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We study the asymptotic behaviour of a family of dynamic models of crawling locomotion, with the aim of characterizing a gait as a limit property. The locomotors, which might have a discrete or continuous body, move on a line with a…

Mathematical Physics · Physics 2023-02-22 Paolo Gidoni , Alessandro Margheri , Carlota Rebelo

Animal cells form contractile structures to promote various functions, from cell motility to cell division. Force generation in these structures is often due to molecular motors such as myosin that require polar substrates for their…

Biological Physics · Physics 2020-11-18 Sihan Chen , Tomer Markovich , F. C. MacKintosh

We study a lattice gas of persistent walkers, in which each site is occupied by at most one particle and the direction each particle attempts to move to depends on its last step. We analyse the mean squared displacement (MSD) of the…

Statistical Mechanics · Physics 2019-08-28 Eial Teomy , Ralf Metzler

The main purpose of this work is the mathematical modelling of large populations of cells under different deterministic interactions among themselves, in balance with naturally random diffusion. We focus on cell-cell adhesion mechanisms for…

Analysis of PDEs · Mathematics 2025-03-19 Carlo Giambiagi Ferrari , Francisco Guillen-Gonzalez , Mayte Perez-Llanos , Antonio Suarez

A number of biological processes, such as embryo development, cancer metastasis or wound healing, rely on cells moving in concert. The mechanisms leading to the emergence of coordinated motion remain however largely unexplored. Although…

Cell Behavior · Quantitative Biology 2011-08-23 Alexandre J Kabla

We present a Brownian inchworm model of a self-propelled elastic dimer in the absence of an external potential. Nonequilibrium noise together with a stretch-dependent damping form the propulsion mechanism. Our model connects three key…

Statistical Mechanics · Physics 2011-11-10 K. Vijay Kumar , Sriram Ramaswamy , Madan Rao

Depending on their mechanism of self-propulsion, active particles can exhibit a time-dependent, often periodic, propulsion velocity. The precise propulsion velocity profile determines their mean square displacement and their effective…

Soft Condensed Matter · Physics 2024-05-06 Arnau Jurado Romero , Carles Calero , Rossend Rey

Soft robots offer a frontier in robotics with enormous potential for safe human-robot interaction and agility in uncertain environments. A stepping stone towards unlocking their potential is a control theory tailored to soft robotics,…

Systems and Control · Electrical Eng. & Systems 2025-03-17 Yenan Shen , Naomi Ehrich Leonard , Bassam Bamieh , Juncal Arbelaiz

Cell migration in morphogenesis and cancer metastasis typically involves interplay between different cell types. We construct and study a minimal, one-dimensional model comprised of two different motile cells with each cell represented as…

Soft Condensed Matter · Physics 2017-09-20 David Mayett , Nicholas Bitten , Moumita Das , J. M. Schwarz

Anchorage-dependent cells collect information on the mechanical properties of the environment through their contractile machineries and use this information to position and orient themselves. Since the probing process is anisotropic,…

Soft Condensed Matter · Physics 2007-05-23 I. B. Bischofs , S. A. Safran , U. S. Schwarz

Cell migration in fibreous extracellular matrix (ECM) is crucial to many physiological and pathological processes such as tissue regeneration, immune response and cancer progression. During migration, individual cells can generate active…

Cell Behavior · Quantitative Biology 2019-10-16 Yu Zheng , Hanqing Nan , Qihui Fan , Xiaochen Wang , Liyu Liu , Ruchuan Liu , Fangfu Ye , Bo Sun , Yang Jiao

Cell crawling on flat substrates is based on intracellular flows of the actin cytoskeleton that are driven by both actin polymerization at the front and myosin contractility at the back. The new experimental tool of optogenetics makes it…

Subcellular Processes · Quantitative Biology 2023-07-04 Oliver M. Drozdowski , Falko Ziebert , Ulrich S. Schwarz

Active fluids, such as cytoskeletal filaments, bacterial colonies and epithelial cell layers, exhibit distinctive orientational coherence, often characterized by nematic order and topological defects. By contrast, little is known about…

Soft Condensed Matter · Physics 2021-04-07 Mattia Serra , Linnea Lemma , Luca Giomi , Zvonimir Dogic , L. Mahadevan

How the cells break symmetry and organize their edge activity to move directionally is a fun- damental question in cell biology. Physical models of cell motility commonly rely on gradients of regulatory factors and/or feedback from the…

The internal dynamics of active gels, both in artificial (in-vitro) model systems and inside the cytoskeleton of living cells, has been extensively studied by experiments of recent years. These dynamics are probed using tracer particles…

Soft Condensed Matter · Physics 2015-07-28 E. Ben Isaac , É. Fodor , P. Visco , F. van Wijland , N. S. Gov

Wing flexibility governs the flying performance of flapping wing flyers. Here, we use a self-propelled flapping-wing model mounted on a ``merry go round'' to investigate the effect of wing compliance on the propulsive efficiency of the…

Biological Physics · Physics 2010-07-21 Benjamin Thiria , Ramiro Godoy-Diana

Active transport of biomolecules assisted by motor proteins is imperative for the proper functioning of cellular activities. Inspired by the diffusion of active agents in crowded cellular channels, we computationally investigate the…

Soft Condensed Matter · Physics 2022-01-19 Rajiblochan Sahoo , Ligesh Theeyancheri , Rajarshi Chakrabarti

Micro-robots for, e.g., biomedical applications, need to be equipped with motility strategies that enable them to navigate through complex environments. Inspired by biological microorganisms we recreate motility patterns such as…

Soft Condensed Matter · Physics 2023-11-13 Christoph Lohrmann , Christian Holm

With the aim of providing a first step in the quest for a reduction of the aerodynamic drag on the rear-end of a car, we study the phenomena of separation and reattachment of an incompressible flow focusing on a specific aerodynamic…

Fluid Dynamics · Physics 2019-02-28 Marco Martins Afonso , Philippe Meliga , Eric Serre

Quantifying the outcomes of cells collisions is a crucial step in building the foundations of a kinetic theory of living matter. Here, we develop a mechanical theory of such collisions by first representing individual cells as extended…

Biological Physics · Physics 2019-12-11 Pierre Recho , Thibaut Putelat , Lev Truskinovsky
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