Minimal model for complex dynamics in cellular processes

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 60, Issue 5, 1999, Pages 5943-5949

  Suguna, C ^a   Chowdhury, Kanchan K ^a   Sinha, Somdatta ^a  

^a CENTRE FOR CELLULAR AND MOLECULAR BIOLOGY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

BIOCHEMISTRY; BIOLOGICAL MODEL; BIOPHYSICS; FEEDBACK SYSTEM; NONLINEAR SYSTEM; THERMODYNAMICS;

BIOCHEMICAL PHENOMENA; BIOCHEMISTRY; BIOPHYSICAL PHENOMENA; BIOPHYSICS; FEEDBACK; MODELS, BIOLOGICAL; NONLINEAR DYNAMICS; THERMODYNAMICS;

EID: 0033232227     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.60.5943     Document Type: Article

References (49)

1. A. Cornish-Bowden, Fundamentals of Enzyme Kinetics (Butterworths, London, 1979).
2. M. Ptashne, A Genetic Switch. Gene Control and Phage λ (Cell Press, Cambridge, MA, and Blackwell Scientific, Palo Alto, CA, 1986).
3. M. A. Savageau, Biochemical Systems Analysis. A Study of Function and Design in Molecular Biology (Addison-Wesley, Reading, MA, 1976).
4. J. J. Tyson and H. G. Othmer, Prog. Theor. Biol. 5, 1 (1978).
5. D. E. Koshland, Jr., A. Goldbeter, and J. B. Stock, Science 217, 220 (1982).
6. J. E. Lisman and J. R. Fallon, Science 283, 339 (1999).
7. L. Glass and M. C. Mackey, From Clocks to Chaos. The Rhythms of Life (Princeton University Press, Princeton, NJ, 1988).
8. A. T. Winfree, The Geometry of Biological Time, Biomathematics Vol. 8 (Springer-Verlag, New York, 1980).
9. A. Goldbeter, Biochemical Oscillations and Cellular Rhythms (Cambridge University Press, Cambridge, UK, 1996).
10. A. K. Ghosh and B. Chance, Biochem. Biophys. Res. Commun. 16, 174 (1964).
11. M. Markus, D. Kuschmitz, and B. Hess, FEBS Lett. 172, 235 (1984).
12. K. Nielsen, P. G. Sorensen, F. Hynne, and H.-G. Busse, Biophys. Chem. 72, 49 (1998).
13. T. Hauck and F. W. Schneider, J. Phys. Chem. 97, 391 (1993).
14. A. C. Moller, M. J. B. Hauser, and L. F. Olsen, Biophys. Chem. 72, 63 (1998).
15. S. Nakamura, K. Yokota, and I. Yamazaki, Nature (London) 222, 794 (1969).
16. L. F. Olsen and H. Degn, Nature (London) 267, 177 (1977).
17. M. S. Samples, Y.-F. Hung, and J. Ross, J. Phys. Chem. 96, 7338 (1992).
18. K. R. Valeur and L. F. Olsen, Biochim. Biophys. Acta 1289, 377 (1996).
19. I. Yamazaki and K. Yokota, Mol. Cell. Biochem. 2, 39 (1973).
20. G. Gerisch and B. Hess, Proc. Natl. Acad. Sci. USA 71, 2118 (1974).
21. H.-F. Chou, N. Berman, and E. Ipp, Am. J. Physiol. 262, E800 (1992).
22. B. A. Cunningham, J. T. Deeney, C. R. Bliss, B. E. Corkey, and K. Tornheim, Am. J. Physiol. 271, E702 (1996).
23. U. S. Bhalla and R. Iyengar, Science 283, 381 (1999).
24. M. J. Berridge, P. H. Cobbold, and K. S. R. Cutbertson, Philos. Trans. R. Soc. London, Ser. B 320, 325 (1988).
25. C. C. Canavier, D. A. Baxter, J. W. Clark, and J. H. Byrne, J. Neurophysiol. 69, 2252 (1993).
26. J. Hounsgaard, H. Hultborn, B. Jesperson, and O. Kiehn, J. Physiol. (London) 405, 345 (1988).
27. A. Malgaroli and J. Meldolesi, FEBS Lett. 283, 169 (1991).
28. G. Dupont and A. Goldbeter, BioEssays 20, 607 (1998).
29. H. Cheng, W. J. Lederer, and M. B. Cannel, Nature (London) 262, 740 (1993).
30. M. J. Berridge, M. D. Bootman, and P. Lipp, Nature (London) 395, 645 (1998).
31. L. A. Segel, Mathematical Models in Molecular and Cellular Biology (Cambridge University Press, Cambridge, UK, 1980).
32. J. Monod, J. Wyman, and J. P. Changeaux, J. Mol. Biol. 12, 88 (1965).
33. A. Goldbeter and G. Nicolis, Prog. Theor. Biol. 4, 65 (1976).
34. B. C. Goodwin, Analytical Physiology of Cell and Developing Organisms (Academic Press, London, 1976).
35. S. Sinha and R. Ramaswamy, BioSystems 20, 341 (1987).
36. J. J. Tyson, J. Theor. Biol. 103, 313 (1983).
37. B.-L. Hao and S. Zhang, J. Stat. Phys. 28, 769 (1982).
38. D. R. Moore, J. Toomre, E. Knobloch, and N. O. Weiss, Nature (London) 303, 663 (1983).
39. O. Decroly and A. Goldbeter, J. Theor. Biol. 113, 649 (1985).
40. J. D. Farmer, E. Ott, and J. A. Yorke, Physica D 7, 153 (1983).
41. R. C. Hilborn, Chaos and Nonlinear Dynamics (Oxford University Press, Oxford, UK, 1994).
42. P. S. Addison, Fractals and Chaos. An Illustrated Course (Institute of Physics Publishing, Bristol, UK, 1997).
43. P. Grassberger and I. Procacia, Phys. Rev. Lett. 50, 346 (1983).
44. J. C. Roux, R. H. Simoyi, and H. L. Swinney, Physica D 8, 257 (1983).
45. M. B. Cannel and C. Soeller, Trends Pharmacol. Sci. 19, 16 (1998).
46. H. H. McAdams and A. Arkin, Trends Genet. 15, 65 (1999).
47. V. K. Sharma and M. K. Chandrasekaran, J. Exp. Zool. 280, 321 (1998).
48. S. Parthasarathy and S. Sinha, Phys. Rev. E 51, 6239 (1995).
49. N. Parekh, S. Parthasarathy, and S. Sinha, Phys. Rev. Lett. 81, 1401 (1998).