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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…

Neurons and Cognition · Quantitative Biology 2013-08-26 Sam Carroll , Kresimir Josic , Zachary P Kilpatrick

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…

Neurons and Cognition · Quantitative Biology 2023-06-30 Heather L Cihak , Zachary P Kilpatrick

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…

Neurons and Cognition · Quantitative Biology 2022-03-07 Heather L Cihak , Tahra L Eissa , Zachary P Kilpatrick

Metastable brain dynamics are characterized by abrupt, jump-like modulations so that the neural activity in single trials appears to unfold as a sequence of discrete, quasi-stationary states. Evidence that cortical neural activity unfolds…

Neurons and Cognition · Quantitative Biology 2019-06-20 Giancarlo La Camera , Alfredo Fontanini , Luca Mazzucato

Continuous attractors have been used to understand recent neuroscience experiments where persistent activity patterns encode internal representations of external attributes like head direction or spatial location. However, the conditions…

Disordered Systems and Neural Networks · Physics 2019-01-01 Weishun Zhong , Zhiyue Lu , David J Schwab , Arvind Murugan

Cortical neurons emit seemingly erratic trains of action potentials or "spikes," and neural network dynamics emerge from the coordinated spiking activity within neural circuits. These rich dynamics manifest themselves in a variety of…

Neurons and Cognition · Quantitative Biology 2022-04-01 Braden A. W. Brinkman , Han Yan , Arianna Maffei , Il Memming Park , Alfredo Fontanini , Jin Wang , Giancarlo La Camera

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 study coarse pattern formation in a cellular automaton modelling a spatially-extended stochastic neural network. The model, originally proposed by Gong and Robinson [36], is known to support stationary and travelling bumps of localised…

Pattern Formation and Solitons · Physics 2016-10-10 Daniele Avitabile , Kyle Wedgwood

Flexible modulation of temporal dynamics in neural sequences underlies many cognitive processes. For instance, we can adaptively change the speed of motor sequences and speech. While such flexibility is influenced by various factors such as…

Neurons and Cognition · Quantitative Biology 2025-04-15 Tomoki Kurikawa , Kunihiko Kaneko

According to mechanistic theories of working memory (WM), information is retained as persistent spiking activity of cortical neural networks. Yet, how this activity is related to changes in the oscillatory profile observed during WM tasks…

Neurons and Cognition · Quantitative Biology 2021-04-20 Nikita Novikov , Denis Zakharov , Victoria Moiseeva , Boris Gutkin

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…

Neurons and Cognition · Quantitative Biology 2017-12-27 Zachary P Kilpatrick , Daniel B Poll

Continuous attractor networks (CANs) are widely used to model how the brain temporarily retains continuous behavioural variables via persistent recurrent activity, such as an animal's position in an environment. However, this memory…

Neural and Evolutionary Computing · Computer Science 2025-07-02 Madison Cotteret , Christopher J. Kymn , Hugh Greatorex , Martin Ziegler , Elisabetta Chicca , Friedrich T. Sommer

We consider spatially localized spiking activity patterns, so-called bumps, in ensembles of bistable spiking oscillators. The bistability consists in the coexistence of self-sustained spiking dynamics and quiescent steady-state regime. We…

Adaptation and Self-Organizing Systems · Physics 2023-08-16 Vladimir V. Semenov , Anna Zakharova

Short-term memory in the brain cannot in general be explained the way long-term memory can -- as a gradual modification of synaptic weights -- since it takes place too quickly. Theories based on some form of cellular bistability, however,…

Neurons and Cognition · Quantitative Biology 2013-01-31 Samuel Johnson , J. Marro , Joaquín J. Torres

Robust information representation and its persistent maintenance are fundamental for higher cognitive functions. Existing models employ distinct neural mechanisms to separately address noise-resistant processing or information maintenance,…

Neurons and Cognition · Quantitative Biology 2025-08-19 Jie Su , Weiwei Wang , Zhaotian Gu , Dahui Wang , Tianyi Qian

Late long-term potentiation (L-LTP) appears essential for the formation of long-term memory, with memories at least partly encoded by patterns of strengthened synapses. How memories are preserved for months or years, despite molecular…

Neurons and Cognition · Quantitative Biology 2015-05-13 Paul Smolen

What is the physiological basis of long-term memory? The prevailing view in neuroscience attributes changes in synaptic efficacy to memory acquisition. This view implies that stable memories correspond to stable connectivity patterns.…

Neurons and Cognition · Quantitative Biology 2019-10-09 Lee Susman , Naama Brenner , Omri Barak

Time-varying linear state-space models are powerful tools for obtaining mathematically interpretable representations of neural signals. For example, switching and decomposed models describe complex systems using latent variables that evolve…

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…

Neurons and Cognition · Quantitative Biology 2015-06-23 Zachary P. Kilpatrick

We introduce a novel model for updating perceptual beliefs about the environment by extending the concept of Allostasis to the control of internal representations. Allostasis is a fundamental regulatory mechanism observed in animal…

Neurons and Cognition · Quantitative Biology 2025-03-21 Aung Htet , Alejandro Rodriguez Jimenez , Sarah Hamburg , Alessandro Di Nuovo
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