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Prior to receiving visual stimuli, spontaneous, correlated activity called retinal waves drives activity-dependent developmental programs. Early-stage waves mediated by acetylcholine (ACh) manifest as slow, spreading bursts of action…

神经元与认知 · 定量生物学 2015-06-19 Benjamin Lansdell , Kevin Ford , J. Nathan Kutz

Based on a biophysical model of retinal Starburst Amacrine Cell (SAC) \cite{karvouniari-gil-etal:19} we analyse here the dynamics of retinal waves, arising during the visual system development. Waves are induced by spontaneous bursting of…

神经元与认知 · 定量生物学 2019-12-10 Dora Matzakos-Karvouniari , Bruno Cessac , L. Gil

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…

神经元与认知 · 定量生物学 2009-11-13 Vladislav Volman , Richard Gerkin , Pak-Ming Lau , Eshel Ben-Jacob , Guo-Qiang Bi

The electrophysiology of betacells is at the origin of insulin secretion. Betacells exhibit a complex behaviour upon stimulation with glucose including repeated and uninterrupted bursting. Mathematical modelling is most suitable to improve…

细胞行为 · 定量生物学 2007-05-23 Michael Meyer-Hermann

We report a detailed analysis on the emergence of bursting in a recently developed neural mass model that takes short-term synaptic plasticity into account. The one being used here is particularly important, as it represents an exact…

动力系统 · 数学 2021-09-15 Halgurd Taher , Daniele Avitabile , Mathieu Desroches

Developing networks of neural systems can exhibit spontaneous, synchronous activities called neural bursts, which can be important in the organization of functional neural circuits. Before the network matures, the activity level of a burst…

神经元与认知 · 定量生物学 2017-05-24 Chih-Hsu Huang , Yu-Ting Huang , Chun-Chung Chen , C. K. Chan

Mounting evidence in recent years suggests that astrocytes, a sub-type of glial cells, not only serve metabolic and structural support for neurons and synapses but also play critical roles in regulation of proper functioning of the nervous…

神经元与认知 · 定量生物学 2022-05-18 Tugba Palabas , Andre Longtin , Dibakar Ghosh , Muhammet Uzuntarla

Spontaneous waves are ubiquitous during early brain development and are hypothesized to drive the development of receptive fields (RFs). Different stages of spontaneous waves in the retina have been observed to coincide with the development…

神经元与认知 · 定量生物学 2025-05-22 Jennifer Crodelle , Wei P. Dai

A mathematical model of a spiking neuron network accompanied by astrocytes is considered. The network is composed of excitatory and inhibitory neurons with synaptic connections supplied by a memristor-based model of plasticity. Another…

Intensive computational and theoretical work has led to the development of mutliple mathematical models for bursting in respiratory neurons in the pre-B\"otzinger Complex (pre-B\"otC) of the mammalian brainstem. Nonetheless, these previous…

神经元与认知 · 定量生物学 2021-05-11 Muhammad U. Abdulla , Ryan S. Phillips , Jonathan E. Rubin

Serotonergic neurons of the dorsal raphe nuclei, with their extensive innervation of nearly the whole brain have important modulatory effects on many cognitive and physiological processes. They play important roles in clinical depression…

神经元与认知 · 定量生物学 2012-12-06 Henry C. Tuckwell

Understanding the role of astrocytes in brain computation is a nascent challenge, promising immense rewards, in terms of new neurobiological knowledge that can be translated into artificial intelligence. In our ongoing effort to identify…

神经元与认知 · 定量生物学 2018-07-10 Ioannis Polykretis , Vladimir Ivanov , Konstantinos P. Michmizos

Many cell types exhibit oscillatory activity, such as repetitive action potential firing due to the Hodgkin-Huxley dynamics of ion channels in the cell membrane or reveal intracellular inositol triphosphate (IP$_3$) mediated calcium…

Synaptic transmission between neurons is governed by a cascade of stochastic reaction-diffusion events that lead to calcium-induced vesicle release of neurotransmitter. Since experimental measurements of such systems are challenging due…

生物物理 · 物理学 2021-10-14 Maria Reva , David A. DiGregorio , Denis S. Grebenkov

The presynaptic free calcium dynamics of neurons due to various stimulation protocols is investigated in a mathematical model. The model includes calcium influx through voltage-dependent calcium channels, calcium buffering by endogenous and…

生物物理 · 物理学 2007-05-23 Frido Erler , Michael Meyer-Hermann , Gerhard Soff

In this paper we present a simple microscopic stochastic model describing short term plasticity within a large homogeneous network of interacting neurons. Each neuron is represented by its membrane potential and by the residual calcium…

概率论 · 数学 2020-01-29 Antonio Galves , Eva Löcherbach , Christophe Pouzat , Errico Presutti

Most of the functions performed by astrocytes in brain information processing are related to calcium waves. Experimental studies involving calcium waves present discrepant results, leading to gaps in the full understanding of the functions…

生物物理 · 物理学 2021-07-09 Thais Appelt Peres Bartiê , Leonel Teixeira Pinto

We describe a simple conductance-based model neuron that includes intra- and extra-cellular ion concentration dynamics and show that this model exhibits periodic bursting. The bursting arises as the fast spiking behavior of the neuron is…

细胞行为 · 定量生物学 2011-09-22 Ernest Barreto , John R. Cressman

We consider here a single-compartment model of these neurons which is capable of describing many of the known features of spike generation, particularly the slow rhythmic pacemaking activity often observed in these cells in a variety of…

神经元与认知 · 定量生物学 2012-12-06 Henry C. Tuckwell , Nicholas J. Penington

Trigger waves are self-regenerating propagating fronts that emerge from the coupling of nonlinear reaction kinetics and diffusion. In cells, trigger waves coordinate large-scale processes such as mitotic entry and stress responses. Although…

分子网络 · 定量生物学 2026-03-12 Jianwei Li , Kai Meng , Xuewen Shen , Fangting Li
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