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Related papers: Self-generated gradients guide cells in their long…

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Self-generated gradients have atttracted a lot of attention in the recent biological literature. It is considered as a robust strategy for a group of cells to find its way during a long journey. This note is intended to discuss various…

Analysis of PDEs · Mathematics 2021-09-15 Mete Demircigil , Vincent Calvez , Roxana Sublet

Cells are constantly exposed to diverse stimuli-chemical, mechanical, or electrical-that guide their movement. In physiological conditions, these signals often overlap, as seen during infections, where neutrophils and dendritic cells…

Biological Physics · Physics 2026-03-25 Emiliano Perez Ipiña , Brian A. Camley

The onset of life is often framed around membrane bound compartments and encoded metabolism, leaving unresolved how spatial organization arose before stable boundaries. In this context, environmental gradients are usually treated as…

Other Quantitative Biology · Quantitative Biology 2026-04-23 Arturo Tozzi

Chemotaxis, i.e. motion generated by chemical gradients, is a motility mode shared by many living species that has been developed by evolution to optimize certain biological processes such as foraging or immune response. In particular,…

Soft Condensed Matter · Physics 2023-05-24 Hugues Meyer , Heiko Rieger

Cells move differently on substrates with different elasticities. In particular, the persistence time of their motion is higher on stiffer substrates. We show that this behavior will result in a net transport of cells directed up a…

Biological Physics · Physics 2017-03-09 Elizaveta A. Novikova , Matthew Raab , Dennis E. Discher , Cornelis Storm

Single-cell organisms and various cell types use a range of motility modes when following a chemical gradient, but it is unclear which mode is best suited for different gradients. Here, we model directional decision-making in chemotactic…

Cell Behavior · Quantitative Biology 2025-05-12 Albert Alonso , Julius B. Kirkegaard , Robert G. Endres

Single eukaryotic cells commonly sense and follow chemical gradients, performing chemotaxis. Recent experiments and theories, however, show that even when single cells do not chemotax, clusters of cells may, if their interactions are…

Cell Behavior · Quantitative Biology 2016-07-04 Brian A. Camley , Juliane Zimmermann , Herbert Levine , Wouter-Jan Rappel

Many eukaryotic cells chemotax, sensing and following chemical gradients. However, experiments have shown that even under conditions when single cells cannot chemotax, small clusters may still follow a gradient. This behavior has been…

Biological Physics · Physics 2023-07-19 Brian A. Camley , Juliane Zimmermann , Herbert Levine , Wouter-Jan Rappel

Collective cell migration in response to a chemical cue occurs in many biological processes such as morphogenesis and cancer metastasis. Clusters of migratory cells in these systems are capable of responding to gradients of less than 1%…

Biological Physics · Physics 2016-08-24 Julien Varennes , Bumsoo Han , Andrew Mugler

This work concerns with a class of chemotaxis models in which external sources, comprising nonlocal and gradient-dependent damping reactions, influence the motion of a cell density attracted by a chemical signal. The mechanism of the two…

Analysis of PDEs · Mathematics 2024-06-17 Rafael Díaz Fuentes , Silvia Frassu , Giuseppe Viglialoro

Collective migration -- the directed, coordinated motion of many self-propelled agents -- is a fascinating emergent behavior exhibited by active matter that has key functional implications for biological systems. Extensive studies have…

Biological Physics · Physics 2022-06-07 Tapomoy Bhattacharjee , Daniel B. Amchin , Ricard Alert , J. A. Ott , Sujit S. Datta

In contexts ranging from embryonic development to bacterial ecology, cell populations migrate chemotactically along self-generated chemical gradients, often forming a propagating front. Here, we theoretically show that the stability of such…

Biological Physics · Physics 2022-06-07 Ricard Alert , Alejandro Martínez-Calvo , Sujit S. Datta

Collective motion of cells is common in many physiological processes, including tissue development, repair, and tumor formation. Recent experiments have shown that certain malignant cancer cells form clusters in a chemoattractant gradient,…

Biological Physics · Physics 2017-05-02 Katherine Copenhagen , Gema Malet-Engra , Weimiao Yu , Giorgio Scita , Nir Gov , Ajay Gopinathan

The collective chemotaxis of multicellular clusters is an important phenomenon in various physiological contexts, ranging from embryonic development to cancer metastasis. Such clusters often display interesting shape dynamics and…

Tissues and Organs · Quantitative Biology 2025-06-03 Monika Sanoria , Gema Malet-Engra , Giorgio Scita , Nir Gov , Ajay Gopinathan

Understanding the rules underlying organismal development is a major unsolved problem in biology. Each cell in a developing organism responds to signals in its local environment by dividing, excreting, consuming, or reorganizing, yet how…

Cell Behavior · Quantitative Biology 2025-08-20 Ramya Deshpande , Francesco Mottes , Ariana-Dalia Vlad , Michael P. Brenner , Alma dal Co

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

Directed cell motion in response to an external chemical gradient occurs in many biological phenomena such as wound healing, angiogenesis, and cancer metastasis. Chemotaxis is often characterized by the accuracy, persistence, and speed of…

Cell Behavior · Quantitative Biology 2019-06-19 Julien Varennes , Hye-ran Moon , Soutick Saha , Andrew Mugler , Bumsoo Han

This paper studies a chemotaxis system where cells move in response to a chemical signal within a confined habitat. The model includes external source terms that combine local and nonlocal growth with dampening effects. The main focus is on…

Analysis of PDEs · Mathematics 2025-11-11 Rafael Diaz Fuentes , Fatma Gamze Duzgun , Silvia Frassu , Giuseppe Viglialoro

Cells perform directed motion in response to external stimuli that they detect by sensing the environment with their membrane protrusions. In particular, several biochemical and biophysical cues give rise to tactic migration in the…

Cell Behavior · Quantitative Biology 2020-07-15 N. Loy , M. Conte

Experimental evidence lends support to the conjecture that the ability of chains of cells to sense the gradient of an external chemical concentration could rely on cell-to-cell communication. This is the basis for the gradient sensing…

Quantitative Methods · Quantitative Biology 2021-02-24 Dallas Foster , Collin Victor , Brian Frost , Juan M. Restrepo
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