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Background: Living cells of many types need to move in response to external stimuli in order to accomplish their functional tasks; these tasks range from wound healing to immune response to fertilization. While the directional motion is…

Cell Behavior · Quantitative Biology 2015-05-28 Inbal Hecht , Herbert Levine , Wouter-Jan Rappel , Eshel Ben-Jacob

We study single cell E.coli chemotaxis in a spatio-temporally varying attractant environment. Modeling the attractant concentration in the form of a traveling sine wave, we measure in our simulations, the chemotactic drift velocity of the…

Cell Behavior · Quantitative Biology 2025-06-06 Shobhan Dev Mandal , Sakuntala Chatterjee

Chemotaxis, the directional locomotion of cells towards a source of a chemical gradient, is an integral part of many biological processes - for example, bacteria motion, single-cell or multicellular organisms development, immune response,…

Analysis of PDEs · Mathematics 2021-03-29 Yishu Gong , Alexander Kiselev

A common feature of biological self-organization is how active agents communicate with each other or their environment via chemical signaling. Such communications, mediated by self-generated chemical gradients, have consequences for both…

Soft Condensed Matter · Physics 2023-11-07 Babak Vajdi Hokmabad , Suropriya Saha , Jaime Agudo-Canalejo , Ramin Golestanian , Corinna C. Maass

Enzyme-based systems have been shown to undergo directional motion in response to their substrate gradient. Here, we formulate a kinetic model to analyze the directional movement of an ensemble of protein molecules in response to a gradient…

Biological Physics · Physics 2021-03-26 Niladri Sekhar Mandal , Ayusman Sen

Single eukaryotic cells commonly sense and follow chemical gradients, performing chemotaxis. Recent experiments and theories, however, show that even when single cells do not chemotax, clusters of cells may, if their interactions are…

Cell Behavior · Quantitative Biology 2016-07-04 Brian A. Camley , Juliane Zimmermann , Herbert Levine , Wouter-Jan Rappel

Hybrid models of chemotaxis combine agent-based models of cells with partial differential equation models of extracellular chemical signals. In this paper, travelling wave properties of hybrid models of bacterial chemotaxis are…

Biological Physics · Physics 2013-02-13 Benjamin Franz , Chuan Xue , Kevin J. Painter , Radek Erban

We consider a model of congestion dynamics with chemotaxis: The density of cells follows a chemical signal it generates, while subject to an incompressibility constraint. The incompressibility constraint results in the formation of patches,…

Analysis of PDEs · Mathematics 2023-01-18 Inwon Kim , Antoine Mellet , Yijing Wu

A system of $N$ particles in a chemical medium in $\mathbb{R}^{d}$ is studied in a discrete time setting. Underlying interacting particle system in continuous time can be expressed as \begin{eqnarray} dX_{i}(t) &=&[-(I-A)X_{i}(t) +…

Probability · Mathematics 2017-01-10 Abhishek Pal Majumder

We present a new algorithm based on a Cartesian mesh for the numerical approximation of kinetic models for chemosensitive movements set in an arbitrary geometry. We investigate the influence of the geometry on the collective behavior of…

Numerical Analysis · Mathematics 2013-03-12 Francis Filbet , Chang Yang

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

We investigate the boundary between chemotaxis driven by spatial estimation of gradients and chemotaxis driven by temporal estimation. While it is well known that spatial chemotaxis becomes disadvantageous for small organisms at high noise…

Neural and Evolutionary Computing · Computer Science 2024-06-18 Albert Alonso , Julius B. Kirkegaard

Cells move differently on substrates with different elasticities. In particular, the persistence time of their motion is higher on stiffer substrates. We show that this behavior will result in a net transport of cells directed up a…

Biological Physics · Physics 2017-03-09 Elizaveta A. Novikova , Matthew Raab , Dennis E. Discher , Cornelis Storm

Escherichia coli has long been used as a model organism due to the extensive experimental characterization of its pathways and molecular components. Take chemotaxis as an example, which allows bacteria to sense and swim in response to…

Cell Behavior · Quantitative Biology 2015-12-09 Gabriele Micali , Robert G. Endres

Micro-organisms aggregate through chemotaxis against a concentration gradient of signals secreted by themselves. We have numerically studied a model consisting of elements with intracellular dynamics, random walks with a state-dependent…

Statistical Mechanics · Physics 2007-10-31 Masayo Inoue , Kunihiko Kaneko

The classical macroscopic chemotaxis equations have previously been derived from an individual-based description of the tactic response of cells that use a "run-and-tumble" strategy in response to environmental cues. Here we derive…

Cell Behavior · Quantitative Biology 2007-05-23 Radek Erban , Hans G. Othmer

Bacterial cells navigate around their environment by directing their movement along chemical gradients. This process, known as chemotaxis, can promote the rapid expansion of bacterial populations into previously unoccupied territories.…

Populations and Evolution · Quantitative Biology 2022-06-08 Avaneesh V. Narla , Jonas Cremer , Terry Hwa

A simple model is studied for the chemotactic movement of biological cells in the presence of a periodic chemical wave. It incorporates the feature of adaptation that may play an important role in allowing for ``rectified" chemotaxis:…

Condensed Matter · Physics 2009-10-28 Raymond E. Goldstein

Molecular dynamics simulations are an important tool for describing the evolution of a chemical system with time. However, these simulations are inherently held back either by the prohibitive cost of accurate electronic structure theory…

Chemical Physics · Physics 2018-12-20 Michael Gastegger , Philipp Marquetand

The collective chemotaxis of multicellular clusters is an important phenomenon in various physiological contexts, ranging from embryonic development to cancer metastasis. Such clusters often display interesting shape dynamics and…

Tissues and Organs · Quantitative Biology 2025-06-03 Monika Sanoria , Gema Malet-Engra , Giorgio Scita , Nir Gov , Ajay Gopinathan