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We study colonies of non-motile, rod-shaped bacteria growing on solid substrates. In our model, bacteria interact purely mechanically, by pushing each other away as they grow, and consume a diffusing nutrient. We show that mechanical…

Biological Physics · Physics 2015-06-15 F. D. C. Farrell , O. Hallatschek , D. Marenduzzo , B. Waclaw

Bacterial conglomerates such as biofilms and microcolonies are ubiquitous in nature and play an important role in industry and medicine. In contrast to well-mixed, diluted cultures routinely used in microbial research, bacteria in a…

Biological Physics · Physics 2017-01-13 Fred F. Farrell , Matti Gralka , Oskar Hallatschek , Bartlomiej Waclaw

Advances in synthetic biology allow us to engineer bacterial collectives with pre-specified characteristics. However, the behavior of these collectives is difficult to understand, as cellular growth and division as well as extra-cellular…

Cell Behavior · Quantitative Biology 2017-09-13 James J. Winkle , Oleg Igoshin , Matthew R. Bennett , Krešimir Josić , William Ott

Periodic reversals of the direction of motion in systems of self-propelled rod shaped bacteria enable them to effectively resolve traffic jams formed during swarming and maximize their swarming rate. In this paper, a connection is found…

Biological Physics · Physics 2015-03-17 Richard Gejji , Pavel M. Lushnikov , Mark Alber

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…

This study builds upon a model proposed by Joanny and collaborators that examines the dynamics of interfaces between two distinct cell populations, particularly during tumor growth in healthy tissues. This framework leads to the…

Analysis of PDEs · Mathematics 2024-09-20 Juan Campos , Carlos Pulido , Juan Soler

We study the spreading of a bacterial colony undergoing turbulent like collective motion. We present two minimalistic models to investigate the interplay between population growth and coherent structures arising from turbulence. Using…

Fluid Dynamics · Physics 2017-04-06 Rayan Chatterjee , Abhijeet A. Joshi , Prasad Perlekar

The dispersal of cells from an initially constrained location is a crucial aspect of many physiological phenomena ranging from morphogenesis to tumour spreading. In such processes, the way cell-cell interactions impact the motion of single…

We present a new kinetic equation for cell migration driven by mechanical interactions with the substrate, an effect not previously captured in kinetic models, and essential for explaining observed collective behaviors such as those in…

Analysis of PDEs · Mathematics 2026-01-12 Benoît Perthame , Francesco Salvarani , Shugo Yasuda

The spreading of bacterial populations is central to processes in agriculture, the environment, and medicine. However, existing models of spreading typically focus on cells in unconfined settings--despite the fact that many bacteria inhabit…

Populations and Evolution · Quantitative Biology 2022-06-07 Daniel B. Amchin , Jenna A. Ott , Tapomoy Bhattacharjee , Sujit S. Datta

Bacteria can adjust the structure of colonies and biofilms to enhance their survival rate under external stress. Here, we explore the link between bacterial interaction forces and colony structure. We show that the activity of extracellular…

In this paper we present an individual-based mechanical model that describes the dynamics of two contiguous cell populations with different proliferative and mechanical characteristics. An off-lattice modelling approach is considered…

Analysis of PDEs · Mathematics 2020-01-14 Tommaso Lorenzi , Philip J. Murray , Mariya Ptashnyk

Stochastic models of diffusion with excluded-volume effects are used to model many biological and physical systems at a discrete level. The average properties of the population may be described by a continuum model based on partial…

Chemical Physics · Physics 2012-12-20 Maria Bruna , S. Jonathan Chapman

Bacteriophages spreading through populations of bacteria offer relatively simple, tuneable systems for testing mathematical models of range expansion. However, such models typically assume a static state into which to expand, which is not…

Soft Condensed Matter · Physics 2024-04-02 Rory Claydon , Samuel Gartenstein , Aidan T. Brown

Mechanical stresses stemming from environmental factors are a key determinant of cellular behavior and physiology. Yet, the role of self-induced biomechanical stresses in growing bacterial colonies has remained largely unexplored. Here, we…

Soft Condensed Matter · Physics 2023-11-27 René Wittmann , G. H. Philipp Nguyen , Hartmut Löwen , Fabian J. Schwarzendahl , Anupam Sengupta

In this work we approach cell migration under a large-scale assumption, so that the system reduces to a particle in motion. Unlike classical particle models, the cell displacement results from its internal activity: the cell velocity is a…

Cell Behavior · Quantitative Biology 2018-08-02 Christèle Etchegaray , Nicolas Meunier

To model the morphogenesis of rod-shaped bacterial micro-colony, several individual-based models have been proposed in the biophysical literature. When studying the shape of micro-colonies, most models present interaction forces such as…

Cell Behavior · Quantitative Biology 2020-08-12 Marie Doumic , Sophie Hecht , Diane Peurichard

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

Many mathematical models for biological phenomena, such as the spread of diseases, are based on reaction-diffusion equations for densities of interacting cell populations. We present a consistent derivation of reaction-diffusion equations…

Analysis of PDEs · Mathematics 2026-02-23 Marzia Bisi , Davide Cusseddu , Ana Jacinta Soares , Romina Travaglini

Bacteria possess diverse mechanisms to regulate their motility in response to environmental and physiological signals, enabling them to navigate complex habitats and adapt their behavior. Among these mechanisms, interspecies recognition…

Populations and Evolution · Quantitative Biology 2025-12-01 Mattia Mattei , David Soriano Paños , Mahantesh Halappanavar , Alex Arenas
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