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Soft biological tissues exhibit a remarkable resilience to large mechanical loads, a property which is associated with the strain stiffening capability of the biopolymer networks that structurally support the tissues. Yet, recent studies…

Soft Condensed Matter · Physics 2024-03-19 Jake Song , Elad Deiss-Yehiely , Serra Yesilata , Gareth H. McKinley

Disordered spring networks are a useful paradigm to examine macroscopic mechanical properties of amorphous materials. Here, we study the elastic behavior of under-constrained spring networks, i.e.\ networks with more degrees of freedom than…

Soft Condensed Matter · Physics 2023-01-18 Cheng-Tai Lee , Matthias Merkel

Disordered soft materials, such as fibrous networks in biological contexts exhibit a nonlinear elastic response. We study such nonlinear behavior with a minimal model for networks on lattice geometries with simple Hookian elements with…

Soft Condensed Matter · Physics 2015-03-13 M. Sheinman , C. P. Broedersz , F. C. MacKintosh

Shear strain localization into shear bands is associated with velocity weakening instabilities and earthquakes. Here, we simulate steady-state plane-shear flow of numerical granular material (gouge), confined between parallel surfaces. Both…

Soft Condensed Matter · Physics 2021-11-09 Stanislav Parez , Tereza Travnickova , Martin Svoboda , Einat Aharonov

Many biological tissues feature a heterogeneous network of fibers whose tensile and bending rigidity contribute substantially to these tissues' elastic properties. Rigidity percolation has emerged as a important paradigm for relating these…

Entangled states are ubiquitous amongst fibrous materials, whether naturally occurring (keratin, collagen, DNA) or synthetic (nanotube assemblies, elastane). A key mechanical characteristic of these systems is their ability to reorganise in…

Intermediate filaments are cytoskeletal proteins that are key regulators of cell mechanics, a role which is intrinsically tied to their hierarchical structure and their unique ability to accommodate large axial strains. However, how the…

Biological Physics · Physics 2019-03-26 Anders Aufderhorst-Roberts , Gijsje H. Koenderink

Fibrous networks such as collagen are common in physiological systems. One important function of these networks is to provide mechanical stability for cells and tissues. At physiological levels of connectivity, such networks would be…

Soft Condensed Matter · Physics 2021-08-09 Sadjad Arzash , Jordan L. Shivers , Fred C. MacKintosh

Disordered elastic networks provide a framework for describing a wide variety of physical systems, ranging from amorphous solids, through polymeric fibrous materials to confluent cell tissues. In many cases, such networks feature two widely…

Soft Condensed Matter · Physics 2024-09-02 Edan Lerner , Eran Bouchbinder

Through modelling and simulations we show that material instabilities play a dominant role in the mechanical behavior of the fibrous collagen Extracellular Matrix (ECM), as observed when the ECM is deformed by contractile biological cells.…

Disordered filamentous networks with compliant crosslinks exhibit a low linear elastic shear modulus at small strains, but stiffen dramatically at high strains. Experiments have shown that the elastic modulus can increase by up to three…

Biological Physics · Physics 2015-01-06 Knut M. Heidemann , Abhinav Sharma , Florian Rehfeldt , Christoph F. Schmidt , Max Wardetzky

The rheological properties of biological tissues are core to processes such as cancer metastasis, wound healing and embryo development. The emergence of tissue and organ structures during morphogenesis requires the precise formation of…

Soft Condensed Matter · Physics 2026-03-10 Aidan J. Nicholas , Suzanne M. Fielding

A two dimensional amorphous material is modeled as an assembly of mesoscopic elemental pieces coupled together to form an elastically coherent structure. Plasticity is introduced as the existence of different minima in the energy landscape…

Materials Science · Physics 2007-07-05 E. A. Jagla

Reinforced elastic sheets surround us in daily life, from concrete shell buildings to biological structures such as the arthropod exoskeleton or the venation network of dicotyledonous plant leaves. Natural structures are often highly…

Biological Physics · Physics 2021-01-27 Henrik Ronellenfitsch

Materials driven far from equilibrium can encode memories of past deformations through long-lived structural reorganisations. Such memory effects-reflecting parameters such as deformation direction, magnitude, and duration have been widely…

Soft Condensed Matter · Physics 2025-12-16 Abhishek Ghadai , Sayantan Majumdar

Cells actively probe and respond to the stiffness of their surroundings. Since mechanosensory cells in connective tissue are surrounded by a disordered network of biopolymers, their in vivo mechanical environment can be extremely…

Soft Condensed Matter · Physics 2016-08-05 Farzan Beroz , Louise M. Jawerth , Stefan Münster , David A. Weitz , Chase P. Broedersz , Ned S. Wingreen

Packings of macroscopic granular chains capture some of the essential aspects of molecular polymer systems and have been suggested as a paradigm to understand the physics on a molecular scale. However, here we demonstrate that the…

Soft Condensed Matter · Physics 2022-10-10 M. Reza Shaebani , Mehdi Habibi

The mechanical properties of biological tissues are strongly correlated to the specific distribution of their collagen fibers. Monitoring the dynamic reorganization of the collagen network during mechanical stretching is however a technical…

In vitro collagen networks and in silico fiber network models are typically used to represent extracellular matrix in tissues. Such networks exhibit the phenomenon of strain-stiffening, or an increase in elastic modulus with increasing…

Biological Physics · Physics 2025-03-19 Amanda Parker , J. M. Schwarz

Collagen fibrils are the most important structural component of tendons. Their crimped structure and parallel arrangement within the tendon lead to a distinctive non-linear stress-strain curve when a tendon is stretched. Microstructural…

Tissues and Organs · Quantitative Biology 2021-03-09 James Gregory , Tom Shearer , Andrew L. Hazel