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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

Many phenomena in biology involve both reactions and chemotaxis. These processes can clearly influence each other, and chemotaxis can play an important role in sustaining and speeding up the reaction. In continuation of our earlier work, we…

Analysis of PDEs · Mathematics 2015-06-04 Alexander Kiselev , Lenya Ryzhik

This study builds upon a model proposed by Joanny and collaborators that examines the dynamics of interfaces between two distinct cell populations, particularly during tumor growth in healthy tissues. This framework leads to the…

Analysis of PDEs · Mathematics 2024-09-20 Juan Campos , Carlos Pulido , Juan Soler

Experiments have recently shown the feasibility of utilising bacteria as micro-scale robotic devices, with special attention paid to the development of bacteria-driven micro-swimmers taking advantage of built-in actuation and sensing…

Soft Condensed Matter · Physics 2019-02-14 Christian Esparza Lopez , Albane Thery , Eric Lauga

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

How motile bacteria move near a surface is a problem of fundamental biophysical interest and is key to the emergence of several phenomena of biological, ecological and medical relevance, including biofilm formation. Solid boundaries can…

Biological Physics · Physics 2019-09-12 Stanislaw Makarchuk , Vasco C. Braz , Nuno A. M. Araújo , Lena Ciric , Giorgio Volpe

Various bacterial strains (e.g. strains belonging to the genera Bacillus, Paenibacillus, Serratia and Salmonella) exhibit colonial branching patterns during growth on poor semi-solid substrates. These patterns reflect the bacterial…

Condensed Matter · Physics 2009-10-31 Yonathan Kozlovsky , Inon Cohen , Ido Golding , Eshel Ben-Jacob

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

We introduce two stochastic chemostat models consisting in a coupled population-nutrient process reflecting the interaction between the nutrient and the bacterias in the chemostat with finite volume. The nutrient concentration evolves…

Probability · Mathematics 2012-06-19 Pierre Collet , Servet Martinez , Sylvie Meleard , Jaime San Martin

Bacterial communities such as biofilms are widely recognised as being important for survival and persistence of bacteria in harsh environments. Mechanistic models of biofilm growth indicate that the way in which the surface is seeded can…

Quantitative Methods · Quantitative Biology 2007-05-23 Leah R. Johnson

We propose a model of chemostat where the bacterial population is individually-based, each bacterium is explicitly represented and has a mass evolving continuously over time. The substrate concentration is represented as a conventional…

Probability · Mathematics 2013-11-08 Fabien Campillo , Coralie Fritsch

Bacterial chemotaxis in Escherichia coli is a canonical system for the study of signal transduction. A remarkable feature of this system is the coexistence of precise adaptation in population with large fluctuating cellular behavior in…

Molecular Networks · Quantitative Biology 2019-08-19 Thierry Emonet , Philippe Cluzel

We experimentally investigate how aerotactic bacteria, confined within a thin liquid film between two solid substrates, respond to a controlled oxygen gradient. We find that the total bacterial number density dictates which mechanism…

Soft Condensed Matter · Physics 2026-04-07 Minjun Kim , Joonwoo Jeong

A stochastic walker model is proposed to describe the chemotactic guidance of growth cones, i.e. the tips of developing neurites. The model accounts for the influence of both attractive and repulsive chemical cues, which are emitted by the…

Analysis of PDEs · Mathematics 2025-11-04 Noah Geltner , Ansgar Jüngel

Bacteria commonly live in structured communities that affect human health and influence ecological systems. Heterogeneous populations, such as motile and non-motile populations, often coexist in bacteria communities. Motile subpopulations…

Biological Physics · Physics 2019-06-19 Haoran Xu , Justas Dauparas , Debasish Das , Eric Lauga , Yilin Wu

The expansion of biological species in natural environments is usually described as the combined effect of individual spatial dispersal and growth. In the case of aquatic ecosystems flow transport can also be extremely relevant as an extra,…

Biological Physics · Physics 2016-08-30 Francesca Tesser , Jos C. H. Zeegers , Herman J. H. Clercx , Luc Brunsveld , Federico Toschi

Heterogeneous systems of active matter exhibit a range of complex emergent dynamical patterns. In particular, it is difficult to predict the properties of the mixed system based on its constituents. These considerations are particularly…

Soft Condensed Matter · Physics 2021-04-07 Shlomit Peled , Shawn D. Ryan , Sebastian Heidenreich , Markus Bar , Gil Ariel , Avraham Be'er

Chemotaxis and reactions are fundamental processes in biology, often intricately intertwined. Chemotaxis, in particular, can be crucial in maintaining and accelerating a reaction. In this work, we extend the investigation initiated by…

Analysis of PDEs · Mathematics 2024-12-31 Crystianne L. De Andrade , Alexander A. Kiselev

The existence of travelling waves for a coupled system of hyperbolic/ parabolic equations is established in the case of a finite number of velocities in the kinetic equation. This finds application in collective motion of chemotactic…

Analysis of PDEs · Mathematics 2018-11-20 Vincent Calvez , Laurent Gosse , Monika Twarogowska

Classic experiments on the distribution of ducks around separated food sources found consistency with the `ideal free' distribution in which the local population is proportional to the local supply rate. Motivated by this experiment and…

Biological Physics · Physics 2015-08-19 Francois J. Peaudecerf , Raymond E. Goldstein
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