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The emergence of macroscopic coherence in a many-body quantum system is a ubiquitous phenomenon across different physical systems and scales. This Chapter reviews key concepts characterizing such systems (correlation functions,…

Quantum Gases · Physics 2025-06-17 Nick P. Proukakis

Many models for the origin of life have focused on understanding how evolution can drive the refinement of a preexisting enzyme, such as the evolution of efficient replicase activity. Here we present a model for what was, arguably, an even…

Biomolecules · Quantitative Biology 2012-12-20 Sara Imari Walker , Martha A. Grover , Nicholas V. Hud

Directed Percolation (DP) is a classic model for nonequilibrium phase transitions into a single absorbing state (fixation). It has been extensively studied by analytical and numerical techniques in diverse contexts. Recently, DP has…

Statistical Mechanics · Physics 2019-05-01 Jordan M. Horowitz , Mehran Kardar

The diffusion of particles in complex media has gained significant interest due to its dual relevance: probing the viscoelastic properties of materials via microrheology and assessing the extent of particle displacement over time. In this…

Soft Condensed Matter · Physics 2025-06-24 Fabian A. Garcia Daza , Alvaro Rodriguez-Rivas , Fernando Govantes , Alejandro Cuetos

We introduce a general theoretical framework to study the shape dynamics of actively growing and remodeling surfaces. Using this framework we develop a physical model for growing bacterial cell walls and study the interplay of cell shape…

Biological Physics · Physics 2016-04-08 Shiladitya Banerjee , Norbert F. Scherer , Aaron R. Dinner

The mechanism of bacterial cell size control has been a mystery for decades, which involves the well-coordinated growth and division in the cell cycle. The revolutionary modern techniques of microfluidics and the advanced live imaging…

Statistical Mechanics · Physics 2021-08-30 Liang Luo , Yang Bai , Xiongfei Fu

Metagenomics has revealed hundreds of bacterial species in almost all microbiota. In a few well-studied cases, bacterial communities have been observed to coordinate their metabolic fluxes. In principle, bacteria can divide tasks to reap…

Populations and Evolution · Quantitative Biology 2016-04-12 Thibaud Taillefumier , Anna Posfai , Yigal Meir , Ned S. Wingreen

The physics of micron-scale biological colonies usually benefits from different out-of-equilibrium sources. In bacterial colonies and cellular tissues, the growth process is among the important active sources that determine the dynamics. In…

Soft Condensed Matter · Physics 2023-06-16 Forouh Maleki , Ali Najafi

In the past many papers have appeared which simulated surface growth with different growth models. The results showed that, if models differed only slightly in their `growth' rules, the resulting surfaces may belong to different…

Computational Physics · Physics 2009-10-31 W. E. Hagston , H. Ketterl

Soft surfaces, spanning vastly different environmental and biomedical settings, are frequently colonised by surface-associated bacteria. Yet, how soft surfaces govern bacterial dynamics and their self-organisation into colonies remains…

Biological Physics · Physics 2025-12-29 Garima Rani , G. H. Philipp Nguyen , René Wittmann , Hartmut Löwen , Anupam Sengupta

The periodic swarming of bacteria is one of the simplest examples for pattern formation produced by the self-organized collective behavior of a large number of organisms. In the spectacular colonies of Proteus mirabilis (the most common…

Biological Physics · Physics 2016-09-08 Andras Czirok , Mitsugu Matsushita , Tamas Vicsek

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

Motile cells often explore natural environments characterized by a high degree of structural complexity. Moreover cell motility is also intrinsically noisy due to spontaneous random reorientation and speed fluctuations. This interplay of…

Bacteria commonly live in structured communities that affect human health and influence ecological systems. Heterogeneous populations, such as motile and non-motile populations, often coexist in bacteria communities. Motile subpopulations…

Biological Physics · Physics 2019-06-19 Haoran Xu , Justas Dauparas , Debasish Das , Eric Lauga , Yilin Wu

An evolving yeast colony is simulated by means of a cellular automaton that takes care of many important features of the system under study. A complete survey of the properties of the colony is done and a set of scaling relations is found,…

Statistical Mechanics · Physics 2007-05-23 Lorenzo Fortunato

Advances in synthetic biology allow us to engineer bacterial collectives with pre-specified characteristics. However, the behavior of these collectives is difficult to understand, as cellular growth and division as well as extra-cellular…

Cell Behavior · Quantitative Biology 2017-09-13 James J. Winkle , Oleg Igoshin , Matthew R. Bennett , Krešimir Josić , William Ott

Constraints on changes in expression levels across all cell components imposed by the steady growth of cells have recently been discussed both experimentally and theoretically. By assuming a small environmental perturbation and considering…

Populations and Evolution · Quantitative Biology 2018-04-18 Chikara Furusawa , Kunihiko Kaneko

In quorum sensing (QS), bacteria exchange molecular signals to work together. An analytically-tractable model is presented for characterizing QS signal propagation within a population of bacteria and the number of responsive cooperative…

Information Theory · Computer Science 2020-09-03 Yuting Fang , Adam Noel , Andrew W. Eckford , Nan Yang , Jing Guo

Groups of cells, including clusters of cancerous cells, multicellular organisms, and developing organs, may both grow and break apart. What physical factors control these fractures? In these processes, what sets the eventual size of…

Biological Physics · Physics 2026-04-03 Wei Wang , Brian A. Camley

Marine stratocumulus clouds play a critical role in the Earth's climate system. They display an amazing array of complex behaviors at many different spatiotemporal scales. Precipitation in these clouds is in general very light, but it is…

Atmospheric and Oceanic Physics · Physics 2015-06-30 Tianle Yuan