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We provide a Galton--Watson model for the growth of a bacterial population in the presence of antibiotics. We assume that bacterial cells either die or duplicate, and the corresponding probabilities depend on the concentration of the…

Applications · Statistics 2021-04-26 Anita Bogdanov , Péter Kevei , Máté Szalai , Dezső Virok

The expansion of biological species in natural environments is usually described as the combined effect of individual spatial dispersal and growth. In the case of aquatic ecosystems flow transport can also be extremely relevant as an extra,…

Biological Physics · Physics 2016-08-30 Francesca Tesser , Jos C. H. Zeegers , Herman J. H. Clercx , Luc Brunsveld , Federico Toschi

The evolution of antibiotic resistance among bacteria threatens our continued ability to treat infectious diseases. The need for sustainable strategies to cure bacterial infections has never been greater. So far, all attempts to restore…

Populations and Evolution · Quantitative Biology 2015-06-12 Christiane P. Goulart , Mentar Mahmudi , Kristina A. Crona , Stephen D. Jacobs , Marcelo Kallmann , Barry G. Hall , Devin C. Greene , Miriam Barlow

Prolonged lag time can be induced by starvation contributing to the antibiotic tolerance of bacteria. We analyze the optimal lag time to survive and grow the iterative and stochastic application of antibiotics. A simple model shows that the…

Biological Physics · Physics 2020-05-19 Yusuke Himeoka , Namiko Mitarai

While the mechanisms and quantitative details are complex, few analysts would doubt that antibiotic use increases the prevalence of drug-resistant bacterial pathogens among all bacteria causing disease in a population. The causal connection…

Populations and Evolution · Quantitative Biology 2018-03-21 Edward Goldstein , Derek R. MacFadden , Marc Lipsitch

In many real life applications, a continuous culture bioreactor may cease to function properly due to bioclogging which is typically caused by the microbial overgrowth. This is a problem that has been largely overlooked in the chemostat…

Populations and Evolution · Quantitative Biology 2024-11-11 Xiaochen Duan , Sergei S. Pilyugin

In this work, we study a model of the chemostat where the species are present in two forms, isolated bacteria and under an aggregated form like attached bacteria or bacteria in flocks. We show that our general model contains a lot of models…

Dynamical Systems · Mathematics 2012-03-13 Radhoaune Fekih-Salem , Jérôme Harmand , Claude Lobry , Alain Rapaport , Tewfik Sari

Continuous cultures of mammalian cells are complex systems displaying hallmark phenomena of nonlinear dynamics, such as multi-stability, hysteresis, as well as sharp transitions between different metabolic states. In this context…

Molecular Networks · Quantitative Biology 2019-03-01 Jorge Fernandez-de-Cossio-Diaz , Roberto Mulet

A simulation approach to the stochastic growth of bacterial towers is presented, in which a non-uniform and finite nutrient supply essentially determines the emerging structure through elementary chemotaxis. The method is based on cellular…

Populations and Evolution · Quantitative Biology 2009-11-10 J. O. Indekeu , C. V. Giuraniuc

We model an enclosed system of bacteria, whose motility-induced phase separation is coupled to slow population dynamics. Without noise, the system shows both static phase separation and a limit cycle, in which a rising global population…

Statistical Mechanics · Physics 2017-11-08 Tobias Grafke , Michael E. Cates , Eric Vanden-Eijnden

Comparing future antibiotic resistance levels resulting from different antibiotic treatments is challenging because some patients may survive only under one of the antibiotic treatments. We embed this problem within a semi-competing risks…

Methodology · Statistics 2025-06-12 Tamir Zehavi , Uri Obolski , Michal Chowers , Daniel Nevo

During batch growth on mixtures of two growth-limiting substrates, microbes consume the substrates either sequentially or simultaneously. These growth patterns are manifested in all types of bacteria and yeasts. The ubiquity of these growth…

Cell Behavior · Quantitative Biology 2008-01-09 Jason T. Noel , Atul Narang

We study the interplay of population growth and evolutionary dynamics using a stochastic model based on birth and death events. In contrast to the common assumption of an independent population size, evolution can be strongly affected by…

Populations and Evolution · Quantitative Biology 2012-06-05 Jonas Cremer , Anna Melbinger , Erwin Frey

When planktonic bacteria adhere together to a surface, they begin to form biofilms, or communities of bacteria. Biofilm formation in a host can be extremely problematic if left untreated, especially since antibiotics can be ineffective in…

The signaling apparatus mediating bacterial chemotaxis can adapt to a wide range of persistent external stimuli. In many cases, the bacterial activity returns to its pre-stimulus level exactly and this "perfect adaptability" is robust…

Biological Physics · Physics 2017-10-16 Bernardo A. Mello , Yuhai Tu

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

In this paper we study a nonlinear reaction-diffusion system which models an infectious disease caused by bacteria such as those for cholera. One of the significant features in this model is that a certain portion of the recovered human…

Analysis of PDEs · Mathematics 2022-02-01 Hong-Ming Yin , Jun Zou

Antibiotic resistance constitutes a major health threat. Predicting bacterial causes of infections is key to reducing antibiotic misuse, a leading driver of antibiotic resistance. We train a machine learning algorithm on administrative and…

General Economics · Economics 2019-06-10 Michael Allan Ribers , Hannes Ullrich

Microbial communities are ubiquitous in nature and come in a multitude of forms, ranging from communities dominated by a handful of species to communities containing a wide variety of metabolically distinct organisms. This huge range in…

Biological Physics · Physics 2021-11-02 Amir Erez , Jaime G. Lopez , Yigal Meir , Ned S. Wingreen

Bacterial chemotaxis systems are as diverse as the environments that bacteria inhabit, but how much environmental variation can cells tolerate with a single system? Diversification of a single chemotaxis system could serve as an…

Populations and Evolution · Quantitative Biology 2015-11-30 Nicholas W Frankel , William Pontius , Yann S Dufour , Junjiajia Long , Luis Hernandez- Nunez , Thierry Emonet