Persistence in metabolic nets

Bulletin of Mathematical Biology

Volumn 61, Issue 3, 1999, Pages 573-595

  De La Fuente, I M ^a   Benitez, N ^b   Santamaria, A ^a   Aguirregabiria, J M ^a   Veguillas, J ^a  

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

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

GLYCOGEN;

ARTICLE; DYNAMICS; GLYCOGEN METABOLISM; LONG TERM MEMORY; MATHEMATICAL ANALYSIS; METABOLISM; REGULATORY MECHANISM; SIMULATION; SYSTEM ANALYSIS;

EID: 0032988797     PISSN: 00928240     EISSN: None     Source Type: Journal    
DOI: 10.1006/bulm.1999.0103     Document Type: Article

References (43)

1. Alkon L. D., Rasmussen H. A spatial-temporal model of cell activation. Nature. 239:1988;998-1004.
2. Anderson C. M., Mandell A. J., Selz K. A. The development of nuchal atonia associated with active (REM) sleep in fetal sheep: presence of recurrent fractal organization. Brain Res. 787:1988;351-357.
3. Barnes S. J., Weitzman D. J. P. Organization of citric acid cycle enzymes into a multienzyme cluster. FEBS Letts. 201:1986;267-270.
4. Bashir Z. I. Induction of LTP in the hippocampus needs. Nature. 363:1993;347-350.
5. De la Fuente M. I., Martínez L., Veguillas J. Dynamic behaviors in glycolytic oscillations with phase shifts. Biosystems. 35:1995;1-13.
6. De la Fuente M. I., Martínez L., Veguillas J. Intermittency route to chaos in a biochemical system. Biosystems. 39:1996a;87-92.
7. De la Fuente M. I., Martínez L., Veguillas J., Aguirregabiria J. M. Quasiperiodicity route to chaos in a biochemical system. Biophys. J. 71:1996b;2375-2379.
8. De la Fuente M. I., Martínez L., Benitez N., Veguillas J., Aguirregabiria J. M. Persistent behavior in a phase-shift sequence of periodical biochemical oscillations. Bull. Math. Biol. 60:1998;689-702.
9. Edmunds L. N. Cell Cycle Clocks. 1984;Marcel Dekker, New York.
10. Edmunds L. N. Cellular and Molecular Bases of Biological Clocks. Models and Mechanisms for Circadian Timekeeping. 1988;Springer Verlag, New York.
11. Eduarwds A. F. LTP - a structural model to explain the inconsistencies. TINS. 18:1995;250-255.
12. Feder J. Fractals. 1988;Plenum, New York.
13. Fell D. A. Understanding Metabolic Control. 1996;Portland Press, London.
14. Gammel, B. M. Feder, 1998, Hurst's Rescaled Range Statistical Analysis for Pseudorandom Number Generators used in Physical Simulations.
15. Goldbeter A., Lefever R. Dissipative structures for an allosteric model. Application to glycolytic oscillations. Biophys. J. 12:1972;1302-1315.
16. Goldbeter A. Rhythmes et Chaos dans les Systèmes Biochímiques et Cellulaires. 1990;Masson, Paris.
17. Greenberg S. M., Castellucci V. F., Hawkins R. D., Kandell E. R. A molecular mechanism for long-term sensitization in Aplysia. Nature. 329:1987;62-65.
18. Grill V. Time and dose dependencies for priming effect of glucose on insulin secretion. Am. J. Physiol. 240:1981;24-31.
19. Hess B., Boiteux A. Control of Glycolysis. Järnefelt J. Regulatory Functions of Bio-logical Membranes. 1968;Elsevier, Amsterdam.
20. Hess B., Kuschmitz D., Markus M. Richard J., Cornish-Bowden A. Dynamics of Biochemical Systems. 1984;Plenum, New York.
21. Hess, B., Markus M., Müler S. C., Plesser T. From homogeneity towards the anatomy of a chemical spiral. Gray P., Nicolis G., Baras F., Borckmans P., Scott S. K. Spatial Inhomogeneities and Transient Behavior in Chemical Kinetics. 1990;Manchester University Press, Manchester.
22. Hess B. Periodic patterns in biochemical reactions. Quart. Rev. Biophys. 30:1997;121-176.
23. Hurst H. E., Black R. P., Simaika Y. M. Long-Term Storage: An Experimental Study. 1965;Constable, London.
24. Kurganov B. I. The concept of biochemical organization. Trends Biochem. Sci. 18:1993;405-406.
25. Liubarev A. E., Kurganov B. I. Space-temporal structure of the cellular metabolism. Nauka. 108:1989;19-31.
26. Lynen J., Oesterhelt D., Schweiaer E., Willeke K. Cellular Compartmentization and Control of Fatty Acid Metabolism. 1968;Academic Press, London.
27. Mandelbrot B. B., Walis J. R. Noah, Joseph, and operational hydrology. Water Resour. Res. 4:1968;909-918.
28. Mandelbrot B. B., Walis J. R. Some long run properties of geophysical records. Water Resour. Res. 5:1969a;321-340.
29. Mandelbrot B. B., Walis J. R. Robustness of the rescaled range R/S in the measurement of noncyclic long run statistical dependence. Water Resour. Res. 5:1969b;967-988.
30. Markus M., Kuschmitz D., Hess B. Properties of strange attractors in yeast glycolysis. Biophys. Chem. 22:1985;95.
31. McMurry L., Hastings J. W. No desynchronization among four different circadian rhythms in the unicellular alga, Euglena gracilis. Science. 175:1972;1137-1139.
32. Mowbray J., Moses V. The tentative identification in Escherichia coli of a multienzyme complex with glycolytic activity. J. Biochem. 66:1976;25-36.
33. Neidhardt A. L., Huebner F., Erramilli A. Shaping and policing of fractal traffic. IEICE Trans. Commun. E81B. 5:1998;858-869.
34. Nicolis G., Prigogine I. Self-organization in nonequilibrium systems. From Dissipative Structures to Order Through Fluctuations. 1977;Wiley, New York.
35. Ovádi, J. 1995, J. Cell Architecture and Metabolic Channeling, New York, Springer Verlag.
36. Peters E. Chaos and Order in the Capital Markets. 1991;Wiley, New York.
37. Peters E. Chaos and Order in the Capital Markets: A New View of Cycles, Prices and Market Volatility. 1996;Wiley, New York.
38. Porpaczy Z., Sumegi B., Alkonyi I. Integration between NAD-dependent isocitrate dehydrogenase, α-ketoglutarate dehydrogenase complex, and NADH: ubiquinone oxidoreductase. J. Biol. Chem. 262:1987;9509-9514.
39. Rapp E. P. An atlas of cellular oscillations. J. Exp. Biol. 81:1979;281-306.
40. Rapp E. P. Why are so many biological systems periodic? Prog. Neurobiol. 29:1987;261-273.
41. Stadtman E. R., Chock P. B. From metabolite to metabolism to metabolon. Cellular Regulation. 1992;Academic Press, New York.
42. Voss R. F. Random fractal forgeries. Earnshaw R. A. Fundamental Algorithms in Computer Graphics. 1985;Springer-Verlag, Berlin.
43. Welch G. R., Berry M. N. Organized Multyenzyme Systems: Catalytic Properties. 1985;Academic PressWelch G.R.N.Y.