Deformation of crosslinked semiflexible polymer networks

Abstract

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 study a model system of crosslinked, stiff filaments in order to explore the connection between the microstructure under strain and the macroscopic response of cytoskeletal networks. We find two distinct regimes as a function primarily of crosslink density and filament rigidity: one characterized by affine deformation and one by non-affine deformation. We characterize the crossover between these two.

Typos fixed and some technical details clarified. To appear in Phys. Rev. Lett

References in corpus (2)

• Elasticity of Semiflexible Biopolymer Networks
• Force-Extension Relation and Plateau Modulus for Wormlike Chains

Cited by in corpus (96)

• Nonlinear Elasticity in Biological Gels
• Modeling semiflexible polymer networks
• Generic theory of active polar gels: a paradigm for cytoskeletal dynamics
• The origin of stiffening in cross-linked semiflexible networks
• Stress controls the mechanics of collagen networks
• Strain-induced alignment in collagen gels
• Physics of adherent cells
• Spontaneous flow transition in active polar gels
• Distinct regimes of elastic response and deformation modes of cross-linked cytoskeletal and semiflexible polymer networks
• Criticality and isostaticity in fiber networks
• A master relation defines the nonlinear viscoelasticity of single fibroblasts
• Strain-controlled criticality governs the nonlinear mechanics of fibre networks
• Nonaffine Correlations in Random Elastic Media
• Floppy modes and non-affine deformations in random fiber networks
• Nonaffine rubber elasticity for stiff polymer networks
• Disorder-assisted melting and the glass transition in amorphous solids
• Length-Controlled Elasticity in 3D Fiber Networks
• Stiffest Elastic Networks
• Visualizing the strain field in semiflexible polymer networks: strain fluctuations and nonlinear rheology of F-actin gels
• Crosslinked networks of stiff filaments exhibit negative normal stress
• Stiff Polymers, Foams and Fiber Networks
• Non-affine displacements in flexible polymer networks
• Effective medium theory of semiflexible filamentous networks
• The Glassy Wormlike Chain
• Collective dynamics effect transient subdiffusion of inert tracers in gel networks
• Algorithms for 3D rigidity analysis and a first order percolation transition
• Nonlinear effective medium theory of disordered spring networks
• Elastic regimes of sub-isostatic athermal fiber networks
• Compression stiffening of fibrous networks with stiff inclusions
• Microscopic origin of nonlinear non-affine deformation and stress overshoot in bulk metallic glasses
• Topological edge floppy modes in disordered fiber networks
• Redundancy and cooperativity in the mechanics of compositely crosslinked filamentous networks
• The mechanical response of semiflexible networks to localized perturbations
• Force distributions and force chains in random stiff fiber networks
• Non-affine displacements in crystalline solids in the harmonic limit
• Strain-driven criticality underlies nonlinear mechanics of fibrous networks
• The Role of Architecture in the Elastic Response of Semiflexible Polymer and Fiber Networks
• Nonlinear elasticity of semiflexible filament networks
• Filamin cross-linked semiflexible networks: Fragility under strain
• Elasticity of Filamentous Kagome Lattice
• Fluctuation-stabilized marginal networks and anomalous entropic elasticity
• Coherent potential approximation of random nearly isostatic kagome lattice
• Effective Medium Theory of Filamentous Triangular Lattice
• Effective medium approach for stiff polymer networks with flexible cross-links
• Elasticity of 3D networks with rigid filaments and compliant crosslinks
• Topological mechanics in quasicrystals
• Dynamical behavior of disordered spring networks
• Unfolding cross-linkers as rheology regulators in F-actin networks
• An integral-based spectral method for inextensible slender fibers in Stokes flow
• Viscoelastic and elastomeric active matter: Linear instability and nonlinear dynamics
• Stress-stabilized sub-isostatic fiber networks in a rope-like limit
• Non-local fluctuation correlations in active gels
• Loops versus lines and the compression stiffening of cells
• Transverse fluctuations of grafted polymers
• Finite size effects in critical fiber networks
• Poisson's ratio in composite elastic media with rigid rods
• Nonlinear Poisson effect governed by mechanical critical transition
• Mechanics and force transmission in soft composites of rods in elastic gels
• Soft random solids and their heterogeneous elasticity
• Non-affine deformation of semiflexible polymer and fiber networks
• Viscoelasticity of reversibly crosslinked networks of semiflexible polymers
• Criticality and mechanical enhancement in composite fibre networks
• Disorder, pre-stress and non-affinity in polymer 8-chain models
• Longitudinal Response of Confined Semiflexible Polymers
• Normal stresses, contraction, and stiffening in sheared elastic networks
• Rheology of two-dimensional F-actin networks associated with a lipid interface
• Normal stress anisotropy and marginal stability in athermal elastic networks
• Shear-induced phase transition and critical exponents in 3D fiber networks
• Stress relaxation through crosslink unbinding in cytoskeletal networks
• Universality in the morphology and mechanics of coarsening amyloid fibril networks
• Towards coarse-grained elasticity of single-layer Covalent Organic Frameworks
• Deformation propagation in responsive polymer network films
• Elastic heterogeneity of soft random solids
• Continuum elastic models for force transmissions in biopolymer gels
• Anomalous relation between in-plane and out-of-plane stiffnesses in 2D networked materials
• Importance of non-affine viscoelastic response in disordered fibre networks
• Structural Properties of Stiff Elastic Networks
• Local mechanical response in semiflexible polymer networks subjected to an axisymmetric prestress
• Wrinkling of Random and Regular Semiflexible Polymer Networks
• Hierarchical models of rigidity percolation
• The effect of internal and global modes on the radial distribution function of confined semiflexible polymers
• Mechanical criticality of fiber networks at a finite temperature
• Elasticity of randomly diluted honeycomb and diamond lattices with bending forces
• Stability and anomalous entropic elasticity of sub isostatic random-bond networks
• Landau theory of bending-to-stretching transition
• Phonons and elasticity in critically coordinated lattices
• Effective Medium Theory for Mechanical Phase Transitions of Fiber Networks
• Nonlinear Poisson effect in affine semiflexible polymer networks
• Rigid Graph Compression: Motif-based rigidity analysis for disordered fiber networks
• Geometry-Driven Mechanical Memory in a Random Fibrous Matrix
• The equilibrium fluctuations of a semiflexible filament cross linked into a network
• Elastic Anisotropy Governs the Decay of Cell-induced Displacements
• A microstructurally informed model for the mechanical response of three-dimensional actin networks
• Filament turnover is essential for continuous long range contractile flow in a model actomyosin cortex
• How Geometry Tames Disorder in Lattice Fracture
• Undulatory swimming in suspensions and networks of flexible filaments