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Eukaryotic cells perform chemotaxis by determining the direction of chemical gradients based on stochastic sensing of concentrations at the cell surface. To examine the efficiency of this process, previous studies have investigated the…

Cell Behavior · Quantitative Biology 2025-02-06 Kento Nakamura , Tetsuya J. Kobayashi

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

Eukaryotic cells respond to a chemoattractant gradient by forming intracellular gradients of signaling molecules that reflect the extracellular chemical gradient - an ability called directional sensing. Quantitative experiments have…

Cell Behavior · Quantitative Biology 2017-02-08 Keita Kamino , Yohei Kondo

Determining kinetic rate constants is a highly relevant problem in biochemistry, so various methods have been designed to extract them from experimental data. Such methods have two main components: the experimental apparatus and the…

Quantitative Methods · Quantitative Biology 2017-08-04 József Vass , Sergey N. Krylov

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

In contexts ranging from embryonic development to bacterial ecology, cell populations migrate chemotactically along self-generated chemical gradients, often forming a propagating front. Here, we theoretically show that the stability of such…

Biological Physics · Physics 2022-06-07 Ricard Alert , Alejandro Martínez-Calvo , Sujit S. Datta

The signaling apparatus mediating bacterial chemotaxis can adapt to a wide range of persistent external stimuli. In many cases, the bacterial activity returns to its pre-stimulus level exactly and this "perfect adaptability" is robust…

Biological Physics · Physics 2017-10-16 Bernardo A. Mello , Yuhai Tu

It is widely recognized that reciprocal interactions between cells and their microenvironment, via mechanical forces and biochemical signaling pathways, regulate cell behaviors during normal development, homeostasis and disease progression…

Biological Physics · Physics 2024-12-05 Nonthakorn Olaranont , Chaozhen Wei , John Lowengrub , Min Wu

The spread of metastases is a crucial process in which some questions remain unanswered. In this work, we focus on tumor cells circulating in the bloodstream, the so-called Circulating Tumor Cells (CTCs). Our aim is to characterize their…

Tissues and Organs · Quantitative Biology 2025-01-22 Giorgia Ciavolella , Julien Granet , Jacky Goetz , Nael Osmani , Christèle Etchegaray , Annabelle Collin

Chemotaxis in bacteria such as \textit{E.\ coli} is controlled by the slow methylation of chemoreceptors. As a consequence, intrinsic time and length scales of tens of seconds and hundreds of micrometers emerge, making the Keller--Segel…

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

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

A binary fluid mixture in contact with lateral particle reservoirs is considered. By imposing different particle concentrations in these reservoirs, the system can be maintained under controlled non-equilibrium conditions. Previous…

Statistical Mechanics · Physics 2026-04-01 O. Politano , Alejandro L. Garcia , F. Baras , M. Malek Mansour

Bacteria track chemical gradients using a biased random walk, a process called chemotaxis. Experiments suggest that bacteria also communicate during this process. Using a mathematical model, we find that sufficiently strong communication…

Biological Physics · Physics 2025-12-18 Soutick Saha , Sean Fancher , Andrew Mugler

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

Physical models often contain unknown functions and relations. In order to gain more insights into the nature of physical processes, these unknown functions have to be identified or reconstructed. Mathematically, we can formulate this…

Optimization and Control · Mathematics 2026-05-19 Jan Bartsch , Ahmed A. Barakat , Simon Buchwald , Gabriele Ciaramella , Stefan Volkwein , Eva M. Weig

We present a computational procedure to characterize the signs of sensitivities of steady states to parameter perturbations in chemical reaction networks.

Quantitative Methods · Quantitative Biology 2013-12-31 Eduardo D. Sontag

Chemotaxis and haptotaxis have been a main theme in the macroscopic study of bacterial and cellular motility. In this work we investigate the influence these processes have on the shape and motility of fast migrating cells. We note that…

Cell Behavior · Quantitative Biology 2016-12-08 Aaron Brunk , Niklas Kolbe , Nikolaos Sfakianakis

{\sl Escherichia coli} ({\sl E. coli}) bacteria govern their trajectories by switching between running and tumbling modes as a function of the nutrient concentration they experienced in the past. At short time one observes a drift of the…

Statistical Mechanics · Physics 2011-12-08 Sakuntala Chatterjee , Rava Azeredo da Silveira , Yariv Kafri

Through evolution, bacteria have developed the ability to perform chemotactic motion in order to find nourishment. By adopting a machine learning approach, we aim to understand how this behavior arises. We consider run-and-tumble agents…

Soft Condensed Matter · Physics 2026-01-13 Nicholas Tovazzi , Gorka Muñoz-Gil , Michele Caraglio

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