Pattern formation in a two-component reaction–diffusion system with delayed processes on a network

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2016.06.003 ◽

2016 ◽

Vol 462 ◽

pp. 230-249 ◽

Cited By ~ 8

Author(s):

Julien Petit ◽

Malbor Asllani ◽

Duccio Fanelli ◽

Ben Lauwens ◽

Timoteo Carletti

Keyword(s):

Pattern Formation ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Two Component

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Programmable reactions and diffusion using DNA for pattern formation in hydrogel medium

Molecular Systems Design & Engineering ◽

10.1039/c9me00004f ◽

2019 ◽

Vol 4 (3) ◽

pp. 639-643 ◽

Cited By ~ 7

Author(s):

Keita Abe ◽

Ibuki Kawamata ◽

Shin-ichiro M. Nomura ◽

Satoshi Murata

Keyword(s):

Pattern Formation ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

And Diffusion

We demonstrate a method of pattern formation based on an artificial reaction diffusion system in hydrogel medium.

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Global weak solution for a singular two-component reaction-diffusion system

Bulletin of the London Mathematical Society ◽

10.1112/blms/bdt058 ◽

2013 ◽

Vol 46 (1) ◽

pp. 1-13 ◽

Cited By ~ 1

Author(s):

Arnaud Ducrot ◽

Michel Langlais

Keyword(s):

Weak Solution ◽

Reaction Diffusion ◽

Global Weak Solution ◽

Reaction Diffusion System ◽

Diffusion System ◽

Two Component

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Pattern formation in anN+Qcomponent reaction–diffusion system

Chaos An Interdisciplinary Journal of Nonlinear Science ◽

10.1063/1.165893 ◽

1992 ◽

Vol 2 (4) ◽

pp. 513-524 ◽

Cited By ~ 37

Author(s):

John E. Pearson ◽

William J. Bruno

Keyword(s):

Pattern Formation ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System

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Pattern Formation in the Turing–Hopf Codimension-2 Phase Space in a Reaction–Diffusion System

Chinese Physics Letters ◽

10.1088/0256-307x/26/2/024702 ◽

2009 ◽

Vol 26 (2) ◽

pp. 024702 ◽

Cited By ~ 8

Author(s):

Yuan Xu-Jin ◽

Shao Xin ◽

Liao Hui-Min ◽

Ouyang Qi

Keyword(s):

Phase Space ◽

Pattern Formation ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System

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Simulation for trabecular pattern formation in cancellous bone defect using reaction-diffusion system model

The Proceedings of the Bioengineering Conference Annual Meeting of BED/JSME ◽

10.1299/jsmebio.2004.16.39 ◽

2004 ◽

Vol 2004.16 (0) ◽

pp. 39-40

Author(s):

Yoshiki HONMA ◽

Taiji ADACHI ◽

Yoshihiro TOMITA

Keyword(s):

Pattern Formation ◽

Bone Defect ◽

Cancellous Bone ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

System Model ◽

Trabecular Pattern

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A self-organized mesh generator using pattern formation in a reaction–diffusion system

Applied Mathematics Letters ◽

10.1016/j.aml.2012.08.012 ◽

2013 ◽

Vol 26 (2) ◽

pp. 201-206 ◽

Cited By ~ 2

Author(s):

Hirofumi Notsu ◽

Daishin Ueyama ◽

Masahiro Yamaguchi

Keyword(s):

Pattern Formation ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Mesh Generator ◽

Self Organized

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Bifurcation and pattern formation in a coupled higher autocatalator reaction diffusion system

Applied Mathematics and Mechanics ◽

10.1007/s10483-007-0912-1 ◽

2007 ◽

Vol 28 (9) ◽

pp. 1235-1248 ◽

Cited By ~ 1

Author(s):

Li Zhang ◽

San-yang Liu

Keyword(s):

Pattern Formation ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System

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Pattern formation in a reaction-diffusion system of Fitzhugh-Nagumo type before the onset of subcritical Turing bifurcation

Physical Review E ◽

10.1103/physreve.95.052208 ◽

2017 ◽

Vol 95 (5) ◽

Cited By ~ 5

Author(s):

Maxim Kuznetsov ◽

Andrey Kolobov ◽

Andrey Polezhaev

Keyword(s):

Pattern Formation ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Turing Bifurcation

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Self-Organized Pattern Formation of a Bacteria Colony Modeled by a Reaction Diffusion System and Nucleation Theory

Physical Review Letters ◽

10.1103/physrevlett.90.258102 ◽

2003 ◽

Vol 90 (25) ◽

Cited By ~ 16

Author(s):

Joe Y. Wakano ◽

Shinya Maenosono ◽

Atsushi Komoto ◽

Noriko Eiha ◽

Yukio Yamaguchi

Keyword(s):

Pattern Formation ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Nucleation Theory ◽

Self Organized

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Three-dimensional computational simulation of trabecular pattern formation in cancellous bone using reaction-diffusion system

The proceedings of the JSME annual meeting ◽

10.1299/jsmemecjo.2003.7.0_153 ◽

2003 ◽

Vol 2003.7 (0) ◽

pp. 153-154

Author(s):

Taiji ADACHI ◽

Hideto KIMURA ◽

Yoshihiro TOMITA

Keyword(s):

Pattern Formation ◽

Cancellous Bone ◽

Computational Simulation ◽

Three Dimensional ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Trabecular Pattern

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