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Networks form the backbone of many complex systems, ranging from the Internet to human societies. Accordingly, not only is the range of our interactions limited and thus best described and modeled by networks, it is also a fact that the…

Physics and Society · Physics 2015-05-15 Zhen Wang , Lin Wang , Attila Szolnoki , Matjaz Perc

Biofilms are communities of bacteria adhered to surfaces. Recently, biofilms of rod-shaped bacteria were observed at single-cell resolution and shown to develop from a disordered, two-dimensional layer of founder cells into a…

We study diffusion-driven pattern-formation in networks of networks, a class of multilayer systems, where different layers have the same topology, but different internal dynamics. Agents are assumed to disperse within a layer by undergoing…

Physics and Society · Physics 2018-03-28 Andreas Brechtel , Philipp Gramlich , Daniel Ritterskamp , Barbara Drossel , Thilo Gross

A diffusion-reaction model for the growth of bacterial colonies is presented. The often observed cooperative behavior developed by bacteria which increases their motility in adverse growth conditions is here introduced as a nonlinear…

Condensed Matter · Physics 2009-10-31 A. M. Lacasta , I. R. Cantalapiedra , C. E. Auguet , A. Penaranda , L. Ramirez-Piscina

Social systems are in a constant state of flux with dynamics spanning from minute-by-minute changes to patterns present on the timescale of years. Accurate models of social dynamics are important for understanding spreading of influence or…

Physics and Society · Physics 2017-01-02 Vedran Sekara , Arkadiusz Stopczynski , Sune Lehmann

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

Information processing in the mammalian brain relies on a careful regulation of the membrane potential dynamics of its constituent neurons, which propagates across the neuronal tissue via electrical signalling. We recently reported the…

Neurons and Cognition · Quantitative Biology 2019-02-19 Rosa Martinez-Corral , Jintao Liu , Arthur Prindle , Gurol M. Suel , Jordi Garcia-Ojalvo

We consider multiple diseases spreading in a static Configuration Model network. We make standard assumptions that infection transmits from neighbor to neighbor at a disease-specific rate and infected individuals recover at a…

Populations and Evolution · Quantitative Biology 2015-06-11 Joel C. Miller

Biomolecular condensates self-assemble when proteins and nucleic acids spontaneously demix to form droplets within the crowded intracellular milieu. This simple mechanism underlies the formation of a wide variety of membraneless…

Statistical Mechanics · Physics 2021-06-30 William M. Jacobs

Antibiotic resistance is a major threat to global health. It emerges in multispecies microbial communities under antibiotic exposure. This makes antibiotic spectrum -- a drug's distribution of effects across species -- a potential key…

Populations and Evolution · Quantitative Biology 2026-04-21 Magnus Aspenberg , Erik Andreas Martens , Kristofer Wollein Waldetoft

The evolution and emergence of antibiotic resistance is a major public health concern. The understanding of the within-host microbial dynamics combining mutational processes, horizontal gene transfer and resource consumption, is one of the…

Populations and Evolution · Quantitative Biology 2020-03-09 Ramsès Djidjou-Demasse , Samuel Alizon , Mircea T. Sofonea

We present a simple model based on a reaction-diffusion equation to explain pattern formation in a multicellular bacterium (Streptomyces). We assume competition for resources as the basic mechanism that leads to pattern formation; in…

Biological Physics · Physics 2007-05-23 M. Bezzi , A. Ciliberto , A. Mengoni

Escherichia coli has long been a trusty companion, maintaining health in our guts and advancing biological knowledge in the laboratory. In light of recent findings, we discuss multicellular self-organization in E. coli and develop general…

Cell Behavior · Quantitative Biology 2025-03-06 Devina Puri , Kyle R. Allison

The striking variety of macroscopic morphologies displayed by bacterial colonies depends on microscopic environmental and behavioural details in a manner that is currently not well understood. A surprising example is sibling inhibition,…

Cell Behavior · Quantitative Biology 2026-05-15 Dario Buonomo , Francesco Imperi , Fabio Bruni , Marco Polin , Barbara Capone

Mutualistic interactions are vital constituents of ecological and socio-economic systems. Empirical studies have found that the patterns of reciprocal relations among the participants often shows the salient features of being simultaneously…

Populations and Evolution · Quantitative Biology 2018-12-17 Weiran Cai , Jordan Snyder , Alan Hastings , Raissa M. D'Souza

We provide a detailed multiscale analysis of a system of particles interacting through a dynamical network of links. Starting from a microscopic model, via the mean field limit, we formally derive coupled kinetic equations for the particle…

Analysis of PDEs · Mathematics 2016-07-14 Julien Barré , Pierre Degond , Ewelina Zatorska

Microbial networks, representing microbes as nodes and their interactions as edges, are crucial for understanding community dynamics in various environments. Analyzing microbiome networks is crucial for identifying keystone taxa that play…

Molecular Networks · Quantitative Biology 2025-07-15 Qiyao Yang , Rosa Aghdam , Reed Nelson , Claudia Solís-Lemus

Models based on surfactant driven instabilities have been employed to describe pattern formation by swarming bacteria. However, by definition, such models cannot account for the effect of bacterial sensing and decision making. Here we…

Biological networks provide insight into the complex organization of biological processes in a cell at the system level. They are an effective tool for understanding the comprehensive map of functional interactions, finding the functional…

Molecular Networks · Quantitative Biology 2017-09-14 Somaye Hashemifar

The global financial crisis in 2007-2009 demonstrated that systemic risk can spread all over the world through a complex web of financial linkages, yet we still lack fundamental knowledge about the evolution of the financial web. In…

Statistical Finance · Quantitative Finance 2018-06-11 Teruyoshi Kobayashi , Taro Takaguchi