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Coupled oscillator networks often display transitions between qualitatively different phase-locked solutions -- such as synchrony and rotating wave solutions -- following perturbation or parameter variation. In the limit of weak coupling,…

Dynamical Systems · Mathematics 2025-10-10 Jorge L. Ocampo-Espindola , István Z. Kiss , Christian Bick , Kyle C. A. Wedgwood

Fundamental biological and biomimetic processes, from tissue morphogenesis to soft robotics, rely on the propagation of chemical and mechanical surface waves to signal and coordinate active force generation. The complex interplay between…

Soft Condensed Matter · Physics 2018-07-04 Pearson W. Miller , Norbert Stoop , Jörn Dunkel

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

Synchronization of actively oscillating organelles such as cilia and flagella facilitates self-propulsion of cells and pumping fluid in low Reynolds number environments. To understand the key mechanism behind synchronization induced by…

Soft Condensed Matter · Physics 2015-05-20 Nariya Uchida , Ramin Golestanian

Cilia and flagella exhibit regular bending waves that perform mechanical work on the surrounding fluid, to propel cellular swimmers and pump fluids inside organisms. Here, we quantify a force-velocity relationship of the beating flagellum,…

Cell Behavior · Quantitative Biology 2016-12-21 Gary S. Klindt , Christian Ruloff , Christian Wanger , Benjamin M. Friedrich

Manipulation of mechanical motion at the micro-scale has been attracting continuous attention, leading to the successful implementation of various strategies with potential impact on classical and quantum information processing. We here…

A large variety of rhythms are observed in nature. Rhythms such as electroencephalogram signals in the brain can often be regarded as interacting. In this study, we investigate the dynamical properties of rhythmic systems in two populations…

Chaotic Dynamics · Physics 2016-07-20 Yu Terada , Toshio Aoyagi

Mechanical oscillations are important for many cellular processes, e.g. the beating of cilia and flagella or the sensation of sound by hair cells. These dynamic states originate from spontaneous oscillations of molecular motors. A…

Biological Physics · Physics 2009-01-29 Stefan Gunther , Karsten Kruse

We study the phenomenon of synchronization in pairs of doubly clamped, mechanically coupled silicon micro-oscillators. A continuous-wave laser beam is used to drive the micro-beams into limit cycle oscillations and to detect the…

Pattern Formation and Solitons · Physics 2022-12-27 Aditya Bhaskar , Mark Walth , Richard H. Rand , Alan T. Zehnder

Spermatozoa flagella are known to synchronize when swimming in close proximity. We use a model consisting of two-dimensional sheets propagating transverse waves of displacement to demonstrate that fluid forces lead to such synchronization…

Fluid Dynamics · Physics 2011-08-30 Gwynn J. Elfring , Eric Lauga

Fluid-structure interactions between active and passive components are important for many biological systems to function. A particular example is chromatin in the cell nucleus, where ATP-powered processes drive coherent motions of the…

Soft Condensed Matter · Physics 2024-02-15 Scott Weady , David B. Stein , Alexandra Zidovska , Michael J. Shelley

We investigate the transport dynamics of elongated particles in cellular vortical flows that undergo spatial oscillations over time. Experimental flow visualizations reveal mixed flow fields with chaotic and elliptic regions coexisting.…

Fluid Dynamics · Physics 2025-08-14 Shiyuan Hu , Xiuyuan Yang , Nan Luo , Jun Zhang , Xingkun Man

We introduce and theoretically investigate a minimal particle-based model for a new class of active matter where particles exhibit directional, volume-conserving division in confinement while interacting sterically, mimicking cells in early…

Soft Condensed Matter · Physics 2024-10-01 Samantha R. Lish , Lukas Hupe , Ramin Golestanian , Philip Bittihn

In this letter, we report a numerical study on the collective dynamics of two mutually coupled Thomas oscillators with linear/nonlinear coupling in a dynamic environment. We claim our model calculations can explain the diffusion of…

Chaotic Dynamics · Physics 2022-07-13 Vinesh Vijayan , Biplab Ganguli

Convergence extension, the simultaneous elongation of tissue along one axis while narrowing along a perpendicular axis, occurs during embryonic development. A fundamental process that contributes to shaping the organism, it happens in many…

Soft Condensed Matter · Physics 2023-03-06 Aondoyima Ioratim-Uba , Tanniemola B. Liverpool , Silke Henkes

Pulsatory activity patterns, driven by mechanochemical feedback, are prevalent in many biological systems. Here we present a theoretical framework to elucidate the mechanical origin and regulation of pulsatile activity patterns within…

Biological Physics · Physics 2023-10-10 Fernanda Pérez-Verdugo , Samuel Banks , Shiladitya Banerjee

We characterize the synchronization of an array of coupled chaotic elements as a phase transition where order parameters related to the joint probability at two sites obey power laws versus the mutual coupling strength; the phase transition…

Chaotic Dynamics · Physics 2007-05-23 F. T. Arecchi , M. Ciszak

Models of active nematics in biological systems normally require complexity arising from the hydrodynamics involved at the microscopic level as well as the viscoelastic nature of the system. Here we show that a minimal, space-independent,…

Soft Condensed Matter · Physics 2022-06-27 Emmanuel L. C. VI M. Plan , Huong Le Thi , Julia M. Yeomans , Amin Doostmohammadi

We analyze the collective behavior of hydrodynamically coupled molecular motors. We show that the local fluxes induced by motors displacement can induce the experimentally observed bidirectional motion of cargoes and vesicles. By means of a…

Soft Condensed Matter · Physics 2017-11-22 P. Malgaretti , I. Pagonabarraga , J. F. Joanny

A system of active colloidal particles driven by harmonic potentials to oscillate about the vertices of a regular polygon, with hydrodynamic coupling between all particles, is described by a piece-wise linear model which exhibits various…

Statistical Mechanics · Physics 2013-05-30 Giovanni M. Cicuta , Enrico Onofri , Marco Cosentino Lagomarsino , Pietro Cicuta