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Biological pattern formation is one of the most intriguing phenomena in nature. Simplest examples of such patterns are represented by travelling waves and stationary periodic patterns which occur during various biological processes…

Analysis of PDEs · Mathematics 2024-06-12 Valentina Bucur , Bakhtier Vasiev

We present theoretical and experimental studies on pattern formation with bistable dynamical units coupled in a star network configuration. By applying a localized perturbation to the central or the peripheral elements, we demonstrate the…

Adaptation and Self-Organizing Systems · Physics 2017-04-19 Nikos E Kouvaris , Michael Sebek , Albert Iribarne , Albert Diaz-Guilera , Istvan Z Kiss

The reaction-diffusion models have been extensively applied to explain the mechanism of pattern formations in early embryogenesis based on geometrically confined microtissues consisting of human pluripotent stem cells. Recently, mechanical…

Biological Physics · Physics 2022-11-22 Tiankai Zhao , Hongyan Yuan

Bundles of filamentous polymers are primary structural components of a broad range of cytoskeletal structures, and their mechanical properties play key roles in cellular functions ranging from locomotion to mechanotransduction and…

Soft Condensed Matter · Physics 2010-02-23 Claus Heussinger , Felix Schueller , Erwin Frey

We investigate the dynamical formation of nonlinear patterns in one-dimensional ring condensates under bichromatic periodic modulation of the interaction strength. The stability phase diagram of the condensate's homogeneous density state is…

Quantum Gases · Physics 2025-11-11 Premabrata Manna , S. I. Mistakidis , P. G. Kevrekidis , Pankaj Kumar Mishra

Active matter systems provide fascinating examples of pattern formation and collective motility without counterparts in equilibrium systems. Here, we employ Brownian dynamics simulations to study the collective motion and self-organization…

Soft Condensed Matter · Physics 2021-12-20 Leila Abbaspour , Ali Malek , Stefan Karpitschka , Stefan Klumpp

Microtubules are a major component of the cytoskeleton distinguished by highly dynamic behavior both in vitro and in vivo. We propose a general mathematical model that accounts for the growth, catastrophe, rescue and nucleation processes in…

Biological Physics · Physics 2015-05-13 Peter Hinow , Vahid Rezania , Jack A. Tuszynski

Inspired by recent experiments of cells accumulating on anisotropic substrates, we study a two-dimensional, compressible, isotropic, active fluid in the presence of anisotropic friction. We find that regions of anisotropic friction that are…

Soft Condensed Matter · Physics 2026-03-04 Cody D. Schimming , Brian A. Camley

The internal dynamics of active gels, both in artificial (in-vitro) model systems and inside the cytoskeleton of living cells, has been extensively studied by experiments of recent years. These dynamics are probed using tracer particles…

Soft Condensed Matter · Physics 2015-07-28 E. Ben Isaac , É. Fodor , P. Visco , F. van Wijland , N. S. Gov

Active nematic fluids confined in narrow channels generate spontaneous flows when the activity is sufficiently intense. Recently, it was shown that if the molecular anchoring at the channel walls is conflicting flows are initiated even in…

Soft Condensed Matter · Physics 2021-11-02 C. Rorai , F. Toschi , I. Pagonabarraga

We use a combination of unsupervised clustering and sparsity-promoting inference algorithms to learn locally dominant force balances that explain macroscopic pattern formation in self-organized active particle systems. The self-organized…

Soft Condensed Matter · Physics 2023-07-28 Dominik Sturm , Suryanarayana Maddu , Ivo F. Sbalzarini

We present a generic theory for the dynamics of a stiff filament under tension, in an active medium with orientational correlations, such as a microtubule in contractile actin. In sharp contrast to the case of a passive medium, we find the…

Soft Condensed Matter · Physics 2009-01-28 Norio Kikuchi , Allen Ehrlicher , Daniel Koch , Josef A. Käs , Sriram Ramaswamy , Madan Rao

Turing instability in activator-inhibitor systems provides a paradigm of nonequilibrium pattern formation; it has been extensively investigated for biological and chemical processes. Turing pattern formation should furthermore be possible…

Adaptation and Self-Organizing Systems · Physics 2010-05-13 Hiroya Nakao , Alexander S. Mikhailov

Intracellular protein patterns govern essential cellular functions by dynamically redistributing proteins between membrane-bound and cytosolic states, conserving their total numbers. This review presents a theoretical framework for…

Biological Physics · Physics 2025-12-16 Erwin Frey , Henrik Weyer

The formation of neuron networks is a process of fundamental importance for understanding the development of the nervous system and for creating biomimetic devices for tissue engineering and neural repair. The basic process that controls…

Cell Behavior · Quantitative Biology 2022-05-16 Ilya Yurchenko , Matthew Farwell , Donovan D. Brady , Cristian Staii

The motion of cells in tissues is an ubiquitous phenomenon. In particular, in monolayered cell colonies in vitro, pronounced collective behavior with swirl-like motion has been observed deep within a cell colony, while at the same time, the…

Biological Physics · Physics 2024-06-03 Debarati Sarkar , Gerhard Gompper , Jens Elgeti

Cellular cargo can be bound to cytoskeletal filaments by one or multiple active or passive molecular motors. Recent experiments have shown that the presence of auxiliary, nondriving motors, results in an enhanced processivity of the cargo,…

Biomolecules · Quantitative Biology 2019-03-27 Filippo Posta , Maria R. D'Orsogna , Tom Chou

Active forces occurring within cells can drive crucial biological processes that involve spontaneous organization and shape change, such as cell division. Motivated by recent in vitro experiments of nematic droplets of cytoskeletal…

Soft Condensed Matter · Physics 2021-02-16 Fabian Jan Schwarzendahl , Pierre Ronceray , Kimberly L. Weirich , Kinjal Dasbiswas

Numerical simulations of positively-buoyant suspension in a horizontally rotating cylinder were performed to study the formation of radial and axial patterns. The order parameter for low-frequency segregated phase and dispersed phase is…

Soft Condensed Matter · Physics 2018-04-11 Sudarshan Konidena , Jonghoon Lee , K. Anki Reddy , Anugrah Singh

Non-reciprocal interactions fueled by local energy consumption can be found in biological and synthetic active matter at scales where viscoelastic forces are important. Such systems can be described by "odd" viscoelasticity, which assumes…

Soft Condensed Matter · Physics 2023-10-31 Carlos Floyd , Aaron R. Dinner , Suriyanarayanan Vaikuntanathan