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Consider a supercritical branching random walk in a time-inhomogeneous random environment. We impose a selection (called barrier) on survival in the following way. The position of the barrier may depend on the generation and the…

Probability · Mathematics 2024-07-02 You Lv

The aim of this paper is to study two models for a bacterial population subject to antibiotic treatments. It is known that some bacteria are sensitive to antibiotics. These bacteria are in a state called persistence and each bacterium can…

Probability · Mathematics 2013-04-15 Fabio Zucca

Genetic variation in a population can sometimes arise so fast as to modify ecosystem dynamics. Such phenomena have been observed in natural predator-prey systems, and characterized in the laboratory as showing unusual phase relationships in…

Populations and Evolution · Quantitative Biology 2025-03-25 Hong-Yan Shih , Nigel Goldenfeld

In a wide variety of natural systems, closely-related microbial strains coexist stably, resulting in high levels of fine-scale biodiversity. However, the mechanisms that stabilize this coexistence are not fully understood. Spatial…

Populations and Evolution · Quantitative Biology 2023-03-29 Casey Barkan , Shenshen Wang

The compartmentalization of distinct templates in protocells and the exchange of templates between them (migration) are key elements of a modern scenario for prebiotic evolution. Here we use the diffusion approximation of population…

Populations and Evolution · Quantitative Biology 2014-03-27 Jose F. Fontanari , Maurizio Serva

We present a two-species population model in a well-mixed environment where the dynamics involves, in addition to birth and death, changes due to environmental factors and inter-species interactions. The novel dynamical components are…

Biological Physics · Physics 2020-09-17 J. J. Dong , J. D. Russo , K. Sampson

We investigate a stochastic individual-based model for the population dynamics of host-virus systems where the microbial hosts may transition into a dormant state upon contact with virions, thus evading infection. Such a contact-mediated…

Populations and Evolution · Quantitative Biology 2022-11-07 Jochen Blath , András Tóbiás

RNA viruses comprise vast populations of closely related, but highly genetically diverse, entities known as quasispecies. Understanding the mechanisms by which this extreme diversity is generated and maintained is fundamental when…

Populations and Evolution · Quantitative Biology 2021-05-27 Luiza Guimarães , Diogo Castro , Bruno Gorzoni , Luiz Mario Ramos Janini , Fernando Antoneli

Based on a recent model of evolving viruses competing with an adapting immune system [1], we study the conditions under which a viral quasispecies can maximize its growth rate. The range of mutation rates that allows viruses to thrive is…

Statistical Mechanics · Physics 2007-05-23 Christel Kamp , Claus O. Wilke , Christoph Adami , Stefan Bornholdt

The emergence of the phenomenon known as ABR (anti-bacterial resistance), is the result of the gradual decrease in the efficacy of antibiotics and the increase in the cost of producing new antibiotics. Hence, alternative solutions to…

Populations and Evolution · Quantitative Biology 2024-02-08 Nouf Alghamdi , Mal Horsburgh , Bakhtier Vasiev

Antigenic variation is the main immune escape mechanism for RNA viruses like influenza or SARS-CoV-2. While high mutation rates promote antigenic escape, they also induce large mutational loads and reduced fitness. It remains unclear how…

Populations and Evolution · Quantitative Biology 2023-07-24 Victor Chardès , Andrea Mazzolini , Thierry Mora , Aleksandra M. Walczak

Antimicrobial resistance (AMR) threatens global health. A promising and underexplored strategy to tackle this problem is sequential therapies exploiting collateral sensitivity (CS), whereby resistance to one drug increases sensitivity to…

Populations and Evolution · Quantitative Biology 2026-05-11 Javier Molina-Hernández , José A. Cuesta , Beatriz Pascual-Escudero , Saúl Ares , Pablo Catalán

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 consider a branching model introduced by Kimmel for cell division with parasite infection. Cells contain proliferating parasites which are shared randomly between the two daughter cells when they divide. We determine the probability that…

Probability · Mathematics 2008-06-28 Vincent Bansaye

Bacterial swarming is a rapid mass-migration, in which thousands of cells spread collectively to colonize a surface. Physically, swarming is a natural example of active particles that use energy to generate motion. Accordingly,…

Soft Condensed Matter · Physics 2019-11-14 Avraham Be`er , Bella Ilkanaiv , Renan Gross , Daniel B. Kearns , Sebastian Heidenreich , Markus Bär , Gil Ariel

We report the spatio-temporal response of {\it Bacillus subtilis} growing on a nutrient-rich layer of agar to ultra-violet (UV) radiation. Below a crossover temperature, the bacteria are confined to regions that are shielded from UV…

Condensed Matter · Physics 2009-10-31 T. Neicu , A. Pradhan , D. A. Larochelle , A. Kudrolli

Antibiotic resistance is a growing public health problem. To gain a fundamental understanding of resistance evolution, a combination of systematic experimental and theoretical approaches is required. Evolution experiments combined with…

Populations and Evolution · Quantitative Biology 2021-05-24 Gabriela Petrungaro , Yuval Mulla , Tobias Bollenbach

We explore the role of cellular life cycles for viruses and host cells in an infection process. For this purpose, we derive a generalized version of the basic model of virus dynamics (Nowak, M.A., Bangham, C.R.M., 1996. Population dynamics…

Populations and Evolution · Quantitative Biology 2008-04-28 Daniel Campos , Vicenç Méndez , Sergei Fedotov

At the end of 2020, policy responses to the SARS-CoV-2 outbreak have been shaken by the emergence of virus variants. The emergence of these more contagious, more severe, or even vaccine-resistant strains have challenged worldwide policy…

Populations and Evolution · Quantitative Biology 2021-03-29 Aymeric Vie

Multiple species in the ecosystem are believed to compete cyclically for survival and thus maintain balance in nature. Stochasticity has also an inevitable role in this dynamics. Considering these attributes of nature, the stochastic…

Populations and Evolution · Quantitative Biology 2020-08-05 Sirshendu Bhattacharyya , Pritam Sinha , Rina De , Chittaranjan Hens