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As numerical simulations grow in complexity, their demands on computing time and energy increase. Accelerators for numerical computation offer significant efficiency gains in many computationally-intensive scientific fields, but their use…

The influx of calcium ions into the dendritic spines through the N-metyl-D-aspartate (NMDA) channels is believed to be the primary trigger for various forms of synaptic plasticity. In this paper, the authors calculate analytically the mean…

生物物理 · 物理学 2009-11-10 Luk C. Yeung , Gastone C. Castellani , Harel Z. Shouval

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

Experimental observations on synaptic plasticity at individual glutamatergic synapses from the CA3 Shaffer collateral pathway onto CA1 pyramidal cells in the hippocampus suggest that the transitions in synaptic strength occur among discrete…

定量方法 · 定量生物学 2013-04-26 H. D. Abarbanel , S. S. Talathi , L. Gibb , M. Rabinovich

Calcium (Ca2+) signalling is one of the most important mechanisms of information propagation in the body. In embryogenesis the interplay between Ca2+ signalling and mechanical forces is critical to the healthy development of an embryo but…

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

We present a new model for the dynamics of the presynaptic intracellular calcium concentration in neurons evoked by various stimulation protocols. The aim of the model is twofold: We want to discuss the calcium transients during and after…

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

Synaptic plasticity, the dynamic tuning of signal transmission strength between neurons, serves as a fundamental basis for memory and learning in biological organisms. This adaptive nature of synapses is considered one of the key features…

介观与纳米尺度物理 · 物理学 2024-11-11 Yechan Noh , Alex Smolyanitsky

In this paper we present a biologically detailed mathematical model of tripartite synapses, where astrocytes modulate short-term synaptic plasticity. The model consists of a pre-synaptic bouton, a post-synaptic dendritic spine-head, a…

神经元与认知 · 定量生物学 2012-06-05 Shivendra Tewari , Kaushik Majumdar

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

We investigate calcium signaling feedback through calcium-activated potassium channels of a dendritic spine by applying the immersed boundary method with electrodiffusion. We simulate the stochastic gating of such ion channels and the…

亚细胞过程 · 定量生物学 2020-09-28 Pilhwa Lee

In neuroscience, synaptic plasticity refers to the set of mechanisms driving the dynamics of neuronal connections, called synapses and represented by a scalar value, the synaptic weight. A Spike-Timing Dependent Plasticity (STDP) rule is a…

概率论 · 数学 2021-11-17 Philippe Robert , Gaetan Vignoud

Many mathematical models of synaptic plasticity have been proposed to explain the diversity of plasticity phenomena observed in biological organisms. These models range from simple interpretations of Hebb's postulate, which suggests that…

神经元与认知 · 定量生物学 2025-08-05 Danil Tyulmankov

We present an effective model for timing-dependent synaptic plasticity (STDP) in terms of two interacting traces, corresponding to the fraction of activated NMDA receptors and the Ca2+ concentration in the dendritic spine of the…

神经元与认知 · 定量生物学 2015-02-26 Rodrigo Echeveste , Claudius Gros

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

In embryogenesis, epithelial cells, acting as individual entities or as coordinated aggregates in a tissue, exhibit strong coupling between chemical signalling and mechanical responses to internally or externally applied stresses.…

组织与器官 · 定量生物学 2023-06-27 Katerina Kaouri , Paul E. Méndez , Ricardo Ruiz-Baier

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…

统计方法学 · 统计学 2026-03-03 Laura D'Angelo , Francesco Denti , Antonio Canale , Michele Guindani

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…

神经元与认知 · 定量生物学 2018-12-19 Dora Matzakou-Karvouniari , Lionel Gil , Elaine Orendorff , Olivier Marre , Serge Picaud , Bruno Cessac

We propose a new model based on the Ising model with the aim to study synaptic plasticity phenomena in neural networks. It is today well established in biology that the synapses or connections between certain types of neurons are…

无序系统与神经网络 · 物理学 2016-07-22 Eugene Pechersky , Guillem Via , Anatoly Yambartsev

Collective sensing by interacting cells is observed in a variety of biological systems, and yet a quantitative understanding of how sensory information is collectively encoded is lacking. Here we investigate the ATP-induced calcium dynamics…

细胞行为 · 定量生物学 2017-09-20 Garrett D Potter , Tommy A Byrd , Andrew Mugler , Bo Sun
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