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Anaerobic processes (e.g., methanogenesis and fermentation) largely contribute to element cycling and natural contaminant attenuation/mobilization, even in well-oxygenated porous environments, such as shallow aquifers. This paradox is…

Biological Physics · Physics 2022-11-24 Giulia Ceriotti , Sergey M. Borisov , Jasmine Berg , Pietro de Anna

Biological pattern formation is one of the most intriguing phenomena in nature. Simplest examples of such patterns are represented by travelling waves and stationary periodic patterns which occur during various biological processes…

Analysis of PDEs · Mathematics 2024-06-12 Valentina Bucur , Bakhtier Vasiev

The dynamics of cellular pattern formation is crucial for understanding embryonic development and tissue morphogenesis. Recent studies have shown that human dermal fibroblasts cultured on liquid crystal elastomers can exhibit an increase in…

Biological Physics · Physics 2023-08-25 Mengyang Gu , Xinyi Fang , Yimin Luo

Turing patterns are fundamental in biophysics, emerging from short-range activation and long-range inhibition processes. However, their paradigm is based on diffusive transport processes, which yields Turing patters that are less sharp than…

Soft Condensed Matter · Physics 2023-11-13 Benjamin M. Alessio , Ankur Gupta

Nature offers remarkable examples of complex photonic architectures such as those responsible for the iridescent colors of butterfly wings that emerge spontaneously during growth, well before any centralized control takes place. Arising…

Applied Physics · Physics 2025-12-02 Fadhila Chehami , Cyril Decroze , David R. Smith , Thomas Fromentèze

Kidney branching morphogenesis has been studied extensively, but the mechanism that defines the branch points is still elusive. Here we obtained a 2D movie of kidney branching morphogenesis in culture to test different models of branching…

Tissues and Organs · Quantitative Biology 2013-07-02 Srivathsan Adivarahan , Denis Menshykau , Odysse Michos , Dagmar Iber

We consider a reaction-diffusion system with discontinuous reaction terms modeled by non-ideal relays. The system is motivated by an epigenetic population model of evolution of two-phenotype bacteria which switch phenotype in response to…

Analysis of PDEs · Mathematics 2014-11-04 Pavel Gurevich , Dmitrii Rachinskii

Multicellular organisms comprise a diverse collection of stable tissues built from different cell types. It remains unclear how large numbers of interacting cells can precisely coordinate their gene expression during tissue…

Biological Physics · Physics 2022-10-31 Matthew Smart , Anton Zilman

The driven lattice gas (DLG) evolving at low temperature helps understanding the kinetics of pattern formation in unstable mixtures under anisotropic conditions. We here develop a simple theoretical description of kinetics in Monte Carlo…

Statistical Mechanics · Physics 2009-11-10 Pablo I. Hurtado , J. Marro , Pedro L. Garrido , E. V. Albano

The self-assembly of particles into organized structures is a key feature of living organisms and a major engineering challenge. While it may proceed through the binding of perfectly matched, puzzle-pieces-like particles, many other…

Soft Condensed Matter · Physics 2024-04-08 Hugo Le Roy , M. Mert Terzi , Martin lenz

Pattern forming systems allow for a wealth of states, where wavelengths and orientation of patterns varies and defects disrupt patches of monocrystalline regions. Growth of patterns has long been recognized as a strong selection mechanism.…

Pattern Formation and Solitons · Physics 2023-02-28 Ryan Goh , Arnd Scheel

Bacteria often develop distinct phenotypes to adapt to environmental stress. In particular, they can produce biofilms, dense communities of bacteria that live in a complex extracellular matrix. Bacterial biofilms provide a safe haven from…

Quantitative Methods · Quantitative Biology 2025-08-29 Stephen Williams , Daravuth Cheam , Michele K. Nishiguchi , Suzanne S. Sindi , Shilpa Khatri , Erica M. Rutter

Ooids are typically spherical sediment grains characterised by concentric layers encapsulating a core. There is no universally accepted explanation for ooid genesis, though factors such as agitation, abiotic and/or microbial mineralisation…

Geophysics · Physics 2018-01-15 Murray T. Batchelor , Robert V. Burne , Bruce I. Henry , Fei Li , Josef Paul

A dissipative particle dynamics (DPD) model for the quantitative simulation of biofilm growth controlled by substrate (nutrient) consumption, advective and diffusive substrate transport, and hydrodynamic interactions with fluid flow…

Computational Physics · Physics 2018-08-03 Zhijie Xu , Paul Meakin , Alexandre Tartakovsky , Timothy. D. Scheibe

We consider a model to describe stable configurations in epitaxial growth of crystals in the two dimensional case, and in the regime of linearized elasticity. The novelty is that the model also takes into consideration the adatom density on…

Analysis of PDEs · Mathematics 2024-11-28 Riccardo Cristoferi , Gabriele Fissore

The theory of patterns formation for a reaction-diffusion system defined on a multiplex is developed by means of a perturbative approach. The intra-layer diffusion constants act as small parameter in the expansion and the unperturbed state…

Statistical Mechanics · Physics 2015-06-22 Malbor Asllani , Daniel M. Busiello , Timoteo Carletti , Duccio Fanelli , Gwendoline Planchon

Controlled anisotropic growth of two-dimensional materials provides an approach for the synthesis of large single crystals and nanoribbons, which are promising for applications as low-dimensional semiconductors and in next-generation…

Materials Science · Physics 2019-02-12 Lixiang Wu , Weihuang Yang , Gaofeng Wang

It is shown how the combination of atomic deposition and nonlinear diffusion may lead, below a critical temperature, to the growth of nonuniform layers on a substrate. The dynamics of such a system is of the Cahn-Hilliard type, supplemented…

Pattern Formation and Solitons · Physics 2013-07-22 Daniel Walgraef

We investigate how a filter media microstructure influences filtration performance. We derive a theory that generalizes classical multiscale models for regular structures to account for filter media with more realistic microstructures,…

Fluid Dynamics · Physics 2019-01-30 Galina Printsypar , Maria Bruna , Ian M. Griffiths

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