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Neuronal correlates of Parkinson's disease (PD) include a slowing of the electroencephalogram (EEG) and enhanced synchrony at 3-7 and 7-30 Hz in the basal ganglia, thalamus, and cortex. This study describes the dynamics of a physiologically…

Neurons and Cognition · Quantitative Biology 2018-01-08 Sacha Jennifer van Albada , Richard T. Gray , Peter M. Drysdale , Peter A. Robinson

During early development, waves of activity propagate across the retina and play a key role in the proper wiring of the early visual system. During the stage II these waves are triggered by a transient network of neurons, called Starburst…

Neurons and Cognition · Quantitative Biology 2018-12-19 Dora Matzakou-Karvouniari , Lionel Gil , Elaine Orendorff , Olivier Marre , Serge Picaud , Bruno Cessac

A large scale computational model of the basal ganglia (BG) network is proposed to describes movement disorder including deep brain stimulation (DBS). The model of this complex network considers four areas of the basal ganglia network: the…

Neurons and Cognition · Quantitative Biology 2021-03-15 Konstantinos Spiliotis , Jens Starke , Denise Franz , Angelika Richter , Rüdiger Köhling

Since the earliest electroencephalography experiments, large scale oscillations have been observed in the mammalian brain. More recently, episodes of oscillation and bursting have been identified not only in the cerebral cortex and…

Neurons and Cognition · Quantitative Biology 2025-09-03 Daniel Pouzzner

Serotonergic, noradrenergic and dopaminergic brainstem (including midbrain) neurons, often exhibit spontaneous and fairly regular spiking with frequencies of order a few Hz, though dopaminergic and noradrenergic neurons only exhibit such…

Neurons and Cognition · Quantitative Biology 2017-04-18 Henry C. Tuckwell , Ying Zhou , Nicholas J. Penington

Neurons are spatially extended cells; different parts of a neuron have specific voltage dynamics. Important types of neurons even generate different spikes in different parts of the cell. Neurons' inputs are also often spatially…

Neurons and Cognition · Quantitative Biology 2026-02-06 Audrey O'Brien Teasley , Gabriel Koch Ocker

In many neural networks, patterns controlling rhythmic behaviors are maintained across a wide range of periods. In the crustacean pyloric central pattern generator (CPG), a constant bursting pattern is preserved over a three-to-fivefold…

Neurons and Cognition · Quantitative Biology 2025-07-15 Gabrielle O'Brien , Adam L. Weaver , William H. Barnett , Dmitry A. Kozhanov , Gennady S. Cymbalyuk

In continuous attractor neural networks (CANNs), spatially continuous information such as orientation, head direction, and spatial location is represented by Gaussian-like tuning curves that can be displaced continuously in the space of the…

Neurons and Cognition · Quantitative Biology 2015-09-23 He Wang , Kin Lam , C. C. Alan Fung , K. Y. Michael Wong , Si Wu

In mammals, most cells in the brain and peripheral tissues generate circadian (~24hr) rhythms autonomously. These self-sustained rhythms are coordinated and entrained by a master circadian clock in the suprachiasmatic nucleus (SCN). Within…

Molecular Networks · Quantitative Biology 2014-06-10 Jae Kyoung Kim , Zachary P. Kilpatrick , Matthew R. Bennett , Krešimir Josić

Understanding of short-term synaptic depression (STSD) and other forms of synaptic plasticity is a topical problem in neuroscience. Here we study the role of STSD in the formation of complex patterns of brain rhythms. We use a cortical…

Disordered Systems and Neural Networks · Physics 2015-06-12 K. -E. Lee , A. V. Goltsev , M. A. Lopes , J. F. F. Mendes

Circadian rhythmicity lies at the center of various important physiological and behavioral processes in mammals, such as sleep, metabolism, homeostasis, mood changes and more. It has been shown that this rhythm arises from self-sustained…

Neurons and Cognition · Quantitative Biology 2023-02-08 Yorgos M. Psarellis , Michail Kavousanakis , Michael A. Henson , Ioannis G. Kevrekidis

Despite the fact that the phenomenon of bursting activity is important for functioning of living neural networks, the mechanisms of its origin are still not clear. In this paper, we propose a new phenomenological model that can explain the…

Neurons and Cognition · Quantitative Biology 2023-03-01 Nikita Barabash , Tatiana Levanova , Sergey Stasenko

The stochastic Hodgkin-Huxley neurons considered in this paper replace time-constant deterministic input $a dt$ of the classical deterministic model by increments $\vartheta dt + dX_t$ of a stochastic process: $X$ is Ornstein-Uhlenbeck with…

Probability · Mathematics 2023-06-22 Reinhard Höpfner

The Thalamic Reticular Nuclei (TRN) mediate processes like attentional modulation, sensory gating and sleep spindles. The GABAergic inter neurons in the TRN are know to exhibit widespread synchronized activity patterns. One known…

Neurons and Cognition · Quantitative Biology 2023-11-13 Anca Radulescu , Michael Anderson

Persistent activity is postulated to drive neural network plasticity and learning. To investigate its underlying cellular mechanisms, we developed a biophysically tractable model that explains the emergence, sustenance, and eventual…

Neurons and Cognition · Quantitative Biology 2009-11-13 Vladislav Volman , Richard Gerkin , Pak-Ming Lau , Eshel Ben-Jacob , Guo-Qiang Bi

Cortical neurons are subject to sustained and irregular synaptic activity which causes important fluctuations of the membrane potential (Vm). We review here different methods to characterize this activity and its impact on spike generation.…

Neurons and Cognition · Quantitative Biology 2009-04-29 Zuzanna Piwkowska , Martin Pospischil , Romain Brette , Julia Sliwa , Michelle Rudolph-Lilith , Thierry Bal , Alain Destexhe

Many neurons display bistability - coexistence of two firing modes such as bursting and tonic spiking or tonic spiking and silence. Bistability has been proposed to endow neurons with richer forms of information processing in general and to…

Neurons and Cognition · Quantitative Biology 2012-08-14 A. Dovzhenok , A. S. Kuznetsov

We analyze a biophysical model of a neuron from the entorhinal cortex that includes persistent sodium and slow potassium as non-standard currents using reduction of dimension and dynamical systems techniques to determine the mechanisms for…

Dynamical Systems · Mathematics 2008-04-08 Jozsi Jalics , Martin Krupa , Horacio G. Rotstein

In the mammalian suprachiasmatic nucleus (SCN), a population of noisy cell-autonomous oscillators synchronizes to generate robust circadian rhythms at the organism-level. Within these cells two isoforms of Cryptochrome, Cry1 and Cry2,…

Molecular Networks · Quantitative Biology 2015-02-24 John H. Abel , Lukas A. Widmer , Peter C. St. John , Jörg Stelling , Francis J. Doyle

Understanding how neurons coordinate their activity is a fundamental question in neuroscience, with implications for learning, memory, and neurological disorders. Calcium imaging has emerged as a powerful method to observe large-scale…

Methodology · Statistics 2026-03-03 Laura D'Angelo , Francesco Denti , Antonio Canale , Michele Guindani