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Hybrid models of chemotaxis combine agent-based models of cells with partial differential equation models of extracellular chemical signals. In this paper, travelling wave properties of hybrid models of bacterial chemotaxis are…

Biological Physics · Physics 2013-02-13 Benjamin Franz , Chuan Xue , Kevin J. Painter , Radek Erban

Escherichia coli bacterium is a rod-shaped organism composed of a complex double membrane structure. Knowledge of electric field driven ion transport through both membranes and the evolution of their induced permeabilization has important…

Biomolecules · Quantitative Biology 2023-11-30 Juan González-Cuevas , Ricardo Argüello , Marcos Florentin , Franck M. André , Lluis Mir

The dynamics of diffusion in complex networks are widely studied to understand how entities, such as information, diseases, or behaviors, spread in an interconnected environment. Complex networks often present community structure, and tools…

Physics and Society · Physics 2025-12-09 Alina Dubovskaya , Caroline B. Pena , David J. P. O'Sullivan

The large-scale collective behavior of biological systems can be characterized by macroscopic transport, which arises from the non-equilibrium microscopic interactions among individual constituents. A prominent example is the formation of…

Statistical Mechanics · Physics 2025-07-29 Subhadip Chakraborti , Vasily Zaburdaev

Mathematical models have been widely used to describe the collective movement of bacteria by chemotaxis. In particular, bacterial concentration waves traveling in a narrow channel have been experimentally observed and can be precisely…

Analysis of PDEs · Mathematics 2016-04-15 Casimir Emako , Charlène Gayrard , Axel Buguin , Luís Neves de Almeida , Nicolas Vauchelet

Biochemistry, ecology, and neuroscience are examples of prominent fields aiming at describing interacting systems that exhibit non-trivial couplings to complex, ever-changing environments. We have recently shown that linear interactions and…

Statistical Mechanics · Physics 2022-08-10 Giorgio Nicoletti , Daniel Maria Busiello

Collective cell migration is a key driver of embryonic development, wound healing, and some types of cancer invasion. Here we provide a physical perspective of the mechanisms underlying collective cell migration. We begin with a catalogue…

Biological Physics · Physics 2019-10-08 Ricard Alert , Xavier Trepat

Collision models describe the sequential interactions of a system with independent ancillas. Motivated by recent advances in neutral atom arrays, in this Letter we investigate a model where the ancillas are governed by a classical…

Quantum Physics · Physics 2025-05-01 Guilherme Fiusa , Gabriel T. Landi

The contact process is a simple infection spreading model showcasing an out-of-equilibrium phase transition between a macroscopically active and an inactive phase. Such absorbing state phase transitions are often sensitive to the presence…

Statistical Mechanics · Physics 2025-09-22 Leone V. Luzzatto , Juan Felipe Barrera López , István A. Kovács

Complex networks have been successfully used to describe the spread of diseases in populations of interacting individuals. Conversely, pairwise interactions are often not enough to characterize social contagion processes such as opinion…

Physics and Society · Physics 2021-03-15 Iacopo Iacopini , Giovanni Petri , Alain Barrat , Vito Latora

Motility induced phase separation is an efficient aggregation mechanism of active matter, yet biological systems exhibit richer organization through communication among constituents. We investigate suspensions of active particles that…

Soft Condensed Matter · Physics 2025-08-18 Yuxin Zhou , Qingqing Yin , Shubhadip Nayak , Poulami Bag , Pulak K. Ghosh , Yunyun Li , Fabio Marchesoni

Various biological cells secrete diffusing chemical compounds into their environment for communication purposes. Secretion usually takes place over the cell membrane in a spatially heterogeneous manner. Mathematical models of these…

Numerical Analysis · Mathematics 2025-11-20 Qiyao Peng , Sander C. Hille

Bacteria build multicellular communities termed biofilms, which are often encased in a self-secreted extracellular matrix that gives the community mechanical strength and protection against harsh chemicals. How bacteria assemble distinct…

Biological Physics · Physics 2023-09-27 Jakub A. Kochanowski , Bobby Carroll , Merrill E. Asp , Emma Kaputa , Alison E. Patteson

Quantum computers have the potential to simulate chemical systems beyond the capability of classical computers. Recent developments in hybrid quantum-classical approaches enable the determinations of the ground or low energy states of…

Quantum Physics · Physics 2021-12-06 Chee-Kong Lee , Jonathan Wei Zhong Lau , Liang Shi , Leong Chuan Kwek

Quantifying animal interactions is crucial for understanding various ecological processes, including social community structures, predator-prey dynamics, spreading of pathogens and information. Despite the ubiquity of interaction processes…

Statistical Mechanics · Physics 2023-10-06 Debraj Das , V. M. Kenkre , Ran Nathan , Luca Giuggioli

Spatio-temporal extensions of familiar compartment models for disease transmission incorporating diffusive behavior, or interactions between individuals at separate locations, are explored. The models considered have the character of…

Biological Physics · Physics 2022-06-28 Joseph Rudnick , David Jasnow , Jorge Vinals

This paper develops a Bayesian graphical model for fusing disparate types of count data. The motivating application is the study of bacterial communities from diverse high dimensional features, in this case transcripts, collected from…

The ubiquitous existence of microbial communities marks the importance of understanding how species interact within the community to coexist and their spatial organization. We study a two-species mutualistic cross-feeding model through a…

Populations and Evolution · Quantitative Biology 2022-10-31 Jiaqi. Lin , Hui. Sun , JiaJia Dong

Dormancy is an essential strategy for microorganisms to cope with environmental stress. However, global ecosystem models typically ignore microbial dormancy, resulting in major model uncertainties. To facilitate the consideration of…

Quantitative Methods · Quantitative Biology 2014-02-20 Gangsheng Wang , Melanie A. Mayes , Lianhong Gu , Christopher W. Schadt

Understanding the pattern formation in communities has been at the center of attention in various fields. Here we introduce a novel model, called an "information-particle model," which is based on the reaction-diffusion model and the…

Physics and Society · Physics 2023-07-21 Junichi Miyakoshi