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Complex systems are commonly modeled using nonlinear dynamical systems. These models are often high-dimensional and chaotic. An important goal in studying physical systems through the lens of mathematical models is to determine when the…

Computational Geometry · Computer Science 2014-03-25 Jesse Berwald , Marian Gidea , Mikael Vejdemo-Johansson

Morphological trends in growing colonies of living cells are at the core of physiological and evolutionary processes. Using active gel equations, which include cell division, we show that shape changes during the growth can be regulated by…

Soft Condensed Matter · Physics 2016-07-27 Amin Doostmohammadi , Sumesh P. Thampi , Julia M. Yeomans

We use analytic arguments and numerical solutions of the continuum, active nematohydrodynamic equations to study how friction alters the behaviour of active nematics. Concentrating on the case where there is nematic ordering in the passive…

Soft Condensed Matter · Physics 2024-04-23 Mehrana Raeisian Nejad , Amin Doostmohammadi , Julia Mary Yeomans

Active matter is characterized by its ability to induce motion by self-generated stress. In the case of a solid, such motion can lead to shape transformations. The stress-generating components can be anisotropic endowing the material with…

Soft Condensed Matter · Physics 2022-05-16 D. J. G. Pearce , S. Gat , G. Livne , A. Bernheim-Groswasser , K. Kruse

We use active nematohydrodynamics to study the flow of an active fluid in a 3D microchannel, finding a transition between active turbulence and regimes where there is a net flow along the channel. We show that the net flow is only possible…

Soft Condensed Matter · Physics 2020-10-07 Santhan Chandragiri , Amin Doostmohammadi , Julia M. Yeomans , Sumesh P. Thampi

Tethered particle motion experiments are versatile single-molecule techniques enabling one to address in vitro the molecular properties of DNA and its interactions with various partners involved in genetic regulations. These techniques…

Biological Physics · Physics 2019-09-05 Manoel Manghi , Nicolas Destainville , Annaël Brunet

We develop a description of defect loops in three-dimensional active nematics based on a multipole expansion of the far-field director and show how this leads to a self-dynamics dependent on the loop's geometric type. The dipole term leads…

Soft Condensed Matter · Physics 2022-06-15 Alexander J. H. Houston , Gareth P. Alexander

Active living matter continuously creates and annihilates topological defects in a process that remains poorly understood. Here, we investigate these dynamics in two distinct active living systems: swarming bacteria and human bronchial…

We extend the continuum theories of active nematohydrodynamics to model a two-fluid mixture with separate velocity fields for each fluid component, coupled through a viscous drag. The model is used to study an active nematic fluid, mixed…

Soft Condensed Matter · Physics 2023-08-02 Saraswat Bhattacharyya , Julia M. Yeomans

Growth processes in many living organisms create thin, soft materials with an intrinsically hyperbolic geometry. These objects support novel types of mesoscopic defects - discontinuity lines for the second derivative and branch points -…

Soft Condensed Matter · Physics 2020-05-26 Amit Acharya , Shankar C. Venkataramani

Topological defects play a central role in the physics of many materials, including magnets, superconductors and liquid crystals. In active fluids, defects become autonomous particles that spontaneously propel from internal active stresses…

Soft Condensed Matter · Physics 2024-06-12 Suraj Shankar , Luca V. D. Scharrer , Mark J. Bowick , M. Cristina Marchetti

The use of embedded software is advancing in modern medical devices, so does its capabilities and complexity. This paradigm shift brings many challenges such as an increased rate of medical device failures due to software faults. In this…

Software Engineering · Computer Science 2017-06-21 Atif Mashkoor , Miklos Biro

We show that "dry" active nematics, e.g. collections of shaken elongated granular particles, exhibit large-scale spatiotemporal chaos made of interacting dense, ordered, band-like structures in a parameter region including the linear onset…

Soft Condensed Matter · Physics 2014-09-16 Sandrine Ngo , Anton Peshkov , Igor S. Aranson , Eric Bertin , Francesco Ginelli , Hugues Chaté

We use continuum simulations to study the impact of friction on the ordering of defects in an active nematic. Even in a frictionless system, +1/2 defects tend to align side-by-side and orient antiparallel reflecting their propensity to…

Soft Condensed Matter · Physics 2020-11-25 Kristian Thijssen , Mehrana R. Nejad , Julia M. Yeomans

Mathematical modelling allows us to concisely describe fundamental principles in biology. Analysis of models can help to both explain known phenomena, and predict the existence of new, unseen behaviours. Model analysis is often a complex…

Quantitative Methods · Quantitative Biology 2020-08-13 Mark Blyth , Ludovic Renson , Lucia Marucci

We use a continuum, two-fluid approach to study a mixture of two active nematic fluids. Even in the absence of thermodynamically-driven ordering, for mixtures of different activities we observe turbulent microphase separation, where domains…

Soft Condensed Matter · Physics 2025-02-03 Saraswat Bhattacharyya , Julia M. Yeomans

A continuum description is essential for understanding a variety of collective phenomena in active matter. However, building quantitative continuum models of active matter from first principles can be extremely challenging due to both the…

Soft Condensed Matter · Physics 2022-10-19 Matthew Golden , Roman Grigoriev , Jyothishraj Nambisan , Alberto Fernandez-Nieves

Active processes drive and guide biological dynamics across scales -- from subcellular cytoskeletal remodelling, through tissue development in embryogenesis, to population-level bacterial colonies expansion. In each of these, biological…

The properties of liquid crystals can be modelled using an order parameter which describes the variability of the local orientation of rod-like molecules. Defects in the director field can arise due to external factors such as applied…

Numerical Analysis · Mathematics 2019-10-08 Craig S. MacDonald , John A. Mackenzie , Alison Ramage

Topological defects are a ubiquitous phenomenon in diverse physical systems. In nematic liquid crystals (LCs), they are dynamic, physicochemically distinct, sensitive to stimuli, and are thereby promising for a range of applications.…

Soft Condensed Matter · Physics 2023-12-25 Shengzhu Yi , Hao Chen , Xinyu Wang , Miao Jiang , Bo Li , Qi-huo Wei , Rui Zhang