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We demonstrate that two key theoretical objects used widely in Computational Neuroscience, the phase-resetting curve (PRC) from dynamics and the spike triggered average (STA) from statistical analysis, are closely related under a wide range…

Neurons and Cognition · Quantitative Biology 2007-09-26 G. Bard Ermentrout , Roberto F. Galán Nathaniel N. Urban

We numerically investigate the influence of intrinsic channel noise on the dynamical response of delay-coupling in neuronal systems. The stochastic dynamics of the spiking is modeled within a stochastic modification of the standard…

Biological Physics · Physics 2013-09-23 Xue Ao , Peter Hanggi , Gerhard Schmid

This paper studies a stochastic neural field model that is extended from our previous paper [14]. The neural field model consists of many heterogeneous local populations of neurons. Rigorous results on the stochastic stability are proved,…

Probability · Mathematics 2018-07-06 Yao Li , Hui Xu

The cerebellum is implicated in nearly every domain of human cognition, yet our understanding of how this subcortical structure contributes to cognition remains elusive. Efforts on this front have tended to fall into one of two camps. On…

Neurons and Cognition · Quantitative Biology 2025-09-15 Jonathan Tsay , Richard Ivry

The sequential analysis of information in a coarse-to-fine manner is a fundamental mode of processing in the visual pathway. Spatial frequency (SF) tuning, arguably the most fundamental feature of spatial vision, provides particular…

Neurons and Cognition · Quantitative Biology 2020-06-17 Jasmine A. Nirody

Synchronization is an ubiquitous phenomenon in dynamical systems of networked oscillators. While it is often a goal to achieve, in some context one would like to decrease it, e.g., although synchronization is essential to the good…

Dynamical Systems · Mathematics 2025-04-07 Martin Moriamé , Timoteo Carletti

Neurons in the brain communicate information via punctual events called spikes. The timing of spikes is thought to carry rich information, but it is not clear how to leverage this in digital systems. We demonstrate that event-based encoding…

Sound · Computer Science 2024-02-05 Martim Lisboa , Guillaume Bellec

Background: In neurophysiological data, latency refers to a global shift of spikes from one spike train to the next, either caused by response onset fluctuations or by finite propagation speed. Such systematic shifts in spike timing lead to…

Synchronization is a widespread phenomenon observed across natural and artificial networked systems. It often manifests itself by clusters of units exhibiting coincident dynamics. These clusters are a direct consequence of the organization…

The dynamics of three mutually coupled cortical neurons with time delays in the coupling are explored numerically and analytically. The neurons are coupled in a line, with the middle neuron sending a somewhat stronger projection to the…

Chaotic Dynamics · Physics 2011-01-25 Alexandra S. Landsman , Ira B. Schwartz

The preB\"otzinger Complex, the mammalian inspiratory rhythm generator, encodes inspiratory time as motor pattern. Spike synchronization throughout this sparsely connected network generates inspiratory bursts albeit with variable latencies…

Neurons and Cognition · Quantitative Biology 2020-12-24 Valentin M. Slepukhin , Sufyan Ashhad , Jack L. Feldman , Alex J. Levine

This work is associated with the use of parallel feedforward compensators (PFCs) for the problem of output synchronization over heterogeneous agents and the benefits this approach can provide. Specifically, it addresses the addition of…

Systems and Control · Electrical Eng. & Systems 2022-05-02 Mengmou Li , Ioannis Lestas , Li Qiu

A vast majority of computation in the brain is performed by spiking neural networks. Despite the ubiquity of such spiking, we currently lack an understanding of how biological spiking neural circuits learn and compute in-vivo, as well as…

Neurons and Cognition · Quantitative Biology 2018-05-31 Friedemann Zenke , Surya Ganguli

Understanding cognitive processes in the brain demands sophisticated models capable of replicating neural dynamics at large scales. We present a physiologically inspired speech recognition architecture, compatible and scalable with deep…

Computation and Language · Computer Science 2024-09-26 Alexandre Bittar , Philip N. Garner

The phase-resetting curve (PRC) describes the response of a neural oscillator to small perturbations in membrane potential. Its usefulness for predicting the dynamics of weakly coupled deterministic networks has been well characterized.…

Dynamical Systems · Mathematics 2015-05-13 Aushra Abouzeid , Bard Ermentrout

Brain-inspired computing architectures attempt to mimic the computations performed in the neurons and the synapses in the human brain in order to achieve its efficiency in learning and cognitive tasks. In this work, we demonstrate the…

Emerging Technologies · Computer Science 2017-12-20 Abhronil Sengupta , Priyadarshini Panda , Parami Wijesinghe , Yusung Kim , Kaushik Roy

The effect of intrinsic channel noise is investigated for the dynamic response of a neuronal cell with a delayed feedback loop. The loop is based on the so-called autapse phenomenon in which dendrites establish not only connections to…

Biological Physics · Physics 2014-12-22 Yunyun Li , Gerhard Schmid , Peter Hanggi , Lutz Schimansky-Geier

Neural circuits are able to perform computations under very diverse conditions and requirements. The required computations impose clear constraints on their fine-tuning: a rapid and maximally informative response to stimuli in general…

Neurons and Cognition · Quantitative Biology 2019-10-22 Jens Wilting , Jonas Dehning , Joao Pinheiro Neto , Lucas Rudelt , Michael Wibral , Johannes Zierenberg , Viola Priesemann

Cortical neurons include many sub-cellular processes, operating at multiple timescales, which may affect their response to stimulation through non-linear and stochastic interaction with ion channels and ionic concentrations. Since new…

Neurons and Cognition · Quantitative Biology 2014-05-01 Daniel Soudry , Ron Meir

Varied sensory systems use noise in order to enhance detection of weak signals. It has been conjectured in the literature that this effect, known as stochastic resonance, may take place in central cognitive processes such as the memory…

Neurons and Cognition · Quantitative Biology 2007-05-23 Julien Mayor , Wulfram Gerstner