Uncovering oscillations, complexity, and chaos in chemical kinetics using mathematica

Journal of Chemical Education

Volumn 76, Issue 6, 1999, Pages 861-866

  Ferreira, M M C ^a   Ferreira Jr , W C ^a   Lino, A C S ^a   Porto, M E G ^a  

^a UNIVERSITY OF CAMPINAS   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000201272     PISSN: 00219584     EISSN: None     Source Type: Journal    
DOI: 10.1021/ed076p861     Document Type: Article

References (16)

1. See, for example, J. Chem. Educ. 1989, 63(3), especially the review by Field and Schneider on p 195.
2. Strogatz, S. H. Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry and Engineering, Addison-Wesley: Reading, MA, 1994.
3. Melka, R. F.; Olsen, G.; Beavers, L.; Draeger, J. A. J. Chem. Educ. 1992, 69, 596-598.
4. Weltin, E. J. Chem. Educ. 1995, 72, 36-38.
5. Tagg, S. L.; LeMaster, C. L.; LeMaster, C. B.; McQuarrie, D. A. J. Chem. Educ. 1994, 71, 363-374.
6. Scott S. K. Chemical Chaos; Clarendon: Oxford, 1994.
7. Gray, P.; Scott, S. K. Chemical Oscillations and Instabilities: Non-Linear Chemical Kinetics; Clarendon: Oxford, 1994.
8. Segel, L. A. Modeling Dynamic Phenomena in Molecular and Cellular Biology; Cambridge University Press: Cambridge, 1984.
9. Mathematica; Wolfram Research Inc.: Champaign, IL, 1993.
10. Bracewell, R. The Fourier Transform and its Applications; McGraw-Hill: New York, 1978.
11. Hamming, R. Digital Filters; Prentice-Hall: Englewood Cliffs, NJ, 1983.
12. Glass, L.; Mackey, M. C. From Clocks to Chaos. The Rhythms of Life; Princeton University Press: Princeton, NJ, 1988.
13. Goldbeter, A. Biochemical Oscillations and Cellular Rhythms: The Molecular Basis of Periodic and Chaotic Behavior; Cambridge University Press: Cambridge, 1995.
14. Decroly, O.; Goldbeter A. Phys. Lett. 1984, 105A(4), 259-262.
15. Decroly, O.; Goldbeter, A. Proc. Natl. Acad. Sci. USA 1982, 79, 6917-6921.
16. Monod, J.; Wyman, J.; Changeux, J. P. J. Mol. Biol. 1965, 12, 88-118.