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Multicellular chemotaxis can occur via individually chemotaxing cells that are mechanically coupled. Alternatively, it can emerge collectively, from cells chemotaxing differently in a group than they would individually. Here we consider…

Biological Physics · Physics 2017-11-01 Julien Varennes , Sean Fancher , Bumsoo Han , Andrew Mugler

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

Mechanics and biochemical signaling are both often deregulated in cancer, leading to cancer cell phenotypes that exhibit increased invasiveness, proliferation, and survival. The dynamics and interactions of cytoskeletal components control…

Biological Physics · Physics 2018-07-27 Fabian Spill , Chris Bakal , Michael Mak

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

When a single cell senses a chemical gradient and chemotaxes, stochastic receptor-ligand binding can be a fundamental limit to the cell's accuracy. For clusters of cells responding to gradients, however, there is a critical difference: even…

Cell Behavior · Quantitative Biology 2017-11-09 Brian A. Camley , Wouter-Jan Rappel

Metastasis is a process of cell migration that can be collective and guided by chemical cues. Viewing metastasis in this way, as a physical phenomenon, allows one to draw upon insights from other studies of collective sensing and migration…

Biological Physics · Physics 2016-03-10 Julien Varennes , Andrew Mugler

We present a discrete model of chemotaxis whereby cells responding to a chemoattractant are seen as individual agents whose movement is described through a set of rules that result in a biased random walk. In order to take into account…

Analysis of PDEs · Mathematics 2020-03-27 Federica Bubba , Tommaso Lorenzi , Fiona R Macfarlane

Heterogeneity within tumour cell populations is associated with an increase in malignancy and appears to play an important role during cancer metastasis. Using in silico experiments, we study the interplay between collective behaviours and…

Tissues and Organs · Quantitative Biology 2015-01-05 Adrien Hallou , Joel Jennings , Alexandre Kabla

Eukaryotic cells are able to sense chemical gradients in a wide range of environments. We show that, if a cell is exposed to a highly variable environment, it may gain chemotactic accuracy by expressing multiple receptor types with varying…

Cell Behavior · Quantitative Biology 2020-11-04 Austin Hopkins , Brian A. Camley

We study a chemotaxis-consumption mechanism, in which some chemical signal and cells density interact each other. In order to control the concentration of such a population, sources involving gradient nonlinearities, which introduce a…

Analysis of PDEs · Mathematics 2025-01-24 Daniel Acosta Soba , Alessandro Columbu , Giuseppe Viglialoro

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

Chemotaxis is the process by which cells behave in a way that follows the chemical gradient. Applications to bacteria growth, tissue inflammation, and vascular tumors provide a focus on optimization strategies. Experiments can characterize…

Optimization and Control · Mathematics 2007-07-18 K. Renee Fister , Maeve L. McCarthy

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

A simple model is studied for the chemotactic movement of biological cells in the presence of a periodic chemical wave. It incorporates the feature of adaptation that may play an important role in allowing for ``rectified" chemotaxis:…

Condensed Matter · Physics 2009-10-28 Raymond E. Goldstein

We introduce stochastic models of chemotaxis generalizing the deterministic Keller-Segel model. These models include fluctuations which are important in systems with small particle numbers or close to a critical point. Following Dean's…

Statistical Mechanics · Physics 2009-09-01 Pierre-Henri Chavanis

Cancer cells are widely known to be protected from apoptosis, which is a major hurdle to successful anti-cancer therapy. Over-expression of several anti-apoptotic proteins, or mutations in pro-apoptotic factors, has been recognized to…

Molecular Networks · Quantitative Biology 2010-09-14 Subhadip Raychaudhuri

Cells respond to chemical cues, and the precision with which they can sense these cues is fundamentally limited by the stochastic nature of diffusion and ligand binding. Berg and Purcell famously investigated how well a small sensor in an…

Biological Physics · Physics 2025-03-21 Daniel R. McCusker , David K. Lubensky

A common feature of biological self-organization is how active agents communicate with each other or their environment via chemical signaling. Such communications, mediated by self-generated chemical gradients, have consequences for both…

Soft Condensed Matter · Physics 2023-11-07 Babak Vajdi Hokmabad , Suropriya Saha , Jaime Agudo-Canalejo , Ramin Golestanian , Corinna C. Maass

In this paper the first equation within a class of well known chemotaxis systems is derived as a hydrodynamic limit from a stochastic interacting many particle system on the lattice. The cells are assumed to interact with attractive…

Probability · Mathematics 2018-04-26 Stefan Grosskinsky , Daniel Marahrens , Angela Stevens

Bacteria track chemical gradients using a biased random walk, a process called chemotaxis. Experiments suggest that bacteria also communicate during this process. Using a mathematical model, we find that sufficiently strong communication…

Biological Physics · Physics 2025-12-18 Soutick Saha , Sean Fancher , Andrew Mugler