Abstract
Chemical oscillators may be coupled together in a variety of ways. Two of the most important forms of coupling are physical (via transport) and chemical (via common species). Such coupling can result in new phenomena. Here we focus on rhythmogenesis, the onset of oscillations when two steady state systems are coupled, and oscillator death, the cessation of oscillations when two oscillatory systems are coupled. We also discuss briefly a biological example, the crustacean stomatogastric ganglion, and the important role of delay, which may be brought on by coupling, in chemical oscillation.
Similar content being viewed by others
References
O. Decroly, A. Goldbeter, Proc. Nat. Acad. Sci. USA79, 6917 (1982).
M. Alamgir, I.R. Epstein, J. Am. Chem. Soc.105, 2500 (1983).
I. Stuchl, M. Marek, J. Chem. Phys.77, 2956 (1982).
For a review, see I.R. Epstein, Comm. Mol. Cell Biophys., to appear.
C.G. Hocker, I.R. Epstein, J. Chem. Phys.90, 3071 (1989).
J. Boissonade, P. De Kepper, J. Phys. Chem.84, 501 (1980).
N. Kopell, G.B. Ermentrout, SIAM J. Appl. Math., to appear.
K. Bar-Eli, J. Phys. Chem.88, 3616 (1984).
K. Bar-Eli, S. Reuveni, J. Phys. Chem.89, 1329 (1985).
M.F. Crowley, I.R. Epstein, J. Phys. Chem.93, 2496 (1989).
M. Boukalouch, J. Elezgaray, A. Arneodo, J. Boissonade, P. De Kepper, J. Phys. Chem.91, 5843 (1987).
J. Weiner, F.W. Schneider, K. Bar-Eli, J. Phys. Chem.93, 2704 (1989).
E.C. Zimmerman, M. Schell, J. Ross, J. Chem. Phys.81, 1327 (1984).
M. Schell, J. Ross, J. Chem. Phys.85, 6489 (1986).
K.W. Smith, R.M. Noyes, J. Phys. Chem.87, 1520 (1983).
Y. Luo, I.R. Epstein, Adv. Chem. Phys., to appear.
R.J. Field, R.M. Noyes, J. Chem. Phys.60, 1877 (1974).
D.W. Tank, J.J. Hopfield, Sci. Am.257(6), 104 (1987).
B. Sakmann, E. Neher, eds.Single-Channel Recording, (Plenum, New York, 1983).
R.R. Llinás, Science242, 1654 (1988).
A.I. Selverston, M. Moulins, eds.The Crustacean Stomatogastric System, (Springer-Verlag, Berlin, 1987)
J.P. Miller, A.I. Selverston, Science206, 702 (1979).
S.L. Hooper, E. Marder, J. Neurosci.,7, 2097 (1987).
T. Bal, F. Nagy, M. Moulins, J. Comp. Physiol. A163, 715 (1988).
I.R. Epstein, E. Marder, submitted for publication.
J. Golowasch, F. Buchholtz, E. Marder, I.R. Epstein, to be published.
O. Citri, I.R. Epstein, J. Phys. Chem.92, 1865 (1988).
L. Györgyi, R.J. Field, J. Phys. Chem.93, 2865 (1989).
Q. Ouyang, J. Boissonade, J.C. Roux, P. De Kepper, Phys. Lett. A134, 282 (1989).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Epstein, I.R. Experimental and theoretical studies of coupled chemical oscillators. React Kinet Catal Lett 42, 241–252 (1990). https://doi.org/10.1007/BF02065359
Issue Date:
DOI: https://doi.org/10.1007/BF02065359