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We propose a simple discrete stochastic model for calcium dynamics in living cells. Specifically, the calcium concentration distribution is assumed to give rise to a set of probabilities for the opening/closing of channels which release…

patt-sol · 物理学 2009-10-31 Markus Baer , Martin Falcke , Herbert Levine , Lev S. Tsimring

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

Ca$^{2+}$ plays an important role in cell signal transduction. Its intracellular propagation is the most basic process of Ca$^{2+}$ signaling, such as calcium wave and double messenger system. In this work, with both numerical simulation…

生物物理 · 物理学 2021-02-01 Han-Yu Jiang , Jun He

Oscillations of free intracellular calcium concentration are thought to be important in the control of a wide variety of physiological phenomena, and there is long-standing interest in understanding these oscillations via the investigation…

动力系统 · 数学 2024-01-31 Behnaz Rahmani , Samuel Jelbart , Vivien Kirk , James Sneyd

Intracellular calcium is regulated in part by the release of Ca$^{2+}$ ions from the endoplasmic reticulum via inositol-4,5-triphosphate receptor (IP$_3$R) channels (among other possibilities such as RyR and L-type calcium channels). The…

亚细胞过程 · 定量生物学 2016-09-14 Ulrich Dobramysl , Sten Rüdiger , Radek Erban

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

Most of the calcium in the body is stored in bone. The rest is stored elsewhere, and calcium signalling is one of the most important mechanisms of information propagation in the body. Yet, many questions remain open. In this work, we…

动力系统 · 数学 2017-03-03 Katerina Kaouri , Philip K. Maini , S. Jonathan Chapman

A stochastic model of intracellular calcium oscillations is analytically studied. The governing master equation is expanded under the linear noise approximation and a closed prediction for the power spectrum of fluctuations analytically…

统计力学 · 物理学 2013-07-15 Laura Cantini , Claudia Cianci , Duccio Fanelli , Emma Massi , Luigi Barletti

Calcium oscillation is an important calcium homeostasis, imbalance of which is the key mechanism of initiation and progression of many major diseases. The formation and maintenance of calcium homeostasis are closely related to the spatial…

亚细胞过程 · 定量生物学 2023-02-22 Zhong-Xue Gao , Tian-Tian Li , Han-Yu Jiang , Jun He

We study the dynamics of intracellular calcium oscillations in the presence of proteins that bind calcium on multiple sites and that are generally believed to act as passive calcium buffers in cells. We find that multisite calcium-binding…

亚细胞过程 · 定量生物学 2015-05-14 Roberto Chignola , Alessio Del Fabbro , Edoardo Milotti

Unicellular organisms are open metabolic systems that need to process information about their external environment in order to survive. In most types of tissues and organisms, cells use calcium signaling to carry information from the…

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

Like many other biological processes, calcium dynamics in neurons containing an endoplasmic reticulum are governed by diffusion-reaction equations on interface-separated domains. Interface conditions are typically described by systems of…

数值分析 · 数学 2022-03-14 Qingguang Guan , Gillian Queisser

In this letter we present the results of a simple model for intercellular communication via calcium oscillations, motivated in part by a recent experimental study. The model describes two cells (a "donor" and "sensor") whose intracellular…

生物物理 · 物理学 2007-05-23 M. E. Gracheva , J. D. Gunton

Calcium dynamics is the highly responsible for intracellular electrical (action potential) and chemical (neurotransmitter) signaling in neuron cell. The Mathematical modeling of calcium dynamics in neurons lead to the reaction diffusion…

细胞行为 · 定量生物学 2013-01-08 Amrita tripathi , Neeru Adlakha

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

Proteins' fuzziness are features for communicating changes in cell signaling instigated by binding with secondary messengers, such as calcium ions, associated with the coordination of muscle contraction, neurotransmitter release, and gene…

定量方法 · 定量生物学 2024-07-25 Pengzhi Zhang , Jules Nde , Yossi Eliaz , Nathaniel Jennings , Piotr Cieplak , Margaret. S. Cheung

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

Several different enzymes display an apparent diffusion coefficient that increases with the concentration of their substrate. Moreover, their motion becomes directed in substrate gradients. Currently, there are several competing models for…

生物物理 · 物理学 2020-09-23 Giovanni Giunta , Hamid Seyed-Allaei , Ulrich Gerland
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