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During the past century, biologists and mathematicians investigated two mechanisms underlying bacteria motion: the run phase during which bacteria move in straight lines and the tumble phase in which they change their orientation. When…

Analysis of PDEs · Mathematics 2025-05-19 Alain Blaustein

Cooperative behaviors arising from bacterial cell-to-cell communication can be modeled by reaction-diffusion equations having only a single diffusible component. This paper presents the following three contributions for the systematic…

Systems and Control · Computer Science 2016-11-15 Hiroki Miyazako , Yutaka Hori , Shinji Hara

We study a model for the spread of an infectious disease which incorporates spatial and temporal effects. The model is a delayed multi-type branching process in which types represent geographic regions while infected individuals reproduce…

Probability · Mathematics 2023-01-27 Andrew Hart , Servet Martínez

We consider a multi-species reaction-diffusion system that arises in epidemiology to describe the spread of several strains, or variants, of a disease in a population. Our model is a natural spatial, multi-species, extension of the…

Analysis of PDEs · Mathematics 2022-08-02 Romain Ducasse , Samuel Nordmann

We investigate the dynamics of a colony of crawling, proliferating cells with a minimal, mechanical cell model. The cells consist of two disks, modelling the cell body and a pseudopod, connected by a finite extensible spring. The cells…

Cell Behavior · Quantitative Biology 2019-04-11 Simon K. Schnyder , John J. Molina , Ryoichi Yamamoto

We investigate the emergence of global alignment in colonies of dividing rod-shaped cells under confinement. Using molecular dynamics simulations and continuous modeling, we demonstrate that geometrical anisotropies in the confining…

Soft Condensed Matter · Physics 2021-01-26 Zhihong You , Daniel J. G. Pearce , Luca Giomi

Antimicrobial protocols - using substances such as antibiotics or disinfectants - remain the preferred option for preventing the spread of pathogenic bacteria. However, bacteria can develop mechanisms to reduce their antimicrobial…

Populations and Evolution · Quantitative Biology 2026-02-17 Nerea Martínez-López , Niclas Nordholt , Frank Schreiber , Míriam R. García

For non-motile microorganisms, spatial expansion in quiescent fluids is presumed to be limited by diffusion. We report that microbial colonies can explosively circumvent this constraint through a self-amplifying physical process. As…

Soft Condensed Matter · Physics 2025-12-19 Jimreeves David , Shashi Thutupalli

Chemotactic bacteria have been observed to congregate into highly regular patterns. When the bacteria are placed in the center of a dish, a wave of bacteria can travel outward, leaving a regular pattern of spots or stripes in its wake.…

Pattern Formation and Solitons · Physics 2009-09-29 William J. Bruno

We study the high temperature phase of a family of typed branching diffusions initially studied in [Ast\'{e}risque 236 (1996) 133--154] and [Lecture Notes in Math. 1729 (2000) 239--256 Springer, Berlin]. The primary aim is to establish some…

Probability · Mathematics 2007-05-23 Y. Git , J. W. Harris , S. C. Harris

Recent advancements in the ability to construct three-dimensional (3D) tissues and organoids from stem cells and biomaterials have not only opened abundant new research avenues in disease modeling and regenerative medicine but also have…

Tissues and Organs · Quantitative Biology 2017-07-27 Richard J. McMurtrey

In this paper, we introduce a novel framework using inhomogeneous Branching Random Walks (BRWs) to model growth processes, specifically introducing genealogy-dependence in branching rates and displacement distributions to model phenomena…

Populations and Evolution · Quantitative Biology 2025-12-11 Lauren Ajax , Beatrice Durham , Pratima Hebbar , Cade Johnson , Jiayi Zhang

Motivated by recent outbreaks of the Ebola Virus, we are concerned with the role that a vector reservoir plays in supporting the spatio-temporal spread of a highly lethal disease through a host population. In our context, the reservoir is a…

Analysis of PDEs · Mathematics 2018-07-24 W. E. Fitzgibbon , J. J. Morgan

Biological systems are promising substrates for computation because they naturally process environmental information through complex internal dynamics. In this study, we investigate whether bacterial metabolic models can act as physical…

Emerging Technologies · Computer Science 2026-04-23 Laura Alonso Bartolomé , Jean-Loup Faulon , Xavier Hinaut

Using a population dynamics inspired by an ensemble of growing cells, a set of fluctuation theorems linking observables measured at the lineage and population levels are derived. One of these relations implies specific inequalities…

Populations and Evolution · Quantitative Biology 2021-11-08 Reinaldo García-García , Arthur Genthon , David Lacoste

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

Unraveling the evolutionary forces shaping bacterial diversity can today be tackled using a growing amount of genomic data. While the genome of eukaryotes is highly stable, bacterial genomes from cells of the same species highly vary in…

Populations and Evolution · Quantitative Biology 2015-03-19 Franz Baumdicker , Peter Pfaffelhuber

We present a proof-of-concept of a model comparison approach for analyzing spatio-temporal observations of interacting populations. Our model variants are a collection of structurally similar Bayesian networks. Their distinct Noisy-Or…

Methodology · Statistics 2024-10-08 Nat Kendal-Freedman , Joseph Victor Fiorillo Meleshko , Aaron Yip , Brian Ingalls

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 introduce and study a stochastic model for the dynamics of colonial species, which reproduce through fission or fragmentation. The fission rate depends on the relative sizes of colonies in the population, and the growth rate of colonies…

Probability · Mathematics 2025-01-30 Sylvain Billiard , Charles Medous , Charline Smadi
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