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The existence of travelling waves for a model of concentration waves of bacteria is investigated. The model consists in a kinetic equation for the biased motion of cells following a run-and-tumble process, coupled with two…

Analysis of PDEs · Mathematics 2016-07-05 Vincent Calvez

Metagenomics has revealed hundreds of bacterial species in almost all microbiota. In a few well-studied cases, bacterial communities have been observed to coordinate their metabolic fluxes. In principle, bacteria can divide tasks to reap…

Populations and Evolution · Quantitative Biology 2016-04-12 Thibaud Taillefumier , Anna Posfai , Yigal Meir , Ned S. Wingreen

We investigate the long term behavior for a class of competition-diffusion systems of Lotka-Volterra type for two competing species in the case of low regularity assumptions on the data. Due to the coupling that we consider the system…

Analysis of PDEs · Mathematics 2008-06-06 Marco Squassina

Controlling the phases of matter is a challenge that spans from condensed materials to biological systems. Here, by imposing a geometric boundary condition, we study controlled collective motion of Escherichia coli bacteria. A circular…

Soft Condensed Matter · Physics 2017-09-01 Kazusa Beppu , Ziane Izri , Jun Gohya , Kanta Eto , Masatoshi Ichikawa , Yusuke T. Maeda

We study the partitioning of motile bacteria in an aqueous two-phase mixture of dextran (DEX) and polyethylene glycol (PEG), which can phase separate into DEX-rich and PEG-rich phases. While non-motile bacteria partition exclusively into…

Soft Condensed Matter · Physics 2024-12-23 Jiyong Cheon , Kyu Hwan Choi , Kevin J. Modica , Robert J. Mitchell , Sho C. Takatori , Joonwoo Jeong

This paper studies a two-dimensional chemotactic model for two species in which one of them produces a chemo-repellent for the other. It is shown asymptotically and numerically how the chemical inhibits the invasion of a moving front for…

Analysis of PDEs · Mathematics 2012-05-03 Carlos Malaga , Antonmaria Minzoni , Ramon G. Plaza , Chiara Simeoni

Ecological resilience refers to the ability of a system to retain its state when subject to state variables perturbations or parameter changes. While understanding and quantifying resilience is crucial to anticipate the possible regime…

Dynamical Systems · Mathematics 2019-05-10 Artur César Fassoni , Denis de Carvalho Braga

The design of protocols to suppress the propagation of viral infections is an enduring enterprise, especially hindered by limited knowledge of the mechanisms through which extinction of infection propagation comes about. We here report on a…

Populations and Evolution · Quantitative Biology 2015-02-18 Jose A. Cuesta , Jacobo Aguirre , Jose A. Capitan , Susanna C. Manrubia

Bacterial cellulose is an important class of biomaterials which can be grown in well-controlled laboratory and industrial conditions. The cellulose structure is affected by several biological, chemical and environmental factors, including…

Biological Physics · Physics 2021-07-28 Sung-Ha Hong , Jia Yang , Mahdi Davoodianidalik , Horst Punzmann , Michael Shats , Hua Xia

Rod-shaped bacteria, such as Escherichia coli, commonly live forming mounded colonies. They initially grow two-dimensionally on a surface and finally achieve three-dimensional growth. While it was recently reported that three-dimensional…

Soft Condensed Matter · Physics 2022-12-23 Takuro Shimaya , Kazumasa A. Takeuchi

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

This study investigates the role of spatial segregation, prompted by competition avoidance, as a key mechanism for emergent coexistence within microbial communities. Recognizing these communities as complex adaptive systems, we challenge…

Physics and Society · Physics 2024-03-12 Mattia Mattei , Alex Arenas

We are interested in the long time behavior of a two-type density-dependent biological population conditioned to non-extinction, in both cases of competition or weak cooperation between the two species. This population is described by a…

Probability · Mathematics 2008-11-04 Patrick Cattiaux , Sylvie Méléard

We study a diffusive Lotka-Volterra competition system with advection under Neumann boundary conditions. Our system models a competition relationship that one species escape from the region of high population density of their competitors in…

Analysis of PDEs · Mathematics 2015-05-28 Chunyi Gai , Qi Wang , Jingda Yan

Understanding flow and transport of bacteria in porous media is crucial to technologies such as bioremediation, biomineralization or enhanced oil recovery. While physicochemical bacteria filtration is well-documented, recent studies showed…

Soft Condensed Matter · Physics 2022-08-24 Marco Dentz , Adama Creppy , Carine Douarche , Eric Clément , Harold Auradou

Spatial evolution is investigated in a simulated system of nine competing and mutating bacterium strains, which mimics the biochemical war among bacteria capable of producing two different bacteriocins (toxins) at most. Random sequential…

Statistical Mechanics · Physics 2009-10-31 Gyorgy Szabo , Tamas Czaran

The global asymptotic behavior of the classical diffusive Lotka-Volterra competition model with stage structure is studied. A complete classification of the global dynamics is given for the weak competition case. It is shown that under…

Dynamical Systems · Mathematics 2019-09-10 Shanshan Chen , Junping Shi

We investigate the controllability of a generalized diffusive Lotka-Volterra competition model for two species, incorporating boundary controls and an interior multiplicative control. Considering a smooth, bounded N-dimensional domain, we…

Analysis of PDEs · Mathematics 2025-11-04 João Carlos Barreira , Maicon Sonego , Enrique Zuazua

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 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