Rheology of Heterotypic Collagen Networks

Piechocka, Izabela K.; Oosten, Anne S. G. van; Breuls, Roel G.M.; Koenderink, Gijsje H.

doi:10.1021/bm200553x

Cited by 70 publications

(86 citation statements)

References 81 publications

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“…This is consistent with reports of an approximate quadratic concentration dependence on the linear modulus in reconstituted networks of collagen type I [23,33,40,41]. As can be seen in Fig.…”

Section: Strain Driven Criticalitysupporting

confidence: 93%

“…1(a) the threshold strain γ 0 for the onset of nonlinear response and eventual breakdown of K ∼κ is a function of network geometry and is insensitive toκ. As we show, this corresponds experimentally to γ 0 being insensitive to the total protein concentration, which is indeed consistent with several prior experimental studies of reconstituted networks of collagen type I [23,33,40,41]. Another important consequence of the computational model is that K becomes independent ofκ for large strains, implying that K ∼ ρ.…”

Section: Strain Driven Criticalitysupporting

confidence: 90%

“…We show that the equation accurately describes the stiffness of collagen networks with a single fit parameter. The excellent agreement of model predictions with the experiments provides strong evidence for criticality as the underlying mechanism of the well-known nonlinear mechanics of athermal fibrous networks such as collagen [23,33,40,41] and bundled actin [56][57][58].…”

Section: Discussionmentioning

confidence: 55%

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Strain-driven criticality underlies nonlinear mechanics of fibrous networks

et al. 2016

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Networks with only central force interactions are floppy when their average connectivity is below an isostatic threshold. Although such networks are mechanically unstable, they can become rigid when strained. It was recently shown that the transition from floppy to rigid states as a function of simple shear strain is continuous, with hallmark signatures of criticality [Sharma et al., Nature Phys. 12, 584 (2016)]. The nonlinear mechanical response of collagen networks was shown to be quantitatively described within the framework of such mechanical critical phenomenon. Here, we provide a more quantitative characterization of critical behavior in subisostatic networks. Using finite-size scaling we demonstrate the divergence of strain fluctuations in the network at well-defined critical strain. We show that the characteristic strain corresponding to the onset of strain stiffening is distinct from but related to this critical strain in a way that depends on critical exponents. We confirm this prediction experimentally for collagen networks. Moreover, we find that the apparent critical exponents are largely independent of the spatial dimensionality. With subisostaticity as the only required condition, strain-driven criticality is expected to be a general feature of biologically relevant fibrous networks.

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Section: Strain Driven Criticalitysupporting

confidence: 93%

Section: Strain Driven Criticalitysupporting

confidence: 90%

Section: Discussionmentioning

confidence: 55%

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Strain-driven criticality underlies nonlinear mechanics of fibrous networks

et al. 2016

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“…If bending dominates, one can expect, for instance, a softer network response than for purely affine deformations, as well as a different scaling of G with the concentration c (Broedersz et al, 2012;Kroy and Frey, 1996;Satcher Jr and Dewey Jr, 1996). Recent evidence seems to point in this direction for some systems Piechocka et al, 2011;Stein et al, 2011), and the affine state may even be considered to be unstable (Heussinger and Frey, 2006b). This leaves us now with the question: when should we expect this model to break down and what are the signatures of a network response that is dominated by nonaffine deformations?…”

Section: Nonaffine Approaches For Disordered Fiber Networkmentioning

confidence: 99%

Modeling semiflexible polymer networks

2014

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Here, we provide an overview of theoretical approaches to semiflexible polymers and their networks. Such semiflexible polymers have large bending rigidities that can compete with the entropic tendency of a chain to crumple up into a random coil. Many studies on semiflexible polymers and their assemblies have been motivated by their importance in biology. Indeed, crosslinked networks of semiflexible polymers form a major structural component of tissue and living cells. Reconstituted networks of such biopolymers have emerged as a new class of biological soft matter systems with remarkable material properties, which have spurred many of the theoretical developments discussed here. Starting from the mechanics and dynamics of individual semiflexible polymers, we review the physics of semiflexible bundles, entangled solutions and disordered cross-linked networks. Finally, we discuss recent developments on marginally stable fibrous networks, which exhibit critical behavior similar to other marginal systems such as jammed soft matter.

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“…At large strains, the modulus of the polymer increases greatly (11,12), a phenomenon called "strain hardening," which may be important biologically because fibrin or collagen polymers will be compliant at normal strain levels and then become stiffer at larger deformations that could otherwise threaten the integrity of these materials. Structural changes underlying the elastic properties of fibrin and collagen polymers occur at different, yet interconnected, spatial levels: namely the molecular level, individual fibers, fiber network, and macroscopic (5,13,14).…”

mentioning

confidence: 99%