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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…

斑图形成与孤子 · 物理学 2012-05-15 Zachary P. Kilpatrick , Bard Ermentrout

The distinct timescales of synaptic plasticity and neural activity dynamics play an important role in the brain's learning and memory systems. Activity-dependent plasticity reshapes neural circuit architecture, determining spontaneous and…

神经元与认知 · 定量生物学 2023-06-30 Heather L Cihak , Zachary P Kilpatrick

We analyze the effects of spatiotemporal noise on stationary pulse solutions (bumps) in neural field equations on planar domains. Neural fields are integrodifferential equations whose integral kernel describes the strength and polarity of…

斑图形成与孤子 · 物理学 2015-04-21 Daniel Poll , Zachary P. Kilpatrick

We study the effects of propagation delays on the stochastic dynamics of bumps in neural fields with multiple layers. In the absence of noise, each layer supports a stationary bump. Using linear stability analysis, we show that delayed…

神经元与认知 · 定量生物学 2015-06-23 Zachary P. Kilpatrick

The mammalian spatial navigation system makes use of several different sensory information channels. This information is then converted into a neural code that represents the animal's current position in space by engaging place cell, grid…

神经元与认知 · 定量生物学 2015-07-16 Daniel B Poll , Khanh Nguyen , Zachary P Kilpatrick

Self-sustained, elevated neuronal activity persisting on time scales of ten seconds or longer is thought to be vital for aspects of working memory, including brain representations of real space. Continuous-attractor neural networks, one of…

神经元与认知 · 定量生物学 2020-08-19 Joseph L. Natale , H. George E. Hentschel , Ilya Nemenman

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…

斑图形成与孤子 · 物理学 2015-06-17 Zachary P. Kilpatrick

This paper investigates the conditions for the formation of local bumps in the activity of binary attractor neural networks with spatially dependent connectivity. We show that these formations are observed when asymmetry between the…

无序系统与神经网络 · 物理学 2009-11-11 Kostadin Koroutchev , Elka Korutcheva

Many organisms can remember locations they have previously visited during a search. Visual search experiments have shown exploration is guided away from these locations, reducing the overlap of the search path before finding a hidden…

神经元与认知 · 定量生物学 2017-12-27 Zachary P Kilpatrick , Daniel B Poll

We study the stable phases of an attractor neural network model, with binary units, for hippocampal place cells encoding 1D or 2D spatial maps or environments. Using statistical mechanics tools we show that, below critical values for the…

统计力学 · 物理学 2013-06-26 Rémi Monasson , Sophie Rosay

Models of neural networks have proven their utility in the development of learning algorithms in computer science and in the theoretical study of brain dynamics in computational neuroscience. We propose in this paper a spatial neural…

神经与进化计算 · 计算机科学 2014-05-06 Lucas Antiqueira , Liang Zhao

Localized persistent cortical neural activity is a validated neural substrate of parametric working memory. Such activity `bumps' represent the continuous location of a cue over several seconds. Pyramidal (excitatory) and interneuronal…

神经元与认知 · 定量生物学 2022-03-07 Heather L Cihak , Tahra L Eissa , Zachary P Kilpatrick

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…

神经元与认知 · 定量生物学 2018-07-17 German I. Parisi , Jonathan Tong , Pablo Barros , Brigitte Röder , Stefan Wermter

Understanding how biological constraints shape neural computation is a central goal of computational neuroscience. Spatially embedded recurrent neural networks provide a promising avenue to study how modelled constraints shape the combined…

神经与进化计算 · 计算机科学 2024-09-27 Cornelia Sheeran , Andrew S. Ham , Duncan E. Astle , Jascha Achterberg , Danyal Akarca

Neural systems process information across a broad range of intrinsic timescales, both within and across cortical areas. While such diversity is a hallmark of biological networks, its computational role in nonlinear information processing…

神经元与认知 · 定量生物学 2025-06-10 Tomoki Kurikawa

A neural correlate of parametric working memory is a stimulus specific rise in neuron firing rate that persists long after the stimulus is removed. Network models with local excitation and broad inhibition support persistent neural…

神经元与认知 · 定量生物学 2013-10-15 Zachary P. Kilpatrick , Bard Ermentrout , Brent Doiron

Persistent activity in neuronal populations has been shown to represent the spatial position of remembered stimuli. Networks that support bump attractors are often used to model such persistent activity. Such models usually exhibit…

神经元与认知 · 定量生物学 2013-08-26 Sam Carroll , Kresimir Josic , Zachary P Kilpatrick

Correlated fluctuations in the activity of neural populations reflect the network's dynamics and connectivity. The temporal and spatial dimensions of neural correlations are interdependent. However, prior theoretical work mainly analyzed…

神经元与认知 · 定量生物学 2022-07-19 Yan-Liang Shi , Roxana Zeraati , Anna Levina , Tatiana A. Engel

We study the effects of additive noise on stationary bump solutions to spatially extended neural fields near a saddle-node bifurcation. The integral terms of these evolution equations have a weight kernel describing synaptic interactions…

斑图形成与孤子 · 物理学 2015-08-26 Zachary P. Kilpatrick

Understanding the dynamics of large-scale brain models remains a central challenge due to the inherent complexity of these systems. In this work, we explore the emergence of complex spatiotemporal patterns in a large scale-brain model…

神经元与认知 · 定量生物学 2025-12-04 Rosa Maria Delicado , Gemma Huguet , Pau Clusella
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