Simple and complex spatiotemporal structures in a glycolytic allosteric enzyme model

Biophysical Chemistry

Volumn 125, Issue 1, 2007, Pages 112-116

  Zhang, Lu ^a   Gao, Qingyu ^a   Wang, Qun ^a   Zhang, Xing ^a  

^a CHINA UNIVERSITY OF MINING AND TECHNOLOGY   (China)

Author keywords

Glycolysis; Pattern formation; Spatiotemporal chaos

Indexed keywords

ARTICLE; CHEMICAL REACTION; CHEMICAL STRUCTURE; DIFFUSION; GLYCOLYSIS; MATHEMATICAL MODEL; OSCILLATION; PRIORITY JOURNAL; SIMULATION; STEADY STATE;

ADENOSINE DIPHOSPHATE; ALLOSTERIC REGULATION; ENZYMES; GLYCOLYSIS; KINETICS; MODELS, BIOLOGICAL; NONLINEAR DYNAMICS; PHOSPHOFRUCTOKINASE-1;

EID: 33750700769     PISSN: 03014622     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.bpc.2006.07.004     Document Type: Article

References (29)

1. Chance B., Hess B., and Betz A. DPNH oscillation in a cell-free extract of S. carlshergensis. Biochem. Biophys. Res. Commun. 16 (1964) 182-187
2. Hess B., and Brand K. Continuous oscillations in a cell-free extract of S. carlsbergensis. Biochem. Biophys. Res. Commun. 23 (1966) 102-108
3. Boiteux A., Goldbeter A., and Hess B. Control of oscillating glycolysis of yeast by stochastic, periodic and steady source of substrate: a model and experimental study. Proc. Natl. Acad. Sci. U. S. A. 72 (1975) 3829-3833
4. Markus M., Kuschmitz D., and Hess B. Chaotic dynamics in yeast glycolysis under periodic substrate input flux. FEBS Lett. 172 (1984) 235-238
5. Markus M., Muller S.C., and Hess B. Observation of entrainment, quasiperiodicity and chaos in glycolyzing yeast extracts under periodic glucose input. Ber. Bunsenges. Phys. Chem. 89 (1985) 651-654
6. Nielsen K., Sorensen P.G., and Hynne F. Chaos in glycolysis. J. Theor. Biol. 186 (1997) 303-306
7. Nielsen K., Sorensen P.G., Hynne F., and Busse H.-G. Sustained oscillations in glycolysis: an experimental and theoretical study of chaotic and complex periodic behavior and of quenching of simple oscillations. Biophys. Chemist. 72 (1998) 49-62
8. Dano S., Sorensen P.G., and Hynne F. Sustained oscillations in living cells. Nature 402 (1999) 320-322
9. Ibsen K.H., and Schiller K.W. Oscillations of nucleotides and glycolytic intermediates in aerobic suspensions of Ehrlich ascites tumor cells. Biochim. Biophys. Acta 131 (1967) 405-407
10. Frenkel R. Control of reduced diphosphopyridine nucleotide oscillations in beef heart extracts: I. Effect of modifiers of phosphofructokinase activity. Arch. Biochem. Biophys. 125 (1968) 151-156
11. Tornheim K., and Lowenstein J.M. The purine nucleotide cycle: V. Control of phosphofructokinase and glycolytic oscillations in muscle extracts. J. Biol. Chem. 250 (1975) 6304-6314
12. Frenzel J., Schellenberger W., and Eschrich K. Bistability and damped oscillations in the fructose 6-phosphate/fructose 1,6-bisphosphate cycle in cell-free extracts from rat liver. Biol. Chem. Hoppe-Seyler 376 (1995) 17-24
13. Collatz K.G., and Horning M. Age dependent changes of a biochemical rhythm-the glycolytic oscillator of the blowfly Phormia terraenovae. Comp. Biochem. Physiol. 96B (1990) 771-774
14. Chou H.-F., Berman N., and Ipp E. Oscillations of lactate released from islets of Langerhans: evidence for oscillatory glycolysis in beta-cells. Am. J. Physiol. 262 (1992) E800-E805
15. O'Rourke B., Ramza B.M., and Marban E. Oscillations of membrane current and excitability driven by metabolic oscillations in heart cells. Science 265 (1994) 962-966
16. Eschrich K., Schellenberger W., and Hofmann E. Sustained oscillations in a reconstituted enzyme system containing phosphofructokinase and fruotose 1,6-bisphosphatase. Arch. Biochem. Biophys. 222 (1983) 657-660
17. Petty H.R., Worth R.G., and Kindzelskii A.L. Imaging sustained dissipative patterns in the metabolism of individual living cells. Phys. Rev. Lett. 84 (2000) 2754-2757
18. Mair T., and Muller S.C. Traveling NADH and proton waves during oscillatory glycolysis in vitro. J. Biol. Chem. 271 (1996) 627-630
19. Muller S.C., Mair T., and Steinbock O. Traveling waves in yeast extract and in cultures of Dictyostelium discoideum. Biophys. Chemist. 72 (1998) 37-47
20. Mair T., Warnke C., and Muller S.C. Spatio-temporal dynamics in glycolysis. Faraday Discuss. 120 (2001) 249-259
21. Bagyan S., Mair T., Dulos E., Boissonade J., Kepper P.D., and Muller S.C. Glycolytic oscillations and waves in an open spatial reactor: impact of feedback regulation of phosphofructokinase. Biophys. Chemist. 116 (2005) 67-76
22. Shinjyo T., Nakagawa Y., and Ueda T. Hierarchic spatio-temporal dynamics in glycolysis. Physica, D 84 (1995) 212-219
23. Goldbeter A. Patterns of spatiotemporal organization in an allosteric enzyme model. Proc. Natl. Acad. Sci. U.S.A. 70 (1973) 3255-3259
24. Marmillot P., Hervagault J.-F., and Welch G.R. Patterns of spatiotemporal organization in an "ambiquitous" enzyme model. Proc. Natl. Acad. Sci. U.S.A. 89 (1992) 12103-12107
25. Baier G., Muller M., and Orsnes H. Excitable spatio-temporal chaos in a model of glycolysis. J. Phys. Chem., B 106 (2002) 3275-3282
26. Goldbeter A., and Lefever R. Dissipative structures for an allosteric model. Application to glycolytic oscillations. Biophys. J. 12 (1972) 1302-1315
27. Bentil D.E., and Murray J.D. On the mechanical theory of biological pattern formation. Physica, D 63 (1992) 161-190
28. Meinhardt H. Growth and patterning-dynamics of stripe formation. Nature 376 (1995) 722-723
29. Harris M.P., Williamson S., Fallon J.F., Meinhardt H., and Prum O. Molecular evidence for an activator-inhibitor mechanism in development of embryonic feather branching. Proc. Natl. Acad. Sci. U.S.A. 102 (2005) 11734-11739