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We derive the effective energy density of thin membranes of liquid crystal elastomers as the Gamma-limit of a widely used bulk model. These membranes can display fine-scale features both due to wrinkling that one expects in thin elastic…

Analysis of PDEs · Mathematics 2015-09-02 Pierluigi Cesana , Paul Plucinsky , Kaushik Bhattacharya

Recent experiments in various cell types have shown that two-dimensional tissues often display local nematic order, with evidence of extensile stresses manifest in the dynamics of topological defects. Using a mesoscopic model where tissue…

Soft Condensed Matter · Physics 2021-03-30 Farzan Vafa , Mark J. Bowick , Boris I. Shraiman , M. Cristina Marchetti

We formulate a relaxed linear elastic micromorphic continuum model with symmetric Cauchy force-stresses and curvature contribution depending only on the micro-dislocation tensor. Our relaxed model is still able to fully describe rotation of…

Mathematical Physics · Physics 2015-06-16 Patrizio Neff , Ionel-Dumitrel Ghiba , Angela Madeo , Luca Placidi , Giuseppe Rosi

Swimming is ubiquitous in nature and crucial for the survival of a wide range of organisms. The physics of swimming at the viscosity-dominated microscale and inertia-dominated macroscale is well studied. However, in between lies a…

Cellular membrane dynamics play an important role in a variety of physiological processes. However, due to the stringent light-coupling conditions required for exciting evanescent waves, label-free mapping of cellular membrane dynamics on…

Biological Physics · Physics 2024-10-22 Chaoyang Gong , Yu-Cheng Chen

The rheology of biological tissue plays an important role in many processes, from organ formation to cancer invasion. Here, we use a multi-phase field model of motile cells to simulate active microrheology within a tissue monolayer. When…

Soft Condensed Matter · Physics 2022-10-12 Austin Hopkins , Michael Chiang , Benjamin Loewe , Davide Marenduzzo , M. Cristina Marchetti

In a multicellular organism different cell types express a gene in different amounts. Samples from which gene expression levels can be measured typically contain a mixture of different cell types, the resulting measurements thus give only…

Quantitative Methods · Quantitative Biology 2017-08-09 Nico Riedel , Johannes Berg

Elastomers are viscoelastic materials and their properties significantly depend on the loading rate. The actual stress experienced by these materials is the sum of equilibrium and dissipative (inelastic) terms. At very low loading rates we…

Soft Condensed Matter · Physics 2018-03-14 K. A. Mokhireva , A. L. Svistkov

To go beyond the simple model for the fold as two flexible surfaces or faces linked by a crease that behaves as an elastic hinge, we carefully shape and anneal a crease within a polymer sheet and study its mechanical response. First, we…

Soft Condensed Matter · Physics 2018-08-16 Théo Jules , Frédéric Lechenault , Mokhtar Adda-Bedia

A molecular level analysis of segmental trajectories obtained from molecular dynamics simulations is used to obtain the full relaxation time spectrum in aging polymer glasses subject to three different deformation protocols. As in…

Soft Condensed Matter · Physics 2015-05-18 Mya Warren , Joerg Rottler

Cells within living soft biological tissues seem to promote the maintenance of a mechanical state within a defined range near a so-called set-point. This mechanobiological process is often referred to as mechanical homeostasis. During this…

Cell Behavior · Quantitative Biology 2021-09-23 Jonas F. Eichinger , Daniel Paukner , Roland C. Aydin , Wolfgang A. Wall , Jay D. Humphrey , Christian J. Cyron

This paper presents the biomechanical finite element models that have been developed in the framework of the computer-assisted maxillofacial surgery. After a brief overview of the continuous elastic modelling method, two models are…

We introduce an unsupervised motion-compensated reconstruction scheme for high-resolution free-breathing pulmonary MRI. We model the image frames in the time series as the deformed version of the 3D template image volume. We assume the…

Image and Video Processing · Electrical Eng. & Systems 2022-07-13 Qing Zou , Luis A. Torres , Sean B. Fain , Nara S. Higano , Alister J. Bates , Mathews Jacob

In this paper we present a dimensional reduction to obtain a one-dimensional model to analyze localized necking or bulging in a residually stressed circular cylindrical solid. The nonlinear theory of elasticity is first specialized to…

Soft Condensed Matter · Physics 2024-03-20 Yang Liu , Xiang Yu , Luis Dorfmann

We report the first measurements of the intrinsic strain fluctuations of living cells using a recently-developed tracer correlation technique along with a theoretical framework for interpreting such data in heterogeneous media with…

Soft Condensed Matter · Physics 2009-11-10 A. W. C. Lau , B. D. Hoffman , A. Davies , J. C. Crocker , T. C. Lubensky

A continuum description is built to characterize the stationary and transient deformations of confluent tissues subject to heterogeneous activities. By defining a coarse-grained texture matrix field to represent the shape and size of cells,…

Biological Physics · Physics 2023-08-10 Fernanda Pérez-Verdugo , Rodrigo Soto

The ubiquitous appearance of regions of localized deformation (shear bands) in different kinds of disordered materials under shear is studied in the context of a mesoscopic model of plasticity. The model may or may not include relaxational…

Soft Condensed Matter · Physics 2015-05-19 E. A. Jagla

The micromechanics of a variety of systems experiencing a structural arrest due to their high density could be unified by a thermodynamic framework governing their approach to 'jammed' configurations. The mechanism of supporting an applied…

Soft Condensed Matter · Physics 2007-05-23 Jasna Brujic , Sam F. Edwards , Ian Hopkinson , Hernan A. Makse

This paper examines the oscillatory behaviour of complex viscoelastic systems with power law-like relaxation behaviour. Specifically, we use the fractional Maxwell model, consisting of a spring and fractional dashpot in series, which…

Soft Condensed Matter · Physics 2017-04-05 R. H. Pritchard , E. M. Terentjev

From scaling arguments and numerical simulations, we investigate the properties of the generalized elastic model (GEM), that is used to describe various physical systems such as polymers, membranes, single-file systems, or rough interfaces.…

Statistical Mechanics · Physics 2013-08-28 Mohsen Ghasemi Nezhadhaghighi , Aleksei V. Chechkin , Ralf Metzler
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