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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

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

Cell signaling, gene expression, and metabolism are affected by cell-cell heterogeneity and random changes in the environment. The effects of such fluctuations on cell signaling and gene expression have recently been studied intensively…

Biological Physics · Physics 2015-04-02 A. -K. Gustavsson , C. B. Adiels , B. Mehlig , M. Goksör

Collective cell responses to exogenous cues depend on cell-cell interactions. In principle, these can result in enhanced sensitivity to weak and noisy stimuli. However, this has not yet been shown experimentally, and, little is known about…

Calcium is an ubiquitous second messenger that triggers a plethora of key physiological responses. The events are initiated in micro- or nano-sized compartments and determined by the complex interactions with calcium-binding proteins and…

Subcellular Processes · Quantitative Biology 2013-05-01 S. L. Mironov

Exchange of biochemical substances is essential way in establishing communication between bacterial cells. It is noticeable that all phases of the process are heavily influenced by perturbations of either internal or external parameters.…

Chaotic Dynamics · Physics 2010-08-18 Igor Balaz , Dragutin T. Mihailovic

In multicellular organisms, cells coordinate their activities through cell-cell communication (CCC), which is crucial for development, tissue homeostasis, and disease progression. Recent advances in single-cell and spatial omics…

Quantitative Methods · Quantitative Biology 2026-03-24 Xiangzheng Cheng , Haili Huang , Ye Su , Qing Nie , Xiufen Zou , Suoqin Jin

Mounting evidence shows that oscillatory activity is widespread in cell signaling. Here we review some of this recent evidence, focusing on both the molecular mechanisms that potentially underlie such dynamical behavior, and the potential…

Cell Behavior · Quantitative Biology 2022-04-15 Pablo Casani-Galdon , Jordi Garcia-Ojalvo

Oscillations represent a ubiquitous phenomenon in biological systems. The conventional models of biological periodic oscillations are usually proposed as interconnecting transcriptional feedback loops. Some specific proteins function as…

Pattern Formation and Solitons · Physics 2013-05-29 Yue Ma , Kenichi Yoshikawa

We show that when cells communicate by contact-mediated interactions, heterogeneity in cell shapes and sizes leads to qualitatively distinct collective behavior in the tissue. For inter-cellular coupling that implements lateral inhibition,…

Tissues and Organs · Quantitative Biology 2023-01-10 Chandrashekar Kuyyamudi , Shakti N. Menon , Sitabhra Sinha

A ubiquitous way that cells share information is by exchanging molecules. Yet, the fundamental ways that this information exchange is influenced by intracellular dynamics remain unclear. Here we use information theory to investigate a…

Biological Physics · Physics 2020-07-23 Amir Erez , Tommy A. Byrd , Michael Vennettilli , Andrew Mugler

The calcium transport in biological systems is modelled as a reaction-diffusion process. Nonlinear calcium waves are then simulated using a stochastic cellular automaton whose rules are derived from the corresponding coupled partial…

Pattern Formation and Solitons · Physics 2010-03-30 Xin-She Yang

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…

Dynamical Systems · Mathematics 2024-01-31 Behnaz Rahmani , Samuel Jelbart , Vivien Kirk , James Sneyd

The paper highlights the role of a positive feedback gating mechanism at the cellular level in the robust- ness and modulation properties of rhythmic activities at the circuit level. The results are presented in the context of half-center…

Neurons and Cognition · Quantitative Biology 2014-12-22 Julie Dethier , Guillaume Drion , Alessio Franci , Rodolphe Sepulchre

Calcium and reactive oxygen species (ROS) interact with each other and play an important role in cell signaling networks. Based on the existing mathematical models, we develop an age-dependent feedback control model to simulate the…

Molecular Networks · Quantitative Biology 2022-02-03 Weijiu Liu

In recent years it is increasingly being recognized that biochemical signals are not necessarily constant in time and that the temporal dynamics of a signal can be the information carrier. Moreover, it is now well established that…

Molecular Networks · Quantitative Biology 2015-06-17 Wiet de Ronde , Pieter Rein ten Wolde

Coordinated responses to environmental stimuli are critical for multicellular organisms. To overcome the obstacles of cell-to-cell heterogeneity and noisy signaling dynamics within individual cells, cells must effectively exchange…

Biological Physics · Physics 2022-10-12 Guanyu Li , Ryan LeFebre , Alia Starman , Patrick Chappell , Andrew Mugler , Bo Sun

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

Intracellular Ca signals represent a universal mechanism of cell function. Messages carried by Ca are local, rapid, and powerful enough to be delivered over the thermal noise. A higher signal to noise ratio is achieved by a cooperative…

Cell Behavior · Quantitative Biology 2017-07-06 Anna Maltsev , Victor Maltsev , Michael Stern

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…

Cell Behavior · Quantitative Biology 2015-06-26 J. M. A. M. Kusters , J. M. Cortes , W. P. M. van Meerwijk , D. L. Ypey , A. P. R. Theuvenet , C. C. A. M. Gielen