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Previous research on semiflexible polymers including cytoskeletal networks in cells has suggested the existence of distinct regimes of elastic response, in which the strain field is either uniform (affine) or non-uniform (non-affine) under…

软凝聚态物质 · 物理学 2009-11-11 D. A. Head , A. J. Levine , F. C. MacKintosh

We present a Landau type theory for the non-linear elasticity of biopolymer gels with a part of the order parameter describing induced nematic order of fibers in the gel. We attribute the non-linear elastic behavior of these materials to…

软凝聚态物质 · 物理学 2015-06-18 Jingchen Feng , Herbert Levine , Xiaoming Mao , Leonard M. Sander

The mechanical properties of tissues play an essential role for all tissue properties such as cell division, and differentiation or morphogenesis. Here, we study theoretically the rheology of 2-dimensional epithelial tissues described by a…

软凝聚态物质 · 物理学 2023-12-18 Doron Grossman , Jean-Francois Joanny

Models of tissue growth are now well established, in particular in relation to their applications to cancer. They describe the dynamics of cells subject to motion resulting from a pressure gradient generated by the death and birth of cells,…

偏微分方程分析 · 数学 2018-09-07 Piotr Gwiazda , Benoît Perthame , Agnieszka Świerczewska-Gwiazda

A two-dimensional lattice gas model is proposed. The ground state of this model with a fixed density is neither periodic nor quasi-periodic. It also depends on system size in an irregular manner. On the other hand, it is ordered in the…

统计力学 · 物理学 2015-05-19 Shin-ichi Sasa

Anchorage-dependent cells collect information on the mechanical properties of the environment through their contractile machineries and use this information to position and orient themselves. Since the probing process is anisotropic,…

软凝聚态物质 · 物理学 2007-05-23 I. B. Bischofs , S. A. Safran , U. S. Schwarz

Athermal models of disordered fibrous networks are highly useful for studying the mechanics of elastic networks composed of stiff biopolymers. The underlying network architecture is a key aspect that can affect the elastic properties of…

软凝聚态物质 · 物理学 2016-01-20 Albert James Licup , Abhinav Sharma , Fred C. MacKintosh

A constitutive relation between stress and strain relative to a reference state is the basic assumption of elasticity theory. However, in living matter, force generation is governed by motor molecule activity, which does not depend on…

软凝聚态物质 · 物理学 2026-03-17 Nikolas H. Claussen , Fridtjof Brauns , Boris I. Shraiman

The initiation of directional cell motion requires symmetry breaking that can happen both with or without external stimuli. During cell crawling, forces generated by the cytoskeleton and their transmission through mechanosensitive adhesions…

细胞行为 · 定量生物学 2023-06-02 Yuzhu Chen , David Saintillan , Padmini Rangamani

We study the response of a model micro-electrochemical cell to a large ac voltage of frequency comparable to the inverse cell relaxation time. To bring out the basic physics, we consider the simplest possible model of a symmetric binary…

流体动力学 · 物理学 2013-12-12 Laurits H. Olesen , Martin Z. Bazant , Henrik Bruus

Convergent extension of epithelial tissue is a key motif of animal morphogenesis. On a coarse scale, cell motion resembles laminar fluid flow; yet in contrast to a fluid, epithelial cells adhere to each other and maintain the tissue layer…

生物物理 · 物理学 2024-10-04 Nikolas H. Claussen , Fridtjof Brauns , Boris I. Shraiman

We apply a recently developed model of cytoskeletal force generation to study a cell intrinsic contractility, as well as its response to external loading. The model is based on a non-equilibrium thermodynamic treatment of the…

亚细胞过程 · 定量生物学 2015-06-19 Mirko Maraldi , Clara Valero , Krishna Garikipati

We employ a matrix-based solver for the linear rheology of fluid-immersed disordered spring networks to reveal four distinct dynamic response regimes. One regime - completely absent in the known vacuum response - exhibits coupled fluid flow…

软凝聚态物质 · 物理学 2019-12-04 David Head , Cornelis Storm

This study addresses the modelling of elastic bodies, particularly when the relaxed configuration is unknown or non-existent. We adopt the theory of initially stressed materials, incorporating the deformation gradient and stress state of…

软凝聚态物质 · 物理学 2024-11-28 M. Magri , D. Riccobelli

The elastic properties of a material with spherical voids of equal volume are analysed using a new model, with particular attention paid to the hexagonal close-packed and the face-centred cubic arrangement of voids. Void fractions well…

材料科学 · 物理学 2016-11-11 Sascha Heitkam , Wiebke Drenckhan , Denis Weaire , Jochen Froehlich

We investigate a continuum mechanical model for an adherent cell on two dimensional adhesive micropatterned substrates. The cell is modeled as an isotropic and homogeneous elastic material subject to uniform internal contractile stresses.…

生物物理 · 物理学 2013-12-30 Shiladitya Banerjee , Rastko Sknepnek , M. Cristina Marchetti

Tuning of active prestress e.g. through activity of molecular motors constitutes a powerful cellular tool to adjust cellular stiffness through nonlinear material properties. Understanding this tool is an important prerequisite for our…

软凝聚态物质 · 物理学 2018-08-24 Elisabeth Fischer-Friedrich

The vertex model is widely used to simulate the mechanical properties of confluent epithelia and other multicellular tissues. This inherently discrete framework allows a Cauchy stress to be attributed to each cell, and its symmetric…

组织与器官 · 定量生物学 2022-10-10 Oliver E. Jensen , Christopher K. Revell

A controllable soft solid is realised in vortex matter in a type II superconductor. The two-dimensional unit cell area can be varied by a factor of $10^4$ in the solid phase, without a change of crystal symmetry offering easy exploration of…

软凝聚态物质 · 物理学 2019-04-11 Jonathan S. Watkins , Nicola K. Wilkin

Active nematic models explain the topological defects and flow patterns observed in epithelial tissues, but the nature of active stress-whether it is extensile or contractile, a key parameter of the theory-is not well established…

软凝聚态物质 · 物理学 2025-11-11 Jan Rozman , Sumesh P. Thampi , Julia M. Yeomans