerging computing paradigms

  2023cites this paper
• Reservoir based spiking models for univariate Time Series Classification

  2023cites this paper
• The Interplay of Common Noise and Finite Pulses on Biological Neurons

  2023cites this paper
• Special Session: Neuromorphic hardware design and reliability from traditional CMOS to emerging technologies

  2023cites this paper
• Spiking Two-Stream Methods with Unsupervised STDP-based Learning for Action Recognition

  2023cites this paper
• Synchronization transitions on connectome graphs with external force

  2023cites this paper
• A 28nm 15.09nJ/inference Neuromorphic Processor with SRAM-Based Charge Domain in-Memory-Computing

  2023cites this paper
• Probing Intrinsic Neural Timescales in EEG with an Information-Theory Inspired Approach: Permutation Entropy Time Delay Estimation (PE-TD)

  2023cites this paper
• Microfoundations of Expected Utility and Response Times

  2023cites this paper
• Digital twin brain: a bridge between biological intelligence and artificial intelligence

  2023cites this paper
• Conversion of CNN to SNN for Aerospace Object Detection Tasks

  2022cites this paper
• Leaky Integrate‐and‐Fire Mechanism in Exciton–Polariton Condensates for Photonic Spiking Neurons

  2022cites this paper
• Event-Based Circular Detection for AUV Docking Based on Spiking Neural Network

  2022cites this paper
• Supervised Parameter Estimation of Neuron Populations from Multiple Firing Events

  2022cites this paper
• Dopamine depletion leads to pathological synchronization of distinct basal ganglia loops in the beta band

  2022influential citation
• A simple neuronal model with intrinsic saturation of the firing frequency

  2022cites this paper
• The structural aspects of neural dynamics and information flow.

  2022cites this paper
• Input-output consistency in integrate and fire interconnected neurons

  2022cites this paper
• Low-dimensional models of single neurons: a review

  2022influential citation
• FPGA-Based Implementation of an Event-Driven Spiking Multi-Kernel Convolution Architecture

  2022cites this paper
• The steady state and response to a periodic stimulation of the firing rate for a theta neuron with correlated noise

  2022cites this paper
• Fano factor of output spike trains for a neuron model driven by dichotomous noise

  2022cites this paper
• Think Fast: Time Control in Varying Paradigms of Spiking Neural Networks

  2022cites this paper
• Lotus: a memory organization for loose and tight coupling neurons in neuromorphic architecture

  2022cites this paper
• Identifying Efficient Dataflows for Spiking Neural Networks

  2022cites this paper
• Antiferromagnetic skyrmion-based energy-efficient leaky integrate and fire neuron device

  2022cites this paper
• Topological-numerical analysis of a two-dimensional discrete neuron model.

  2022cites this paper
• Decoupling of interacting neuronal populations by time-shifted stimulation through spike-timing-dependent plasticity

  2022cites this paper
• Linear leaky-integrate-and-fire neuron model based spiking neural networks and its mapping relationship to deep neural networks

  2022cites this paper
• Survey of Computational Modeling of the Functional Parts of the Brain

  2022cites this paper
• Input-output consistency in integrate and fire neuronal networks

  2022cites this paper
• Overview of Memristor-Based Neural Network Design and Applications

  2022cites this paper
• Logarithmically scaled, gamma distributed neuronal spiking

  2022cites this paper
• Global solutions with infinitely many blowups in a mean-field neural network

  2022cites this paper
• Persistence in a large network of sparsely interacting neurons

  2022cites this paper
• Effective Conversion of a Convolutional Neural Network into a Spiking Neural Network for Image Recognition Tasks

  2022cites this paper
• Signal-to-noise ratio gain of an adaptive neuron model with Gamma renewal synaptic input

  2022cites this paper
• Impulse Pattern Formulation (IPF) Brain Model

  2022cites this paper
• Selective control of synaptic plasticity in heterogeneous networks through transcranial alternating current stimulation (tACS)

  2022influential citation
• A spiking neural network with fixed synaptic weights based on logistic maps for a classification task

  2022cites this paper
• SAM: A Unified Self-Adaptive Multicompartmental Spiking Neuron Model for Learning With Working Memory

  2022cites this paper
• Dilating blow-up time: A generalized solution of the NNLIF neuron model and its global well-posedness

  2022cites this paper
• Signal-to-noise ratio gain of an adaptive neuron model with Gamma renewal synaptic input

  2022cites this paper
• Progressive compression and weight reinforcement for spiking neural networks

  2022cites this paper
• Estimation of the firing behaviour of a complete motoneuron pool by combining electromyography signal decomposition and realistic motoneuron modelling

  2022influential citation
• Wearable uBrain: Fabric Based-Spiking Neural Network

  2022cites this paper
• A review of basic software for brain-inspired computing

  2022cites this paper
• The Impact of Multivesicular Release on the Transmission of Sensory Information by Ribbon Synapses

  2022cites this paper
• Complex Oxides for Brain‐Inspired Computing: A Review

  2022cites this paper
• Wearable Fabric μ Brain Enabling On-Garment Edge-Based Sensor Data Processing

  2022cites this paper
• Effects of Noise on Leaky Integrate-and-Fire Neuron Models for Neuromorphic Computing Applications

  2022cites this paper
• Closed-form modeling of neuronal spike train statistics using multivariate Hawkes cumulants.

  2022cites this paper
• Modeling the Dynamics of Spiking Networks with Memristor-Based STDP to Solve Classification Tasks

  2021cites this paper
• Distribution of Interspike Intervals of a Neuron with Inhibitory Autapse Stimulated with a Renewal Process

  2021cites this paper
• Accumulation time of stochastic processes with resetting

  2021cites this paper
• Neural Field Models: A mathematical overview and unifying framework

  2021influential citation