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.

28 pages, 2 figures

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Cited by in corpus (180)

• 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
• Taming active turbulence with patterned soft interfaces
• Theories of Binary Fluid Mixtures: From Phase-Separation Kinetics to Active Emulsions
• Spontaneous Circulation of Confined Active Suspensions
• 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
• Active Gel Model of Amoeboid Cell Motility
• Birth, Death and Flight: A Theory of Malthusian Flocks
• 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
• From cells to tissue: A continuum model of epithelial mechanics
• Continuum Description of the Cytoskeleton: Ring Formation in the Cell Cortex
• Self-Aligning Polar Active Matter
• Contractile and chiral activities co-determine the helicity of swimming droplet trajectories
• Spontaneous motion and deformation of a self-propelled droplet
• Actively stressed marginal networks
• Actively crosslinked microtubule networks: mechanics, dynamics and filament sliding
• Critical Phenomenon of the Order-Disorder Transition in Incompressible Flocks
• Mechanical response of active gels
• Negative stiffness and modulated states in active nematics
• Active dynamics of tissue shear flow
• Swarming in the Dirt: Ordered Flocks with Quenched Disorder
• Polar Patterns in Active Fluids
• Mechanics of motility initiation and motility arrest in crawling cells
• 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
• Substrate rigidity deforms and polarizes active gels
• Mechanical behavior of multi-cellular spheroids under osmotic compression
• Nonlinear competition between asters and stripes in filament-motor-systems
• Rigidity sensing explained by active matter theory
• 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
• Stress reorganisation and response in active solids
• Dynamics and interactions of active rotors
• Compatibility between itinerant synaptic receptors and stable postsynaptic structure
• Active polar fluid flow in finite droplets
• Nonequilibrium polarity-induced mechanism for chemotaxis: emergent Galilean symmetry and exact scaling exponents
• Extended dynamical density functional theory for colloidal mixtures with temperature gradients
• 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
• Computational modeling of active deformable membranes embedded in 3D flows
• Non-local fluctuation correlations in active gels
• Continuum theory of memory effect in crack patterns of drying pastes
• Shear flow induced isotropic to nematic transition in a suspension of active filaments
• 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
• Emergence of epithelial cell density waves
• A design framework for actively crosslinked filament networks
• Fluidization and Active Thinning by Molecular Kinetics in Active Gels
• The Phase Synchronized State of Oriented Active Fluids
• Morphodynamics of Active Nematic Fluid Surfaces
• Microscopic basis for pattern formation and anomalous transport in two-dimensional active gels
• Synchronisation and liquid crystalline order in soft active fluids
• Stochastic dynamics of chemotactic colonies with logistic growth
• A novel nonequilibrium state of matter: a $d=4-\epsilon$ expansion study of Malthusian flocks
• Polarity patterns of stress fibers
• Tug-of-war in motility assay experiments
• Nonreciprocity induces resonances in two-field Cahn-Hilliard model
• Viscous propulsion in active transversely-isotropic media
• Cell growth, division and death in cohesive tissues: a thermodynamic approach
• Scaling regimes of active turbulence with external dissipation
• Spatio-temporal dynamics of an active, polar, viscoelastic ring
• Contraction of cross-linked actomyosin bundles
• Spontaneous flow instabilities of active polar fluids in three dimensions
• Poissonian cellular Potts models reveal nonequilibrium kinetics of cell sorting
• Anchoring-driven spontaneous rotations in active gel droplets
• Maximal fluctuations of confined actomyosin gels: dynamics of the cell nucleus
• Thermodynamic Control of Activity Patterns in Cytoskeletal Networks
• Collective durotaxis of cohesive cell clusters on a stiffness gradient
• Chemo-mechanical model of a cell as a stochastic active gel
• Fiber plucking by molecular motors yields large emergent contractility in stiff biopolymer networks
• Mechanical signaling via nonlinear wavefront propagation in a mechanically-excitable medium
• 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
• Immersed Boundary Simulations of Active Fluid Droplets
• Stability of the interface of an isotropic active fluid
• Thin film models for active gels
• Soft inclusion in a confined fluctuating active gel
• Permeation Instabilities in Active, Polar Gels
• How crosslink numbers shape the large-scale physics of cytoskeletal materials
• Defect turbulence in a dense suspension of polar, active swimmers
• Inertia drives concentration-wave turbulence in swimmer suspensions
• Active gel model for one-dimensional cell migration coupling actin flow and adhesion dynamics
• Instabilities and diffusion in a hydrodynamic model of a fluid membrane coupled to a thin active fluid layer
• Nonlinear spontaneous flow instability in active nematics
• Optogenetic control of intracellular flows and cell migration: a comprehensive mathematical analysis with a minimal active gel model
• Shaking-induced motility in suspensions of soft active particles
• Energetics of Cytoskeletal Gel Contraction
• Swarming bottom feeders: Flocking at solid-liquid interfaces
• Generic instabilities in a fluid membrane coupled to a thin layer of ordered active polar fluid
• Hydrodynamic theory of chiral angular momentum generation in metals
• Active nematic gels as active relaxing solids
• Cytoskeleton and Cell Motility
• Dynamics and stability of contractile actomyosin ring in the cell
• Incompressible polar active fluids with quenched disorder in dimensions $d>2$
• Role of interfacial friction for flow instabilities in a thin polar ordered active fluid layer
• 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
• 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
• Collective dynamics of active filament complexes
• Boundary-induced orientation of dynamic filament networks and vesicle agglomerations
• Fluctuations and symmetries in two-dimensional active gels
• Shape Transitions in Network Model of Active Elastic Shells
• Driven diffusive systems of active filament bundles
• Active Lévy Matter: Anomalous Diffusion, Hydrodynamics and Linear Stability
• Resource Letter: Bio-molecular Nano-machines: where Physics, Chemistry, Biology and Technology meet
• Hydrodynamic instabilities, waves and turbulence in spreading epithelia
• Influences of transversely-isotropic rheology and translational diffusion on the stability of active suspensions
• Active viscoelastic nematics with partial degree of order
• Initiation of motility on a compliant substrate
• Mechanics and thermodynamics of contractile entropic biopolymer networks
• Active gel theory for cell migration with two myosin isoforms
• Spontaneous flow created by active topological defects
• Distributed model order reduction of a model for microtubule-based cell polarization using HAPOD
• Thin Films of Chiral Motors
• Dynamics of a stiff biopolymer in an actively contractile background: buckling, stiffening and negative dissipation
• 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
• The stress tensor of dilute active colloidal suspensions
• Dynamical arrest in active nematic turbulence
• Mesoscopic formulas of linear and angular momentum fluxes
• Contraction of polymer gels created by the activity of molecular motors
• A Conservative Finite Element ALE Scheme for Mass-Conserving Reaction-Diffusion Equations on Evolving Two-Dimensional Domains