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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

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…

Biological Physics · Physics 2007-05-23 M. E. Gracheva , J. D. Gunton

Living organisms continuously harness energy to perform complex functions for their adaptation and survival while part of that energy is dissipated in the form of heat or chemical waste. Determining the energetic cost and the efficiency of…

Molecular Networks · Quantitative Biology 2023-08-07 Valérie Voorsluijs , Francesco Avanzini , Gianmaria Falasco , Massimiliano Esposito , Alexander Skupin

Previous models of the cerebrovascular smooth muscle cell have not addressed the interaction between the electrical, chemical and mechanical components of cell function during the development of active tension. These models are primarily…

Cell Behavior · Quantitative Biology 2013-03-27 Jin Yang , John W. Clark , Robert M. Bryan , Claudia S. Robertson

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

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…

Dynamical Systems · Mathematics 2017-03-03 Katerina Kaouri , Philip K. Maini , S. Jonathan Chapman

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…

Cell Behavior · Quantitative Biology 2017-09-20 Garrett D Potter , Tommy A Byrd , Andrew Mugler , Bo Sun

We propose a modelling framework to analyse the stochastic behaviour of heterogeneous, multi-scale cellular populations. We illustrate our methodology with a particular example in which we study a population with an oxygen-regulated…

Biological Physics · Physics 2017-09-01 Roberto de la Cruz , Pilar Guerrero , Fabian Spill , Tomás Alarcón

Release of $Ca^{2+}$ from endoplasmatic retriculum (ER) $Ca^{2+}$ stores causes stromal interaction molecules (STIM) in the ER membrane and ORAI proteins in the plasma membrane (PM) to interact and form the $Ca^{2+}$ release activated…

Biological Physics · Physics 2019-02-21 Barbara Schmidt , Dalia Alansary , Ivan Bogeski , Barbara A. Niemeyer , Heiko Rieger

We propose a statistical model of a large random network with high connectivity in order to describe the behavior of {\it E.\,coli} cells after exposure to acute stress. The building blocks of this network are feedback cycles typical of the…

Disordered Systems and Neural Networks · Physics 2022-02-22 S. Reich , S. Maoz , Y. Kaplan , H. Rappeport , N. Q. Balaban , O. Agam

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

Accurate regulation of calcium release is essential for cellular signaling, with the spatial distribution of ryanodine receptors (RyRs) playing a critical role. In this study, we present a nonlinear spatial network model that simulates RyR…

Subcellular Processes · Quantitative Biology 2025-07-14 Tian-Tian Li , Zhong-Xue Gao , Zuo-Ming Ding , Han-Yu Jiang , Jun He

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

Reaction-diffusion systems with reversible reactions generically display power-law relaxation towards chemical equilibrium. In this work we investigate through numerical simulations aging processes that characterize the non-equilibrium…

Statistical Mechanics · Physics 2011-06-10 Nasrin Afzal , Justin Waugh , Michel Pleimling

Modeling of polymer oxidative aging has been actively studied since the 1990s. Insights from these studies suggest that the transport of oxygen and radicals significantly influences aging heterogeneity, alongside chemical reaction kinetics.…

Soft Condensed Matter · Physics 2025-01-07 Takato Ishida , Kazuya Haremaki , Yusuke Koide , Takashi Uneyama , Yuichi Masubuchi

Neurons rely on two interdependent mechanisms, homeostasis and neuromodulation, to maintain robust and adaptable functionality. Calcium homeostasis stabilizes neuronal activity by adjusting ionic conductances, whereas neuromodulation…

Neurons and Cognition · Quantitative Biology 2026-05-13 Arthur Fyon , Guillaume Drion

Oxidative stress occurs when reactive oxygen species (ROS) exceed antioxidant defences, which can have deleterious effects on cell function, health and survival. Therefore, organisms are expected to finely regulate pro-oxidant and…

Populations and Evolution · Quantitative Biology 2019-08-06 Charlotte Récapet , Mathilde Arrivé , Blandine Doligez , Pierre Bize

The molecular network in an organism consists of transcription/translation regulation, protein-protein interactions/modifications and a metabolic network, together forming a system that allows the cell to respond sensibly to the multiple…

Molecular Networks · Quantitative Biology 2007-05-23 Sandeep Krishna , Anna M. C. Andersson , Szabolcs Semsey , Kim Sneppen

Organisms are equipped with regulatory systems that display a variety of dynamical behaviours ranging from simple stable steady states, to switching and multistability, to oscillations. Earlier work has shown that oscillations in protein…

Molecular Networks · Quantitative Biology 2009-11-13 Simone Pigolotti , Sandeep Krishna , Mogens H. Jensen

Coral colonies exhibit complex, self-similar branching architectures shaped by biochemical interactions and environmental constraints. To model their growth and calcification dynamics, we propose a novel p-adic reaction-diffusion framework…

Dynamical Systems · Mathematics 2026-03-17 Angela Fuquen-Tibatá , Yuriria Cortés-Poza , J. Rogelio Pérez-Buendía
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