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Spatial self-organization emerges in distributed systems exhibiting local interactions when nonlinearities and the appropriate propagation of signals are at work. These kinds of phenomena can be modeled with different frameworks, typically…

Cell Behavior · Quantitative Biology 2016-11-23 Adriano Bonforti , Salva Duran-Nebreda , Raul Montañez , Ricard Solé

We study pattern formation in a chemotaxis model of bacteria and soil carbon dynamics as an example system where transient dynamics can give rise to pattern formation outside of Turing unstable regimes. We use a detailed analysis of the…

Bacterial colonies growing on surfaces are shaped by mechanical stresses transmitted through the community, governed by the balance between cell growth and steric and cell-substrate interactions. Using overdamped dynamics simulations of…

Soft Condensed Matter · Physics 2026-01-14 Samaneh Rahbar , Ludger Santen , Reza Shaebani

The activity of growing living bacteria was investigated using real-time and in situ rheology -- in stationary and oscillatory shear. Two different strains of the human pathogen Staphylococcus aureus -- strain COL and its isogenic cell wall…

Biological Physics · Physics 2015-06-19 P. Patricio , P. L. Almeida , R. Portela , R. G. Sobral , I. R. Grilo , T. Cidade , C. R. Leal

This paper concerns a general class of PDE-ODE reaction-diffusion systems, which features a singular fast-reaction limit towards a reaction-diffusion equation coupled to a scalar hysteresis operator. As prototypical application, we present…

Analysis of PDEs · Mathematics 2018-07-05 Klemens Fellner , Christian Münch

Nutrient limitation is one of the most common triggers of antibiotic tolerance and persistence. Here, we present two microfluidic setups to study how spatial and temporal variation in nutrient availability lead to increased survival of…

Quantitative Methods · Quantitative Biology 2020-10-29 Stefany Moreno-Gámez , Alma Dal Co , Simon van Vliet , Martin Ackermann

This is supplementary information for arXiv:1204.4896, which also appeared in Physical Biology 9, 026008 (2012). Main text abstract: Evolutionary experiments with microbes are a powerful tool to study mutations and natural selection. These…

Populations and Evolution · Quantitative Biology 2012-05-01 Kirill S Korolev , Melanie J I Müller , Nilay Karahan , Andrew W Murray , Oskar Hallatschek , David R Nelson

Self-sustained turbulent structures have been observed in a wide range of living fluids, yet no quantitative theory exists to explain their properties. We report experiments on active turbulence in highly concentrated 3D suspensions of…

We present a generic mechanism by which reproducing microorganisms, with a diffusivity that depends on the local population density, can form stable patterns. It is known that a decrease of swimming speed with density can promote separation…

Populations and Evolution · Quantitative Biology 2010-07-13 M. E. Cates , D. Marenduzzo , I. Pagonabarraga , J. Tailleur

Biofilms are ubiquitous macro-colonies of bacteria that develop at various interfaces (solid-liquid, solid-gas or liquid-gas). The formation of biofilms starts with the attachment of individual bacteria to an interface, where they…

Biological Physics · Physics 2016-11-03 Sarah Trinschek , Karin John , Uwe Thiele

Despite the importance that fluid flow plays in transporting and organizing populations, few laboratory systems exist to systematically investigate the impact of advection on their spatial evolutionary dynamics. To address this problem, we…

Soft Condensed Matter · Physics 2019-07-03 Severine Atis , Bryan T. Weinstein , Andrew W. Murray , David R. Nelson

Bacteria populations rely on mechanisms such as quorum sensing to coordinate complex tasks that cannot be achieved by a single bacterium. Quorum sensing is used to measure the local bacteria population density, and it controls cooperation…

Cell Behavior · Quantitative Biology 2018-02-14 Adam Noel , Yuting Fang , Nan Yang , Dimitrios Makrakis , Andrew W. Eckford

The large-scale collective behavior of biological systems can be characterized by macroscopic transport, which arises from the non-equilibrium microscopic interactions among individual constituents. A prominent example is the formation of…

Statistical Mechanics · Physics 2025-07-29 Subhadip Chakraborti , Vasily Zaburdaev

The interactions between diffusing molecules and membrane-bound receptors drive numerous cellular processes. In this work, we develop a spatial model of molecular interactions with membrane receptors by homogenizing the cell membrane and…

Quantitative Methods · Quantitative Biology 2025-01-24 Anil Cengiz , Sean D Lawley

We present a mathematical model based on a system of partial differential equations (PDEs) with cross-diffusion and reaction terms to describe ecological interactions between multiple bacterial species and substrates within microaggregates,…

Populations and Evolution · Quantitative Biology 2025-12-16 Viktoria Freingruber , Rebeca Gonzalez-Cabaleiro , Havva Yoldaş

An explicit proposal for experiments leading to abrupt transitions in spatially extended bacterial populations in a Petri dish is presented on the basis of an exact formula obtained through an analytic theory. The theory provides accurately…

Adaptation and Self-Organizing Systems · Physics 2009-11-13 V. M. Kenkre , Niraj Kumar

A new kinetic model for the dynamics of myxobacteria colonies on flat surfaces is derived formally, and first analytical and numerical results are presented. The model is based on the assumption of hard binary collisions of two different…

Analysis of PDEs · Mathematics 2020-08-10 Sabine Hittmeir , Laura Kanzler , Angelika Manhart , Christian Schmeiser

Anaerobic processes (e.g., methanogenesis and fermentation) largely contribute to element cycling and natural contaminant attenuation/mobilization, even in well-oxygenated porous environments, such as shallow aquifers. This paradox is…

Biological Physics · Physics 2022-11-24 Giulia Ceriotti , Sergey M. Borisov , Jasmine Berg , Pietro de Anna

In natural environments, solid surfaces present both opportunities and challenges for bacteria. On one hand, they serve as platforms for biofilm formation, crucial for bacterial colonization and resilience in harsh conditions. On the other…

Biological Physics · Physics 2025-07-01 Antai Tao , Guangzhe Liu , Rongjing Zhang , Junhua Yuan

The transition from monolayers to multilayered structures in bacterial colonies is a fundamental step in biofilm development. Observed across different morphotypes and species, this transition is triggered within freely growing bacterial…

Soft Condensed Matter · Physics 2021-03-16 Zhihong You , Daniel J. G. Pearce , Anupam Sengupta , Luca Giomi