Abstract
An oscillation was observed in a computer simulation of a single first-order reaction in a membrane exhibiting both the chemodiffusional coupling and auto-catalysis.
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References
Nicolis, G., and Portnow, J., Chem. Rev. (in the press).
Degn, H., J. chem. Educ., 49, 302 (1972).
Hess, B., and Boiteux, A., A. Rev. Biochem., 40, 237 (1971).
Higgins, J., Ind. Engng Chem. Int. Edn., 59, 19 (1967).
Oscillatory Processes in Biological and Chemical Systems (Acad. Sci. USSR, Moscow) (Nauka, 1967).
Lotka, A. J., Z. phys. Chem., 72, 508 (1910).
Lotka, A. J., J. phys. Chem., 14, 271 (1910).
Lotka, A. J., J. Am. chem. Soc., 42, 1595 (1920).
Katchalsky, A., and Spangler, R., Q. Rev. Biophys., 1, 127 (1968).
Prigogine, I., Lefever, R., Goldbeter, A., and Herschkowitz-Kaufman, M., Nature, 223, 913 (1969).
Glansdorff, P., and Prigogine, I., Thermodynamic Theory of Structure, Stability and Fluctuations (Wiley-Interscience, London, 1971).
Prigogine, I., and Nicolis, G., Q. Rev. Biophys., 4, 107 (1971).
Nicolis, G., Adv. chem. Phys., 19, 209 (1971).
Hlaváček, V., Sinkule, J., and Kubíček, M., J. theor. Biol., 36, 283 (1972).
Belousov, B. P., Sb. ref. radiats. Med. 1958, 145 (Medgiz, Moscow, 1959).
Zhabotinski, A. M., Biofizika, 2, 306 (1964).
Zaikin, A. N., and Zhabotinski, A. M., Nature, 225, 535 (1970).
Hess, B., and Boiteux, A., in Regulatory Functions of Biological Membranes (edit. by Järnefelt, J.), B.B.A. Library, 11, 148 (Elsevier, Amsterdam, 1968).
DeSimone, J. A., Beil, D. L., and Scriven, L. E., Science N. Y., 180, 946 (1973).
Goldbeter, A., and Lefever, R., Biophys. J., 12, 1302 (1972).
Noyes, R. M., Field, R. J., and Körös, E., J. Am. chem. Soc., 94, 1394 (1972).
Goldman, R., Silman, H. I., Caplan, S. R., Kedem, O., and Katchalski, E., Science N. Y., 150, 758 (1965).
Goldman, R., Kedem, O., Silman, H. I., Caplan, S. R., and Katchalski, E., Biochemistry, 7, 486 (1968).
Goldman, R., Kedem, O., and Katchalski, E., Biochemistry, 7, 4518 (1968).
Whitaker, J. R., and Bender, M. L., J. Am. chem. Soc., 87, 2728 (1965).
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CAPLAN, S., NAPARSTEK, A. & ZABUSKY, N. Chemical Oscillations in a Membrane. Nature 245, 364–366 (1973). https://doi.org/10.1038/245364a0
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DOI: https://doi.org/10.1038/245364a0
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