Quasiperiodicity route to chaos in a biochemical system

Biophysical Journal

Volumn 71, Issue 5, 1996, Pages 2375-2379

  De La Fuente, I Martinez ^a   Martinez, L ^a   Veguillas, J ^a   Aguirregabiria, J M ^a  

^a UNIVERSITY OF THE BASQUE COUNTRY UPV EHU   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

MULTIENZYME COMPLEX;

AMPLITUDE MODULATION; ARTICLE; ENZYME ACTIVE SITE; ENZYME STABILITY; GLYCOLYSIS; MODEL; OSCILLATION;

EID: 0029965607     PISSN: 00063495     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0006-3495(96)79431-6     Document Type: Article

References (17)

1. Bartrons, R., E. Schaftingen, S. Vissers, and H. Hers. 1982. The stimulation of yeast phosphofructokinase by fructose 2,6-bisphosfate. FEBS Lett. 143:137-140.
2. De la Fuente. M. I., L. Martínez, and J. Veguillas. 1995. Dynamic behavior in glycolytic oscillations with phase shifts. Biosystems. 35:1-13.
3. De la Fuente, M. I., L. Martínez, and J. Veguillas. 1996. Intermittency route to chaos in a biochemical system. Biosystems. 39:87-92.
4. Dubois, M., P. Bergé, and V. Croquette. 1982. Study of the steady convective regimes using Poincaré sections. J. Phvsiol. (Paris) Lett. 43: L295.
5. Feigenbaum, M. J. 1978. Quantitative universality for a class of nonlinear transformations. J. Stat. Phys. 19:25-52.
6. Hess, B., D. Kuschmitz., and M. Markus. 1984. Dynamics of Biochemical Systems. J. Ricard and A, Cornish-Bowden, editors. Plenum Publishing, New York.
7. Hess, B., M. Markus, S. C. Müler, and T. Plesser. 1990. From homogeneity towards the anatomy of a chemical spiral. In Spatial Inhomogeneities and Transient Behavior in Chemical Kinetics, P. Gray, G. Nicolis, F. Baras, P. Borckmans, and S. K. Scott, editors. Manchester University Press, Manchester, England.
8. Hudson. J. L., J. C. Bell, and N. I. Jaeger. 1989. Potentiostatic current oscillations of cobalt electrodes in hydrochloric acid/chromic acid electrolytes. Ber. Bunsen-Ges. Phys. Chem. 92:1383-1387.
9. Markus, M., D. Kuschmitz, and B. Hess. 1984. Chaotic dynamics in yeast glycolysis under periodic substrate input flux. FEBS Lett. 172:235-238.
10. Markus, M., D. Kuschmitz, and B. Hess. 1985a. Properties of strange attractors in yeast glycolysis. Biophys. Chem. 22:95.
11. Markus, M., S. C. Müler, and B. Hess. 1985b. Observation of entrainment quasiperiodicity and chaos in glycolyzing yeast extracts under periodic glucose input. Ber. Bunsen-Ges. Phys. Chem. 89:651.
12. m, m > 3. Commun. Math. Phys. 64:35-44.
13. Pomeau, Y., and P. Manneville. 1979. Intrinsic Stochasticity in Plasmas. Ed. de Pysique, Orsay.
14. Richter, P. H., and J. Ross. 1980. Oscillations and efficiency in glycolysis. Biophys. Chem. 12:285.
15. Ruelle, D., and F. Takens. 1971. On the nature of turbulence. Commun. Math. Phys. 20:167-172.
16. Schuster, H. G. 1984. Deterministic Chaos. Physic-Verlag, Weinheim.
17. Scott, S. 1991. Chemical Chaos. Claredon Press, Oxford.