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Related papers: Diffusiophoresis-Enhanced Turing Patterns

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Turing patterns are stationary, wave-like structures that emerge from the nonequilibrium assembly of reactive and diffusive components. While they are foundational in biophysics, their classical formulation relies on a single characteristic…

Soft Condensed Matter · Physics 2026-01-30 Siamak Mirfendereski , Ankur Gupta

Diffusiophoresis, a ubiquitous phenomenon that induces particle transport whenever solute concentration gradients are present, was recently observed in the context of microsystems and shown to strongly impact colloidal transport (patterning…

Turing's mechanism is often invoked to explain periodic patterns in nature, although direct experimental support is scarce. Turing patterns form in reaction-diffusion systems when the activating species diffuse much slower than the…

Biological Physics · Physics 2024-03-15 Lucas Menou , Chengjie Luo , David Zwicker

Models of diffusion driven pattern formation that rely on the Turing mechanism are utilized in many areas of science. However, many such models suffer from the defect of requiring fine tuning of parameters or an unrealistic separation of…

Other Quantitative Biology · Quantitative Biology 2015-03-17 Thomas Butler , Nigel Goldenfeld

The Turing patterning mechanism is believed to underly the formation of repetitive structures in development, such as zebrafish stripes and mammalian digits, but it has proved difficult to isolate the specific biochemical species…

Molecular Networks · Quantitative Biology 2018-03-22 Stephen Smith , Neil Dalchau

Turing patterns are a cornerstone of biological self-organization, yet their emergence typically requires finely tuned parameters occupying narrow regions of high-dimensional space. This poses a fundamental challenge: how can evolving…

Cell Behavior · Quantitative Biology 2026-05-18 Seyoon Kim , Antonio Matas-Gil , Robert G. Endres

Understanding how colloids move in crowded environments is key for gaining control over their transport in applications such as drug delivery, filtration, contaminant/microplastic remediation and agriculture. The classical models of colloid…

Soft Condensed Matter · Physics 2026-04-15 Mobin Alipour , Yiran Li , Haoyu Liu , Amir A. Pahlavan

Predicting and controlling the transport of colloids in porous media is essential for applications ranging from contaminant remediation to drug delivery. In these complex environments, solute gradients are ubiquitous and could drive…

Soft Condensed Matter · Physics 2026-05-27 Aditya R. Pujari , Amir A. Pahlavan

The diffusion-driven Turing instability is a potential mechanism for spatial pattern formation in numerous biological and chemical systems. However, engineering these patterns and demonstrating that they are produced by this mechanism is…

Biological Physics · Physics 2025-12-02 Antonio Matas-Gil , Robert G. Endres

Reaction-diffusion (Turing) systems are fundamental to the formation of spatial patterns in nature and engineering. These systems are governed by a set of non-linear partial differential equations containing parameters that determine the…

Machine Learning · Computer Science 2022-11-28 Jordon Kho , Winston Koh , Jian Cheng Wong , Pao-Hsiung Chiu , Chin Chun Ooi

Diffusion-driven patterns appear on curved surfaces in many settings, initiated by unstable modes of an underlying Laplacian operator. On a flat surface or perfect sphere, the patterns are degenerate, reflecting translational/rotational…

Soft Condensed Matter · Physics 2025-09-09 John R. Frank , Jemal Guven , Mehran Kardar , Leyna Shackleton

Turing patterns play a fundamental role in morphogenesis and population dynamics, encoding key information about the underlying biological mechanisms. Yet, traditional inverse problems have largely relied on non-biological data such as…

Analysis of PDEs · Mathematics 2025-09-10 Yuhan Li , Hongyu Liu , Catharine W. K. Lo

Since its introduction in 1952, Turing's (pre-)pattern theory ("the chemical basis of morphogenesis") has been widely applied to a number of areas in developmental biology. The related pattern formation models normally comprise a system of…

Cell Behavior · Quantitative Biology 2020-10-28 Fiona R Macfarlane , Mark AJ Chaplain , Tommaso Lorenzi

Turing's reaction-diffusion theory of morphogenesis has been very successful in understanding macroscopic patterns within complex objects ranging from biological systems to sand dunes. However, this mechanism was never tested against…

Mesoscale and Nanoscale Physics · Physics 2022-08-02 Yuki Fuseya , Hiroyasu Katsuno , Kamran Behnia , Aharon Kapitulnik

Morphogenetic patterns are highly sophisticated dissipative structures. Are they governed by the same general mechanisms as chemical and hydrodynamic patterns? Turing's symmetry breaking and Wolpert's signalling provide alternative…

Pattern Formation and Solitons · Physics 2019-05-22 L. M. Pismen

Alan Turing's work in Morphogenesis has received wide attention during the past 60 years. The central idea behind his theory is that two chemically interacting diffusible substances are able to generate stable spatial patterns, provided…

Quantitative Methods · Quantitative Biology 2014-07-29 Tatiana T. Marquez-Lago , Pablo Padilla

Turing's theory of pattern formation has been used to describe the formation of self-organised periodic patterns in many biological, chemical and physical systems. However, the use of such models is hindered by our inability to predict, in…

Pattern Formation and Solitons · Physics 2021-02-03 Srikanth Subramanian , Sean M. Murray

In this letter, we characterize experimentally the diffusiophoretic motion of colloids and lambda- DNA toward higher concentration of solutes, using microfluidic technology to build spatially- and temporally-controlled concentration…

Soft Condensed Matter · Physics 2010-04-09 J. Palacci , B. Abecassis , C. Cottin-Bizonne , C. Ybert , L. Bocquet

Self-organization, the ability of a system of microscopically interacting entities to shape macroscopically ordered structures, is ubiquitous in Nature. Spatio-temporal patterns are abundantly observed in a large plethora of applications,…

Pattern Formation and Solitons · Physics 2019-06-17 Malbor Asllani , Timoteo Carletti , Duccio Fanelli , Philip K. Maini

Many cellular patterns exhibit a reaction-diffusion component, suggesting that Turing instability may contribute to pattern formation. However, biological gene-regulatory pathways are more complex than simple Turing activator-inhibitor…

Molecular Networks · Quantitative Biology 2024-12-05 Hazlam S. Ahmad Shaberi , Aibek Kappassov , Antonio Matas-Gil , Robert G. Endres
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