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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

We consider a reaction-diffusion system with discontinuous reaction terms modeled by non-ideal relays. The system is motivated by an epigenetic population model of evolution of two-phenotype bacteria which switch phenotype in response to…

Analysis of PDEs · Mathematics 2014-11-04 Pavel Gurevich , Dmitrii Rachinskii

Immotile microbes inhabit nearly every environment on Earth, from soils and sediments to food matrices -- yet how they disperse through these physically confining environments is poorly understood. Here, we show that immotile microbial…

We report a novel morphological transition in a Bacillus subtilis colony initially growing under ambient conditions, after ultraviolet radiation exposure. The bacteria in the central regions of the colonies are observed to migrate towards…

Condensed Matter · Physics 2009-11-07 Anna M. Delprato , Azadeh Samadani , A. Kudrolli , L. S. Tsimring

It has been argued that there is biological and modeling evidence that a non-linear diffusion coefficient of the type D(b) = D_0 b^{k} underlies the formation of a number of growth patterns of bacterial colonies. We study a…

Statistical Mechanics · Physics 2016-08-31 J. Mueller , W. van Saarloos

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

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…

We study systems of reaction-diffusion equations with discontinuous spatially distributed hysteresis in the right-hand side. The input of hysteresis is given by a vector-valued function of space and time. Such systems describe hysteretic…

Analysis of PDEs · Mathematics 2013-09-27 Pavel Gurevich , Sergey Tikhomirov

We study the growth of a population of bacteria in a dynamical hostile environment corresponding to the immune system of the colonised organism. The immune cells evolve as subcritical open clusters of oriented percolation and are…

Populations and Evolution · Quantitative Biology 2013-10-07 Olivier Garet , Régine Marchand

The transition from localized to systemic spreading of bacteria, viruses and other agents is a fundamental problem that spans medicine, ecology, biology and agriculture science. We have conducted experiments and simulations in a simple…

Populations and Evolution · Quantitative Biology 2009-11-10 Anna L. Lin , Bernward A. Mann , Gelsy Torres-Oviedo , Bryan Lincoln , Josef Kas , Harry L. Swinney

The diffusion of particles in complex media has gained significant interest due to its dual relevance: probing the viscoelastic properties of materials via microrheology and assessing the extent of particle displacement over time. In this…

Soft Condensed Matter · Physics 2025-06-24 Fabian A. Garcia Daza , Alvaro Rodriguez-Rivas , Fernando Govantes , Alejandro Cuetos

During colony growth, complex interactions regulate the bacterial orientation, leading to the formation of large-scale ordered structures, including topological defects and microdomains. These structures may benefit bacterial strains,…

Biological Physics · Physics 2024-04-10 Mustafa Başaran , Y. Ilker Yaman , Tevfik Can Yuce , Roman Vetter , Askin Kocabas

Proteus mirabilis are bacteria that make strikingly regular spatial-temporal patterns on agar surfaces. In this paper we investigate a mathematical model that has been shown to display these structures when solved numerically. The model…

Populations and Evolution · Quantitative Biology 2008-01-09 Philippe Laurençot , Christoph Walker

In this paper, experimental data is presented and a simple model is developed for the time evolution of a F-amp \textit{E. Coli} culture population. In general, the bacteria life cycle as revealed by monitoring a culture's population…

Populations and Evolution · Quantitative Biology 2019-12-19 Atanu Chatterjee , Nicholas Mears , Abigail Charest , Saad Algarni , Germano Iannnacchione

We present a proof-of-concept of a model comparison approach for analyzing spatio-temporal observations of interacting populations. Our model variants are a collection of structurally similar Bayesian networks. Their distinct Noisy-Or…

Methodology · Statistics 2024-10-08 Nat Kendal-Freedman , Joseph Victor Fiorillo Meleshko , Aaron Yip , Brian Ingalls

The emergent spatial patterns generated by growing bacterial colonies have been the focus of intense study in physics during the last twenty years. Both experimental and theoretical investigations have made possible a clear qualitative…

Statistical Mechanics · Physics 2011-08-10 Juan A. Bonachela , Carey D. Nadell , Joao B. Xavier , Simon A. Levin

Models based on surfactant driven instabilities have been employed to describe pattern formation by swarming bacteria. However, by definition, such models cannot account for the effect of bacterial sensing and decision making. Here we…

Motile bacteria can migrate along chemical gradients in a process known as chemotaxis. When exposed to uniform environmental stress, Escherichia coli cells coordinate their chemotactic responses to form millimeter-sized condensates…

Biological Physics · Physics 2025-05-02 Nir Livne , Ady Vaknin , Oded Agam

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

Gut microbial composition has been linked to multiple health outcomes. Yet, temporal analysis of this composition had been limited to deterministic models. In this paper, we introduce a probabilistic model for the dynamics of intestinal…

Quantitative Methods · Quantitative Biology 2018-09-03 Ruiqi Zhong , Tyler Joseph , Joao B Xavier , Itsik Pe'er