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We introduce and discuss a kinetic framework describing the time evolution of the statistical distributions of a population divided into the compartments of susceptible, infectious, recovered, and resistant in the presence of a microbial…

Populations and Evolution · Quantitative Biology 2026-05-07 Marco Menale , Giuseppe Toscani , Mattia Zanella

Microbial populations in the natural environment are likely to experience growth conditions very different from those of a typical laboratory xperiment. In particular, removal rates of biomass and substrate are unlikely to be balanced under…

Populations and Evolution · Quantitative Biology 2015-05-18 Bhavin S. Khatri , Andrew Free , Rosalind J. Allen

We introduce various models for cellulose bio-degradation by micro-organisms. Those models rely on complex chemical mechanisms, involve the structure of the cellulose chains and are allowed to depend on the phenotypical traits of the…

Dynamical Systems · Mathematics 2020-11-09 Pierre-Emmanuel Jabin , Alexey Miroshnikov , Robin Young

Investigating the emergence of a particular cell type is a recurring theme in models of growing cellular populations. The evolution of resistance to therapy is a classic example. Common questions are: when does the cell type first occur,…

Populations and Evolution · Quantitative Biology 2019-06-19 Michael D. Nicholson , Tibor Antal

The spreading of bacterial populations is central to processes in agriculture, the environment, and medicine. However, existing models of spreading typically focus on cells in unconfined settings--despite the fact that many bacteria inhabit…

Populations and Evolution · Quantitative Biology 2022-06-07 Daniel B. Amchin , Jenna A. Ott , Tapomoy Bhattacharjee , Sujit S. Datta

The self-organization of microbial ecosystems involves a large variety of mechanisms, ranging from biochemical signaling to population dynamics. Among these, the role of motility regulation has been little studied, despite the importance of…

Statistical Mechanics · Physics 2025-03-18 Alberto Dinelli , Ada Altieri , Julien Tailleur

Biological evolution of a population is governed by the fitness landscape, which is a map from genotype to fitness. However, a fitness landscape depends on the organisms environment, and evolution in changing environments is still poorly…

Populations and Evolution · Quantitative Biology 2022-09-26 Suman G Das , Joachim Krug , Muhittin Mungan

Human decision-making differs due to variation in both incentives and available information. This constitutes a substantial challenge for the evaluation of whether and how machine learning predictions can improve decision outcomes. We…

General Economics · Economics 2020-11-24 Michael Allan Ribers , Hannes Ullrich

We present a model for continuous cell culture coupling intra-cellular metabolism to extracellular variables describing the state of the bioreactor, taking into account the growth capacity of the cell and the impact of toxic byproduct…

Molecular Networks · Quantitative Biology 2017-11-21 Jorge Fernandez-de-Cossio-Diaz , Kalet León , Roberto Mulet

During drug development, evidence can emerge to suggest a treatment is more effective in a specific patient subgroup. Whilst early trials may be conducted in biomarker-mixed populations, later trials are more likely to enrol…

Methodology · Statistics 2023-06-07 Lorna Wheaton , Dan Jackson , Sylwia Bujkiewicz

The existence of phenotypic heterogeneity in single-species bacterial biofilms is well-established in the published literature. However, the modeling of population dynamics in biofilms from the viewpoint of social interactions, i.e.…

Populations and Evolution · Quantitative Biology 2016-09-21 Jeet Banerjee , Tanvi Ranjan , Ritwik Kumar Layek

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

A deterministic population dynamics model involving birth and death for a two-species system, comprising a wild-type and more resistant species competing via logistic growth, is subjected to two distinct stress environments designed to…

Biological Physics · Physics 2018-02-08 Marianne Bauer , Isabella R. Graf , Vudtiwat Ngampruetikorn , Greg J. Stephens , Erwin Frey

A chemostat enables long-term, continuous, exponential-phase growth in an environment limited as prescribed by the researcher. It is thus a potent tool for laboratory evolution - selecting for strains with desired phenotypes. However,…

Populations and Evolution · Quantitative Biology 2018-06-04 Aryeh Wides , Ron Milo

Mutation rate is a key determinant of the pace as well as outcome of evolution, and variability in this rate has been shown in different scenarios to play a key role in evolutionary adaptation and resistance evolution under stress caused by…

Populations and Evolution · Quantitative Biology 2019-03-01 Dalit Engelhardt , Eugene I. Shakhnovich

The effect of mechanical interactions between cells in the spreading of bacterial populations was investigated in one-dimensional space. A continuum-mechanics approach, comprising cell migration, proliferation, and exclusion processes, was…

Biological Physics · Physics 2015-12-15 Waipot Ngamsaad , Suthep Suantai

Within many bacterial colonies, persister cells exist as a subpopulation that is tolerant to antibiotics and other stressors, yet not genetically distinct from the rest of the colony. A recent study has proposed epigenetic inheritance as a…

Analysis of PDEs · Mathematics 2026-05-01 Chongming Li , Tyler Meadows , Troy Day

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

We investigate the structure and stability of the steady states for a bacterial colony model with density-suppressed motility. We treat the growth rate of bacteria as a bifurcation parameter to explore the local and global structure of the…

Analysis of PDEs · Mathematics 2020-05-15 Manjun Ma , Peng Xia , Qifeng Zhang , Matti Vuorinen

In this work, we investigate the population dynamics of tumor cells under therapeutic pressure. Although drug treatment initially induces a reduction in tumor burden, treatment failure frequently occurs over time due to the emergence of…

Probability · Mathematics 2025-10-02 Kevin Leder , Zicheng Wang , Xuanming Zhang