Pattern Formation in Chemical Systems: Roles of Open Reactors

2018 ◽  
pp. 323-347 ◽  
Author(s):  
Wing Yim Tam
Keyword(s):  
Pattern Formation ◽  
Chemical Systems

Pattern formation in chemical systems

1995 ◽  
Vol 86 (1-2) ◽  
pp. 149-157 ◽  
Author(s):  
Raymond Kapral
Keyword(s):  
Pattern Formation ◽  
Chemical Systems

PATTERN FORMATIONS IN CHEMICAL SYSTEMS

2003 ◽  
Vol 06 (01) ◽  
pp. 3-14 ◽  
Author(s):  
JERZY MASELKO
Keyword(s):  
Numerical Simulation ◽  
Pattern Formation ◽  
Complex Pattern ◽  
Chemical Systems ◽  
Complex Patterns ◽  
Pattern Formations

The formation of complex patterns in chemical systems is discussed in the following cases: relations of pattern formation to thermodynamics theories; unusually complex pattern formation in very simple experimental chemical systems; and numerical simulation of patterns that develop in multicellular chemical systems. The paper concludes with a discussion on future technological applications.

scholarly journals Is the Skin an Excitable Medium? Pattern Formation in Erythema Gyratum Repens

2005 ◽  
Vol 6 (1) ◽  
pp. 57-65 ◽  
Author(s):  
Stephen Gilmore ◽  
Kerry A. Landman
Keyword(s):  
Pattern Formation ◽  
Reaction Diffusion ◽  
Biochemical Basis ◽  
Bz Reaction ◽  
Chemical Systems ◽  
Inflammatory Dermatosis ◽  
Reaction Diffusion Model ◽  
Oscillatory Chemical ◽  
Spatio Temporal ◽  
Scaly Skin

Erythema gyratum repens (EGR) is a rare, inflammatory dermatosis of unknown aetiology. The morphology of the eruption is striking and displays rapidly evolving circinate and gyrate bands of erythematous and scaly skin. Although the aetiology of the pattern is unknown, it has previously been noted that the eruption shares morphologic features with the patterns of spatio-temporal chemical concentration profiles observed in the Belusov-Zhabotinski (BZ) reaction. Yet this morphologic correspondence has not been investigated further. Here we apply a simple non-linear reaction–diffusion model, previously used to describe the BZ reaction, as a template for pattern formation in EGR, and show how the mechanism may provide a biochemical basis for many of the dynamic and morphologic features of the rash. These results are supported by the results of a cellular automaton simulation approximating the dynamics of oscillatory chemical systems—the Hodgepodge machine—where the spatio-temporal patterns developed show astonishing similarities to the morphology of EGR.

Spatial recurrence strategies reveal different routes to Turing pattern formation in chemical systems

2009 ◽  
Vol 373 (46) ◽  
pp. 4266-4272 ◽  
Author(s):  
Angelo Facchini ◽  
Federico Rossi ◽  
Chiara Mocenni
Keyword(s):  
Pattern Formation ◽  
Turing Pattern ◽  
Chemical Systems
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