Generic theory of active polar gels: a paradigm for cytoskeletal dynamics

Abstract

We develop a general theory for active viscoelastic materials made of polar filaments. This theory is motivated by the dynamics of the cytoskeleton. The continuous consumption of a fuel generates a non equilibrium state characterized by the generation of flows and stresses. Our theory can be applied to experiments in which cytoskeletal patterns are set in motion by active processes such as those which are at work in cells.

arXiv comment28 pages, 2 figures

References in corpus (13)

• Hydrodynamic fluctuations and instabilities in ordered suspensions of self-propelled particles
• Rheology of Active-Particle Suspensions
• Elasticity of Stiff Polymer Networks
• Deformation of crosslinked semiflexible polymer networks
• Nonequilibrium Fluctuations, Travelling Waves, and Instabilities in Active Membranes
• Organization and instabilities of entangled active polar filaments
• Actively Contracting Bundles of Polar Filaments
• Active Membrane Fluctuations Studied by Micropipet Aspiration
• Dynamic concentration of motors in microtubule arrays
• Macroscopic equations for pattern formation in mixtures of microtubules and motors
• Self-organization and Mechanical Properties of Active Filament Bundles
• Self-organized Pattern Formation in Motor-Microtubule Mixtures
• Motion of an Adhesive Gel in a Swelling Gradient: a Mechanism for Cell Locomotion

Cited by in corpus (181)

• The Mechanics and Statistics of Active Matter
• Sedimentation of active colloidal suspensions
• Spontaneous flow transition in active polar gels
• Steady-state hydrodynamic instabilities of active liquid crystals: Hybrid lattice Boltzmann simulations
• Active Turbulence
• Tuned, driven, and active soft matter
• Nonequilibrium Physics in Biology
• Defect dynamics in active nematics
• Active wetting of epithelial tissues
• Fluctuations and Pattern Formation in Self-Propelled Particles
• Patterning active materials with addressable soft interfaces
• Non-equilibrium mechanics and dynamics of motor activated gels
• Scaling of Traction Forces with Size of Cohesive Cell Colonies
• Turbulent dynamics of epithelial cell cultures
• Defect-mediated morphologies in growing cell colonies
• Dense active matter model of motion patterns in confluent cell monolayers
• Pushing off the walls: a mechanism of cell motility in confinement
• Contractile units in disordered actomyosin bundles arise from F-actin buckling
• Shearing active gels close to the isotropic-nematic transition
• A Reanalysis of the Hydrodynamic Theory of Fluid, Polar-Ordered Flocks
• Spontaneous Circulation of Confined Active Suspensions
• Theories of Binary Fluid Mixtures: From Phase-Separation Kinetics to Active Emulsions
• Taming active turbulence with patterned soft interfaces
• Mechanics of active surfaces
• Propagating stress waves during epithelial expansion
• Spontaneous flow states in active nematics: a unified picture
• Generic phase diagram of active polar films
• Universal scaling of active nematic turbulence
• Intracellular transport driven by cytoskeletal motors: General mechanisms and defects
• Determining physical properties of the cell cortex
• Large-scale chaos and fluctuations in active nematics
• Nonlinear dynamics and rheology of active fluids: simulations in two dimensions
• Rheology of Active Filament Solutions
• Survival of the aligned: ordering of the plant cortical microtubule array
• Collective dynamics of actomyosin cortex endow cells with intrinsic mechanosensing properties
• Hydrodynamics of isotropic and liquid crystalline active polymer solutions
• Active Fingering Instability in Tissue Spreading
• Birth, Death and Flight: A Theory of Malthusian Flocks
• Active Gel Model of Amoeboid Cell Motility
• Viscous Fingering-like Instability of Cell Fragments
• Contractile stresses in cohesive cell layers on finite-thickness substrates
• Nonequilibrium Statistical Mechanics of Self-propelled Hard Rods
• Origins and diagnostics of the nonequilibrium character of active systems
• Requirements for contractility in disordered cytoskeletal bundles
• Topological localization in out-of-equilibrium dissipative systems
• A model for the orientational ordering of the plant microtubule cortical array
• Surprising mappings of 2D polar active fluids to 2D soap and 1D sandblasting
• Continuum Description of the Cytoskeleton: Ring Formation in the Cell Cortex
• From cells to tissue: A continuum model of epithelial mechanics
• Contractile and chiral activities co-determine the helicity of swimming droplet trajectories
• Self-Aligning Polar Active Matter
• Spontaneous motion and deformation of a self-propelled droplet
• Actively stressed marginal networks
• Actively crosslinked microtubule networks: mechanics, dynamics and filament sliding
• Mechanical response of active gels
• Critical Phenomenon of the Order-Disorder Transition in Incompressible Flocks
• Active dynamics of tissue shear flow
• Negative stiffness and modulated states in active nematics
• Swarming in the Dirt: Ordered Flocks with Quenched Disorder
• Mechanics of motility initiation and motility arrest in crawling cells
• Polar Patterns in Active Fluids
• A mechanism for cell motility by active polar gels
• Understanding Collective Dynamics of Soft Active Colloids by Binary Scattering
• Spontaneous waves in muscle fibres
• Instabilities and Oscillations in Isotropic Active Gels
• A viscous active shell theory of the cell cortex
• The geometry of thresholdless active flow in nematic microfluidics
• Nonlinear competition between asters and stripes in filament-motor-systems
• Rigidity sensing explained by active matter theory
• Mechanical behavior of multi-cellular spheroids under osmotic compression
• Substrate rigidity deforms and polarizes active gels
• Hydrodynamic instabilities in active cholesteric liquid crystals
• Active cholesterics: odder than odd elasticity
• Hydrodynamic Theory of Flocking in the Presence of Quenched Disorder
• Integer topological defects of cell monolayers -- mechanics and flows
• Dynamics and interactions of active rotors
• Stress reorganisation and response in active solids
• Compatibility between itinerant synaptic receptors and stable postsynaptic structure
• Active polar fluid flow in finite droplets
• Extended dynamical density functional theory for colloidal mixtures with temperature gradients
• Nonequilibrium polarity-induced mechanism for chemotaxis: emergent Galilean symmetry and exact scaling exponents
• Growth, collapse, and stalling in a mechanical model for neurite motility
• Motility of active fluid drops on surfaces
• Gliding filament system giving both orientational order and clusters in collective motion
• A Critical Assessment of the Boltzmann Approach for Active Systems
• Instabilities, motion and deformation of active fluid droplets
• Optimality of contraction-driven crawling
• Hydraulic and electric control of cell spheroids
• Oscillatory fluid flow drives scaling of contraction wave with system size
• Shear-induced first-order transition in polar liquid crystals
• Thin-Film Modelling of Resting and Moving Active Droplets
• Metastability of Constant-Density Flocks
• Shear flow induced isotropic to nematic transition in a suspension of active filaments
• Continuum theory of memory effect in crack patterns of drying pastes
• Computational modeling of active deformable membranes embedded in 3D flows
• Non-local fluctuation correlations in active gels
• Emergence of epithelial cell density waves
• Moving, reproducing, and dying beyond Flatland: Malthusian flocks in dimensions $d>2$
• Inertia drives a flocking phase transition in viscous active fluids
• Mechanochemical action of the dynamin protein
• Rheology of active polar emulsions: from linear to unidirectional and unviscid flow, and intermittent viscosity
• A design framework for actively crosslinked filament networks
• Fluidization and Active Thinning by Molecular Kinetics in Active Gels
• Microscopic basis for pattern formation and anomalous transport in two-dimensional active gels
• The Phase Synchronized State of Oriented Active Fluids
• Morphodynamics of Active Nematic Fluid Surfaces
• Synchronisation and liquid crystalline order in soft active fluids
• A novel nonequilibrium state of matter: a $d=4-\epsilon$ expansion study of Malthusian flocks
• Stochastic dynamics of chemotactic colonies with logistic growth
• Tug-of-war in motility assay experiments
• Polarity patterns of stress fibers
• Nonreciprocity induces resonances in two-field Cahn-Hilliard model
• Scaling regimes of active turbulence with external dissipation
• Cell growth, division and death in cohesive tissues: a thermodynamic approach
• Viscous propulsion in active transversely-isotropic media
• Spatio-temporal dynamics of an active, polar, viscoelastic ring
• Contraction of cross-linked actomyosin bundles
• Thermodynamic Control of Activity Patterns in Cytoskeletal Networks
• Anchoring-driven spontaneous rotations in active gel droplets
• Maximal fluctuations of confined actomyosin gels: dynamics of the cell nucleus
• Poissonian cellular Potts models reveal nonequilibrium kinetics of cell sorting
• Spontaneous flow instabilities of active polar fluids in three dimensions
• Collective durotaxis of cohesive cell clusters on a stiffness gradient
• Chemo-mechanical model of a cell as a stochastic active gel
• Large density expansion of a hydrodynamic theory for self-propelled particles
• Cell motility: a viscous fingering analysis of active gels
• Enhanced orientational ordering induced by active yet isotropic bath
• Fiber plucking by molecular motors yields large emergent contractility in stiff biopolymer networks
• Mechanical signaling via nonlinear wavefront propagation in a mechanically-excitable medium
• Stability of the interface of an isotropic active fluid
• Immersed Boundary Simulations of Active Fluid Droplets
• Thin film models for active gels
• Inertia drives concentration-wave turbulence in swimmer suspensions
• Active gel model for one-dimensional cell migration coupling actin flow and adhesion dynamics
• Soft inclusion in a confined fluctuating active gel
• Defect turbulence in a dense suspension of polar, active swimmers
• Permeation Instabilities in Active, Polar Gels
• How crosslink numbers shape the large-scale physics of cytoskeletal materials
• Nonlinear spontaneous flow instability in active nematics
• Instabilities and diffusion in a hydrodynamic model of a fluid membrane coupled to a thin active fluid layer
• Energetics of Cytoskeletal Gel Contraction
• Active nematic gels as active relaxing solids
• Shaking-induced motility in suspensions of soft active particles
• Hydrodynamic theory of chiral angular momentum generation in metals
• Swarming bottom feeders: Flocking at solid-liquid interfaces
• Optogenetic control of intracellular flows and cell migration: a comprehensive mathematical analysis with a minimal active gel model
• Generic instabilities in a fluid membrane coupled to a thin layer of ordered active polar fluid
• Cytoskeleton and Cell Motility
• Role of interfacial friction for flow instabilities in a thin polar ordered active fluid layer
• Dynamics and stability of contractile actomyosin ring in the cell
• Incompressible polar active fluids with quenched disorder in dimensions $d>2$
• Hydrodynamic theory of flocking at a solid-liquid interface: long range order and giant number fluctuations
• Active-gel Theory for Multicellular Migration of Polar Cells in the Extra-cellular Matrix
• Network Model of Active Fluctuations of Thin Elastic Shells Swollen by Hydrostatic Pressure
• Ordering kinetics in active polar fluid
• Self-propulsion of an active polar drop
• Shape Transitions in Network Model of Active Elastic Shells
• Fluctuations and symmetries in two-dimensional active gels
• Collective dynamics of active filament complexes
• Boundary-induced orientation of dynamic filament networks and vesicle agglomerations
• Driven diffusive systems of active filament bundles
• Active Lévy Matter: Anomalous Diffusion, Hydrodynamics and Linear Stability
• Spontaneous flow created by active topological defects
• Thin Films of Chiral Motors
• Distributed model order reduction of a model for microtubule-based cell polarization using HAPOD
• Initiation of motility on a compliant substrate
• Active viscoelastic nematics with partial degree of order
• Mechanics and thermodynamics of contractile entropic biopolymer networks
• Influences of transversely-isotropic rheology and translational diffusion on the stability of active suspensions
• Active gel theory for cell migration with two myosin isoforms
• Hydrodynamic instabilities, waves and turbulence in spreading epithelia
• Dynamics of a stiff biopolymer in an actively contractile background: buckling, stiffening and negative dissipation
• Resource Letter: Bio-molecular Nano-machines: where Physics, Chemistry, Biology and Technology meet
• A framework for modeling cells spreading, motility and the relocation of proteins on advecting lipid membranes
• Model of inverse bleb growth explains giant vacuole dynamics during cell mechanoadaptation
• Contraction of polymer gels created by the activity of molecular motors
• The stress tensor of dilute active colloidal suspensions
• Dynamical arrest in active nematic turbulence
• A Conservative Finite Element ALE Scheme for Mass-Conserving Reaction-Diffusion Equations on Evolving Two-Dimensional Domains
• Curvature-Driven Density and Fluctuations in Interacting AOUPs under Confinement
• Mesoscopic formulas of linear and angular momentum fluxes