BIPHASIC OPTICAL SIGNAL OF AN OSCILLATING NONSTATIONARY BELOUSOV–ZHABOTINSKY BULK REACTION AND ITS SIMILARITY TO SOME NEUROPHYSIOLOGICAL EVENTS

Author:

DOLZMANN K.1,KALTENBACH S.1,HANKE W.1,FERNANDES DE LIMA V. M.2

Affiliation:

1. University of Hohenheim, Institute of Physiology-230, Garbenstrasse 30, 70599 Stuttgart, Germany

2. University of Sao Paulo, IPEN, Sao Paulo, Brazil

Abstract

Oscillating chemical bulk reactions of the Belousov–Zhabotinsky (BZ) type usually show a well-defined periodical color change representing the underlying chemical reactions. Models including up to more than 50 coupled reactions have been developed to describe the BZ-reaction in detail, however, typically a much simpler set of equations is used (i.e. the Brüsselator, the FKN, or the FitzHugh–Nagumo model). There are various types of oscillating reactions with color changes, for example, from transparent to yellow ( Ce catalyzed), or from blue to red (Ferroin catalyzed). In equilibrium systems and in models each color-change is usually a simple curve with one maximum, and the oscillation is stable in time. We have investigated the detailed structure of the intrinsic optical signal (IOS) of a BZ-reaction in-depth andfound, in a nonstationary ferroin catalyzed BZ-reaction, a much more complex optical behavior. Amazingly, this IOS with its detailed time dependence very much resembles electrical and optical signals from important neuronal processes. These are especially the sodium current during action potentials (AP) and the retinal spreading depression (SD). The time-scale of all these processes can be different by decades. This principal similarity, however, points to a deeper common theoretical basis of all these processes as assumed up to now, and makes the presented type of BZ-reaction an ideal model for a variety of neurophysiological signals, although the mechanisms are strictly different.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Reference20 articles.

1. B. P. Belousov, Sbornik Referatov po Radiacionnojj Medicine za 1958 g Moskau 147 (1959) p. 145.

2. B. P. Belousov, Selbstorganisation Chemischer Strukturen, Verlag Harri Klein, eds.  Kuhnert (Frankfurt Main, Germany, 1981) pp. 73–83.

3. Complex Dynamical Behavior from Coupling between a Catalyzed Belousov−Zhabotinskii-Like Reaction and Its Uncatalyzed Oscillatory Component in a Flow Reactor

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Bifurcation Analysis of a Belousov–Zhabotinsky Reaction Model;International Journal of Bifurcation and Chaos;2015-06-15

2. Discussion and Perspectives;Nonlinear Physical Science;2011

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