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We investigate further the existence of solutions to kinetic models of chemotaxis. These are nonlinear transport-scattering equations with a quadratic nonlinearity which have been used to describe the motion of bacteria since the 80's when…

偏微分方程分析 · 数学 2007-09-27 Nikolaos Bournaveas , Vincent Calvez , Susana Gutiérrez , Benoît Perthame

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.…

细胞行为 · 定量生物学 2019-02-28 Claus Metzner

Kinetic-transport equations are, by now, standard models to describe the dynamics of populations of bacteria moving by run-and-tumble. Experimental observations show that bacteria increase their run duration when encountering an increasing…

偏微分方程分析 · 数学 2015-03-16 Benoît Perthame , Min Tang , Nicolas Vauchelet

We use moving light patterns to control the motion of {\it Escherichia coli} bacteria whose motility is photo-activated. Varying the pattern speed controls the magnitude and direction of the bacterial flux, and therefore the accumulation of…

The role of activity on the hydrodynamic dispersion of bacteria in a model porous medium is studied by tracking thousands of bacteria in a microfluidic chip containing randomly placed pillars. We first evaluate the spreading dynamics of two…

流体动力学 · 物理学 2019-01-23 Adama Creppy , Eric Clément , Carine Douarche , Maria Veronica D'Angelo , Harold Auradou

Bacteria such as Escherichia coli move about in a series of runs and tumbles: while a run state (straight motion) entails all the flagellar motors spinning in counterclockwise mode, a tumble is caused by a shift in the state of one or more…

定量方法 · 定量生物学 2020-01-08 C. S. Renadheer , Ushasi Roy , Manoj Gopalakrishnan

During the past century, biologists and mathematicians investigated two mechanisms underlying bacteria motion: the run phase during which bacteria move in straight lines and the tumble phase in which they change their orientation. When…

偏微分方程分析 · 数学 2025-05-19 Alain Blaustein

We present a simple model that describes the motion of a single chemotactic cell exposed to a traveling wave of the chemoattractant. The model incorporates two types of responses to stimulation by the chemoattractant, i.e., change in…

生物物理 · 物理学 2011-10-26 Masatomo Iwasa , Ryosuke Ishiwata

Interaction of swimming bacteria with flows controls their ability to explore complex environments, crucial to many societal and environmental challenges and relevant for microfluidic applications as cell sorting. Combining experimental,…

软凝聚态物质 · 物理学 2020-09-03 Guangyin Jing , Andreas Zöttl , Éric Clément , Anke Lindner

E. coli chemotactic motion in the presence of a chemoattractant field has been extensively studied using wet laboratory experiments, stochastic computational models as well as partial differential equation-based models (PDEs). The most…

Active fluids refer to the fluids that contain self-propelled particles such as bacteria or micro-algae, whose properties differ fundamentally from the passive fluids. Such particles often exhibit an intermittent motion, with high-motility…

生物物理 · 物理学 2020-03-05 Thomas Vourc'h , Julien Léopoldès , Hassan Peerhossaini

Chemotaxis is a ubiquitous biological phenomenon in which cells detect a spatial gradient of chemoattractant, and then move towards the source. Here we present a position-dependent advection-diffusion model that quantitatively describes the…

生物物理 · 物理学 2018-04-06 Zahra Eidi , Farshid Mohammad-Rafiee , Mohammad Khorrami , Azam Gholami

Previously published experimental work by other authors has shown that certain motile marine bacteria are able to track free swimming algae by executing a zigzag path and steering toward the algae at each turn. Here, we propose that the…

细胞行为 · 定量生物学 2008-06-05 Janos Tobias Locsei , Timothy J Pedley

Bacteria are able to respond to environmental signals by changing their rules of movement. When we take into account chemical signals in the environment, this behaviour is often called chemotaxis. At the individual-level, chemotaxis…

偏微分方程分析 · 数学 2007-05-23 Radek Erban , Hyung Ju Hwang

The chemotactic pathway allows bacteria to respond and adapt to environmental changes, by tuning the tumbling and running motions that are due to clockwise and counterclockwise rotations of their flagella. The pathway is tightly regulated…

分子网络 · 定量生物学 2009-10-09 Daniela Besozzi , Paolo Cazzaniga , Matteo Dugo , Dario Pescini , Giancarlo Mauri

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…

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…

分子网络 · 定量生物学 2019-08-19 Thierry Emonet , Philippe Cluzel

Bacterial chemotaxis has long been viewed as operating near the physical limits of sensing, as originally articulated by Berg and Purcell. Recent information-theoretic analyses challenge this view, suggesting that Escherichia coli uses only…

细胞行为 · 定量生物学 2026-05-06 Robert G. Endres

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…

偏微分方程分析 · 数学 2025-08-20 Jing An , Alexander Kiselev , Yao Yao

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…

偏微分方程分析 · 数学 2020-04-15 Alexander Kiselev , Fedor Nazarov , Lenya Ryzhik , Yao Yao