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Related papers: A Field-Theoretic Model for Chemotaxis in Run and …

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We develop a dynamic mean-field theory for polar active particles that interact through a self-generated field, in particular one generated through emitting a chemical signal. While being a form of chemotactic response, it is different from…

Statistical Mechanics · Physics 2020-01-15 Andreas Fischer , Friederike Schmid , Thomas Speck

We study a minimal model of self-propelled particle in a crowded single-file environment. We extend classical models of exclusion processes (previously analyzed for diffusive and driven tracer particles) to the case where the tracer…

Statistical Mechanics · Physics 2018-12-26 Thibault Bertrand , Pierre Illien , Olivier Bénichou , Raphaël Voituriez

We analyze the case of run-and-tumble particles pushed through a rugged channel both in the continuum and on the lattice. The current characteristic is non-monotone in the external field with (1) the appearance of a current and nontrivial…

Statistical Mechanics · Physics 2021-03-05 Bram Bijnens , Christian Maes

Run-and-tumble dynamics is a wide-spread mechanism of swimming bacteria. The accumulation of run-and-tumble microswimmers near impermeable surfaces is studied theoretically and numerically in the low-density limit in two and three spatial…

Statistical Mechanics · Physics 2015-03-29 Jens Elgeti , Gerhard Gompper

We propose a method to directly couple molecular dynamics, finite element method and particle-in-cell techniques to simulate metal surface response to high electric fields. We use this method to simulate the evolution of a field emitting…

Computational Engineering, Finance, and Science · Computer Science 2020-05-27 Mihkel Veske , Andreas Kyritsakis , Kyrre Ness Sjobak , Vahur Zadin , Alvo Aabloo , Flyura Djurabekova

A continuum model for a population of self-propelled particles interacting through nematic alignment is derived from an individual-based model. The methodology consists of introducing a hydrodynamic scaling of the corresponding mean-field…

Analysis of PDEs · Mathematics 2015-09-11 Pierre Degond , Angelika Manhart , Hui Yu

We consider self-propelled particles undergoing run-and-tumble dynamics (as exhibited by E. coli) in one dimension. Building on previous analyses at drift-diffusion level for the one-particle density, we add both interactions and noise,…

Statistical Mechanics · Physics 2008-08-14 J. Tailleur , M. E. Cates

The motile micro-organisms such as E. coli, sperm, or some seaweed are usually modelled by self-propelled particles that move with the run-and-tumble process. Individual-based stochastic models are usually employed to model the aggregation…

Analysis of PDEs · Mathematics 2024-01-09 Jingyi Fu , Jiuyang Liang , Benoit Perthame , Min tang

Auto-chemotaxis, the directed movement of cells along gradients in chemicals they secrete, is central to the formation of complex spatiotemporal patterns in biological systems. Since the introduction of the Keller--Segel model, numerous…

Soft Condensed Matter · Physics 2025-11-18 Henrik Weyer , David Muramatsu , Erwin Frey

We derive general kinetic and hydrodynamic models of chemotactic aggregation that describe certain features of the morphogenesis of biological colonies (like bacteria, amoebae, endothelial cells or social insects). Starting from a…

Biological Physics · Physics 2009-11-13 Pierre-Henri Chavanis , Clement Sire

Based on static and dynamical density functional theory, a phase-field-crystal model is derived which involves both the translational density and the orientational degree of ordering as well as a local director field. The model exhibits…

Soft Condensed Matter · Physics 2015-05-19 Hartmut Löwen

We simulate by lattice Boltzmann the nonequilibrium steady states of run-and-tumble particles (inspired by a minimal model of bacteria), interacting by far-field hydrodynamics, subject to confinement. Under gravity, hydrodynamic…

Statistical Mechanics · Physics 2010-07-01 R. W. Nash , R. Adhikari , J. Tailleur , M. E. Cates

We propose a model of run-and-tumble particles (RTPs) on a line with a fertile site at the origin. After going through the fertile site, a run-and-tumble particle gives rise to new particles until it flips direction. The process of creation…

Statistical Mechanics · Physics 2021-08-11 Pascal Grange , Xueqi Yao

Self-assembly kinetics is usually described by approaches which assume that the shape of the aggregates has a definite form (e.g., spherical, cylindrical, cubic, etc), however that is unlikely to be the case in many finite-sized…

Soft Condensed Matter · Physics 2022-07-13 L. F. Trugilho , L. G. Rizzi

We consider a one-dimensional run-and-tumble particle (RTP) confined by an external potential and coupled to a thermal reservoir. Starting from the corresponding Fokker-Planck equation, we derive an explicit expression for the local entropy…

Statistical Mechanics · Physics 2025-09-11 Oded Farago

Microorganisms often perform chemotaxis, (i.e., sensing and moving toward a region with a higher concentration of an attractive chemical) by changing the rate of tumbling for random walk. We studied several models with internal adaptive…

Statistical Mechanics · Physics 2009-11-11 Masayo Inoue , Kunihiko Kaneko

Recent studies on metamorphic petrology as well as microstructural observations suggest the influence of mechanical effects upon chemically active metamorphic minerals. Thus, the understanding of such a coupling is crucial to describe the…

Geophysics · Physics 2021-08-04 Santiago P. Clavijo , Luis Espath , Adel Sarmiento , Victor M. Calo

Active matter systems comprise self-propelled particles that move on a substrate while leaving chemical trails that influence other particles through chemotaxis (e.g., slime-depositing bacteria). Orientational chemotaxis manifests as a…

Soft Condensed Matter · Physics 2025-12-11 Aymeric Lutier , Frédéric van Wijland , Jean-Baptiste Fournier

In chemotaxis, cells are modulating their migration patterns in response to concentration gradients of a guiding substance. Immune cells are believed to use such chemotactic sensing for remotely detecting and homing in on pathogens.…

Cell Behavior · Quantitative Biology 2019-02-28 Claus Metzner

Aerotaxis is the particular form of chemotaxis in which oxygen plays the role of both the attractant and the repellent. Aerotaxis occurs without methylation adaptation, and it leads to fast and complete aggregation toward the most favorable…

Classical Analysis and ODEs · Mathematics 2015-06-26 Barbara "Bori" C. Mazzag