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Pattern formation often occurs in confined systems, yet how boundaries shape patterning dynamics is unclear. We develop techniques to analyze confinement effects in nonlocal advection-diffusion equations, which generically capture the…

Pattern Formation and Solitons · Physics 2025-09-11 Jan Rombouts , Michael L Zhao , Alexander Aulehla , Anna Erzberger

Growth drives cellular dynamics in dense aggregates including bacterial colonies, developing tissues, and tumors. We investigate the underlying physical principles emerging from the interplay of growth, steric repulsion, and motility in a…

Soft Condensed Matter · Physics 2025-02-11 Torben Sunkel , Lukas Hupe , Philip Bittihn

Cell motility is one of the most fundamental phenomena underlying biological processes that maintain living organisms alive. Here we introduce a simple model to describe the motility of cells which include not only time-correlated internal…

Biological Physics · Physics 2022-07-13 T. N. Azevedo , L. G. Rizzi

Periodic orbits in chaotic systems form clusters, whose elements traverse approximately the same points of the phase space. The distribution of cluster sizes depends on the length n of orbits and the parameter p which controls closeness of…

Chaotic Dynamics · Physics 2015-06-15 Boris Gutkin , Vladimir Al. Osipov

Cell migration is closely linked to cell shape, yet cell size is often assumed to remain constant. This assumption is challenged by recent experiments showing that cells undergo volume loss during spreading and swelling upon activation,…

Biological Physics · Physics 2025-05-28 Jonathan E. Ron , Ram M. Adar

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

Coordinated rotational motion is an intriguing, yet still elusive mode of collective cell migration, which is relevant in pathological and morphogenetic processes. Most of the studies on this topic have been carried out on confined…

Eukaryotic cells possess motility mechanisms allowing them not only to self-propel but also to exert forces on obstacles (to push) and to carry cargoes (to pull). To study the inherent asymmetry between active pushing and pulling we model a…

Biological Physics · Physics 2015-06-15 Pierre Recho , Lev Truskinovsky

Aggregation phenomena are ubiquitous in nature, encompassing out-of-equilibrium processes of fractal pattern formation, important in many areas of science and technology. Despite their simplicity, foundational models such as…

Statistical Mechanics · Physics 2016-05-31 J. R. Nicolás-Carlock , J. L. Carrillo-Estrada , V. Dossetti

Observations of galaxies over large distances reveal the possibility of a fractal distribution of their positions. The source of fractal behavior is the lack of a length scale in the two body gravitational interaction. However, even with…

Mathematical Physics · Physics 2007-05-23 Bruce N. Miller , Jean-Louis Rouet , Emmanuel Le Guirriec

Measurements of cell size dynamics have established the adder principle as a robust mechanism of cell size homeostasis. In this framework, cells add a nearly constant amount of size during each cell cycle, independent of their size at…

Quantitative Methods · Quantitative Biology 2026-01-01 Sayeh Rezaee , Cesar Nieto , Abhyudai Singh

In order to understand the Galactic structure, we perform a statistical analysis of the distribution of various cluster parameters based on an almost complete sample of Galactic open clusters yet available. The geometrical and physical…

Astrophysics of Galaxies · Physics 2018-06-13 Y. C. Joshi

The evolution of star clusters is studied using N-body simulations in which the evolution of single stars and binaries are taken self-consistently into account. Initial conditions are chosen to represent relatively young Galactic open…

We investigate the structural evolution of young star clusters forming within centrally concentrated molecular clouds. Our simulations use the Torch framework, which integrates the FLASH magnetohydrodynamics code with the AMUSE environment,…

We analyze a two-dimensional spring network model comprising breakable and unbreakable springs. Computer simulations showed this system to exhibit intermittent stress drops in a larger strain regime, and these stress drops resulted in…

Statistical Mechanics · Physics 2024-05-02 Haruka Noguchi , Satoshi Yukawa

Tumor cells develop different features to adapt to environmental conditions. A prominent example is the ability of tumor cells to switch between migratory and proliferative phenotypes, a phenomenon known as go-or-grow mechanism. It is…

Tissues and Organs · Quantitative Biology 2014-07-14 Katrin Böttger , Haralambos Hatzikirou , Anja Voss-Boehme , Miguel A. Herrero , Andreas Deutsch

We consider a model of fragmentation of sheet by cracks that move with a velocity in preferred direction, but undergo random transverse displacements as they move. There is a non-zero probability of crack-splitting, and the split cracks…

Statistical Mechanics · Physics 2015-06-23 Deepak Dhar

The mechanics of crawling cells on a substrate is investigated by using a minimal model that satisfies the force-free condition. A cell is described by two subcellular elements connected by a linear actuator that changes the length of the…

Soft Condensed Matter · Physics 2018-04-18 Mitsusuke Tarama , Ryoichi Yamamoto

Structured populations are ubiquitous across the biological sciences. Mathematical models of these populations allow us to understand how individual physiological traits drive the overall dynamics in aggregate. For example, linear age- or…

Analysis of PDEs · Mathematics 2022-04-25 Sabina L. Altus , Jeffrey C. Cameron , David M. Bortz

Recently acoustic signature of dislocation avalanches in HCP materials was found to be long tailed in size and energy, suggesting critical dynamics. Even more recently, the intermittent plastic response was found to be generic for micro-…

Mesoscale and Nanoscale Physics · Physics 2021-05-25 Jérôme Weiss , Peng Zhang , Oguz Umut Salman , Gang Liu , Lev Truskinovsky
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