Inelastic mechanics of sticky biopolymer networks
arXiv:1001.0907 · doi:10.1088/1367-2630/12/5/053024
Abstract
We propose a physical model for the nonlinear inelastic mechanics of sticky biopolymer networks with potential applications to inelastic cell mechanics. It consists in a minimal extension of the glassy wormlike chain (GWLC) model, which has recently been highly successful as a quantitative mathematical description of the viscoelastic properties of biopolymer networks and cells. To extend its scope to nonequilibrium situations, where the thermodynamic state variables may evolve dynamically, the GWLC is furnished with an explicit representation of the kinetics of breaking and reforming sticky bonds. In spite of its simplicity the model exhibits many experimentally established non-trivial features such as power-law rheology, stress stiffening, fluidization, and cyclic softening effects.
References in corpus (10)
- Nonlinear Elasticity in Biological Gels
- Chirality and Equilibrium Biopolymer Bundles
- Nonlinear elasticity of composite networks of stiff biopolymers with flexible linkers
- The Glassy Wormlike Chain
- Single cell mechanics: stress stiffening and kinematic hardening
- Micro- and Macrorheological Properties of Isotropically Cross-linked Actin Networks
- Tension dynamics in semiflexible polymers. Part I: Coarse-grained equations of motion
- Quantitative Tube Model for Semiflexible Polymer Solutions
- Tube Width Fluctuations in F-Actin Solutions
- Dynamic structure factor of a stiff polymer in a glassy solution
Cited by in corpus (10)
- Modeling semiflexible polymer networks
- The Role of Stickiness in the Rheology of Semiflexible Polymers
- Viscoelasticity of reversibly crosslinked networks of semiflexible polymers
- Stress relaxation through crosslink unbinding in cytoskeletal networks
- A minimal model for the inelastic mechanics of biopolymer networks and cells
- Universality in the morphology and mechanics of coarsening amyloid fibril networks
- Cooperative crosslink (un)binding in slowly driven bundles of semiflexible filaments
- Fluctuations and differential contraction during regeneration of Hydra vulgaris tissue toroids
- Rheology of fractal networks
- Crosslinked biopolymer bundles: crosslink reversibility leads to cooperative binding/unbinding phenomena