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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

Oscillatory biochemical signals and mechanical forces must coordinate robustly during development, yet the principles governing their mutual coupling remain poorly understood. In syncytial embryos and cell-free extracts, mitotic waves…

Biological Physics · Physics 2026-01-12 Lara Koehler , Elissavet Sandaltzopoulou , Frank Jülicher , Jan Brugués

Major part of a pancreatic islet is composed of beta cells that secrete insulin, a key hormone regulating influx of nutrients into all cells in a vertebrate organism to support nutrition, housekeeping or energy storage. Beta cells…

Biological Physics · Physics 2017-10-13 Dean Korošak , Marjan Slak Rupnik

This paper provides synchronization conditions for networks of nonlinear systems. The components of the network (referred to as "compartments'' in this paper) are made up of an identical interconnection of subsystems, each represented as an…

Optimization and Control · Mathematics 2009-03-12 L. Scardovi , M. Arcak , E. D. Sontag

The feedback between mechanical and chemical signals plays a key role in controlling many biological processes and collective cell behavior. Here we focus on the emergence of spatiotemporal density waves in a one-dimensional "cell train."…

Biological Physics · Physics 2025-02-12 Toshi Parmar , Liam P. Dow , Beth L. Pruitt , M. Cristina Marchetti

Yeast glycolysis is considered the prototype of dissipative biochemical oscillators. In cellular conditions, under sinusoidal source of glucose, the activity of glycolytic enzymes can display either periodic, quasiperiodic or chaotic…

Quantitative Methods · Quantitative Biology 2011-01-18 Jesus M. Cortes , Ildefonso M. De la Fuente

Since the earliest electroencephalography experiments, large scale oscillations have been observed in the mammalian brain. More recently, episodes of oscillation and bursting have been identified not only in the cerebral cortex and…

Neurons and Cognition · Quantitative Biology 2025-09-03 Daniel Pouzzner

The cooperative dynamics of cellular populations emerging from the underlying interactions determines cellular functions, and thereby their identity in tissues. Global deviations from this dynamics on the other hand reflects pathological…

Cell Behavior · Quantitative Biology 2020-02-19 Nataliya Stankevich , Aneta Koseska

The electrophysiology of betacells is at the origin of insulin secretion. Betacells exhibit a complex behaviour upon stimulation with glucose including repeated and uninterrupted bursting. Mathematical modelling is most suitable to improve…

Cell Behavior · Quantitative Biology 2007-05-23 Michael Meyer-Hermann

The galactose network is a complex system responsible for galactose metabolism. It has been extensively studied experimentally and mathematically at the unicellular level to broaden our understanding of its regulatory mechanisms at higher…

Molecular Networks · Quantitative Biology 2016-02-12 Tina M. Mitre , Anmar Khadra , Michael C. Mackey

Cortical oscillations are thought to be involved in many cognitive functions and processes. Several mechanisms have been proposed to regulate oscillations. One prominent but understudied mechanism is gap-junctional coupling. Gap junctions…

Neurons and Cognition · Quantitative Biology 2018-07-04 Guillaume Pernelle , Wilten Nicola , Claudia Clopath

A formalism is developed which describes the extent to which stochastic oscillations in biochemical models are synchronised. It is based on the calculation of the complex coherence function within the linear noise approximation. The method…

Statistical Mechanics · Physics 2013-07-29 Joseph D. Challenger , Alan J. McKane

The mechanism of synchronization of oscillations in two identical coupled flow systems has beenstudied. The time (past the coupling onset) during which a synchronous oscillation regime is establisheddepends on the oscillation phase…

Chaotic Dynamics · Physics 2015-06-26 A. A. Koronovskii , A. E. Hramov , I. A. Khromova

Maintenance of adequate physical and functional pancreatic $\beta$-cell mass is critical for the prevention or delay of diabetes mellitus. It is well established that insulin potently activates mitogenic and anti-apoptotic signaling…

Dynamical Systems · Mathematics 2024-06-04 Changbing Hu , Junyuan Yang , James D. Johnson , Jiaxu Li

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

We investigate the consequences of periodic, on-off glucose infusion on the glucose-insulin regulatory system on the basis of a system-level mathematical model with two explicit time delays. Studying the effects of such infusion protocols…

Dynamical Systems · Mathematics 2023-10-05 Stefan Ruschel , Benoit Huard

Periodic forcing of nonlinear oscillators leads to a large number of dynamic behaviors. The coupling of the cell-cycle to the circadian clock provides a biological realization of such forcing. Using high throughput single-cell microscopy,…

An inhomogeneous profile of chemostatted species generates a rich variety of patterns in glycolytic waves depicted in a Selkov reaction-diffusion framework here. A key role played by diffusion amplitude and symmetry in the chemostatted…

Adaptation and Self-Organizing Systems · Physics 2022-12-20 Premashis Kumar , Gautam Gangopadhyay

Despite evidence for a hydrodynamic origin of flagellar synchronization between different eukaryotic cells, recent experiments have shown that in single multi-flagellated organisms, coordination hinges instead on direct basal body…

Biological Physics · Physics 2018-10-12 Yujie Liu , Rory Claydon , Marco Polin , Douglas R. Brumley

Anaerobic glycolysis in yeast perturbed by the reduction of xenobiotic ketones is studied numerically in two models which possess the same topology but different levels of complexity. By comparing both models' predictions for concentrations…

Molecular Networks · Quantitative Biology 2007-05-23 Lutz Brusch , Gianaurelio Cuniberti , Martin Bertau