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Cortical networks can maintain memories for decades despite the short lifetime of synaptic strength. Can a neural network store long-lasting memories in unstable synapses? Here, we study the effects of random noise on the stability of…

Neurons and Cognition · Quantitative Biology 2012-06-01 Yi Wei , Alexei A. Koulakov

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

A synapse acts on neural transmission through a chemical process called synapses fusion between pre-synaptic and post-synaptic terminals. Presynaptic terminals release neurotransmitters either in response to action potential or…

Neurons and Cognition · Quantitative Biology 2022-10-11 Sat byul Seo , Jianzhong Su

We consider a linear Gaussian noise channel used with delayed feedback. The channel noise is assumed to be a ARMA (autoregressive and/or moving average) process. We reformulate the Gaussian noise channel into an intersymbol interference…

Information Theory · Computer Science 2007-07-13 Shaohua Yang , Aleksandar Kavcic

In the last century, most sensorimotor studies of cortical neurons relied on average firing rates. Rate coding is efficient for fast sensorimotor processing that occurs within a few seconds. Much less is known about the neural mechanisms…

Neurons and Cognition · Quantitative Biology 2026-05-01 Terrence J. Sejnowski

We here study a network of synaptic relations mingling excitatory and inhibitory neuron nodes that displays oscillations quite similar to electroencephalogram (EEG) brain waves, and identify abrupt variations brought about by swift synaptic…

Neurons and Cognition · Quantitative Biology 2021-02-17 Jorge Pretel , Joaquin J. Torres , J. Marro

Time-triggered and event-triggered control strategies for stabilization of an unstable plant over a rate-limited communication channel subject to unknown, bounded delay are studied and compared. Event triggering carries implicit…

Optimization and Control · Mathematics 2017-10-10 Mohammad Javad Khojasteh , Pavankumar Tallapragada , Jorge Cortes , Massimo Franceschetti

The $1/f$-like decay observed in the power spectrum of electro-physiological signals, along with scale-free statistics of the so-called neuronal avalanches, constitute evidences of criticality in neuronal systems. Recent in vitro studies…

Neurons and Cognition · Quantitative Biology 2017-08-31 Fabrizio Lombardi , Hans J. Herrmann , Lucilla de Arcangelis

Neuronal circuits internally regulate electrical signaling via a host of homeostatic mechanisms. Two prominent mechanisms, synaptic scaling and structural plasticity, are believed to maintain average activity within an operating range by…

Neurons and Cognition · Quantitative Biology 2021-04-07 Saeed Aljaberi , Timothy O'Leary , Fulvio Forni

Suppression of excessively synchronous beta-band oscillatory activity in the brain is believed to suppress hypokinetic motor symptoms of Parkinson's disease. Recently, a lot of interest has been devoted to desynchronizing delayed feedback…

Neurons and Cognition · Quantitative Biology 2013-03-05 Andrey Dovzhenok , Choongseok Park , Robert M. Worth , Leonid L. Rubchinsky

Latency reduction of postsynaptic spikes is a well-known effect of Synaptic Time-Dependent Plasticity. We expand this notion for long postsynaptic spike trains, showing that, for a fixed input spike train, STDP reduces the number of…

Neurons and Cognition · Quantitative Biology 2019-07-26 Pau Vilimelis Aceituno , Masud Ehsani , Jürgen Jost

In this paper, we investigate the global exponential stability for complex-valued recurrent neural networks with asynchronous time delays by decomposing complex-valued networks to real and imaginary parts and construct an equivalent…

Dynamical Systems · Mathematics 2015-06-01 Xiwei Liu , Tianping Chen

We address a biophysical network dynamical model to study how the modulation of dopamine (DA) activity and related N-methyl-d-aspartate (NMDA) glutamate receptor activity as well as the emerging Pre-Frontal Cortex (PFC) functional…

Neurons and Cognition · Quantitative Biology 2021-07-21 Konstantinos Spiliotis , Giannis Kahramanoglou , Jens Starke , Nikolaos Smyrnis , Constantinos Siettos

Unlike digital computers, the brain exhibits spontaneous activity even during complete rest, despite the evolutionary pressure for energy efficiency. Inspired by the critical brain hypothesis, which proposes that the brain operates…

Neurons and Cognition · Quantitative Biology 2025-07-15 Narumitsu Ikeda , Dai Akita , Hirokazu Takahashi

Encoder-decoder networks with attention have proven to be a powerful way to solve many sequence-to-sequence tasks. In these networks, attention aligns encoder and decoder states and is often used for visualizing network behavior. However,…

Machine Learning · Computer Science 2021-10-29 Kyle Aitken , Vinay V Ramasesh , Yuan Cao , Niru Maheswaranathan

Noise-delayed decay (NDD) phenomenon emerges when the first-spike latency of a periodically forced stochastic neuron exhibits a maximum for a particular range of noise intensity. Here, we investigate the latency response dynamics of a…

Neurons and Cognition · Quantitative Biology 2015-12-23 M. Uzuntarla , M. Ozer , U. Ileri , A. Calim , J. J. Torres

This paper deals with the problem of inferring the signals and parameters that cause neural activity to occur. The ultimate challenge being to unveil brain's connectivity, here we focus on a microscopic vision of the problem, where single…

Computation · Statistics 2015-11-13 Pau Closas , Antoni Guillamon

Simulation models of facial expressions propose that sensorimotor regions may increase the clarity of facial expressions representations in extrastriate areas. We monitored the event-related potential marker of visual working memory (VWM)…

Neurons and Cognition · Quantitative Biology 2018-08-14 Paola Sessa , Arianna Schiano Lomoriello , Roy Luria

Spiking neural networks (SNNs) process time-series data via internal event-driven neural dynamics. The energy consumption of an SNN depends on the number of spikes exchanged between neurons over the course of the input presentation.…

Neural and Evolutionary Computing · Computer Science 2024-07-02 Jiechen Chen , Sangwoo Park , Osvaldo Simeone

The elapsed time model has been widely studied in the context of mathematical neuroscience with many open questions left. The model consists of an age-structured equation that describes the dynamics of interacting neurons structured by the…

Analysis of PDEs · Mathematics 2021-03-22 Maria Caceres , Benoît Perthame , Delphine Salort , Nicolas Torres