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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

Chemotaxis-driven invasions have been proposed across a broad spectrum of biological processes, from cancer to ecology. The influential system of equations introduced by Keller and Segel has proven a popular choice in the modelling of such…

Populations and Evolution · Quantitative Biology 2022-02-02 Tommaso Lorenzi , Kevin J Painter

How multicellular life forms evolved out from unicellular ones constitutes a major problem in our understanding of the evolution of our biosphere. A recent set of experiments involving yeast cell populations has shown that selection for…

Populations and Evolution · Quantitative Biology 2015-11-10 Salva Duran-Nebreda , Ricard V. Solé

We present a new kinetic equation for cell migration driven by mechanical interactions with the substrate, an effect not previously captured in kinetic models, and essential for explaining observed collective behaviors such as those in…

Analysis of PDEs · Mathematics 2026-01-12 Benoît Perthame , Francesco Salvarani , Shugo Yasuda

Self-generated gradients (SGG) provide robust steering cues that guide cells in their long-distance expeditions during embryonic development, immune response, and cancer metastasis. Cells generate their own local, dynamic gradients by…

Soft Condensed Matter · Physics 2021-09-29 Himadri S Samanta

We present a simple model that describes the motion of a single chemotactic cell exposed to a traveling wave of the chemoattractant. The model incorporates two types of responses to stimulation by the chemoattractant, i.e., change in…

Biological Physics · Physics 2011-10-26 Masatomo Iwasa , Ryosuke Ishiwata

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

Motivated by the observation of non-exponential run-time distributions of bacterial swimmers, we propose a minimal phenomenological model for taxis of active particles whose motion is controlled by an internal clock. The ticking of the…

Biological Physics · Physics 2020-07-23 Luis Gómez Nava , Robert Großmann , Marius Hintsche , Carsten Beta , Fernando Peruani

Cells sense environmental signals and transmit information intracellularly through changes in the abundance of molecular components. Such molecular abundances can be measured in single cells and exhibit significant heterogeneity in clonal…

Quantitative Methods · Quantitative Biology 2024-09-27 Raymond Fan , Andreas Hilfinger

Bacteria can chemotactically migrate up attractant gradients by controlling run-and-tumble motility patterns. In addition to this well-known chemotactic behaviour, several soil and marine bacterial species perform chemokinesis: they adjust…

Biological Physics · Physics 2021-03-19 Theresa Jakuszeit , James Lindsey-Jones , François J. Peaudecerf , Ottavio A. Croze

Flagellated bacteria, such as Escherichia coli, perform directed motion in gradients of concentration of attractants and repellents in a process called chemotaxis. The E. coli chemotaxis signaling pathway is a model for signal transduction,…

Biological Physics · Physics 2015-03-11 Anne-Florence Bitbol , Ned S. Wingreen

Many of the intriguing properties of blood originate from its cellular nature. Bulk effects, such as viscosity, depend on the local shear rates and on the size of the vessels. While empirical descriptions of bulk rheology are available for…

Computational Engineering, Finance, and Science · Computer Science 2023-05-05 Gabor Zavodszky , Christian Spieker , Benjamin Czaja , Britt van Rooij

In this paper we review some recent results dealing with the transition between microscopic and macroscopic scales in different fields, including kinetic theory, cells movement in biology, chemotaxis, flocking phenomena and agent systems.…

Analysis of PDEs · Mathematics 2024-06-11 Thierry Paul

Living systems contain intricate biochemical networks whose structure is closely related to their function and allows them to exhibit robust behavior in the presence of external stimuli. Such networks typically involve catalytic enzymes,…

Biological Physics · Physics 2025-10-27 Vincent Ouazan-Reboul , Ramin Golestanian , Jaime Agudo-Canalejo

We present a new algorithm based on a Cartesian mesh for the numerical approximation of kinetic models for chemosensitive movements set in an arbitrary geometry. We investigate the influence of the geometry on the collective behavior of…

Numerical Analysis · Mathematics 2013-03-12 Francis Filbet , Chang Yang

We study a generic model for the polarisation and motility of self-propelled soft objects, biological cells or biomimetic systems, interacting with a viscous substrate. The active forces generated by the cell on the substrate are modelled…

Soft Condensed Matter · Physics 2015-06-23 M. Leoni , P. Sens

Collective epithelial migration leverages on topological rearrangements of the intercellular junctions, which allow cells to intercalate without loosing confluency. In silico studies have provided a clear indication that this process could…

Soft Condensed Matter · Physics 2025-02-14 Leonardo Puggioni , Dimitrios Krommydas , Luca Giomi

The homeostasis of epithelial tissue relies on a balance between the self-renewal of stem cell populations, cellular differentiation, and loss. Although this balance needs to be tightly regulated to avoid pathologies, such as tumor growth,…

Biological Physics · Physics 2024-04-10 Johannes C. Krämer , Edouard Hannezo , Gerhard Gompper , Jens Elgeti

Cell layers eliminate unwanted cells through the extrusion process, which underlines healthy versus flawed tissue behaviors. Although several biochemical pathways have been identified, the underlying mechanical basis including the forces…

Soft Condensed Matter · Physics 2023-04-20 Siavash Monfared , Guruswami Ravichandran , Jose E. Andrade , Amin Doostmohammadi

Continuum models for the spatial dynamics of growing cell populations have been widely used to investigate the mechanisms underpinning tissue development and tumour invasion. These models consist of nonlinear partial differential equations…

Tissues and Organs · Quantitative Biology 2019-07-15 Mark AJ Chaplain , Tommaso Lorenzi , Fiona R Macfarlane