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We use tools of bifurcation theory to characterize dynamics of astrocytic~IP$_3$ and~Ca$^{2+}$ for different~IP$_3$ regimes from a mathematical point of view. We do so following a bottom-up approach, starting from a compact, well-stirred…

Neurons and Cognition · Quantitative Biology 2017-06-27 Valeri Matrosov , Susan Gordleeva , Natalia Boldyreva , Eshel Ben-Jacob , Alexey Semyanov , Victor Kazantsev , Maurizio De Pittà

Metabolic oscillations in single cells underlie the mechanisms behind cell synchronization and cell-cell communication. For example, glycolytic oscillations mediated by biochemical communication between cells may synchronize the pulsatile…

Recent years have witnessed an increasing interest in neuron-glia communication. This interest stems from the realization that glia participates in cognitive functions and information processing and is involved in many brain disorders and…

Neurons and Cognition · Quantitative Biology 2009-12-17 Maurizio De Pitta` , Mati Goldberg , Vladislav Volman , Hugues Berry , Eshel Ben-Jacob

Cell movement and intercellular signaling occur simultaneously during the development of tissues, but little is known about how movement affects signaling. Previous theoretical studies have shown that faster moving cells favor…

Cell Behavior · Quantitative Biology 2012-05-09 Koichiro Uriu , Saul Ares , Andrew C. Oates , Luis G. Morelli

Clusters of IP3 receptor channels in the membranes of the endoplasmic reticulum (ER) of many non-excitable cells release calcium ions in a cooperative manner giving rise to dynamical patterns such as Ca2+ puffs, waves, and oscillations that…

Subcellular Processes · Quantitative Biology 2018-10-17 Svitlana Braichenko , Atul Bhaskar , Srinandan Dasmahapatra

We study synchronization of two cardiomyocytes mediated by elastic interactions through the substrate. Modeling each cell as an oscillating force dipole governed by a Rayleigh-type equation, we derive an effective mechanical coupling from…

Soft Condensed Matter · Physics 2026-05-15 Akinari Tomiie , Nariya Uchida

We study molecular dynamics within populations of diffusively coupled cells under the assumption of fast diffusive exchange. As a technical tool, we propose conditions on boundedness and ultimate boundedness for systems with a singular…

Cell Behavior · Quantitative Biology 2012-12-19 Steffen Waldherr , Frank Allgöwer

Pancreatic beta cells are coupled excitable oscillators that synchronize their activity via different communication pathways. Their oscillatory activity manifests itself on multiple timescales and consists of bursting electrical activity,…

Biological Physics · Physics 2023-09-14 Marko Šterk , Uroš Barać , Andraž Stožer , Marko Gosak

We typically think of cells as responding to external signals independently by regulating their gene expression levels, yet they often locally exchange information and coordinate. Can such spatial coupling be of benefit for conveying…

Molecular Networks · Quantitative Biology 2015-01-19 Thomas R. Sokolowski , Gašper Tkačik

We study synchronization dynamics of a population of pulse-coupled oscillators. In particular, we focus our attention in the interplay between networks topological disorder and its synchronization features. Firstly, we analyze…

Statistical Mechanics · Physics 2009-10-31 X. Guardiola , A. Diaz-Guilera , M. Llas , C. J. Perez

Beating flagella exhibit a variety of synchronization modes. This synchrony has long been attributed to hydrodynamic coupling between the flagella. However, recent work with flagellated algae indicates that a mechanism internal to the cell,…

Biological Physics · Physics 2020-11-18 Hanliang Guo , Yi Man , Kirsty Y. Wan , Eva Kanso

Cells continuously interact with their environment mediating their responses through signaling cascades. Very often, external stimuli induce pulsatile behaviors in intermediaries of the cascade of increasing frequency with the stimulus…

Cell Behavior · Quantitative Biology 2024-04-22 Alan Givré , Silvina Ponce Dawson

Deciphering the complex interactions between neurotransmission and astrocytic $Ca^{2+}$ elevations is a target promising a comprehensive understanding of brain function. While the astrocytic response to excitatory synaptic activity has been…

Cell Behavior · Quantitative Biology 2019-03-19 Ioannis E. Polykretis , Vladimir A. Ivanov , Konstantinos P. Michmizos

Collective cell migration lies at the intersection of developmental biology and non-equilibrium physics, where active processes give rise to emergent patterns that are biologically relevant. Here, we investigate dilatational modes--cycles…

Soft Condensed Matter · Physics 2025-07-23 Wenhui Tang , Mehrana R. Nejad , Adrian F. Pegoraro , L. Mahadevan , Ming Guo

We explore the interplay of network structure, topology, and dynamic interactions between nodes using the paradigm of distributed synchronization in a network of coupled oscillators. As the network evolves to a global steady state,…

Disordered Systems and Neural Networks · Physics 2015-06-04 Kristina Lerman , Rumi Ghosh

We study the efficiency of synchronization in ensembles of identical coupled stochastic oscillator systems. By deriving a chemical Langevin equation, we measure the rate at which the systems synchronize. The rate at which the difference in…

Subcellular Processes · Quantitative Biology 2015-04-03 G. Reenaroy Devi , R. K. Brojen Singh , Ram Ramaswamy

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

Synchronization plays a crucial role in the dynamics of living organisms, from fireflies flashing in unison to pacemaker cells that jointly generate heartbeats. Uncovering the mechanism behind these phenomena requires an understanding of…

Adaptation and Self-Organizing Systems · Physics 2024-05-16 Aleksandre Japaridze , Victor Struijk , Kushal Swamy , Irek Roslon , Oriel Shoshani , Cees Dekker , Farbod Alijani

We introduce a simple procedure of multivariate signal analysis to uncover the functional connectivity among cells composing a living tissue and describe how to apply it for extracting insight on the effect of drugs in the tissue. The…

Biological Physics · Physics 2014-06-11 Marcelo Pires , Frank Raischel , Sandra Vaz , Andreia Cruz-Silva , Ana Sebastião , Pedro G. Lind

The dynamics of three mutually coupled cortical neurons with time delays in the coupling are explored numerically and analytically. The neurons are coupled in a line, with the middle neuron sending a somewhat stronger projection to the…

Chaotic Dynamics · Physics 2011-01-25 Alexandra S. Landsman , Ira B. Schwartz
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