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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…

Probability · Mathematics 2020-01-29 Antonio Galves , Eva Löcherbach , Christophe Pouzat , Errico Presutti

We give an explicit formula for the membrane potential of cells in terms of the intracellular and extracellular ionic concentrations, and derive equations for the ionic currents that flow through channels, exchangers and electrogenic pumps…

Biological Physics · Physics 2007-05-23 Lars Petter Endresen , Kevin Hall

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…

Biological Physics · Physics 2007-05-23 Michael Meyer-Hermann , Frido Erler , Gerhard Soff

Numerical methods are proposed for an advanced Poisson-Nernst-Planck-Fermi (PNPF) model for studying ion transport through biological ion channels. PNPF contains many more correlations than most models and simulations of channels, because…

Biomolecules · Quantitative Biology 2015-06-22 Jinn-Liang Liu , Bob Eisenberg

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

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

Chemical potential is an effective way to drive phase transition or express wettability. In this letter, we present a chemical-potential-based lattice Boltzmann model to simulate multiphase flows. The nonideal force is directly evaluated by…

Computational Physics · Physics 2017-06-21 Binghai Wen , Xuan Zhou , Bing He , Chaoying Zhang , Haiping Fang

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

We derive a new formulation to calculate the excess chemical potential of a fraction of $N_1$ particles interacting with $N_2$ particles of a different species. The excess chemical potential is calculated numerically from first principles…

Astrophysics · Physics 2008-11-26 Christophe Winisdoerffer , Gilles Chabrier , Gilles Zérah

Calcium currents in neurons and muscle cells have been classified as being one of 5 types of which four, L, N, P/Q and R were said to be high threshold and one, T, was designated low threshold. This review focuses on quantitative aspects of…

Neurons and Cognition · Quantitative Biology 2011-07-19 Henry C Tuckwell

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

It is shown, by means of numerical simulations, that intercellular spiral waves of calcium can be initiated in a network of coupled cells as a result of a de-synchronization between Ca2+ oscillations in two domains. No artificial…

Molecular Networks · Quantitative Biology 2010-10-14 Wilfred D. Kepseu , Paul Woafo , H. Sakaguchi

Calcium (Ca) plays an important role in regulating various cellular processes. In a variety of cell types, Ca signaling occurs within microdomains where channels deliver localized pulses of Ca which activate a nearby collection of…

Subcellular Processes · Quantitative Biology 2009-11-13 Robert Rovetti , Kunal K. Das , Alan Garfinkel , Yohannes Shiferaw

The parameters of many-body potentials for Co, Nb and Zr metals, based on the embedded-atom method, have been systematically derived. The analytical potential scheme allows us to reproduce correctly the cohesive energies and structural…

Materials Science · Physics 2014-05-02 Pascal Thibaudeau , Julian Gale

Quantification of neuronal correlations in neuron populations helps us to understand neural coding rules. Such quantification could also reveal how neurons encode information in normal and disease conditions like Alzheimer's and…

Neurons and Cognition · Quantitative Biology 2021-05-10 Sathish Ande , Srinivas Avasarala , Ajith Karunarathne , Lopamudra Giri , Soumya Jana

Radiofrequency capacitively coupled plasma is studied theoretically using a Particle-in-Cell code. For He discharge, the time-averaged sheaths are in the range of few centimeters. The sheath potential, ion, and electron energy and angular…

Plasma Physics · Physics 2023-09-29 M. Shihab , A. Elbadawy , M. S. Afify , N. El-Siragy

Correlated systems represent a class of materials that are difficult to describe through traditional electronic structure methods. The computational demand to simulate the structural dynamics of such systems, with correlation effects…

Strongly Correlated Electrons · Physics 2024-12-06 Rishi Rao , Li Zhu

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…

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

Machine learning interatomic potentials are revolutionizing large-scale, accurate atomistic modelling in material science and chemistry. Many potentials use atomic cluster expansion or equivariant message passing frameworks. Such frameworks…

Computational Physics · Physics 2024-07-31 Bingqing Cheng