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Filamentous bio-materials such as fibrin or collagen networks exhibit an enormous stiffening of their elastic moduli upon large deformations. This pronounced nonlinear behavior stems from a significant separation between the stiffnesses…

Soft Condensed Matter · Physics 2019-05-21 Robbie Rens , Carlos Villarroel , Gustavo Düring , Edan Lerner

Tissues commonly consist of cells embedded within a fibrous biopolymer network. Whereas cell-free reconstituted biopolymer networks typically soften under applied uniaxial compression, various tissues, including liver, brain, and fat, have…

Bundles of polymer filaments are responsible for the rich and unique mechanical behaviors of many biomaterials, including cells and extracellular matrices. In fibrin biopolymers, whose nonlinear elastic properties are crucial for normal…

Soft living tissues like cartilage can be considered as biphasic materials comprised of a fibrous complex biopolymer network and a viscous background liquid. Here, we show by a combination of experiment and theoretical analysis that both…

Soft Condensed Matter · Physics 2019-10-02 Melle T. J. J. M. Punter , Bart E. Vos , Bela M. Mulder , Gijsje H. Koenderink

The rheological properties of fibrin networks have been of long-standing interest. As such there is a wealth of studies of their shear and tensile responses, but their compressive behavior remains unexplored. Here, by characterization of…

Soft Condensed Matter · Physics 2015-08-27 O. V. Kim , Xiaojun Liang , Rustem I. Litvinov , John W. Weisel , Mark S. Alber , Prashant K. Purohit

The mechanical properties of biological materials are spatially heterogeneous. Typical tissues are made up of a spanning fibrous extracellular matrix in which various inclusions, such as living cells, are embedded. While the influence of…

Soft Condensed Matter · Physics 2025-09-04 Jordan L. Shivers , Jingchen Feng , Fred C. MacKintosh

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

We present theoretical and experimental studies of the elastic response of fibrous networks subjected to uniaxial strain. Uniaxial compression or extension is applied to extracellular networks of fibrin and collagen using a shear rheometer…

The mechanical properties of the cell depend crucially on the tension of its cytoskeleton, a biopolymer network that is put under stress by active motor proteins. While the fibrous nature of the network is known to strongly affect the…

Soft Condensed Matter · Physics 2018-05-15 Pierre Ronceray , Chase P. Broedersz , Martin Lenz

We study the mechanical stiffening behavior in two-dimensional (2D) cross-linked networks of semiflexible biopolymer filaments under simple shear. Filamental constituents immersed in a fluid undergo thermally excited bending motions.…

Biological Physics · Physics 2007-05-23 T. Van Dillen , P. R. Onck , E. Van der Giessen

Soft composite solids, comprising discrete inclusions embedded within a compliant matrix, are emerging candidates for engineering synthetic tissues and soft robotic materials. Current strategies for controlling their nonlinear mechanics,…

Soft Condensed Matter · Physics 2026-04-23 Yiqiu Zhao , Deng Pan , Yiming Pang , Jonathan Barés , Chang Xu , Che Liu , Haitao Hu , Yuliang Jin , Qin Xu

Collagen is the most abundant extracellular-network-forming protein in animal biology and is important in both natural and artificial tissues, where it serves as a material of great mechanical versatility. This versatility arises from its…

Soft Condensed Matter · Physics 2009-07-13 D. Vader , A. Kabla , D. Weitz , L. Mahadevan

Biopolymer networks from the intracellular to tissue scale display high rigidity and tensile stress while having coordinations well below the normal threshold for mechanical rigidity. The elastic filaments in these networks are often…

Soft Condensed Matter · Physics 2024-11-15 Marco Aurelio Galvani Cunha , John C. Crocker , Andrea J. Liu

Active materials take advantage of their internal sources of energy to self-organize in an automated manner. This feature provides a novel opportunity to design micron-scale machines with minimal required control. However, self-organization…

Soft Condensed Matter · Physics 2021-01-22 Zijie Qu , Jialong Jiang , Heun Jin Lee , Rob Phillips , Shahriar Shadkhoo , Matt Thomson

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…

Soft Condensed Matter · Physics 2016-01-20 Albert James Licup , Abhinav Sharma , Fred C. MacKintosh

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…

Reconstituted filamentous actin networks with myosin motor proteins form active gels, in which motor proteins generate forces that drive the network far from equilibrium. This motor activity can also strongly affect the network elasticity;…

Soft Condensed Matter · Physics 2010-09-21 C. P. Broedersz , F. C. MacKintosh

Recent experiments have demonstrated that the nonlinear elasticity of in vitro networks of the biopolymer actin is dramatically altered in the presence of a flexible cross-linker such as the abundant cytoskeletal protein filamin. The basic…

Soft Condensed Matter · Physics 2015-05-13 C. P. Broedersz , C. Storm , F. C. MacKintosh

Disordered fibrous networks are ubiquitous in nature as major structural components of living cells and tissues. The mechanical stability of networks generally depends on the degree of connectivity: only when the average number of…

Biological Physics · Physics 2016-06-22 A. Sharma , A. J. Licup , R. Rens , M. Sheinman , K. A. Jansen , G. H. Koenderink , F. C. MacKintosh

Networks of filamentous proteins play a crucial role in cell mechanics. These cytoskeletal networks, together with various crosslinking and other associated proteins largely determine the (visco)elastic response of cells. In this letter we…

Disordered Systems and Neural Networks · Physics 2009-11-10 D. A. Head , A. J. Levine , F. C. MacKintosh
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