Nonlinear Elasticity in Biological Gels
arXiv:cond-mat/0406016 · doi:10.1038/nature03521
Abstract
Unlike most synthetic materials, biological materials often stiffen as they are deformed. This nonlinear elastic response, critical for the physiological function of some tissues, has been documented since at least the 19th century, but the molecular structure and the design principles responsible for it are unknown. Current models for this response require geometrically complex ordered structures unique to each material. In this Article we show that a much simpler molecular theory accounts for strain stiffening in a wide range of molecularly distinct biopolymer gels formed from purified cytoskeletal and extracellular proteins. This theory shows that systems of semi-flexible chains such as filamentous proteins arranged in an open crosslinked meshwork invariably stiffen at low strains without the need for a specific architecture or multiple elements with different intrinsic stiffnesses.
23 pages, 5 figures, submitted to Nature
References in corpus (5)
Cited by in corpus (164)
- Fingerprinting Soft Materials: A Framework for Characterizing Nonlinear Viscoelasticity
- Modeling semiflexible polymer networks
- 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
- Criticality and isostaticity in fiber networks
- Cell contraction induces long-ranged stress stiffening in the extracellular matrix
- Steady-state hydrodynamic instabilities of active liquid crystals: Hybrid lattice Boltzmann simulations
- Broken detailed balance and non-equilibrium dynamics in living systems
- Depinning and nonequilibrium dynamic phases of particle assemblies driven over random and ordered substrates: a review
- Molecular motors robustly drive active gels to a critically connected state
- A master relation defines the nonlinear viscoelasticity of single fibroblasts
- Odd Viscosity and Odd Elasticity
- Biopolymers: life's mechanical scaffolds
- Non-equilibrium mechanics and dynamics of motor activated gels
- Mechanical cell-matrix feedback explains pairwise and collective endothelial cell behavior in vitro
- A unified framework for non-Brownian suspension flows and soft amorphous solids
- Enhanced reaction kinetics in biological cells
- Fiber networks amplify active stress
- Nonlinear viscoelasticity of metastable complex fluids
- Stress localization, stiffening and yielding in a model colloidal gel
- Under pressure: Hydrogel swelling in a granular medium
- Elastically driven, intermittent microscopic dynamics in soft solids
- Nonaffine rubber elasticity for stiff polymer networks
- Creep and Fracture of a Protein Gel under Stress
- A minimal-length approach unifies rigidity in under-constrained materials
- Mechanics of Interfacial Composite Materials
- Microbuckling of Fibrin Provides a Mechanism for Cell Mechanosensing
- Nonlinear elasticity of composite networks of stiff biopolymers with flexible linkers
- 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
- Nonlinear elasticity of the extracellular matrix fibers facilitates efficient inter-cellular mechanical communication
- Size-dependent rheology of type-I collagen networks
- Microstructural rearrangements and their rheological implications in a model Thixotropic Elasto-Visco-Plastic (TEVP) fluid
- The Glassy Wormlike Chain
- Porosity governs normals stresses in polymer gels
- Single cell mechanics: stress stiffening and kinematic hardening
- Microscopic dynamics and failure precursors of a gel under mechanical load
- Stress management in composite biopolymer networks
- Nonlinear effective medium theory of disordered spring networks
- Nonlinear elasticity of disordered fiber networks
- Elastic regimes of sub-isostatic athermal fiber networks
- Structure-property relationships via recovery rheology in viscoelastic materials
- Compression stiffening of fibrous networks with stiff inclusions
- Origin of slow stress relaxation in the cytoskeleton
- Topological edge floppy modes in disordered fiber networks
- A Model for Compression-Weakening Materials and the Elastic Fields due to Contractile Cells
- Topological defects in solids with odd elasticity
- Modeling the dynamics of a tracer particle in an elastic active gel
- Morphology of residually-stressed tubular tissues: Beyond the elastic multiplicative decomposition
- Inelastic mechanics of sticky biopolymer networks
- Scaling laws for the response of nonlinear elastic media with implications for cell mechanics
- Nonlinear viscoelasticity and generalized failure criterion for polymer gels
- Strain-driven criticality underlies nonlinear mechanics of fibrous networks
- Monte Carlo study of multiply crosslinked semiflexible polymer networks
- The Role of Architecture in the Elastic Response of Semiflexible Polymer and Fiber Networks
- Nonlinear elasticity of semiflexible filament networks
- Alignment and Nonlinear Elasticity in Biopolymer Gels
- Tuning Synthetic Semiflexible Networks by Bending Stiffness
- Fluctuation-stabilized marginal networks and anomalous entropic elasticity
- Elasticity of Filamentous Kagome Lattice
- Effects of crosslinks on motor-mediated filament organization
- Liquid demixing in elastic networks: cavitation, permeation, or size selection?
- Active Viscoelastic Matter: from Bacterial Drag Reduction to Turbulent Solids
- Effective Medium Theory of Filamentous Triangular Lattice
- Effective medium approach for stiff polymer networks with flexible cross-links
- Length scales and self-organization in dense suspension flows
- Elasticity of 3D networks with rigid filaments and compliant crosslinks
- Structural mechanics of filamentous cyanobacteria
- Mechanical and Systems Biology of Cancer
- Cavitation controls droplet sizes in elastic media
- Role of microscopic phase separation in gelation of aqueous gelatin solutions
- Buckling and force propagation along intracellular microtubules
- What Caging Force Cells Feel in 3D Hydrogels: A Rheological Perspective
- Effect of aging on the non-linear elasticity and memory formation in materials
- Spatial cytoskeleton organization supports targeted intracellular transport
- Micromechanical theory of strain-stiffening of biopolymer networks
- Semiflexible Filamentous Composites
- Statistical mechanical constitutive theory of polymer networks: The inextricable links between distribution, behavior, and ensemble
- Stress-stabilized sub-isostatic fiber networks in a rope-like limit
- Viscoelastic and elastomeric active matter: Linear instability and nonlinear dynamics
- Shear induced tuning and memory effects in colloidal gels of rods and spheres
- Active prestress leads to an apparent stiffening of cells through geometrical effects
- Normal stresses in semiflexible polymer hydrogels
- Deformation-induced topological transitions in mechanical metamaterials and their application to tunable non-linear stiffening
- Loops versus lines and the compression stiffening of cells
- Embedding Orthogonal Memories in a Colloidal Gel through Oscillatory Shear
- Dynamic stiffening of the flagellar hook
- Active matter in a viscoelastic environment
- The Role of Stickiness in the Rheology of Semiflexible Polymers
- Poisson's ratio in composite elastic media with rigid rods
- Active restructuring of cytoskeleton composites leads to increased mechanical stiffness, memory, and heterogeneity
- Mechanics and force transmission in soft composites of rods in elastic gels
- Non-affine deformation of semiflexible polymer and fiber networks
- Viscoelasticity of reversibly crosslinked networks of semiflexible polymers
- Elastic response of filamentous networks with compliant crosslinks
- Bubble dynamics for broadband microrheology of complex fluids
- Motor-free Contractility in Active Gels
- Far-from-equilibrium Sheared Colloidal Liquids: Disentangling Relaxation, Advection, and Shear-induced Diffusion
- Multi-component colloidal gels: interplay between structure and mechanical proprieties
- Anomalous elasticity of cellular tissue vertex model
- Disorder, pre-stress and non-affinity in polymer 8-chain models
- Microscopic interactions and emerging elasticity in model soft particulate gels
- Shear-induced phase transition and critical exponents in 3D fiber networks
- Exact solution for the force-extension relation of a semiflexible polymer under compression
- Tug-of-War in a Double-Nanopore System
- Stress relaxation through crosslink unbinding in cytoskeletal networks
- Mechanistic Model for Deformation of Polymer Nanocomposite Melts under Large Amplitude Shear
- Insights from Graph Theory on the Morphologies of Actomyosin Networks with Multilinkers
- Non-linear stress relaxation of transient-crosslinked biopolymer networks
- Reconfiguration, Interrupted Aging and Enhanced Dynamics of a Colloidal Gel using Photo-Switchable Active Doping
- Stretching Response of a Polymer Chain with Deformable Bonds
- Continuum elastic models for force transmissions in biopolymer gels
- Large scale zigzag pattern emerging from circulating active shakers
- Local mechanical response in semiflexible polymer networks subjected to an axisymmetric prestress
- Nonlinear mechanics of colloidal gels: creep, fatigue and shear-induced yielding
- Electroactive differential growth and delayed instability in accelerated healing tissues
- Mean-field interactions between living cells in linear and nonlinear elastic matrices
- Rheology of Wormlike Micellar Gels Formed By Long-Chained Zwitterionic Surfactants
- Scaling theory of critical strain-stiffening in disordered elastic networks
- Active gels, heavy tails, and the cytoskeleton
- Power Law Rheology of Folded Protein Hydrogels
- Off-lattice Monte Carlo Simulation of Supramolecular Polymer Architectures
- Buckling without bending morphogenesis: Nonlinearities, spatial confinement, and branching hierarchies
- Stability and anomalous entropic elasticity of sub isostatic random-bond networks
- Bimodal probability density characterizes the elastic behavior of a semiflexible polymer in 2D under compression
- In silico modeling of the rheological properties of covalently crosslinked collagen triple helices
- Cytoskeleton and Cell Motility
- Topology counts: force distributions in circular spring networks
- Simulating structured fluids with tensorial viscoelasticity
- rigidPy: Rigidity Analysis in Python
- Multicellular actomyosin cables in epithelia under external anisotropic stress
- Effective Medium Theory for Mechanical Phase Transitions of Fiber Networks
- Affine model of stress stiffening in semiflexible filament networks
- Elastic Response of Wire Frame Glasses. I. Two Dimensional Model
- In-silico modeling of the micromechanics of fibrous scaffolds and stiffness sensing by cells
- The non-equilibrium work relation. Thermodynamic analysis and microscopic foundations
- Nonlinear Poisson effect in affine semiflexible polymer networks
- Active patterning and asymmetric transport in a model actomyosin network
- The strain-stiffening critical exponents in polymer networks and their universality
- Revisiting the strain-induced softening behaviour in hydrogels
- A symplectic integration method for elastic filaments
- Combined force-torque spectroscopy of proteins by means of multiscale molecular simulation
- The Effects of the Interplay Between Motor and Brownian Forces on the Rheology of Active Gels
- Structuring polymer gels via catalytic reactions
- The equilibrium fluctuations of a semiflexible filament cross linked into a network
- Criticality enhances the reinforcement of disordered networks by rigid inclusions
- Bundling dynamics regulates the active mechanics and transport in carbon nanotube networks
- Elastic Anisotropy Governs the Decay of Cell-induced Displacements
- Geometry-Driven Mechanical Memory in a Random Fibrous Matrix
- A group theoretical approach to elasticity under constraints and predeformations
- Semi-analytical solutions for eigenvalue problems of chains and periodic graphs
- Many-body interactions between contracting living cells
- Shear shock evolution in incompressible soft solids
- Encoding Mechano-Memories in Actin Networks
- Nonlinear master relation in microscopic mechanical response of semiflexible biopolymer networks
- Network topology in soft gels: hardening and softening materials
- Mesoscale Elucidation of Biofilm Shear Behavior
- Nonlinearity In A Crosslinked Polyelectric Polypeptide
- Effect of adhesive interaction on strain stiffening and dissipation in granular gels undergoing yielding
- Coupled elasticity in soft solid foams
- Topology determines force distributions in one-dimensional random spring networks
- Variational approximation method for the long-range force transmission in biopolymer gels