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Chaos / Volume 6 / Issue 4

Chaos 6, 617 (1996); http://dx.doi.org/10.1063/1.166208 (10 pages)

Quantitative optical tomography of chemical waves and their organizing centers

A. T. Winfree, S. Caudle, G. Chen, P. McGuire, and Z. Szilagyi

326 Biological Sciences West, University of Arizona, Tucson, Arizona 85721

(Received 31 October 1996; accepted 4 November 1996)

Interference from topological, chemical and biological analogies led to the guess that a wide variety of homogeneous three‐dimensional materials characterized by ‘‘excitability’’ might support persistent particle‐like ‘‘organizing centers.’’ These are vortex filaments, typically rings, around which excitation fronts circulate in the uniform medium. Robust organizing centers were recently discovered numerically in several cases, motivating a search for them in nature. But if a candidate were observed there would still be no way to examine it for the expected topological intricacies. To solve this problem we designed and constructed a hybrid chemical/optical/computational instrument using the familiar principles of tomography by filtered backprojection. We demonstrate here that it can quantitatively resolve chemical vortex filaments in a new excitable medium fashioned for the purpose. The next step, not described here, is to use the light sensitivity of this medium to contrive initial conditions from which topologically exotic organizing centers would arise and possibly persist. © 1996 American Institute of Physics.

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KEYWORDS and PACS

Keywords

TOMOGRAPHY, CHEMICAL REACTIONS, VORTEX FLOW, TRAVELLING WAVES, TOPOLOGY, DIFFUSION, HEART

PACS

  • 82.40.Ck

    Pattern formation in reactions with diffusion, flow and heat transfer

  • 42.30.Wb

    Image reconstruction; tomography

  • 82.40.Bj

    Oscillations, chaos, and bifurcations

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.166208

PUBLICATION DATA

ISSN

1054-1500 (print)  
1089-7682 (online)

For access to fully linked references, you need to log in.
    Aliev, R. R. and Rovinsky, A. B. (1992). “Spiral waves in the homogeneous and inhomogeneous Belousov–Zhabotinsky reaction,” J. Phys. Chem. 96, 732–736JCPSA6000102000006002551000001.

    Belmonte, A. and Flesselles, J.-M. (1996). “Experimental determination of the dispersion relation for spiral waves,” Phys. Rev. Lett. 77 1174–1177.

    Lee, K. J. and Swinney, H. L. (1995). “Lamellar structure and self-replicating spots in a reaction–diffusion system,” Phys. Rev. E 51, 1899–1915.


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