A review of the integrate-and-fire neuron model: I. Homogeneous synaptic input
From MaRDI portal
Publication:2373188
DOI10.1007/s00422-006-0068-6zbMath1161.92315OpenAlexW2109596721WikidataQ36452675 ScholiaQ36452675MaRDI QIDQ2373188
Publication date: 17 July 2007
Published in: Biological Cybernetics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00422-006-0068-6
Neural biology (92C20) Signal detection and filtering (aspects of stochastic processes) (60G35) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)
Related Items (only showing first 100 items - show all)
Are the input parameters of white noise driven integrate and fire neurons uniquely determined by rate and CV? ⋮ Estimating Parameters of Generalized Integrate-and-Fire Neurons from the Maximum Likelihood of Spike Trains ⋮ Improved lower bound for the mutual information between signal and neural spike count ⋮ Interacting Hawkes processes with multiplicative inhibition ⋮ How does transient signaling input affect the spike timing of postsynaptic neuron near the threshold regime: an analytical study ⋮ Firing-rate models for neurons with a broad repertoire of spiking behaviors ⋮ Emergence of network structure due to spike-timing-dependent plasticity in recurrent neuronal networks V: self-organization schemes and weight dependence ⋮ A review of the integrate-and-fire neuron model: II. Inhomogeneous synaptic input and network properties ⋮ Theoretical connections between mathematical neuronal models corresponding to different expressions of noise ⋮ Emergence of network structure due to spike-timing-dependent plasticity in recurrent neuronal networks. IV: Structuring synaptic pathways among recurrent connections ⋮ Stein's neuronal model with pooled renewal input ⋮ Reconstruction of the input signal of the leaky integrate-and-fire neuronal model from its interspike intervals ⋮ Modeling neural activity with cumulative damage distributions ⋮ Stochastic Properties of Coincidence-Detector Neural Cells ⋮ The First-passage Time of the Brownian Motion to a Curved Boundary: an Algorithmic Approach ⋮ A leaky integrate-and-fire model with adaptation for the generation of a spike train ⋮ Successive spike times predicted by a stochastic neuronal model with a variable input signal ⋮ Fluctuation scaling in neural spike trains ⋮ A new firing paradigm for integrate and fire stochastic neuronal models ⋮ Optimal Sequential Detection of Stimuli from Multiunit Recordings Taken in Densely Populated Brain Regions ⋮ Noisy threshold in neuronal models: connections with the noisy leaky integrate-and-fire model ⋮ Bimodality of the interspike interval distributions for subordinated diffusion models of integrate-and-fire neurons ⋮ The Morris-Lecar neuron model embeds a leaky integrate-and-fire model ⋮ A variational approach to behavioral and neuroelectrical laws ⋮ On dependency properties of the ISIs generated by a two-compartmental neuronal model ⋮ Some Numerical Methods for Rare Events Simulation and Analysis ⋮ Stochastic Integrate and Fire Models: A Review on Mathematical Methods and Their Applications ⋮ Population density models of integrate-and-fire neurons with jumps: well-posedness ⋮ Synchronization of an excitatory integrate-and-fire neural network ⋮ Data-driven inference for stationary jump-diffusion processes with application to membrane voltage fluctuations in pyramidal neurons ⋮ Stability of stochastic semigroups and applications to Stein's neuronal model ⋮ Information filtering by synchronous spikes in a neural population ⋮ Modulated wave pattern stability in chain neural networks under high-low frequency magnetic radiation ⋮ A simple algorithm to generate firing times for leaky integrate-and-fire neuronal model ⋮ Gauss-diffusion processes for modeling the dynamics of a couple of interacting neurons ⋮ On a spike train probability model with interacting neural units ⋮ Modeling some properties of circadian rhythms ⋮ Closed-form solutions for the first-passage-time problem and neuronal modeling ⋮ Transitions between dynamical behaviors of oscillator networks induced by diversity of nodes and edges ⋮ Probabilistic and Piecewise Deterministic models in Biology ⋮ Dynamics of the exponential integrate-and-fire model with slow currents and adaptation ⋮ Statistical structure of neural spiking under non-Poissonian or other non-white stimulation ⋮ SIGNAL-TO-NOISE RATIO GAIN VIA CORRELATED NOISE IN AN ENSEMBLE OF NOISY NEURONS ⋮ Joint distribution of first exit times of a two dimensional Wiener process with jumps with application to a pair of coupled neurons ⋮ A fast algorithm for the first-passage times of Gauss-Markov processes with Hölder continuous boundaries ⋮ A mathematical model for period-memorizing behavior in \textit{Physarum} plasmodium ⋮ Finite volume and asymptotic methods for stochastic neuron models with correlated inputs ⋮ An integrate-and-fire model for pulsatility in the neuroendocrine system ⋮ Three generic bistable scenarios of the interplay of voltage pulses and gene expression in neurons ⋮ Parameters of the Diffusion Leaky Integrate-and-Fire Neuronal Model for a Slowly Fluctuating Signal ⋮ Some joys and trials of mathematical neuroscience ⋮ Dynamics and spike trains statistics in conductance-based integrate-and-fire neural networks with chemical and electric synapses ⋮ Nonstationary shot noise modeling of neuron membrane potentials by closed-form moments and Gram-Charlier expansions ⋮ Controlling excitable wave behaviors through the tuning of three parameters ⋮ Neuronal identification of acoustic signal periodicity ⋮ Rounding of abrupt phase transitions in brain networks ⋮ First-passage duality ⋮ Common stochastic inputs induce neuronal transient synchronization with partial reset ⋮ Synchronization of stochastic mean field networks of Hodgkin-Huxley neurons with noisy channels ⋮ Responses of leaky integrate-and-fire neurons to a plurality of stimuli in their receptive fields ⋮ Analysis of a stochastic neuronal model with excitatory inputs and state-dependent effects ⋮ Mean, Variance, and Autocorrelation of Subthreshold Potential Fluctuations Driven by Filtered Conductance Shot Noise ⋮ Unnamed Item ⋮ Mechanisms That Modulate the Transfer of Spiking Correlations ⋮ Integrate and fire model with refractory period for synchronization of two cardiomyocytes ⋮ Typical trajectories of coupled degrade-and-fire oscillators: from dispersed populations to massive clustering ⋮ On the dynamics of random neuronal networks ⋮ Simulating leaky integrate-and-fire neuron with integers ⋮ Cross-correlations and joint gaussianity in multivariate level crossing models ⋮ Editorial for the special issue on uncertainty in the brain ⋮ Weak convergence of marked point processes generated by crossings of multivariate jump processes. applications to neural network modeling ⋮ High order WENO finite volume approximation for population density neuron model ⋮ Lapicque's 1907 paper: from frogs to integrate-and-fire ⋮ Exact folded-band chaotic oscillator ⋮ On a Stochastic Leaky Integrate-and-Fire Neuronal Model ⋮ Key role of voltage-dependent properties of synaptic currents in robust network synchronization ⋮ Simplicity and Efficiency of Integrate-and-Fire Neuron Models ⋮ Spike Train Statistics and Dynamics with Synaptic Input from any Renewal Process: A Population Density Approach ⋮ A review of the methods for signal estimation in stochastic diffusion leaky integrate-and-fire neuronal models ⋮ Spike-train spectra and network response functions for nonlinear integrate-and-fire neurons ⋮ Extracting nonlinear integrate-and-fire models from experimental data using dynamic \(I-V\) curves ⋮ The response of cortical neurons to in vivo-like input current: Theory and experiment ⋮ A Generalized Linear Integrate-and-Fire Neural Model Produces Diverse Spiking Behaviors ⋮ Fractionally integrated Gauss-Markov processes and applications ⋮ Interactions of multiple rhythms in a biophysical network of neurons ⋮ Colored noise and a stochastic fractional model for correlated inputs and adaptation in neuronal firing ⋮ Activity of excitatory neuron with delayed feedback stimulated with Poisson stream is non-Markov ⋮ On numerical approximations of fractional-order spiking neuron models ⋮ Exact simulation of the first-passage time of diffusions ⋮ Unnamed Item ⋮ Exact Event-Driven Implementation for Recurrent Networks of Stochastic Perfect Integrate-and-Fire Neurons ⋮ Exact simulation of the first passage time through a given level of jump diffusions ⋮ Stochastic stability of a system of perfect integrate-and-fire inhibitory neurons ⋮ Learning a Sparse Code for Temporal Sequences Using STDP and Sequence Compression ⋮ A theoretical connection between the Noisy Leaky integrate-and-fire and the escape rate models: The non-autonomous case ⋮ Integrate-and-fire neurons driven by asymmetric dichotomous noise ⋮ Input-output consistency in integrate and fire interconnected neurons ⋮ Persistence in a large network of sparsely interacting neurons ⋮ Data-Driven Reconstruction and Encoding of Sparse Stimuli across Convergent Sensory Layers from Downstream Neuronal Network Dynamics ⋮ High-order upwind finite volume element schemes for modelling of neuronal firing
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The Ornstein-Uhlenbeck process as a model for neuronal activity. I. Mean and variance of the firing time
- Inference for the diffusion models of neuronal activity
- Statistical inference on spontaneous neuronal discharge patterns
- Diffusion approximation of the neuronal model with synaptic reversal potentials
- Maximum likelihood analysis of spike trains of interacting nerve cells
- The effect of a random initial value in neural first-passage-time models
- Diffusion approximation for a multi-input model neuron
- The spatial properties of a model neuron increase its coding range
- Dynamics of sparsely connected networks of excitatory and inhibitory spiking neurons.
- Two-compartment stochastic model of a neuron
- The Fokker-Planck equation. Methods of solutions and applications.
- An analysis of Stein's model for stochastic neuronal excitation
- Study of neuronal gain in a conductance-based leaky integrate-and-fire neuron model with balanced excitatory and inhibitory synaptic input
- How synapses in the auditory system wax and wane: theoretical perspectives
- Balanced neurons: analysis of leaky integrate-and-fire neurons with reversal potentials
- Ornstein-Uhlenbeck model neuron revisited
- On the parameter estimation for diffusion models of single neuron's activities. I: Application to spontaneous activities of mesencephalic reticular formation cells in sleep and waking states
- On the comparison of Feller and Ornstein-Uhlenbeck models for neural activity
- A review of the integrate-and-fire neuron model: II. Inhomogeneous synaptic input and network properties
- Pooled spike trains of correlated presynaptic inputs as realizations of cluster point processes
- Solutions for a stochastic model of neuronal spike
- Response to Nagle's criticism of my proposed definition of the entropy
- Correlation Between Uncoupled Conductance-Based Integrate-and-Fire Neurons Due to Common and Synchronous Presynaptic Firing
- Dynamics of the Firing Probability of Noisy Integrate-and-Fire Neurons
- Integrate-and-Fire Neurons Driven by Correlated Stochastic Input
- Minimal Models of Adapted Neuronal Response to In Vivo–Like Input Currents
- Including Long-Range Dependence in Integrate-and-Fire Models of the High Interspike-Interval Variability of Cortical Neurons
- First-passage time of Markov processes to moving barriers
- Parabolic Bursting in an Excitable System Coupled with a Slow Oscillation
- Introduction to Theoretical Neurobiology
- Wald's identity and random walk models for neuron firing
- Network Amplification of Local Fluctuations Causes High Spike Rate Variability, Fractal Firing Patterns and Oscillatory Local Field Potentials
- Higher-Order Statistics of Input Ensembles and the Response of Simple Model Neurons
- Interspike Interval Correlations, Memory, Adaptation, and Refractoriness in a Leaky Integrate-and-Fire Model with Threshold Fatigue
- Firing Rate of the Noisy Quadratic Integrate-and-Fire Neuron
- Maximum Likelihood Estimation of a Stochastic Integrate-and-Fire Neural Encoding Model
- Spiking Neuron Models
- A Universal Model for Spike-Frequency Adaptation
- Analytic Expressions for Rate and CV of a Type I Neuron Driven by White Gaussian Noise
- Subtractive and Divisive Inhibition: Effect of Voltage-Dependent Inhibitory Conductances and Noise
- Dynamics of Deterministic and Stochastic Paired Excitatory—Inhibitory Delayed Feedback
- Quantitative study of attractor neural network retrieving at low spike rates: I. substrate—spikes, rates and neuronal gain
- Comment on “Characterization of Subthreshold Voltage Fluctuations in Neuronal Membranes,” by M. Rudolph and A. Destexhe
- Analysis of the exponential decay model of the neuron showing frequency threshold effects
- Diffusion approximation and first passage time problem for a model neuron
- Synaptic Shot Noise and Conductance Fluctuations Affect the Membrane Voltage with Equal Significance
- On the First Passage Time Probability Problem
- ON THE SUPERPOSITION OF RENEWAL PROCESSES
- Inference for stochastic neuronal models
This page was built for publication: A review of the integrate-and-fire neuron model: I. Homogeneous synaptic input