Particle-based simulations of polarity establishment reveal stochastic promotion of Turing pattern formation

PLoS Computational Biology ◽

10.1371/journal.pcbi.1006016 ◽

2018 ◽

Vol 14 (3) ◽

pp. e1006016 ◽

Author(s):

Michael Pablo ◽

Samuel A. Ramirez ◽

Timothy C. Elston

Keyword(s):

Pattern Formation ◽

Turing Pattern ◽

Polarity Establishment

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Turing Pattern Formation by the CIMA Reaction in a Chemical System Consisting of Quaternary Alkyl Ammonium Cationic Groups

The Journal of Physical Chemistry B ◽

10.1021/jp111584u ◽

2011 ◽

Vol 115 (14) ◽

pp. 3959-3963 ◽

Author(s):

Kouichi Asakura ◽

Ryo Konishi ◽

Tomomi Nakatani ◽

Takaya Nakano ◽

Masazumi Kamata

Keyword(s):

Pattern Formation ◽

Chemical System ◽

Turing Pattern ◽

Alkyl Ammonium ◽

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Weakly nonlinear stability analyses of one-dimensional Turing pattern formation in activator-inhibitor/immobilizer model systems

Journal of Mathematical Biology ◽

10.1007/bf00187282 ◽

1995 ◽

Vol 33 (8) ◽

Author(s):

LauraE. Stephenson ◽

DavidJ. Wollkind

Keyword(s):

Pattern Formation ◽

Nonlinear Stability ◽

Model Systems ◽

Turing Pattern ◽

Weakly Nonlinear ◽

One Dimensional ◽

Stability Analyses ◽

Activator Inhibitor

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Turing pattern formation for reaction–convection–diffusion systems in fixed domains submitted to toroidal velocity fields

Applied Mathematical Modelling ◽

10.1016/j.apm.2011.03.040 ◽

2011 ◽

Vol 35 (10) ◽

pp. 4913-4925 ◽

Author(s):

D.A. Garzón-Alvarado ◽

C.H. Galeano ◽

J.M. Mantilla

Keyword(s):

Pattern Formation ◽

Velocity Fields ◽

Turing Pattern ◽

Convection Diffusion ◽

Diffusion Systems

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Gene Expression Time Delays and Turing Pattern Formation Systems

Bulletin of Mathematical Biology ◽

10.1007/s11538-006-9066-z ◽

2006 ◽

Vol 68 (1) ◽

pp. 99-130 ◽

Author(s):

E. A. Gaffney ◽

N. A. M. Monk

Keyword(s):

Gene Expression ◽

Pattern Formation ◽

Time Delays ◽

Turing Pattern ◽

Formation Systems ◽

Expression Time

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Stochastic Turing Pattern Formation in a Model with Active and Passive Transport

Bulletin of Mathematical Biology ◽

10.1007/s11538-020-00822-y ◽

2020 ◽

Vol 82 (11) ◽

Author(s):

Hyunjoong Kim ◽

Paul C. Bressloff

Keyword(s):

Pattern Formation ◽

Turing Pattern ◽

Passive Transport

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Turing pattern formation in a three species model with generalist predator and cross-diffusion

Nonlinear Analysis ◽

10.1016/j.na.2013.03.001 ◽

2013 ◽

Vol 85 ◽

pp. 214-232 ◽

Author(s):

Yunfei Lv ◽

Rong Yuan ◽

Yongzhen Pei

Keyword(s):

Pattern Formation ◽

Generalist Predator ◽

Turing Pattern ◽

Cross Diffusion

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Chaotic turing pattern formation in spatiotemporal systems

Frontiers of Physics in China ◽

10.1007/s11467-006-0014-z ◽

2006 ◽

Vol 1 (2) ◽

pp. 204-208 ◽

Author(s):

Jing-hua Xiao ◽

Hai-hong Li ◽

Jun-zhong Yang ◽

Gang Hu

Keyword(s):

Pattern Formation ◽

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Globally stable Turing pattern formation in Si3N4 microresonator

Conference on Lasers and Electro-Optics ◽

10.1364/cleo_si.2017.sw4n.4 ◽

2017 ◽

Author(s):

Shu-Wei Huang ◽

Jinghui Yang ◽

Shang-Hua Yang ◽

Mingbin Yu ◽

Dim-Lee Kwong ◽

...

Keyword(s):

Pattern Formation ◽

Turing Pattern ◽

Globally Stable

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Turing pattern formation in a predator–prey–mutualist system

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2011.05.022 ◽

2011 ◽

Vol 12 (6) ◽

pp. 3224-3237 ◽

Author(s):

Canrong Tian ◽

Zhi Ling ◽

Zhigui Lin

Keyword(s):

Pattern Formation ◽

Turing Pattern ◽

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Phase influence on mode competition in Turing pattern formation

Proceedings of the 2000 6th IEEE International Workshop on Cellular Neural Networks and their Applications (CNNA 2000) (Cat. No.00TH8509) ◽

10.1109/cnna.2000.876815 ◽

2002 ◽

Author(s):

L. Goras ◽

T. Teodorescu ◽

A. Maiorescu

Keyword(s):

Pattern Formation ◽

Mode Competition ◽

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