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Chemotaxis refers to the directed movement of cells in response to a chemical signal called chemoattractant. A crucial point in the mathematical modeling of chemotactic processes is the correct description of the chemotactic sensitivity and…

Analysis of PDEs · Mathematics 2015-01-08 Herbert Egger , Jan-Frederik Pietschmann , Matthias Schlottbom

We present a two-species population model in a well-mixed environment where the dynamics involves, in addition to birth and death, changes due to environmental factors and inter-species interactions. The novel dynamical components are…

Biological Physics · Physics 2020-09-17 J. J. Dong , J. D. Russo , K. Sampson

Bacteria are highly adaptive microorganisms that thrive in a wide range of growth conditions via changes in cell morphologies and macromolecular composition. How bacterial morphologies are regulated in diverse environmental conditions is a…

Cell Behavior · Quantitative Biology 2021-10-26 Diana Serbanescu , Nikola Ojkic , Shiladitya Banerjee

The dynamics of growth of bacterial populations has been extensively studied for planktonic cells in well-agitated liquid culture, in which all cells have equal access to nutrients. In the real world, bacteria are more likely to live in…

Populations and Evolution · Quantitative Biology 2017-11-01 Xinxian Shao , Andrew Mugler , Justin Kim , Ha Jun Jeong , Bruce Levin , Ilya Nemenman

We have developed and implemented a numerical evolution scheme for a class of stochastic problems in which the temporal evolution occurs on widely-separated time scales, and for which the slow evolution can be described in terms of a small…

Computational Physics · Physics 2009-09-29 S. Setayeshgar , C. W. Gear , H. G. Othmer , I. G. Kevrekidis

Living systems contain intricate biochemical networks whose structure is closely related to their function and allows them to exhibit robust behavior in the presence of external stimuli. Such networks typically involve catalytic enzymes,…

Biological Physics · Physics 2025-10-27 Vincent Ouazan-Reboul , Ramin Golestanian , Jaime Agudo-Canalejo

Chemotaxis of bacterial swimmers that move in a run-and-turn pattern is well studied in uniform bulk fluid. It is primarily based on modulating the run time in dependence on the swimming direction with respect to the source of…

Soft Condensed Matter · Physics 2025-03-10 Sönke Beier , Veronika Pfeifer , Agniva Datta , Robert Großmann , Carsten Beta

In nature, bacterial collectives typically consist of multiple species, which are interacting both biochemically and physically. Nonetheless, past studies on the physical properties of swarming bacteria were focused on axenic (single…

Biological Physics · Physics 2022-06-15 Ajesh Jose , Gil Ariel , Avraham Be'er

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

Bacteria build multicellular communities termed biofilms, which are often encased in a self-secreted extracellular matrix that gives the community mechanical strength and protection against harsh chemicals. How bacteria assemble distinct…

Biological Physics · Physics 2023-09-27 Jakub A. Kochanowski , Bobby Carroll , Merrill E. Asp , Emma Kaputa , Alison E. Patteson

The Brownian dynamics of a single microorganism coupled by chemotaxis to a diffusing concentration field which is secreted by the microorganism itself is studied by computer simulations in spatial dimensions $d=1,2,3$. Both cases of a…

Soft Condensed Matter · Physics 2015-05-13 Ankush Sengupta , Sven van Teeffelen , Hartmut Löwen

Cells encounter a diverse array of physical and chemical signals as they navigate their natural surroundings. However, their response to the simultaneous presence of multiple cues remains elusive. Particularly, the impact of topography…

Analysis of PDEs · Mathematics 2026-03-10 Valeria Cuentas , Elio Espejo

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

Bacterial processes ranging from gene expression to motility and biofilm formation are constantly challenged by internal and external noise. While the importance of stochastic fluctuations has been appreciated for chemotaxis, it is…

Biological Physics · Physics 2011-07-13 Knut Drescher , Jörn Dunkel , Luis H. Cisneros , Sujoy Ganguly , Raymond E. Goldstein

Chemotaxis is the process by which cells behave in a way that follows the chemical gradient. Applications to bacteria growth, tissue inflammation, and vascular tumors provide a focus on optimization strategies. Experiments can characterize…

Optimization and Control · Mathematics 2007-07-18 K. Renee Fister , Maeve L. McCarthy

Collective cell migration plays a central role in tissue development, morphogenesis, wound repair and cancer progression. With the growing realization that physical forces mediate cell motility in development and physiology, a key…

Biological Physics · Physics 2018-12-07 Shiladitya Banerjee , M. Cristina Marchetti

Various microorganisms and some mammalian cells are able to swim in viscous fluids by performing nonreciprocal body deformations, such as rotating attached flagella or by distorting their entire body. In order to perform chemotaxis, i.e. to…

Biological Physics · Physics 2021-05-06 Benedikt Hartl , Maximilian Hübl , Gerhard Kahl , Andreas Zöttl

We propose a continuum model for pattern formation, based on the multiphase model framework, to explore in vitro cell patterning within an extracellular matrix. We demonstrate that, within this framework, chemotaxis-driven cell migration…

Cell Behavior · Quantitative Biology 2022-11-21 Georgina Al-Badri , James B. Phillips , Rebecca J. Shipley , Nicholas C. Ovenden

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…

Molecular Networks · Quantitative Biology 2009-10-09 Daniela Besozzi , Paolo Cazzaniga , Matteo Dugo , Dario Pescini , Giancarlo Mauri

Aerotaxis is the ability of motile cells to navigate toward oxygen. A key question is the dependence of the aerotactic velocity with the local oxygen concentration c. Here we combine simultaneous bacteria tracking and local oxygen…

Biological Physics · Physics 2022-09-16 J. Bouvard , C. Douarche , P. Mergaert , H. Auradou , F. Moisy