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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

Chemotaxis is a directed cell movement in response to external chemical stimuli. In this paper, we propose a simple model for the origin of chemotaxis - namely how a directed movement in response to an external chemical signal may occur…

Analysis of PDEs · Mathematics 2023-06-30 Yishu Gong , Alexander Kiselev

Chemotaxis enables marine bacteria to increase encounters with phytoplankton cells by reducing their search times, provided that bacteria detect noisy chemical gradients around phytoplankton. Gradient detection depends on bacterial…

Biological Physics · Physics 2025-01-14 Riccardo Foffi , Douglas R. Brumley , François Peaudecerf , Roman Stocker , Jonasz Słomka

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

Animal cells can sense chemical gradients without moving, and are faced with the challenge of migrating towards a target despite noisy information on the target position. Here we discuss optimal search strategies for a chaser that moves by…

Biological Physics · Physics 2015-03-18 Pawel Romanczuk , Guillaume Salbreux

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

Biological tissues have been observed to display emergent fluid-like properties, owing to physical interactions between cells. However, it remains unclear in general how these fluid-like properties affect tissue structure and function.…

Soft Condensed Matter · Physics 2026-02-24 Giulia L. Celora , Benjamin J. Walker , Mohit P. Dalwadi , Philip Pearce

Autologous chemotaxis, in which cells secrete and detect molecules to determine the direction of fluid flow, is thwarted at high cell density because molecules from other cells interfere with a given cell's signal. Using a minimal model of…

Biological Physics · Physics 2022-09-14 Michael Vennettilli , Louis Gonzalez , Nicholas Hilgert , Andrew Mugler

We compare chemotaxis, the migration of cells and higher animals in reaction to a chemical stimulus, and similar phenomena originating within gases from temperature differences. Then we explain two easy mathematical models for handling…

Computational Physics · Physics 2007-05-23 Sara L. Vesely

A wide array of biological systems can navigate in shallow gradients of chemoattractant with remarkable precision. Whilst previous approaches model such systems using coarse-grained chemical density profiles, we construct a dynamical model…

Biological Physics · Physics 2023-12-19 Jacob Knight , Paula García-Galindo , Johannes Pausch , Gunnar Pruessner

Living cells are capable of interacting with their environments in a variety of ways, including cell signalling, adhesion, and directed motion. These behaviours are often mediated by receptor molecules embedded in the cell membrane, which…

Biological Physics · Physics 2023-10-17 Hannah Sleath , Bortolo Mognetti , Yuval Elani , Lorenzo Di Michele

Cancer cell migration between different body parts is the driving force behind cancer metastasis, which is the main cause of mortality of patients. Migration of cancer cells often proceeds by penetration through narrow cavities in locally…

Cell Behavior · Quantitative Biology 2023-05-02 Qiyao Peng , Fred J Vermolen , Daphne Weihs

Collective cell migration is a multicellular phenomenon that arises in various biological contexts, including cancer and embryo development. "Collectiveness" can be promoted by cell-cell interactions such as co-attraction and contact…

Cell Behavior · Quantitative Biology 2023-10-03 Viktoria Freingruber , Kevin J. Painter , Mariya Ptashnyk , Linus Schumacher

A novel trait-structured Keller-Segel model that explores the dynamics of a migrating cell population guided by chemotaxis in response to an external ligand concentration is derived and analysed. Unlike traditional Keller-Segel models, this…

Cell Behavior · Quantitative Biology 2025-02-27 Viktoria Freingruber , Tommaso Lorenzi , Kevin J. Painter , Mariya Ptashnyk

We provide a short review of existing models with multiple taxis performed by (at least) one species and consider a new mathematical model for tumor invasion featuring two mutually exclusive cell phenotypes (migrating and proliferating).…

Analysis of PDEs · Mathematics 2020-05-05 Niklas Kolbe , Nikolaos Sfakianakis , Christian Stinner , Christina Surulescu , Jonas Lenz

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

Highly specific spatiotemporal interactions between cognate molecular partners essentially sustain all biochemical transactions in the living matter. That such an exquisite level of accuracy may result from encountering forces solely driven…

Biological Physics · Physics 2015-06-03 Jordane Preto , Elena Floriani , Ilaria Nardecchia , Pierre Ferrier , Marco Pettini

Chemotaxis and haptotaxis have been a main theme in the macroscopic study of bacterial and cellular motility. In this work we investigate the influence these processes have on the shape and motility of fast migrating cells. We note that…

Cell Behavior · Quantitative Biology 2016-12-08 Aaron Brunk , Niklas Kolbe , Nikolaos Sfakianakis

Through evolution, bacteria have developed the ability to perform chemotactic motion in order to find nourishment. By adopting a machine learning approach, we aim to understand how this behavior arises. We consider run-and-tumble agents…

Soft Condensed Matter · Physics 2026-01-13 Nicholas Tovazzi , Gorka Muñoz-Gil , Michele Caraglio

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