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We investigate the propagating profiles of a degenerate chemotaxis model describing the bacteria chemotaxis and consumption of oxygen by aerobic bacteria, in particular, the effect of the initial attractant distribution on bacterial…

Analysis of PDEs · Mathematics 2020-05-12 Tianyuan Xu , Shanming Ji , Ming Mei , Jingxue Yin

Active fluids made of powered suspended particles have unique abilities to self-generate flow and density structures. How such dynamics can be triggered and leveraged by external cues is a key question of both biological and applied…

Soft Condensed Matter · Physics 2025-07-21 Malo Marmol , Cécile Cottin-Bizonne , Andrejs Cebers , Damien Faivre , Christophe Ybert

This paper introduces a reaction-diffusion-chemotaxis model for bacterial aggregation patterns on the surface of thin agar plates. It is based on the non-linear degenerate cross diffusion model proposed by Kawasaki et al. (J. of Theor.…

Cell Behavior · Quantitative Biology 2013-01-23 J. Francisco Leyva , Carlos Malaga , Ramon G. Plaza

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

We introduce a generic, purely mechanical model for environment sensitive motion of mammalian cells that is applicable to chemotaxis, haptotaxis, and durotaxis as modes of motility. It is able to theoretically explain all relevant…

Cell Behavior · Quantitative Biology 2016-05-09 Patrick Bitter , Kristof Leon Beck , Peter Lenz

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

The Brownian dynamics of a single microorganism coupled by chemotaxis to a diffusing concentration field which is secreted by the microorganism itself is studied by computer simulations in spatial dimensions $d=1,2,3$. Both cases of a…

Soft Condensed Matter · Physics 2015-05-13 Ankush Sengupta , Sven van Teeffelen , Hartmut Löwen

Bacterial chemotaxis for E.coli is controlled by methylation of chemoreceptors, which in a biochemical pathway regulates the concentration of the CheY-P protein that finally controls the tumbling rate. As a consequence, the tumbling rate…

Soft Condensed Matter · Physics 2025-04-23 Manuel Mayo , Rodrigo Soto

Bacterial chemotaxis systems are as diverse as the environments that bacteria inhabit, but how much environmental variation can cells tolerate with a single system? Diversification of a single chemotaxis system could serve as an…

Populations and Evolution · Quantitative Biology 2015-11-30 Nicholas W Frankel , William Pontius , Yann S Dufour , Junjiajia Long , Luis Hernandez- Nunez , Thierry Emonet

Enzymes show two distinct transport behaviors in the presence of their substrates in solution. First, their diffusivity enhances with increasing substrate concentration. In addition, enzymes perform directional motion toward regions with…

Biological Physics · Physics 2018-11-06 Farzad Mohajerani , Xi Zhao , Ambika Somasundar , Darrell Velegol , Ayusman Sen

The response of microbes to external signals is mediated by biochemical networks with intrinsic time scales. These time scales give rise to a memory that impacts cellular behaviour. Here we study theoretically the role of cellular memory in…

Biological Physics · Physics 2020-02-14 Adam Gosztolai , Mauricio Barahona

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

Controlling bacterial surface adhesion and subsequent biofilm formation in fluid systems is crucial for the safety and efficacy of medical and industrial processes. Here, we theoretically examine the transport of bacteria close to surfaces,…

Soft Condensed Matter · Physics 2025-07-08 Edwina F. Yeo , Benjamin J. Walker , Philip Pearce , Mohit P. Dalwadi

Unraveling bacterial strategies for spatial exploration is crucial for understanding the complexity in the organization of life. Bacterial motility determines the spatio-temporal structure of microbial communities, controls infection…

As motivated by studies of cellular motility driven by spatiotemporal chemotactic gradients in microdevices, we develop a framework for constructing approximate analytical solutions for the location, speed and cellular densities for cell…

Analysis of PDEs · Mathematics 2022-11-09 Jacobo Ayensa-Jiménez , Mohamed H. Doweidar , Manuel Doblaré , Eamonn A. Gaffney

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

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

In bacterial chemotaxis, E. coli cells drift up chemical gradients by a series of runs and tumbles. Runs are periods of directed swimming, and tumbles are abrupt changes in swimming direction. Near the beginning of each run, the rotating…

Soft Condensed Matter · Physics 2009-11-07 Thomas R. Powers

Biological systems like ciliated microorganisms are capable to respond to the external chemical gradients, a process known as chemotaxis which has been studied here using the chiral squirmer model. This theoretical model considers the…

Biological Physics · Physics 2018-04-18 Ruma Maity , P. S. Burada

Chemotaxis combines three processes: directional sensing, polarity reorientation and migration. Directed migration plays an important role in immune response, metastasis, wound healing and development. To describe chemotaxis, we extend a…

Biological Physics · Physics 2023-12-04 Pedro C. Dal-Castel , Gilberto L. Thomas , Gabriel C. Perrone , Rita M. C. de Almeida