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A central problem in population ecology is understanding the consequences of stochastic fluctuations. Analytically tractable models with Gaussian driving noise have led to important, general insights, but they fail to capture rare,…

种群与进化 · 定量生物学 2017-12-08 Brandon H. Schlomann

This investigation is a part of a research program aiming to characterize the extreme behavior possible in hydrodynamic models by analyzing the maximum growth of certain fundamental quantities. We consider here the rate of growth of the…

流体动力学 · 物理学 2018-01-17 Dongfang Yun , Bartosz Protas

This paper is a continuation of [2] where a new model of biological invasions in the plane directed by a line was introduced. Here we include new features such as transport and reaction terms on the line. Their interaction with the pure…

偏微分方程分析 · 数学 2015-06-15 Henri Berestycki , Jean-Michel Roquejoffre , Luca Rossi

Phenotypes of individuals in a population of organisms are not fixed. Phenotypic fluctuations, which describe temporal variation of the phenotype of an individual or individual-to-individual variation across a population, are present in…

种群与进化 · 定量生物学 2018-08-15 Hong-Yan Shih , Harry Mickalide , David T. Fraebel , Nigel Goldenfeld , Seppe Kuehn

Biological pattern formation is one of the most intriguing phenomena in nature. Simplest examples of such patterns are represented by travelling waves and stationary periodic patterns which occur during various biological processes…

偏微分方程分析 · 数学 2024-06-12 Valentina Bucur , Bakhtier Vasiev

Spontaneous pattern formation in living systems is driven by reaction-diffusion chemistry and active mechanics. The feedback between chemical and mechanical forces is often essential to robust pattern formation, yet it remains poorly…

软凝聚态物质 · 物理学 2022-01-20 Clara del Junco , André Estevez-Torres , Ananyo Maitra

We investigate the influence of fluid flows on the propagation of chemical fronts arising in FKPP type models. We develop an asymptotic theory for the front speed in a cellular flow in the limit of small molecular diffusivity and fast…

流体动力学 · 物理学 2014-07-16 Alexandra Tzella , Jacques Vanneste

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…

种群与进化 · 定量生物学 2012-05-01 Kirill S Korolev , Melanie J I Müller , Nilay Karahan , Andrew W Murray , Oskar Hallatschek , David R Nelson

We study zero-range processes which are known to exhibit a condensation transition, where above a critical density a non-zero fraction of all particles accumulates on a single lattice site. This phenomenon has been a subject of recent…

统计力学 · 物理学 2015-03-14 Paul Chleboun , Stefan Grosskinsky

The rate at which individual bacterial cells grow depends on the concentrations of cellular components such as ribosomes and proteins. These concentrations continuously fluctuate over time and are inherited from mother to daughter cells,…

种群与进化 · 定量生物学 2024-08-21 Yaïr Hein , Farshid Jafarpour

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…

生物物理 · 物理学 2017-01-13 Fred F. Farrell , Matti Gralka , Oskar Hallatschek , Bartlomiej Waclaw

Microorganisms live in inherently dynamic environments where fluctuations in biotic and abiotic factors shape their behaviour, physiology, and fitness. The concept of ecological memory: the lasting imprint of prior environmental cues,…

生物物理 · 物理学 2026-03-02 Narges Kakavand , Anupam Sengupta

Controlling bacterial surface adhesion and subsequent biofilm formation in fluid systems is crucial for the safety and efficacy of medical and industrial processes. Here, we theoretically examine the transport of bacteria close to surfaces,…

软凝聚态物质 · 物理学 2025-07-08 Edwina F. Yeo , Benjamin J. Walker , Philip Pearce , Mohit P. Dalwadi

The growth and evolution of microbial populations is often subjected to advection by fluid flows in spatially extended environments, with immediate consequences for questions of spatial population genetics in marine ecology, planktonic…

种群与进化 · 定量生物学 2022-08-26 Roberto Benzi , David R. Nelson , Suraj Shankar , Federico Toschi , Xiaojue Zhu

In this paper we address some modelling issues related to biological growth. Our treatment is based on a recently-proposed, general formulation for growth within the context of Mixture Theory (Journal of the Mechanics and Physics of Solids,…

组织与器官 · 定量生物学 2011-11-09 H. Narayanan , E. M. Arruda , K. Grosh , K. Garikipati

The source term in a reaction-diffusion system, in general, does not involve explicit time dependence. A class of self-limiting growth models dealing with animal and tumor growth and bacterial population in a culture, on the other hand are…

生物物理 · 物理学 2009-11-07 Sandip Kar , Suman Kumar Banik , Deb Shankar Ray

Conjugation accelerates bacterial evolution by enabling bacteria to acquire genes horizontally from their neighbors. Plasmid donors must physically encounter and connect with recipients to allow plasmid transfer, and different environments…

生物物理 · 物理学 2025-08-08 Matti Zbinden , Jana S. Huisman , Natasha Blitvic , Roman Stocker , Jonasz Słomka

Experiments have recently shown the feasibility of utilising bacteria as micro-scale robotic devices, with special attention paid to the development of bacteria-driven micro-swimmers taking advantage of built-in actuation and sensing…

软凝聚态物质 · 物理学 2019-02-14 Christian Esparza Lopez , Albane Thery , Eric Lauga

Bacterial processes ranging from gene expression to motility and biofilm formation are constantly challenged by internal and external noise. While the importance of stochastic fluctuations has been appreciated for chemotaxis, it is…

生物物理 · 物理学 2011-07-13 Knut Drescher , Jörn Dunkel , Luis H. Cisneros , Sujoy Ganguly , Raymond E. Goldstein

Boundary-catalytic branching processes describe a broad class of natural phenomena where the population of diffusing particles grows due to their spontaneous binary branching (e.g., division, fission or splitting) on a catalytic boundary…

统计力学 · 物理学 2026-03-05 Denis S. Grebenkov , Yilin Ye