Chlorine dioxide-iodine-malonic acid

Lengyel I, Rabai G and Epstein I R Experimental and modelling study of oscillations in the chlorine dioxide-iodine-malonic acid reaction J. Am. Chem. See. 112 9104-10... 

The Lengyel-Epstein model is a more realistic chemical reaction scheme. The Lengyel-Epstein model is a two-variable model for the chlorite-iodide-malonic acid (CIMA) reaction scheme and its variant, the chlorine dioxide-iodine-malonic acid (CDIMA) reaction scheme. In the model, the oscillatory behavior is related with ... 

For an application of Hopf bifurcations, we now consider a class of experimental systems known as chemical oscillators. These systems are remarkable, both for their spectacular behavior and for the story behind their discovery. After presenting this background information, we analyze a simple model proposed recently for oscillations in the chlorine dioxide-iodine-malonic acid reaction. The definitive reference on chemical oscillations is the book edited by Field and Burger (1985). See also Epsteinet al. (1983), Winfree (1987b) and Murray (1989). 

In a similar spirit, Lengyel et al. (1990) have proposed and analyzed a particularly elegant model of another oscillating reaction, the chlorine dioxide-iodine-malonic acid (CIO2 -I2 -MA) reaction. Their experiments show that the following three reactions and empirical rate laws capture the behavior of the system ... 

Relaxation limit of a chemical oscillator) Analyze the model for the chlorine dioxide-iodine-malonic acid oscillator, (8.3.4), (8.3.5), in the limit b i. Sketch the limit cycle in the phase plane and estimate its period. 

Horvath, A.K., Dolnik, M., Zhabotinsky, A.M., Epstein, I.R. Kinetics of photoresponse of the chlorine dioxide-iodine-malonic acid reaction. J. Phys. Chem. A 104(24), 5766-5769... 

Rudovics, B., Barillot, E., Davies, P.W., Dulos, E., Boissonade, J., De Kepper, R Experimental smdies and quantitative modeling of Turing patterns in the (chlorine dioxide, iodine, malonic acid) reaction. J. Phys. Chem. A 103, 1790-1800 (1999). http //dx.doi.org/ 10.1021/jp983210v... 

Setayeshgar, S., Cross, M.C. Numerical bifurcation diagram for the two-dimensional boundary-fed chlorine-dioxide-iodine-malonic-acid system. Phys. Rev. E 59(4), 4258-4264 (1999). http //dx.doi.org/10.1103/PhysRevE.59.4258... 

CDIMA Chlorine dioxide-iodine-malonic acid... 

Dividing blobs, chemical flowers and patterned islands Different modes of propagation of the patterned state have been observed in CDIMA reaction (chlorine dioxide-iodine-malonic acid - PVA in a one-sided-fed reactor) in an absolutely unstable uniform state, among which are a spot division and finger printing mode [55]. 

Turing patterns in the closely related chlorine dioxide-iodine-malonic acid system are shown in Figure 3. As a system parameter, in this case the input concentration of chorine dioxide, is varied, the pattern undergoes a bifurcation from spots to stripes. Comparison of the patterns in Figure 3 with those seen on the male and female tropical fish pictured in Figure 4 is at least suggestive that Turing patterns may play a role in pattern formation in certain species. The bifurcation parameter here is presumably a hormone related to sex determination in the fish. 

Figure 3. Turing patterns in the chlorine dioxide-iodine-malonic acid reaction in an unstirred gel reactor. Initial concentrations [malonic acid] 1x1 (T M, [IJ = SxlOr M [CIOJ = Mfleft). I-5xlff M (right).

Kadar, S. Lengyel, I. Epstein, I. R. 1995. Modeling of Transient Turing-Type Patterns in the Closed Chlorine-Dioxide-Iodine-Malonic Acid-Starch Reaction System, J. Phys. Chem. 99, 4054-4058. 

Lengyel, I. Rabai, G. Epstein, I. R. 1990b. Experimental and Modeling Study of Oscillations in the Chlorine Dioxide-Iodine-Malonic Acid Reaction, J. Am. Chem. Soc. 7/2, 9104-9110. 

The Chlorite-Iodide-Malonic Acid (CIMA) and Chlorine Dioxide-Iodine-Malonic Acid (CDIMA) Reactions... 

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