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Intracellular protein patterns are described by (nearly) mass-conserving reaction-diffusion systems. While these patterns initially form out of a homogeneous steady state due to the well-understood Turing instability, no general theory…

Pattern Formation and Solitons · Physics 2024-01-11 Henrik Weyer , Fridtjof Brauns , Erwin Frey

Geomagnetic field reversal sequences exhibit persistence times spanning a broad range, from a few $10^4$ years to superchrons lasting more than $10^7$ years. Despite extensive observational and theoretical work, the physical mechanisms…

Geophysics · Physics 2026-05-15 Giuseppina Nigro , Edoardo Cascio , Giuseppe Consolini , Francesco Berrilli

The response of cells during spreading and motility is dictated by several multi-physics events, which are triggered by extracellular cues and occur at different time-scales. For this sake, it is not completely appropriate to provide a cell…

Soft Condensed Matter · Physics 2020-11-26 M. Serpelloni , M. Arricca , C. Bonanno , A. Salvadori

Spatial and temporal pattern formation in reaction-diffusion systems is typically studied with two or more equations, as scalar reaction-diffusion equations confined to convex domains do not admit stable inhomogeneous states in time or…

Pattern Formation and Solitons · Physics 2026-05-07 N. Mahashri , Andrew L. Krause , M. Chandru , Thomas E. Woolley

The formation of self-organized patterns is key to the morphogenesis of multicellular organisms, although a comprehensive theory of biological pattern formation is still lacking. Here, we propose a minimal model combining tissue mechanics…

Biological Physics · Physics 2022-06-08 P. Recho , A. Hallou , E. Hannezo

Cell membranes interact with a myriad of curvature-active proteins that control membrane morphology and are responsible for mechanosensation and mechanotransduction. Some of these proteins, such as those containing BAR domains, are curved…

Soft Condensed Matter · Physics 2020-09-21 Caterina Tozzi , Nikhil Walani , Anabel-Lise Le Roux , Pere Roca-Cusachs , Marino Arroyo

Interaction between active materials and the boundaries of geometrical confinement is key to many emergent phenomena in active systems. For living active matter consisting of animal cells or motile bacteria, the confinement boundary is…

Soft Condensed Matter · Physics 2022-08-29 Haoran Xu , Mehrana R. Nejad , Julia M. Yeomans , Yilin Wu

Cellular reprogramming, the conversion of one cell type to another, has fundamentally transformed our conception of cell types. Cellular reprogramming induces global changes in gene expression involving hundreds of transcription factors and…

Molecular Networks · Quantitative Biology 2015-05-18 Sai Teja Pusuluri , Alex H. Lang , Pankaj Mehta , Horacio E. Castillo

For the first time the phenomenon of cellular structure coarsening are consistently analysed from the positions of kinetic, hydrodynamic and stochastodynamic theories of nonequilibrium statistical systems. Thereby micro-, meso- and…

Condensed Matter · Physics 2015-06-25 S. B. Goryachev

The recent discovery of a lateral organization in cell membranes due to small structures called 'rafts' has motivated a lot of biological and physico-chemical studies. A new experiment on a model system has shown a spectacular budding…

Subcellular Processes · Quantitative Biology 2009-11-10 Jean-Marc Allain , Martine Ben Amar

We study the shape dynamics of a two-component fluid membrane, using a dynamical triangulation monte carlo simulation and a Langevin description. Phase separation induces morphology changes depending on the lateral mobility of the lipids.…

Soft Condensed Matter · Physics 2009-10-30 P. B. Sunil Kumar , Madan Rao

Protein aggregation on the plasma membrane (PM) is of critical importance to many cellular processes such as cell adhesion, endocytosis, fibrillar conformation, and vesicle transport. Lateral diffusion of protein aggregates or clusters on…

Subcellular Processes · Quantitative Biology 2019-08-15 L. M. Stolerman , M. Getz , S. G. Llewellyn Smith , M. Holst , P. Rangamani

A phase-field model for dealing with dynamic instabilities in membranes is presented. We use it to study curvature-driven pearling instability in vesicles induced by the anchorage of amphiphilic polymers on the membrane. Within this model,…

Quantitative Methods · Quantitative Biology 2011-11-10 F. Campelo , A. Hernandez-Machado

The growth of several biological tissues is known to be controlled in part by local geometrical features, such as the curvature of the tissue interface. This control leads to changes in tissue shape that in turn can affect the tissue's…

Tissues and Organs · Quantitative Biology 2016-12-01 Almie Alias , Pascal R Buenzli

The shapes of cell membranes are largely regulated by membrane associated, curvature active, proteins. We use a numerical model of the membrane with elongated membrane inclusions, recently developed by us, which posses spontaneous…

Biological Physics · Physics 2013-02-08 N. Ramakrishnan , P. B. Sunil Kumar , John H. Ipsen

Deep generative models learn the data distribution, which is concentrated on a low-dimensional manifold. The geometric analysis of distribution transformation provides a better understanding of data structure and enables a variety of…

Computer Vision and Pattern Recognition · Computer Science 2024-06-28 Junhao Chen , Manyi Li , Zherong Pan , Xifeng Gao , Changhe Tu

Turing patterns emerge from a spatially uniform state following a linear instability driven by diffusion. Features of the eventual pattern (stabilized by non-linearities) are already present in the initial unstable modes. On a uniform flat…

Soft Condensed Matter · Physics 2019-01-31 John R. Frank , Jemal Guven , Mehran Kardar , Henry Shackleton

Diffusion-mediated surface phenomena are crucial for human life and industry, with examples ranging from oxygen capture by lung alveolar surface to heterogeneous catalysis, gene regulation, membrane permeation and filtration processes.…

Statistical Mechanics · Physics 2020-08-19 Denis S. Grebenkov

Multicellular tissues are the building blocks of many biological systems and organs. These tissues are not static, but dynamically change over time. Even if the overall structure remains the same there is a turnover of cells within the…

Tissues and Organs · Quantitative Biology 2021-02-12 Domenic P. J. Germano , James M. Osborne

The fundamental laws governing proteoform dynamics have yet to be formulated. As a result, it is unclear how a specific proteoform, a distinct molecular variant of a protein, dynamically shapes its own future by evolving into new modes that…

Biomolecules · Quantitative Biology 2025-09-05 James N. Cobley