Stochastic reaction and diffusion on growing domains: Understanding the breakdown of robust pattern formation

2011 ◽  
Vol 84 (4) ◽  
Author(s):  
Thomas E. Woolley ◽  
Ruth E. Baker ◽  
Eamonn A. Gaffney ◽  
Philip K. Maini
Keyword(s):  
Pattern Formation ◽  
Stochastic Reaction ◽  
And Diffusion ◽  
Reaction And Diffusion

Biological self-organisation and pattern formation by way of microtubule reaction-diffusion processes

1999 ◽  
Vol 02 (03) ◽  
pp. 221-276 ◽  
Author(s):  
James Tabony ◽  
Laurent Vuillard ◽  
Cyril Papaseit
Keyword(s):  
Pattern Formation ◽  
Diffusion Processes ◽  
Reaction Diffusion ◽  
Underlying Process ◽  
Self Organisation ◽  
And Diffusion ◽  
Reaction And Diffusion

Chemically dissipative or Turing processes, have been predicted by theoreticians as a way by which an initially homogenous solution of chemicals or biochemicals can spontaneously self-organise and give rise to a macroscopic pattern by way of a combination of reaction and diffusion. They have been advanced as a possible underlying process for biological self-organisation and pattern formation. Until now, there have been no examples of in vitro biological substances showing this type of behaviour. Evidence is presented that microtubule solutions in vitro self-organise in this manner and that similar processes may occur in vivo during embryogenesis.

Solid-State Reaction and Diffusion Behaviors of CaFe2O4 and TiO2 at 1373 K to 1473 K

2021 ◽  
Author(s):  
Mingrui Yang ◽  
Junyi Xiang ◽  
Chenguang Bai ◽  
Xuangeng Zhou ◽  
Zhongci Liu ◽  
...  
Keyword(s):  
Solid State ◽  
Solid State Reaction ◽  
And Diffusion ◽  
Diffusion Behaviors ◽  
Reaction And Diffusion

Decoupling Electrochemical Reaction and Diffusion Processes in Ionically-Conductive Solids on the Nanometer Scale

ACS Nano ◽  
2010 ◽  
Vol 4 (12) ◽  
pp. 7349-7357 ◽  
Author(s):  
Nina Balke ◽  
Stephen Jesse ◽  
Yoongu Kim ◽  
Leslie Adamczyk ◽  
Ilia N. Ivanov ◽  
...  
Keyword(s):  
Diffusion Processes ◽  
Electrochemical Reaction ◽  
Nanometer Scale ◽  
And Diffusion ◽  
Reaction And Diffusion
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