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Many studies have been performed to characterize the dynamics and stability of the microbiome across a range of environmental contexts [Costello et al., 2012, Faust et al., 2015]. For example, it is often of interest to identify time…

Applications · Statistics 2017-12-04 Kris Sankaran , Susan P. Holmes

Quantification of heritability is a fundamental desideratum in genetics, which allows an assessment of the contribution of additive genetic variation to the variability of a trait of interest. The traditional computational approaches for…

Applications · Statistics 2023-05-03 The Tien Mai , John A Lees , Rebecca A Gladstone , Jukka Corander

We study numerically the variability of the outbreak of diseases on complex networks. We use a SI model to simulate the disease spreading at short times, in homogeneous and in scale-free networks. In both cases, we study the effect of…

Statistical Mechanics · Physics 2007-05-23 Pascal Crépey , Fabián P. Alvarez , Marc Barthélemy

Viruses evolve in the background of host immune systems that exert selective pressure and drive viral evolutionary trajectories. This interaction leads to different evolutionary patterns in antigenic space. Examples observed in nature…

Populations and Evolution · Quantitative Biology 2020-11-20 Jacopo Marchi , Michael Lässig , Thierry Mora , Aleksandra M. Walczak

We propose a model of antibiotic diffusion through a bacterial biofilm when diffusion and/or absorption barriers develop in the biofilm. The idea of this model is: We deduce details of the diffusion process in a medium in which direct…

Biological Physics · Physics 2020-09-23 Tadeusz Kosztołowicz , Ralf Metzler

Sequential monotherapy is the most widely used therapeutic approach in the treatment of HBV chronic infection. Unfortunately, under therapy, in some patients the hepatitis virus mutates and gives rise to variants which are drug resistant.…

Probability · Mathematics 2013-05-01 Daniela Bertacchi , Fabio Zucca , Sergio Foresti , Davide Mangioni , Andrea Gori

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

Antibiotic resistance (AR) is one of the greatest public health challenges worldwide. Processes that allow the reduction of AR predictor of hospital wastewater has become crucial process that contributes to the protection of public health…

Populations and Evolution · Quantitative Biology 2025-06-05 Kornelia Stefaniak , Monika Harnisz , Magdalena Mecik , Ewa Korzeniewska

The intestinal microbiota plays important roles in digestion and resistance against entero-pathogens. As with other ecosystems, its species composition is resilient against small disturbances but strong perturbations such as antibiotics can…

Quantitative Methods · Quantitative Biology 2015-06-04 Vanni Bucci , Serena Bradde , Giulio Biroli , Joao B. Xavier

Antimicrobial resistance is an important public health concern that has implications in the practice of medicine worldwide. Accurately predicting resistance phenotypes from genome sequences shows great promise in promoting better use of…

This paper introduces a stochastic adaptive dynamics model for the interplay of several crucial traits and mechanisms in bacterial evolution, namely dormancy, horizontal gene transfer (HGT), mutation and competition. In particular, it…

Probability · Mathematics 2023-01-27 Jochen Blath , Tobias Paul , András Tóbiás

We have developed a nonlinear method of time series analysis that allows us to obtain multiple nonlinear trends without harmonics from a given set of numerical data. We propose to apply the method to recognize the ongoing status of COVID-19…

Physics and Society · Physics 2024-12-24 Fumihiko Ishiyama

The rise of Antimicrobial Resistance, particularly Multi-Drug Resistance (MDR), presents a critical challenge for clinical decision-making due to limited treatment options and delays in conventional susceptibility testing. This study…

Machine Learning · Computer Science 2026-03-03 Santanam Wishal , Riad Sahara

Drug resistance and strong contacts actually play crucial roles in epidemic spread in complex systems. Nevertheless, neither theoretical model or methodology is proposed to address this. We thus consider an edge-based epidemic spread model…

Physics and Society · Physics 2017-09-13 Peng-Bi Cui , Lei Gao , Wei Wang

Anthelmintic resistance is a major threat to current measures for helminth control in humans and animals. The introduction of anthelmintic vaccines, as a complement to or replacement for drug treatments, has been advocated as a preventive…

Populations and Evolution · Quantitative Biology 2010-05-24 Lorenzo Sabatelli

Microbes are everywhere, including in and on our bodies, and have been shown to play key roles in a variety of prevalent human diseases. Consequently, there has been intense interest in the design of bacteriotherapies or "bugs as drugs,"…

Machine Learning · Statistics 2020-04-13 Travis E. Gibson , Georg K. Gerber

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

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

We consider the dynamics of a virus spreading through a population that produces a mutant strain with the ability to infect individuals that were infected with the established strain. Temporary cross-immunity is included using a time delay,…

Populations and Evolution · Quantitative Biology 2023-02-16 Bruce Pell , Samantha Brozak , Tin Phan , Fuqing Wu , Yang Kuang

This study develops and analyzes a stochastic differential equation (SDE) model for the dynamics of hepatitis B virus (HBV) infection. While deterministic frameworks have yielded important insights into viral behavior, they cannot…

Dynamical Systems · Mathematics 2025-10-03 Abdallah Alsammani
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