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In this paper, we investigate the existence, uniqueness, and spectral stability of traveling waves arising from a single threshold neural field model with one spatial dimension, a Heaviside firing rate function, axonal propagation delay,…

Dynamical Systems · Mathematics 2020-10-27 Alan Dyson

Our daily perceptual experience is driven by different neural mechanisms that yield multisensory interaction as the interplay between exogenous stimuli and endogenous expectations. While the interaction of multisensory cues according to…

Neurons and Cognition · Quantitative Biology 2018-07-17 German I. Parisi , Jonathan Tong , Pablo Barros , Brigitte Röder , Stefan Wermter

In this paper a theoretical model of functioning of a neural circuit during a behavioral response has been proposed. A neural circuit can be thought of as a directed multigraph whose each vertex is a neuron and each edge is a synapse. It…

Neurons and Cognition · Quantitative Biology 2007-05-23 Kaushik Majumdar

Neural field models are commonly used to describe wave propagation and bump attractors at a tissue level in the brain. Although motivated by biology, these models are phenomenological in nature. They are built on the assumption that the…

Neurons and Cognition · Quantitative Biology 2019-01-16 Áine Byrne , Daniele Avitabile , Stephen Coombes

An inhomogeneous anisotropic physical model of the brain cortex is presented that predicts the emergence of non--evanescent (weakly damped) wave--like modes propagating in the thin cortex layers transverse to both the mean neural fiber…

Biological Physics · Physics 2020-04-29 Vitaly L. Galinsky , Lawrence R. Frank

Neuromorphic computing is a brainlike information processing paradigm that requires adaptive learning mechanisms. A spiking neuro-evolutionary system is used for this purpose; plastic resistive memories are implemented as synapses in…

Neural and Evolutionary Computing · Computer Science 2015-05-19 Gerard David Howard , Larry Bull , Ben de Lacy Costello , Andrew Adamatzky , Ella Gale

Sensory neuroscience seeks to understand how the brain encodes natural environments. However, neural coding has largely been studied using simplified stimuli. In order to assess whether the brain's coding strategy depend on the stimulus…

Neurons and Cognition · Quantitative Biology 2007-05-23 Tatyana O. Sharpee , Hiroki Sugihara , Andrei V. Kurgansky , Sergei P. Rebrik , Michael P. Stryker , Kenneth D. Miller

We study the effects of coupling between layers of stochastic neural field models with laminar structure. In particular, we focus on how the propagation of waves of neural activity in each layer is affected by the coupling. Synaptic…

Pattern Formation and Solitons · Physics 2015-06-17 Zachary P. Kilpatrick

The correlated variability in the responses of a neural population to the repeated presentation of a sensory stimulus is a universally observed phenomenon. Such correlations have been studied in much detail, both with respect to their…

Neurons and Cognition · Quantitative Biology 2018-07-04 Volker Pernice , Rava Azeredo da Silveira

Most neurons in peripheral sensory pathways initially respond vigorously when a preferred stimulus is presented, but adapt as stimulation continues. It is unclear how this phenomenon affects stimulus representation in the later stages of…

Neurons and Cognition · Quantitative Biology 2012-10-29 Farzad Farkhooi , Anja Froese , Eilif Muller , Randolf Menzel , Martin P. Nawrot

This paper introduces a novel approach for modelling time-varying connectivity in neuroimaging data, focusing on the slow fluctuations in synaptic efficacy that mediate neuronal dynamics. Building on the framework of Dynamic Causal…

Neurons and Cognition · Quantitative Biology 2024-12-05 Johan Medrano , Karl J. Friston , Peter Zeidman

We study the characteristics of weak signal detection by a recurrent neuronal network with plastic synaptic coupling. It is shown that in the presence of an asynchronous component in synaptic transmission, the network acquires selectivity…

Neurons and Cognition · Quantitative Biology 2015-05-13 Vladislav Volman , Herbert Levine

We study the effects of noise on stationary pulse solutions (bumps) in spatially extended neural fields. The dynamics of a neural field is described by an integrodifferential equation whose integral term characterizes synaptic interactions…

Pattern Formation and Solitons · Physics 2012-05-15 Zachary P. Kilpatrick , Bard Ermentrout

It is currently accepted that cortical maps are dynamic constructions that are altered in response to external input. Experience-dependent structural changes in cortical microcurcuts lead to changes of activity, i.e. to changes in…

Neurons and Cognition · Quantitative Biology 2013-02-26 F. Gafarov , N. Khusnutdinov , F. Galimyanov

Encoding models have as their objective to predict neural responses to naturalistic stimuli with the aim of elucidating how sensory information is represented in the brain. This prediction is achieved by representing the stimulus in terms…

Neurons and Cognition · Quantitative Biology 2015-10-19 Umut Güçlü , Marcel A. J. van Gerven

Propagation of oscillatory signals through the cortex and coherence is shaped by the connectivity structure of neuronal circuits. This study systematically investigates the network and stimulus properties that shape network responses. The…

Neurons and Cognition · Quantitative Biology 2017-04-28 Hannah Bos , Jannis Schücker , Moritz Helias

Encoding models are used for predicting brain activity in response to sensory stimuli with the objective of elucidating how sensory information is represented in the brain. Encoding models typically comprise a nonlinear transformation of…

Neurons and Cognition · Quantitative Biology 2017-03-13 Umut Güçlü , Marcel A. J. van Gerven

We present a theoretical study aiming at model fitting for sensory neurons. Conventional neural network training approaches are not applicable to this problem due to lack of continuous data. Although the stimulus can be considered as a…

Neurons and Cognition · Quantitative Biology 2017-09-28 R. Ozgur Doruk , Kechen Zhang

Neurons have the capability of transforming information from a digital signal at the dendrites of the presynaptic termi- nal to an analogous wave at the synaptic cleft and back to a digital pulse when they achieve the required voltage for…

Biological Physics · Physics 2018-10-19 Alexandra Pinto Castellanos

A spiral wave is a macroscopic dynamic of excitable media that plays an important role in several distinct systems, including the Belousov-Zhabotinsky reaction, seizures in the brain, and lethal arrhythmia in the heart. Because spiral wave…

Pattern Formation and Solitons · Physics 2018-02-02 Hiroshi Ashikaga , Ryan G. James