Abstract
The study of spatiotemporal organization in reactive media due to the coupling of chemical reactions with transport processes has become, in recent years, a subject of intensive research in the field of non-equilibrium dynamics in chemical systems. The attention given to the evolution of spatial inhomogeneities on a macroscopic scale has been rapidly growing, ever since the remarkable phenorusnon of chemical wave propagation in the Belousov-Zhabotinskii reaction was discovered almost 20 years ago [1,2]. However, as pointed out by TYSON and KAGAN in their historical review in this Volume, one should remember that numerous observations of chemical patterns in heterogeneous systems were reported before systematic research on temporal and spatial periodicities in homogeneous liquid-phase reactions began.
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References
A.N. Zaikin, A.M. Zhabotinskii: Nature 225, 535 (1970)
H.-G. Busse: J. Phys. Chem. 73, 750 (1962)
F.F. Runge: Der Bildunqstrieb der Stoffe veranschaulicht in selbständig gewachsenen Bildern (Oranienburg, Selbstverlag 1855)
E.S. Liesegang: Phot. Archiv 21, 321 (1986)
G. Lippmann: Ann. Phys. 2nd Series 149, 544 (1873)
E.S. Hedges, J.E. Myers: The Problem of Physico-chemical Periodicity (Arnold & Co., London 1926)
P. Glansdorff, I. Prigogine: Thermodynamic Theory of Structure, Stability and Fluctuations (Wiley Interscience, New York 1971)
H. Haken: Synergetics. 3rd ed. (Springer, Berlin, Heidelberg 1983)
A. Boiteux, B. Hess: Ber. Bunsenges. Phys. Chem. 84, 392 (1980)
P. Möckel: Naturwissenschaften 64, 224 (1977)
J.C. Micheau, M. Gimenez, P. Borckmans, G. Dewel: Nature 305, 43 (1983)
D. Avnir, M. Kagan: Nature 307, 717 (1984)
A.M. Zhabotinskii, A.N. Zaikin: J. theor. Biol. 40, 45 (1973)
K. Showalter: J. Chem. Phys. 73, 3735 (1980)
M. Orban: J. Am. Chem. Soc. 102, 4311 (1980)
K.I. Agladze, V.I. Krinsky, A.M. Pertsov: Nature 308, 834 (1984)
S.C. Müller, Th. Plesser, B. Hess: Naturwissenschaften 73, 165 (1986)
P.M. Wood, J. Ross: J. Chem. Phys. 82, 1924 (1985)
S.C. Müller, Th. Plesser, B. Hess: Anal. Biochem. 146, 125 (1985)
C. Vidal, A. Pagola: J. Phys. Chem. 91, 501 (1987)
K.H. Stern: Chem. Rev. 54, 79 (1954)
K.H. Stern: A Bibliography of Liesegang Rings, 2nd ed. (U.S. GPO, Washington, D.C., 1967)
R. Fricke, O. Suwelack: Z. Phys. Chem. 124, 359 (1926)
H. Higuchi, R. Matuura: Mem. Fac. Sci. Kyushu Univ., Ser. C5, 33 (1962)
S. Kai, S.C. Müller, J. Ross: J. Chem. Phys. 76, 1392 (1982)
M.E. LeVan, J. Ross: J. Phys. Chem. 91, 6300 (1987)
W. Ostwald: Lehrbuch der Allgemeinen Chemie (Engelmann, Leipzig 1897)
C. Wagner: J. Colloid Sci. 5, 85 (1950)
J.B. Keller, S.I. Rubinow: J. Chem. Phys. 74, 5000 (1982)
R. Lovett, P. Ortoleva, J. Ross: J. Chem. Phys. 69, 947 (1978)
G. Venzl, J. Ross: J. Chem. Phys. 77, 1308 (1982)
G.T. Dee: Phys. Rev. Lett. 57, 257 (1986)
S.C. Müller, S. Kai, J. Ross: Science 216, 635 (1982)
R.J. Field, M. Burger (eds.): Oscillations and Traveling Waves in Chemical Systems (Wiley, New York 1985)
S.C. Müller, Th. Plesser, B. Hess: Science 230, 661 (1985)
J.M. Bodet, C. Vidal, J. Ross: J. Chem. Phys. 86, 4418 (1987)
Zs. Nagy-Ungvarai, S.C. Müller, Th. Plesser, B. Hess: Naturwissenschaften (1988), in press
A.T. Winfree: Science 181, 937 (1973)
S.C. Müller, Th. Plesser, B. Hess: Biophys. Chem. 26, 357 (1987)
S.C. Müller, Th. Plesser, B. Hess: Physica 24D, 71 and 87 (1987)
J.P. Keener, J.J. Tyson: Physica 21D, 307 (1986)
P. Foerster, S.C. Müller, B. Hess: In Spatial Inhomogeneities and Transient Behavior in Chemical Kinetics, ed. by G. Nicolis, P. Gray (1988), in press
V.S. Zykov, G.L. Morozova: Biofizika 23, 717 (1979)
S.C. Müller, Th. Plesser, B. Hess: In Physicochemical Hydrodynamics: Interfacial Phenomena, ed. by M.G. Velarde, B. Nichols, NATO ASI Ser. (Plenum, New York 1988)
D. Walgraef: In Non-Eauilibrium Dynamics in Chemical System, ed. by C. Vidal, A. Pacault, Springer Ser. Syn., Vol. 27 (Springer, Berlin, Heidelberg 1984) p. 114
M. Markus, S.C. Müller, Th. Plesser, B. Hess: Biol. Cybern. 57, 187 (1987)
H. Miike, S.C. Müller, B. Hess: Chem. Phys. Lett. (1988), in press
B. Hess, B. Chance, A. Betz: Ber. Bunsenges. Phys. Chem. 68, 768 (1964)
B. Hess, A. Boiteux: Annu. Rev. Biochem. 40, 237 (1971)
M. Markus, B. Hess: Proc. Natl. Acad. Sci. USA 81, 4394 (1984)
S.C. Müller, Th. Plesser, A. Boiteux, B. Hess: Z. Naturforsch. 40c, 588 (1985)
S.C. Müller, Th. Plesser, B. Hess: In Temporal Order, ed. by L. Rensing, N.I. Jaeger, Springer Ser. Syn., Vol. 29 (Springer, Berlin, Heidelberg 1985) p. 194
Th. Plesser, S.C. Müller, B. Hess, I. Lamprecht, B. Schaarschmidt: FEBS Lett. 198, 42 (1985)
E. Nakache, M. Dupeyrat, M. Vignes-Adler: J. Colloid Interface Sci. 94, 187 (1983)
S. Kai, S.C. Müller: Sci. Form 1, 9 (1985)
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Müller, S.C. (1988). Spatial Patterns in (Bio)Chemical Reactions. In: Markus, M., Müller, S.C., Nicolis, G. (eds) From Chemical to Biological Organization. Springer Series in Synergetics, vol 39. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-73688-9_10
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DOI: https://doi.org/10.1007/978-3-642-73688-9_10
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