Three-dimensional chemical waves in the Belousov–Zhabotinskii reaction

The Dynamics of Scroll Waves in Excitable Media

“…Pictures in [52] show that a scroll ring with initial radius of about 3 mm shrank and disappeared in about 60 minutes. Using b2 D 0.12 mmZ/min, we predict a lifetime for this scroll ring of about 40 minutes, which is in the right ballpark [19].…”

“…The experimental study of scroll waves is made difficult by the fact that at this time, it is difficult to observe what is transpiring in the interior of the myocardial wall or in a thick layer of BZ reagent. The experimental scroll waves that have been observed have relied on the partial transparency of BZ medium [8], [9], [38], [52] or on coarse measurements using plunge electrodes in myocardium. Techniques to obtain better data are under development.…”

“…You can tell that a scientific problem has popular appeal when it is displayed pictorially on the cover of a major scientific journal. Spiral waves of activity in excitable media have been depicted on the covers of a number of journals, including Science [24], [27], [33], [45], [47], [54], Nature [8], [29], [52], [64], and Scientific American [55]. (See also [28], [34], and [50].)…”

Pattern Formation And Wound Healing

“…If, instead, the catalyst Fe 2+ and Fe 3+ and phenanthroline is used, the periodic oscillations are visualised as colour changes between reddish-orange and blue (for a review, see Johnson and Scott, 1996). This system can also exhibit a number of different types of wave structures such as propagating fronts, spiral waves, target patterns and toroidal scrolls and all these spatiotemporal phenomena have been studied by using models similar in form to (1) and (2) (Zaikin and Zhabotinskii, 1970, Winfree, 1972, 1974, Muller et al, 1985, Welsh et al, 1983, Zykov, 1987. Such oscillatory and wave-like patterns are characteristic of media that are termed excitable.…”

Twist localizes three-dimensional patterns

“…Qualitatively, many results should also apply to a similar case, pattern formation in 3D excitable media, for which controlled experimental realizations exist (e.g. [7][8][9]), although the containers are typically rather small. In both systems it seems reasonable to concentrate on the structure and dynamics of the filaments formed by the cores of scroll waves, which largely control the dynamics in the remaining space.…”