Chaos in glycolysis

Journal of Theoretical Biology

Volumn 186, Issue 3, 1997, Pages 303-306

  Nielsen, Keld ^a   SØrensen, Preben Graae ^a   Hynne, Finn ^a  

^a UNIVERSITY OF COPENHAGEN   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CELL FREE SYSTEM; GLYCOLYSIS; KINETICS; NONHUMAN; OSCILLATION; PRIORITY JOURNAL; YEAST;

EID: 0031558025     PISSN: 00225193     EISSN: None     Source Type: Journal    
DOI: 10.1006/jtbi.1996.0366     Document Type: Article

References (24)

1. 1. CHANCE, B., PYE, E. G., GHOSH, A. K. & HESS, B. (1973). Biological and Biochemical Oscillators. New York: Academic Press.
2. 2. DAS, J. & BUSSE, H.-G. (1985). Long term oscillation in glycolysis. J. Biochem. 97, 719-727.
3. 3. DECROLY, O. & GOLDBETER, A. (1982). Biorhythmicity, chaos and other patterns of temporal self-organization in a multiply regulated biochemical system. Proc. Natl. Acad. Sci. U.S.A. 79, 6917-6921.
4. 4. EHLERT-OELKERS, R. (1995). Simultane photometrische und massenpektrometrische Untersuchungen an glykolytischen Oszillationen zellfreier Hefeextrakte. Dissertation. Kiel: Christian-Albrechts-Universität.
5. 5. FIELD, R. J. & GYÖRGYI, L. (1993). eds. Chaos in Chemistry and Biochemistry. Singapore: World Scientific.
6. 6. GEEST, T., STEINMETZ, C. G., LARTER, R. & OLSEN, L. F. (1992). Period-doubling bifurcations and chaos in an enzyme reaction. J. Phys. Chem. 96, 5678-5680.
7. 7. GOLDBETER, A. (1993). From Periodic Behaviour to Chaos in Biochemical Systems In. Chaos in Chemistry and Biochemistry. (Field, R. J.; Györgyi, L., eds). Singapore: World Scientific.
8. 8. HAUCK, T. & SCHNEIDER, F. W. (1994). Chaos in a Farey sequence through period doubling in the peroxidase-oxidase reaction. J. Phys. Chem. 98, 2072-2077.
9. 9. HESS, B. & BOITEUX, A. (1968). Mechanism of glycolytic oscillation in yeast, I. Hoppe-Seyler's Z. Physiol. Chem. 349, 1567-1574.
10. 10. HESS, B. & BOITEUX, A. (1971). Oscillatory phenomena in biochemistry. Ann. Rev. Biochem. 40, 237-258.
11. 11. HYNNE, F., SØRENSEN, P. G. & MØLLER, T. (1993a). Current and Eigenvector analyses of chemical reaction networks at Hopf bifurcations. J. Chem. Phys 98, 211-218.
12. 12. HYNNE, F., SØRENSEN, P. G. & MØLLER, T. (1993b). Complete optimization of models of the Belousov-Zhabotinsky reaction at a Hopf bifurcation. J. Chem. Phys 98, 219-230.
13. 13. HYNNE, F., SØRENSEN, P. G. & NIELSEN, K. (1990). Quenching of chemical oscillations: general theory. J. Chem. Phys 92, 1747-1757.
14. 14. LARTER, R., OLSEN, L. F., STEINMETZ, C. G. & GEEST, T. (1993). Chaos in Biochemical Systems: The Peroxidase Reaction as a Case Study. In (Field, R. J. & Györgyi, L., eds). Chaos in Chemistry and Biochemistry. Singapore: World Scientific.
15. 15. MAREK, M. & SCHREIBER, I. (1991). Chaotic Behaviour of Deterministic Dissipative Systems. Cambridge: Cambridge University Press.
16. 16. MARKUS, M., KUSCHMITZ, D. & HESS, B. (1984). Chaotic dynamics in yeast glycolysis under periodic substrate input flux. FEBS Lett. 172, 235-238.
17. 17. MARKUS, M., KUSCHMITZ, D. & HESS, B. (1985a). Properties of strange attractors in yeast glycolysis. Biophys. Chem. 22, 95-105.
18. 18. MARKUS, M., MÜLLER, S. C. & HESS, B. (1985b). Observation of entrainment, quasiperiodicity and chaos in glycolyzing yeast extracts under periodic glucose input. Ber. Bunsenges. Phys. Chem. 89, 651-654.
19. 19. OLSEN, L. F. & DEGN, H. (1977). Chaos in an enzyme reaction. Nature 267, 177-178.
20. 20. SANO, M. & SAWADA, Y. (1985). Measurement of the Lyapunov spectrum from a chaotic time series. Phys. Rev. Lett. 55, 1082-1085.
21. 21. SCOTT, S. K. (1991). Chemical Chaos. Oxford: Clarendon Press.
22. 22. SØRENSEN, P. G. & HYNNE, F. (1989). Amplitudes and phases of small-amplitude Belousov-Zhabotinskii oscillations derived from quenching experiments. J. Phys. Chem. 93, 5467-5474.
23. 23. WANG, J., SØRENSEN, P. G. & HYNNE, F. (1994). Transient period doublings, torus oscillations, and chaos in a closed chemical system. J. Phys. Chem. 98, 725-727.
24. 24. WANG, J., SØRENSEN, P. G. & HYNNE, F. (1995). Transient complex oscillations in a closed Belousov-Zhabotinsky reaction: experimental and compulational studies. Z. Phys. Chem. 192, 63-76.