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Sensory adaptation enables organisms to adjust their perception in a changing environment. A paradigm is bacterial chemotaxis, where the output activity of chemoreceptors is adapted to different baseline concentrations via receptor…

Cell Behavior · Quantitative Biology 2024-01-23 Vansh Kharbanda , Benedikt Sabass

We discuss recent progress in the theoretical description of chemotaxis by coupling the diffusion equation of a chemical species to equations describing the motion of sensing microorganisms. In particular, we discuss models for…

Soft Condensed Matter · Physics 2019-02-05 B. Liebchen , H. Löwen

We consider the Keller-Segel model for chemotaxis with a nonlinear diffusion coefficent and a singular sensitivity function. We show the existence of travelling waves for wave speeds above a critical value, and establish local…

Analysis of PDEs · Mathematics 2012-02-20 Martin Meyries

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

Advection of entities induced by gradients in attractant concentration fields is observed via diffusiophoresis in colloids and via chemotaxis in microorganisms. Mathematically, both diffusiophoresis and chemotaxis follow similar…

Populations and Evolution · Quantitative Biology 2024-10-07 Benjamin M. Alessio , Ankur Gupta

We discuss velocity-jump models for chemotaxis of bacteria with an internal state that allows the velocity jump rate to depend on the memory of the chemoattractant concentration along their path of motion. Using probabilistic techniques, we…

Numerical Analysis · Mathematics 2011-11-23 Mathias Rousset , Giovanni Samaey

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

We consider the singular limit of a chemotaxis model of bacterial collective motion recently introduced in arXiv:2009.11048 [math.AP]. The equation models aggregation-diffusion phenomena with advection that is discontinuous and depends…

Analysis of PDEs · Mathematics 2025-08-28 Maria Gualdani , Mikel Ispizua , Nicola Zamponi

The ability of a cancer cell population to achieve heterogeneity in their phenotype distributions offers advantages in tumor invasiveness and drug resistance. Studying the mechanisms behind such observed heterogeneity in mammalian cells…

Cell Behavior · Quantitative Biology 2024-08-20 Simone Scalise , Giorgio Gosti , Giancarlo Ruocco , Giovanna Peruzzi , Mattia Miotto

Inputs to signaling pathways can have complex statistics that depend on the environment and on the behavioral response to previous stimuli. Such behavioral feedback is particularly important in navigation. Successful navigation relies on…

Molecular Networks · Quantitative Biology 2014-12-02 Yann S. Dufour , Xiongfei Fu , Luis Hernandez-Nunez , Thierry Emonet

Chemotaxis plays a crucial role in a variety of processes in biology and ecology. Quite often it acts to improve efficiency of biological reactions; one example is the immune system signalling, where infected tissues release chemokines…

Analysis of PDEs · Mathematics 2025-08-20 Jing An , Alexander Kiselev , Yao Yao

Bacterial chemotactic sensing converts noisy chemical signals into running and tumbling. We analyze the static sensing limits of mixed Tar/Tsr chemoreceptor clusters in individual Escherichia coli cells using a heterogeneous…

Quantitative Methods · Quantitative Biology 2026-02-24 Ziyi Cui , Sarah Marzen

Segregation by thermal diffusion of an intruder immersed in a sheared granular gas is analyzed from the (inelastic) Boltzmann equation. Segregation is induced by the presence of a temperature gradient orthogonal to the shear flow plane and…

Statistical Mechanics · Physics 2015-05-18 Vicente Garzó , Francisco Vega Reyes

Organisms must acquire and use environmental information to guide their behaviors. However, it is unclear whether and how information quantitatively limits behavioral performance. Here, we relate information to behavioral performance in…

Biological Physics · Physics 2023-02-22 Henry H. Mattingly , Keita Kamino , Benjamin B. Machta , Thierry Emonet

The bacterium E.Coli swims in a zig-zag manner, in a series of straight runs and tumbles occurring alternately, with the run-durations dependent on the local spatial gradient of chemo-attractants/repellants. This enables the organism to…

Cell Behavior · Quantitative Biology 2008-12-31 Melissa Reneaux , Manoj Gopalakrishnan

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

Experiments have shown that bacteria can be sensitive to small variations in chemoattractant (CA) concentrations. Motivated by these findings, our focus here is on a regime rarely studied in experiments: bacteria tracking point CA sources…

Cell Behavior · Quantitative Biology 2016-05-03 Hossein Jashnsaz , Tyler Nguyen , Horia I. Petrache , Steve Pressé

Chemotactic cells establish cell polarity in the absence of external guidance cues. Such self-organized polarity is induced by spontaneous symmetry breaking in the intracellular activities, which produces an emergent memory effect…

Cell Behavior · Quantitative Biology 2015-06-16 Tetsuya Hiraiwa , Akihiro Nagamatsu , Naohiro Akuzawa , Masatoshi Nishikawa , Tatsuo Shibata

The Escherichia coli chemotaxis signaling pathway has served as a model system for studying the adaptive sensing of environmental signals by large protein complexes. The chemoreceptors control the kinase activity of CheA in response to the…

Biological Physics · Physics 2023-10-16 David Hathcock , Qiwei Yu , Bernardo A. Mello , Divya N. Amin , Gerald L. Hazelbauer , Yuhai Tu

Myxobacteria aggregate and generate fruiting bodies in the soil to survive under starvation conditions. Considering soil as a porous medium, the biological mechanism and dynamic behavior of myxobacteria and slime (chemoattractants) affected…

Analysis of PDEs · Mathematics 2025-04-15 Fugui Ma , Wenyi Tian , Weihua Deng