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Proliferation is a defining feature of life. Through growth, division, and death, living systems consume energy and inject mass, breaking conservation laws and driving collective phenomena from biofilm formation to embryonic development.…

Statistical Mechanics · Physics 2026-03-25 Nicola Pellicciotta , Luca Angelani , Roberto Di Leonardo

Growth in bacterial populations generally depends on the environment (availability and quality of nutrients, presence of a toxic inhibitor, product inhibition..). Here, we build a model to describe the action of a bacteriostatic antibiotic,…

Biological Physics · Physics 2025-06-25 Barnabe Ledoux , David Lacoste

We investigate the dynamics of a colony of crawling, proliferating cells with a minimal, mechanical cell model. The cells consist of two disks, modelling the cell body and a pseudopod, connected by a finite extensible spring. The cells…

Cell Behavior · Quantitative Biology 2019-04-11 Simon K. Schnyder , John J. Molina , Ryoichi Yamamoto

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

We investigate the traveling front solutions of a nonlocal Lotka Volterra system to illustrate the outcome of the competition between two species. The existence of the front solution is obtained through a new monotone iteration scheme, the…

Dynamical Systems · Mathematics 2013-06-24 Xiaojie hou , Biao Wang , Zhence Zhang

This paper is concerned with reaction-diffusion systems of two symmetric species in spatial dimension one, having two stable symmetric equilibria connected by a symmetric standing front. The first order variation of the speed of this front…

Analysis of PDEs · Mathematics 2017-03-08 Emmanuel Risler

In addressing the origins of Darwinian evolution, recent experimental work has been focussed on the discovery of simple physical effects which would provide a relevant selective advantage to protocells competing with each other for a…

Quantitative Methods · Quantitative Biology 2014-07-15 Ben Shirt-Ediss , Kepa Ruiz-Mirazo , Fabio Mavelli , Ricard V. Solé

How motile bacteria move near a surface is a problem of fundamental biophysical interest and is key to the emergence of several phenomena of biological, ecological and medical relevance, including biofilm formation. Solid boundaries can…

Biological Physics · Physics 2019-09-12 Stanislaw Makarchuk , Vasco C. Braz , Nuno A. M. Araújo , Lena Ciric , Giorgio Volpe

We introduce a model called Host-Pathogen game for studying biological competitions. Notably, we focus on the invasive dynamics of external agents, like bacteria, within a host organism. The former are mapped to a population of defectors…

Populations and Evolution · Quantitative Biology 2018-09-03 Marco Alberto Javarone

Using game theory we provide mathematical proof that if a species of asexually reproducing microbes does not possess maximum variability in competitive abilities amongst its individual organisms, then that species is vulnerable to…

Populations and Evolution · Quantitative Biology 2020-12-15 Susanne Menden-Deuer , Julie Rowlett

Bacteria frequently colonize natural microcavities such as gut crypts, plant apoplasts, and soil pores. Recent studies have shown that the physical structure of these spaces plays a crucial role in shaping the stability and resilience of…

Populations and Evolution · Quantitative Biology 2025-03-28 Valentin Slepukhin , Víctor Peris Yagüe , Christian Westendorf , Birgit Koch , Oskar Hallatschek

Certain invasive plants may rely on interference mechanisms (allelopathy, e.g.) to gain competitive superiority over native species. But expending resources on interference presumably exacts a cost in another life-history trait, so that the…

Populations and Evolution · Quantitative Biology 2012-06-08 Andrew Allstadt , Thomas Caraco , F. Molnar , G. Korniss

We introduce and analyze a spatial Lotka-Volterra competition model with local and nonlocal interactions. We study two alternative classes of nonlocal competition that differ in how each species' characteristics determine the range of the…

Populations and Evolution · Quantitative Biology 2021-07-14 Gabriel Andreguetto Maciel , Ricardo Martinez-Garcia

The global dynamics of the two-species Lotka-Volterra competition patch model with asymmetric dispersal is classified under the assumptions of weak competition and the weighted digraph of the connection matrix is strongly connected and…

Classical Analysis and ODEs · Mathematics 2022-01-19 Shanshan Chen , Junping Shi , Zhisheng Shuai , Yixiang Wu

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

Cooperation is vital for the survival of a swarm$^1$. Large scale cooperation allows murmuring starlings to outmaneuver preying falcons$^2$, shoaling sardines to outsmart sea lions$^3$, and homo sapiens to outlive their Pleistocene…

Soft Condensed Matter · Physics 2021-01-01 Matan Yah Ben Zion , Alvin Modin , Yaelin Caba , Paul M Chaikin

This paper studies the spreading dynamics of a high-dimensional strong competition Lotka-Volterra system where two species initially occupy disjoint measurable (possibly unbounded) subsets in $\mathbb{R}^N$, which are called initial…

Analysis of PDEs · Mathematics 2026-02-26 Hongjun Guo

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

Adding a non-adsorbing polymer to passive colloids induces an attraction between the particles via the `depletion' mechanism. High enough polymer concentrations lead to phase separation. We combine experiments, theory and simulations to…

Soft Condensed Matter · Physics 2016-07-13 J. Schwarz-Linek , C. Valeriani , A. Cacciuto , M. E. Cates , D. Marenduzzo , A. N. Morozov , W. C. K. Poon

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
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