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A model for polar filaments interacting via molecular motor complexes is investigated which exhibits bifurcations to spatial patterns. It is shown that the homogeneous distribution of filaments, such as actin or microtubules, may become…

Soft Condensed Matter · Physics 2007-05-23 Falko Ziebert , Walter Zimmermann

We simulate the nonlocal Stokesian hydrodynamics of an elastic filament which is active due a permanent distribution of stresslets along its contour. A bending instability of an initially straight filament spontaneously breaks flow symmetry…

Motivated by experimental results on the interplay between molecular motors and tau proteins, we extend lattice-based models of intracellular transport to include a second species of particle which locally influences the motor-filament…

Subcellular Processes · Quantitative Biology 2010-04-27 H. Grzeschik , R. J. Harris , L. Santen

Active matter systems evade the constraints of thermal equilibrium, leading to the emergence of intriguing collective behavior. A paradigmatic example is given by motor-filament mixtures, where the motion of motor proteins drives alignment…

Soft Condensed Matter · Physics 2024-09-11 Filippo De Luca , Ivan Maryshev , Erwin Frey

Molecular motors interacting with cytoskeletal filaments undergo peculiar random walks consisting of alternating sequences of directed movements along the filaments and diffusive motion in the surrounding solution. An ensemble of motors is…

Statistical Mechanics · Physics 2007-05-23 Theo M. Nieuwenhuizen , Stefan Klumpp , Reinhard Lipowsky

The term active nematics designates systems in which apolar elongated particles spend energy to move randomly along their axis and interact by inelastic collisions in the presence of noise. Starting from a simple Vicsek-style model for…

Statistical Mechanics · Physics 2014-06-17 Eric Bertin , Hugues Chaté , Francesco Ginelli , Shradha Mishra , Anton Peshkov , Sriram Ramaswamy

The movement of motor particles consisting of one or several molecular motors bound to a cargo particle is studied theoretically. The particles move on patterns of immobilized filaments. Several patterns are described for which the motor…

Statistical Mechanics · Physics 2009-11-11 Stefan Klumpp , Reinhard Lipowsky

In active matter systems, self-propelled particles can self-organize to undergo collective motion, leading to persistent dynamical behavior out of equilibrium. In cells, cytoskeletal filaments and motor proteins self-organize into complex…

Soft Condensed Matter · Physics 2020-05-19 Jeffrey M. Moore , Tyler N. Thompson , Matthew A. Glaser , Meredith D. Betterton

The collective action of actively contractile units embedded in elastic biopolymer networks plays a crucial role in regulating the network's macroscopic mechanical response. Here, we investigate how the macroscopic boundary stress in model…

Soft Condensed Matter · Physics 2026-03-25 Abhinav Kumar , David A. Quint , Kinjal Dasbiswas

Active nematics, in their pure form, have demonstrated a plethora of dynamic and steady state behaviors, including large-scale dynamic structures, collective flows, and intricate multi-spatial temporal dynamics. This complexity further…

Statistical Mechanics · Physics 2024-07-09 Partha Sarathi Mondal , Pawan Kumar Mishra , Tamás Vicsek , Shradha Mishra

Dynamically crosslinked semiflexible biopolymers such as the actin cytoskeleton govern the mechanical behavior of living cells. Semiflexible biopolymers nonlinearly stiffen in response to mechanical loads, whereas the crosslinker dynamics…

Soft Condensed Matter · Physics 2019-06-05 Yuval Mulla , F. C. MacKintosh , Gijsje H. Koenderink

In this work we study the assisted translocation of a polymer across a membrane nanopore, inside which a molecular motor exerts a force fuelled by the hydrolysis of ATP molecules. In our model the motor switches to its active state for a…

Soft Condensed Matter · Physics 2018-03-26 A. Fiasconaro , J. J. Mazo , F. Falo

Motor enzymes are remarkable molecular machines that use the energy derived from the hydrolysis of a nucleoside triphosphate to generate mechanical movement, achieved through different steps that constitute their kinetic cycle. These…

Subcellular Processes · Quantitative Biology 2014-09-05 Luca Ciandrini , M. Carmen Romano , A. Parmeggiani

The necking instability is a precursor to tensile failure and rupture of materials. A quasistatically loaded free-standing uniaxial specimen typically exhibits necking at a single location, corresponding to a long wavelength bifurcation…

Soft Condensed Matter · Physics 2023-01-04 Jian Li , Hannah Varner , Tal Cohen

Many biological fluids are composed of suspended polymers immersed in a viscous fluid. A prime example is mucus, where the polymers are also known to form a network. While the presence of this microstructure is linked with an overall…

Fluid Dynamics · Physics 2024-10-10 Adam K. Townsend , Eric E. Keaveny

Cytoskeletal networks of biopolymers are cross-linked by a variety of proteins. Experiments have shown that dynamic cross-linking with physiological linker proteins leads to complex stress relaxation and enables network flow at long times.…

A remarkable feat of active matter physics is that systems as diverse as collections of self-propelled particles, nematics mixed with molecular motors, and interacting robots can all be described by symmetry-based continuum theories. These…

Soft Condensed Matter · Physics 2026-04-28 Jack Binysh , Guido Baardink , Jonas Veenstra , Corentin Coulais , Anton Souslov

Active dynamic processes of cells are largely driven by the cytoskeleton, a complex and adaptable semiflexible polymer network, motorized by mechanoenzymes. Small dimensions, confined geome- tries and hierarchical structures make it…

Biological Physics · Physics 2017-08-23 Jannes Gladrow , Chase P. Broedersz , Christoph F. Schmidt

Models of active nematics in biological systems normally require complexity arising from the hydrodynamics involved at the microscopic level as well as the viscoelastic nature of the system. Here we show that a minimal, space-independent,…

Soft Condensed Matter · Physics 2022-06-27 Emmanuel L. C. VI M. Plan , Huong Le Thi , Julia M. Yeomans , Amin Doostmohammadi

We numerically solve the active nematohydrodynamic equations of motion, coupled to a Turing reaction-diffusion model, to study the effect of active nematic flow on the stripe patterns resulting from a Turing instability. If the activity is…

Soft Condensed Matter · Physics 2021-11-04 Saraswat Bhattacharyya , Julia M. Yeomans