Oregonator

The Oregonator is a theoretical model for a type of autocatalytic reaction. The Oregonator (Orygunator) is the simplest realistic model of the chemical dynamics of the oscillatory Belousov-Zhabotinsky reaction.^[1] It was created by Richard M. Noyes at the University of Oregon. It is a portmanteau of Oregon and oscillator.

Earlier, the Brusselator model was proposed by Ilya Prigogine and his collaborators at the Free University of Brussels^[2] as a portmanteau of Brussels and oscillator.

The Oregonator is characterized by the reactions

I		A + Y	$\longrightarrow$	X + P
II		X + Y	$\longrightarrow$	2 P
III		A + X	$\longrightarrow$	2 X + 2 Z
IV		2 X	$\longrightarrow$	A + P
V		B + Z	$\longrightarrow$	f Y

$\frac{d [X]}{dt}= k_I [A] [Y] - k_{II} [X] [Y] + k_{III} [A] [X] - 2k_{IV} [X]^2$

$\frac{d [Y]}{dt}= -k_I [A] [Y] - k_{II} [X] [Y] + \frac{1}{2}f k_V [B] [Z]$

$\frac{d [Z]}{dt}= 2k_{III} [A] [X] - k_V [B] [Z]$

See also

• Lotka-Volterra equation

References

1. ^ "Oregonator". http://www.scholarpedia.org/article/Oregonator. Retrieved 2010-05-16. 
2. ^ "IDEA - Internet Differential Equations Activities". Washington State University. http://www.idea.wsu.edu/OscilChem/#Brusselator%20Model. Retrieved 2010-05-16.