Results 51 to 60 of about 32,448 (189)
Turing pattern formation in the Brusselator system with nonlinear diffusion [PDF]
, 2013 In this work we investigate the effect of density dependent nonlinear diffusion on pattern formation in the Brusselator system. Through linear stability analysis of the basic solution we determine the Turing and the oscillatory instability boundaries.
Gambino, G. +3 more
core +1 more source
Turing Patterning Using Gene Circuits with Gas-Induced Degradation of Quorum Sensing Molecules. [PDF]
PLoS ONE, 2016 The Turing instability was proposed more than six decades ago as a mechanism leading to spatial patterning, but it has yet to be exploited in a synthetic biology setting.
Bartłomiej Borek +2 more
doaj +1 more source
Bifurcation and Patterns Analysis for a Spatiotemporal Discrete Gierer-Meinhardt System
Mathematics, 2022 The Gierer-Meinhardt system is one of the prototypical pattern formation models. The bifurcation and pattern dynamics of a spatiotemporal discrete Gierer-Meinhardt system are investigated via the couple map lattice model (CML) method in this paper.
Biao Liu, Ranchao Wu
doaj +1 more source
Turing Instability and Pattern Formation in an Activator-Inhibitor System with Nonlinear Diffusion
, 2014 In this work we study the effect of density dependent nonlinear diffusion on pattern formation in the Lengyel--Epstein system. Via the linear stability analysis we determine both the Turing and the Hopf instability boundaries and we show how nonlinear ...
Gambino, G. +2 more
core +1 more source
Turing Instability and Spatial Pattern Formation in a Model of Urban Crime
MathematicsA nonlinear crime model is generalized by introducing self- and cross-diffusion terms. The effect of diffusion on the stability of non-negative constant steady states is applied.
Isabella Torcicollo, Maria Vitiello
doaj +1 more source
Advanced Materials, EarlyView.A green, freeform manufacturing approach that utilizes robust aqueous two‐phase systems to create intricate and scalable photonic structures and non‐planar mechanochromic hydrogel actuators from plant‐based hydroxypropyl cellulose. This approach broadens the structural possibilities of sustainable photonic devices and mechanochromic systems, offering ...
Xiao Song +14 more
wiley +1 more source
Oscillatory Turing Patterns in a Simple Reaction-Diffusion System [PDF]
, 2007 Turing suggested that, under certain conditions, chemicals can react and diffuse in such a way as to produce steady-state inhomogeneous spatial patterns of chemical concentrations.
Liaw, S. S., Liu, R. T., Maini, P. K.
core
Spatio-temporal dynamics induced by competing instabilities in two asymmetrically coupled nonlinear evolution equations [PDF]
, 2014 Pattern formation often occurs in spatially extended physical, biological and chemical systems due to an instability of the homogeneous steady state.
A. Torcini +5 more
core +3 more sources
Pattern Formation in Non‐Equilibrium Architected Materials
Advanced Materials Technologies, EarlyView.This article demonstrates an artificial mechanical system ‐ a robotic metamaterial ‐ as an accessible and versatile platform within which to explore and prescribe the reaction‐diffusion driven pattern formation hitherto associated with comparatively less accessible and versatile non‐equilibrium biological and chemical systems.
Vinod Ramakrishnan, Michael J. Frazier
wiley +1 more source
Advances in Difference Equations, 2018 We study the pattern generating mechanism of a generalized Gierer–Meinhardt model with diffusions. We show the existence and stability of the Hopf bifurcation for the corresponding kinetic system under certain conditions.
Jinliang Wang, You Li, Xiaojie Hou
doaj +1 more source