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Organisms have evolved immune systems that can counter pathogenic threats. The adaptive immune system in vertebrates consists of a diverse repertoire of immune receptors that can dynamically reorganize to specifically target the…

Populations and Evolution · Quantitative Biology 2024-10-29 Quinn N Bellamy , Zachary Montague , Luca Peliti , Armita Nourmohammad

We investigate the evolutionary rescue of a microbial population in a gradually deteriorating environment, through a combination of analytical calculations and stochastic simulations. We consider a population destined for extinction in the…

Populations and Evolution · Quantitative Biology 2020-12-17 Loïc Marrec , Anne-Florence Bitbol

Cyclic dominance of three species is a commonly occurring interaction dynamics, often denoted the rock-paper-scissors (RPS) game. Such type of interactions is known to promote species coexistence. Here, we generalize recent results of…

Populations and Evolution · Quantitative Biology 2008-09-11 Matti Peltomaki , Mikko Alava

The SIR model is used extensively in the field of epidemiology, in particular, for the analysis of communal diseases. One problem with SIR and other existing models is that they are tailored to random or Erdos type networks since they do…

Social and Information Networks · Computer Science 2014-10-22 M. S. S. Khan

Sequence differences between the strains of bacteria comprising host-associated and environmental microbiota may play a role in community assembly and influence the resilience of microbial communities to disturbances. Tools for…

We introduce a general class of branching Markov processes for the modelling of a parasite infection in a cell population. Each cell contains a quantity of parasites which evolves as a diffusion with positive jumps. The growth rate,…

Probability · Mathematics 2020-11-02 Aline Marguet , Charline Smadi

Ecology and evolution under changing environments are important in many subfields of biology with implications for medicine. Here, we explore an example: the consequences of fluctuating environments on the emergence of antibiotic…

Populations and Evolution · Quantitative Biology 2021-04-13 Bryce Morsky , Dervis Can Vural

Migration between different habitats is ubiquitous among biological populations. In this Letter, we study a simple quasispecies model for evolution in two different habitats, with different fitness landscapes, coupled through one-way…

Populations and Evolution · Quantitative Biology 2010-12-23 Bartlomiej Waclaw , Rosalind J. Allen , Martin R. Evans

We consider a discrete-time host-parasite model for a population of cells which are colonized by proliferating parasites. The cell population grows like an ordinary Galton-Watson process, but in reflection of real biological settings the…

Probability · Mathematics 2015-05-18 Gerold Alsmeyer , Sören Gröttrup

Cells have evolved efficient strategies to probe their surroundings and navigate through complex environments. From metastatic spread in the body to swimming cells in porous materials, escape through narrow constrictions - a key component…

Biological Physics · Physics 2021-10-04 Mathieu Souzy , Antoine Allard , Jean-François Louf , Matteo Contino , Idan Tuval , Marco Polin

Antimicrobial resistance (AMR) poses a mounting global health crisis, requiring rapid and reliable prediction frameworks that capture its complex evolutionary dynamics. Traditional antimicrobial susceptibility testing (AST), while accurate,…

Populations and Evolution · Quantitative Biology 2025-11-18 Anshul Bagaria

We study the generalised rock-paper-scissors game with five species whose organisms face local epidemic outbreaks. As an evolutionary behavioural survival strategy, organisms of one out of the species move in the direction with more enemies…

Populations and Evolution · Quantitative Biology 2022-12-29 J. Menezes , B. Moura , E. Rangel

We introduce a method to prove metastability of the contact process on Erd\H{o}s-R\'enyi graphs and on configuration model graphs. The method relies on uniformly bounding the total infection rate from below, over all sets with a fixed…

Probability · Mathematics 2019-10-18 Eric Cator , Henk Don

One of the most challenging problems in microbiology is to understand how a small fraction of microbes that resists killing by antibiotics can emerge in a population of genetically identical cells, the phenomenon known as persistence or…

Subcellular Processes · Quantitative Biology 2015-06-17 Andrea Rocco , Andrzej M. Kierzek , Johnjoe McFadden

We introduce an interacting particle system that models the spread of an epidemic in terms of heterogeneous diffusive dynamics, rather than exogenous contact and transmission rates at the population level as in classical compartmental…

Probability · Mathematics 2026-05-20 Eliana Fausti , Andreas Sojmark

Viruses display striking diversity in structure, transmission mode, immune interaction, and evolutionary behavior. Despite this diversity, viral strategies are not unconstrained. Here we present a unifying framework that treats viral…

Biological Physics · Physics 2025-12-30 Mohammad Rasoolinejad

The transition from localized to systemic spreading of bacteria, viruses and other agents is a fundamental problem that spans medicine, ecology, biology and agriculture science. We have conducted experiments and simulations in a simple…

Populations and Evolution · Quantitative Biology 2009-11-10 Anna L. Lin , Bernward A. Mann , Gelsy Torres-Oviedo , Bryan Lincoln , Josef Kas , Harry L. Swinney

When three species compete cyclically in a well-mixed, stochastic system of $N$ individuals, extinction is known to typically occur at times scaling as the system size $N$. This happens, for example, in rock-paper-scissors games or…

Physics and Society · Physics 2019-02-20 Kevin E. Bassler , Erwin Frey , R. K. P. Zia

Communication and coordination play a major role in the ability of bacterial cells to adapt to ever changing environments and conditions. Recent work has shown that such coordination underlies several aspects of bacterial responses…

Quantitative Methods · Quantitative Biology 2016-04-12 Shashank Singh , Sabrina Rashid , Zhicheng Long , Saket Navlakha , Hanna Salman , Zoltan N. Oltvai , Ziv Bar-Joseph

Recent studies reveal even the smallest genomes such as viruses evolve through complex and stochastic processes, and the assumption of independent alleles is not valid in most applications. Advances in sequencing technologies produce…

Populations and Evolution · Quantitative Biology 2017-10-30 Hyunjin Shim