Diffusive instabilities and spatial patterning from the coupling of reaction–diffusion processes with Stokes flow in complex domains

Model reduction enables Turing instability analysis of large reaction–diffusion models

(2018) Stephen Smith et al.   Journal of the Royal Society Interface

Influence of fast advective flows on pattern formation of Dictyostelium discoideum

(2018) Torsten Eckstein et al.   PLoS One

Polyamide membranes with nanoscale Turing structures for water purification

(2018) Zhe Tan et al.   SCIENCE

Asymptotic Analysis of a Silicon Furnace Model

(2018) Benjamin M. Sloman et al.   SIAM JOURNAL ON APPLIED MATHEMATICS

Turing-Hopf Patterns on Growing Domains: the Torus and the Sphere

(2018) Faustino Sánchez-Garduño et al.   JOURNAL OF THEORETICAL BIOLOGY

Domain Size Driven Instability: Self-Organization in Systems with Advection

(2018) Václav Klika et al.   SIAM JOURNAL ON APPLIED MATHEMATICS

Influence of Curvature, Growth, and Anisotropy on the Evolution of Turing Patterns on Growing Manifolds

(2018) Andrew L. Krause et al.   BULLETIN OF MATHEMATICAL BIOLOGY

The interplay between phenotypic and ontogenetic plasticities can be assessed using reaction-diffusion models

(2017) Aldo Ledesma-Durán et al.   JOURNAL OF BIOLOGICAL PHYSICS

Numerical study of three-dimensional Turing patterns using a meshless method based on moving Kriging element free Galerkin (EFG) approach

(2016) Mehdi Dehghan et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Convection-Induced Fingering Fronts in the Chlorite–Trithionate Reaction

(2016) Yang Liu et al.   JOURNAL OF PHYSICAL CHEMISTRY A

Reaction–diffusion–advection approach to spatially localized treadmilling aggregates of molecular motors

(2016) Arik Yochelis et al.   PHYSICA D-NONLINEAR PHENOMENA

Nonlinear effects of electric fields in the Belousov-Zhabotinsky reaction dissolved in a microemulsion

(2015) Patricia Dähmlow et al.   CHAOS

Striped pattern selection by advective reaction-diffusion systems: Resilience of banded vegetation on slopes

(2015) E. Siero et al.   CHAOS

Incipient mixing by Marangoni effects in slow viscous flow of two immiscible fluid layers

(2015) Lydia M. Rickett et al.   IMA JOURNAL OF APPLIED MATHEMATICS

Pattern formation induced by a differential Poiseuille flow

(2014) L. Stucchi et al.   European Physical Journal-Special Topics

Stability of Kuramoto-Sivashinsky fronts in moving fluid

(2014) P. M. Vilela et al.   European Physical Journal-Special Topics

On non-self-adjoint Sturm-Liouville operators in the space of vector functions

(2014) Fulya Şeref et al.   MATHEMATICAL NOTES

COMSOL Multiphysics®: Finite element software for electrochemical analysis. A mini-review

(2013) Edmund J.F. Dickinson et al.   ELECTROCHEMISTRY COMMUNICATIONS

Intracellular Mechanochemical Waves in an Active Poroelastic Model

(2013) Markus Radszuweit et al.   PHYSICAL REVIEW LETTERS

Distinguishing similar patterns with different underlying instabilities: Effect of advection on systems with Hopf, Turing-Hopf, and wave instabilities

(2012) Igal Berenstein   CHAOS

Pattern formation in a reaction-diffusion-advection system with wave instability

(2012) Igal Berenstein   CHAOS

Bacterial rheotaxis

(2012) Marcos et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Differential Diffusivity of Nodal and Lefty Underlies a Reaction-Diffusion Patterning System

(2012) P. Muller et al.   SCIENCE

The surface finite element method for pattern formation on evolving biological surfaces

(2011) R. Barreira et al.   JOURNAL OF MATHEMATICAL BIOLOGY

Flow-distributed spikes for Schnakenberg kinetics

(2011) Juncheng Wei et al.   JOURNAL OF MATHEMATICAL BIOLOGY

Pattern Formation in Active Fluids

(2011) Justin S. Bois et al.   PHYSICAL REVIEW LETTERS

Pattern solutions of the Klausmeier model for banded vegetation in semi-arid environments II: patterns with the largest possible propagation speeds

(2011) J. A. Sherratt   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Stability of convective patterns in reaction fronts: A comparison of three models

(2010) Desiderio A. Vasquez et al.   CHAOS

The Gierer–Meinhardt system on a compact two-dimensional Riemannian manifold: Interaction of Gaussian curvature and Green's function

(2010) Wang Hung Tse et al.   JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES

Generalizing the Keller–Segel Model: Lyapunov Functionals, Steady State Analysis, and Blow-Up Results for Multi-species Chemotaxis Models in the Presence of Attraction and Repulsion Between Competitive Interacting Species

(2010) Dirk Horstmann   JOURNAL OF NONLINEAR SCIENCE

Classification of Sturm-Liouville differential equations with complex coefficients and operator realizations

(2010) J. Qi et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Reaction-Diffusion Model as a Framework for Understanding Biological Pattern Formation

(2010) S. Kondo et al.   SCIENCE

Pattern Formation Induced by Time-Dependent Advection

(2010) A. V. Straube et al.   Mathematical Modelling of Natural Phenomena

EMERGENCE OF TRAVELING PATTERN IN A PREDATOR–PREY SYSTEM

(2009) PENG ZHOU et al.   INTERNATIONAL JOURNAL OF MODERN PHYSICS C

Towards nonlinear selection of reaction-diffusion patterns in presence of advection: a spatial dynamics approach

(2009) Arik Yochelis et al.   PHYSICAL CHEMISTRY CHEMICAL PHYSICS

On Propagation of Excitation Waves in Moving Media: The FitzHugh-Nagumo Model

(2009) Elena A. Ermakova et al.   PLoS One

Flow-induced symmetry reduction in two-dimensional reaction–diffusion system

(2008) Hai Xiang Hu et al.   CHEMICAL PHYSICS

Magnetotactic Bacteria and Magnetosomes

(2008) Damien Faivre et al.   CHEMICAL REVIEWS

Fluid dynamics in developmental biology: Moving fluids that shape ontogeny

(2008) Julyan H. E. Cartwright et al.   HFSP Journal

A user’s guide to PDE models for chemotaxis

(2008) T. Hillen et al.   JOURNAL OF MATHEMATICAL BIOLOGY

Advection of Chemical Reaction Fronts in a Porous Medium

(2008) Igor V. Koptyug et al.   JOURNAL OF PHYSICAL CHEMISTRY B

Turing Pattern Formation in the Brusselator Model with Superdiffusion

(2008) A. A. Golovin et al.   SIAM JOURNAL ON APPLIED MATHEMATICS

The Stability of the Normal State of Superconductors in the Presence of Electric Currents

(2008) Y. Almog   SIAM JOURNAL ON MATHEMATICAL ANALYSIS