Model discrimination using data collaboration

Journal of Physical Chemistry A

Volumn 110, Issue 21, 2006, Pages 6803-6813

  Feeley, Ryan ^a   Frenklach, Michael ^a   Onsum, Matt ^a   Russi, Trent ^a   Arkin, Adam ^b,c   Packard, Andrew ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b University of California at Berkeley   (United States)

^c LAWRENCE BERKELEY NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BIOLOGICAL SIGNALING NETWORK; CONVERGENT ALGORITHMS; KINETIC REACTION; METHANE COMBUSTION;

ALGORITHMS; COMBUSTION; MATHEMATICAL MODELS; METHANE;

REACTION KINETICS;

METHANE;

ALGORITHM; ARTICLE; BIOLOGICAL MODEL; BIOLOGY; CHEMISTRY; COMPUTER SIMULATION; INCINERATION; KINETICS; METHODOLOGY; STATISTICAL ANALYSIS; STATISTICAL MODEL; UNCERTAINTY;

ALGORITHMS; COMPUTATIONAL BIOLOGY; COMPUTER SIMULATION; DATA INTERPRETATION, STATISTICAL; INCINERATION; KINETICS; METHANE; MODELS, BIOLOGICAL; MODELS, STATISTICAL; UNCERTAINTY;

EID: 33745447162     PISSN: 10895639     EISSN: None     Source Type: Journal    
DOI: 10.1021/jp056309s     Document Type: Article

References (34)

1. Golden, D. M.; Manion, J. A. Adv. Chem. Kinet. Dyn. 1992, 1, 187-274.
2. Bard, Y. Nonlinear Parameter Estimation; Academic Press: Orlando, PL, 1974.
3. Akaike, H. IEEE Trans. Automat. Control 1974, 19, 716-723.
4. Gelman, A.; Carlin, J. B.; Stern, H. S.; Rubin, D. B. Bayesian Data Analysis; Chapman and Hall: London, 2003
5. Frenklach, M.; Packard, A.; Seiler, P. In Proceedings of the American Control Conference; IEEE: New York, 2002; pp 4135-4140.
6. Frenklach, M.; Packard, A.; Seiler, P.; Feeley, R. Int. J. Chem. Kinet. 2004, 36, 57-66.
7. Feeley, R.; Seiler, P.; Packard, A.; Frenklach, M. J. Phys. Chem. A 2004, 108, 9573-9583.
8. Burnham, K. P.; Anderson, D. R. Model Selection and Multimodel Inference; Springer: New York, 2002.
9. MacKay, D. J. C. Information Theory, Inference, and Learning Algorithms; Cambridge University: New York, 2003.
10. Horst, R.; Pardalos, P. M.; Thoai, N. V. Introduction to Global Optimization; Kluwer Academic: New York, 2000.
11. Sahni, S. SIAM J. Comput. 1974, 3, 262-279.
12. Papadimitriou, C. H. Computational Complexity; Addison-Wesley: Reading, MA, 1994.
13. Frenklach, M. Modeling. Chapter 7 In Combustion Chemistry; Gardiner, J., Ed.; Springer-Verlag: New York, 1984.
14. Box, G. E. P.; Hunter, W. G.; Hunter, J. S. Statistics for Experimenters. An Introduction to Design, Data Analysis, and Model Building; Wiley: New York, 1978.
15. Box, G. E. P.; Draper, N. R. Empirical Model-Building and Response Surfaces; Wiley: New York, 1987.
16. Myers, R. H.; Montgomery, D. C. Response Surface Methodology: Process and Product in Optimization Using Designed Experiments; Wiley Series in Probability and Statistics; John Wiley & Sons: New York, 2002.
17. Seiler, P.; Frenklach, M.; Packard, A.; Feeley, R. Eng. Optim. in press.
18. Lawler, E.; Wood, D. Operations Res. 1966, 14, 699-719.
19. Tonse, S. R.; Moriarty, N. W.; Brown, N. J.; Frenklach, M. Isr. J. Chem. 1999, 39, 97-106.
20. Conn, A. R.; Gould, N. I. M.; Toint, P. L. Trust-Region Methods; SIAM and MPS: Philadelphia, PA, 2000.
21. Elster, C.; Neumaier, A. Computing 1997, 58, 31-46.
22. Prajna, S. Proceedings of 42nd IEEE Conference on Decision and Control; IEEE: New York, 2003; pp 2884-2888.
23. Smith, G. P.; Golden, D. M.; Frenklach, M.; Moriarty, N. W.; Eiteneer, B.; Goldenberg, M.; Bowman, C. T.; Hanson, R. K.; Song, S.; W. C. Gardiner, J.; Lissianski, V. V.; Qin, Z. GRI-Mech 3.0. http:// www.me.berkeley.edu/gr_mech/.
24. Taussig, R.; Ranganathan, R.; Ross, E. M.; Gilman, A. G. Nature (London) 2002, 420, 703-706.
25. Berridge, M. J.; Lipp, P.; Bootman, M. D. Nature Rev. Mol. Cell. Biol. 2000, 1, 11-21.
26. Alliance for Cellular Signaling, http://www.signaling-gateway.org.
27. Wiesner, T. F.; Berk, B. C.; Nerem, R. M. Am. J. Physiol. 1996, 270, C1556-C1569.
28. Lemon, G.; Gibson, W.; Bennett, M. J. Theor. Biol. 2003, 225, 93-111.
29. Balakrishnan, V.; Boyd, S.; Balemi, S. Int. J. Robust Nonlin. Control. 1991, 295-317.
30. Boyd, S.; El Ghaoui, L.; Feron, E.; Balakrishnan, V. Linear Matrix Inequalities in System and Control Theory; Studies in Applied Mathematics 15; SIAM: Philadelphia, PA, 1994.
31. Boyd, S.; Vandenberghe, L. Convex Optimization; Cambridge University: New York, 2004.
32. Prajna, S.; Papachristodoulou, A.; Seiler, P.; Parrilo, P. A. SOS-TOOLS: Sum of squares optimization toolbox for MATLAB, 2004.
33. Henrion, D.; Lasserre, J. B. ACM Transact. Math. Software 2003, 29, 165-194.
34. Parrilo, P. A. Math. Programming Ser. B 2003, 96, 293-320.