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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 · Physics 2009-10-31 Markus Baer , Martin Falcke , Herbert Levine , Lev S. Tsimring

We applied a periodic magnetic field of frequency 16 Hz and amplitude 16 nT to a human I_Ks channel, expressed in a Xenopus oocyte and varied the membrane depolarization between -100 mV and +100 mV. We observed a maximal increase of about…

Quantitative Methods · Quantitative Biology 2009-05-21 M. Shaked , G. Gibor , B. Attali , Z. Schuss

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…

Biological Physics · Physics 2009-11-10 Luk C. Yeung , Gastone C. Castellani , Harel Z. Shouval

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…

Subcellular Processes · Quantitative Biology 2016-09-14 Ulrich Dobramysl , Sten Rüdiger , Radek Erban

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…

Biological Physics · Physics 2021-10-14 Maria Reva , David A. DiGregorio , Denis S. Grebenkov

A position-dependent stochastic diffusion model of gating in ion channels is developed by considering the spatial variation of the diffusion coefficient between the closed and open states. It is assumed that a sensor which regulates the…

Mesoscale and Nanoscale Physics · Physics 2014-07-24 Samuel Robert Vaccaro

We study the effect of intracellular ion diffusion on ionic currents permeating through the cell membrane. Ion flux across the cell membrane is mediated by special proteins forming specific channels. The structure of potassium channels have…

Cell Behavior · Quantitative Biology 2015-02-20 D. Andreucci , D. Bellaveglia , E. N. M. Cirillo , S. Marconi

We present a general framework to study the effect of killing sources on moving particles, trafficking inside biological cells. We are merely concerned with the case of spine-dendrite communication, where the number of calcium ions, modeled…

Mathematical Physics · Physics 2007-05-23 D. Holcman , A. Marchewka , Z. Schuss

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…

Biological Physics · Physics 2021-07-09 Thais Appelt Peres Bartiê , Leonel Teixeira Pinto

Voltage gated channel proteins cooperate in the transmission of membrane potentials between nerve cells. With the recent progress in atomic-scaled biological chemistry it has now become established that these channel proteins provide highly…

Neurons and Cognition · Quantitative Biology 2012-06-11 Johann Summhammer , Vahid Salari , Gustav Bernroider

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.…

Tissues and Organs · Quantitative Biology 2023-06-27 Katerina Kaouri , Paul E. Méndez , Ricardo Ruiz-Baier

We use Brownian dynamics simulations to study the permeation properties of a generic electrostatic model of a biological ion channel as a function of the fixed charge $Q_f$ at its selectivity filter. We reconcile the recently-discovered…

Biological Physics · Physics 2013-12-05 I. Kaufman , D. G. Luchinsky , R. Tindjong , P. V. E. McClintock , R. S. Eisenberg

Microfluidic channels with embedded ion permselective medium under the application of electric current are commonly used for electrokinetic processes as on-chip ion concentration polarization (ICP) and bioparticle preconcentration to…

Fluid Dynamics · Physics 2022-11-22 Barak Sabbagh , Sinwook Park , Gilad Yossifon

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…

Numerical Analysis · Mathematics 2022-03-14 Qingguang Guan , Gillian Queisser

In this article we address the three-dimensional modeling and simulation of biological ion channels using a continuum-based approach. Our multi-physics formulation self-consistently combines, to the best of our knowledge for the first time,…

Numerical Analysis · Mathematics 2015-09-25 Riccardo Sacco , Paolo Airoldi , Aurelio G. Mauri , Joseph W. Jerome

Many ion channels spontaneously switch between different levels of activity. Although this behaviour known as modal gating has been observed for a long time it is currently not well understood. Despite the fact that appropriately…

Quantitative Methods · Quantitative Biology 2018-08-14 Ivo Siekmann , Mark Fackrell , Edmund J. Crampin , Peter Taylor

We develop a coarse grained (CG) approach for efficiently simulating calcium dynamics in the endoplasmic reticulum membrane based on a fine stochastic lattice gas model. By grouping neighboring microscopic sites together into CG cells and…

Chemical Physics · Physics 2015-06-15 Chuansheng Shen , Hanshuang Chen

Understanding transport behavior in nanoconfined environments is critical to many natural and engineering systems, including cementitious materials, yet its molecular-level mechanisms remain poorly understood. Here, molecular dynamics (MD)…

Chemical Physics · Physics 2025-09-30 Weiqiang Chen , Kai Gong

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…

Statistical Mechanics · Physics 2013-07-15 Laura Cantini , Claudia Cianci , Duccio Fanelli , Emma Massi , Luigi Barletti

Voltage-gated ion channels are key molecules for the generation and propagation of electrical signals in excitable cell membranes. The voltage-dependent switching of these channels between conducting and nonconducting states is a major…

Biological Physics · Physics 2009-09-10 Riza Erdem , Ekrem Aydiner
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