A new approximate method for the stochastic simulation of chemical systems: The representative reaction approach

Journal of Computational Chemistry

Volumn 33, Issue 3, 2012, Pages 276-285

  Kadam, Shantanu ^a   Vanka, Kumar ^a  

^a NATIONAL CHEMICAL LABORATORY   (India)

Author keywords

approximate algorithm; stochastic simulations

Indexed keywords

APPROXIMATE ALGORITHMS; APPROXIMATE METHODS; CHEMICAL SYSTEMS; STOCHASTIC SIMULATION ALGORITHMS; STOCHASTIC SIMULATIONS;

ALGORITHMS; APPROXIMATION THEORY; PROBABILITY DISTRIBUTIONS; STOCHASTIC MODELS; STOCHASTIC SYSTEMS;

COMPUTATIONAL EFFICIENCY;

EID: 83855165123     PISSN: 01928651     EISSN: 1096987X     Source Type: Journal    
DOI: 10.1002/jcc.21971     Document Type: Article

References (28)

1. D. A. McQuarrie, J Appl Probab 1967, 4, 413.
2. D. T. Gillespie, Physica A 1992, 188, 404.
3. T. C. Gard, Introduction to Stochastic Differential Equations; Marcel Dekker: New York, 1988.
4. J. L. Doob, Trans Amer Math Soc 1945, 58, 455.
5. J. L. Doob, Trans Amer Math Soc 1942, 52, 37.
6. D. T. Gillespie, J Comput Phys 1976, 22, 403.
7. D. T. Gillespie, J Phys Chem 1977, 81, 2340.
8. A. B. Bortz, M. H. Kalos, J. L. Lebowitz, J Comput Phys 1975, 17, 10.
9. D. Gonze, J. Halloy, A. Goldbeter, Proc Natl Acad Sci USA 2002, 99, 673.
10. A. Arkin, J. Ross, H. H. McAdams, Genetics 1998, 149, 1633.
11. D. Endy, R. Brent, Nature(London) 2001, 409, 391.
12. J. Hasty, D. McMillen, J. J. Collins, Nature 2002, 420, 224.
13. D. T. Gillespie, J Chem Phys 2001, 115, 1716.
14. M. Rathinam, L. R. Petzold, Y. Cao, D. T. Gillespie, J Chem Phys 2003, 119, 12784.
15. K. Burrage, T. Tian, Advances in Scientific Computings and Applications;, Y. Lu, W. Sun, T. Tang, Eds.; Science Press: Beijing/New York, 2004.
16. M. F. Pettigrew, H. Resat, J Chem Phys 2007, 126, 084101.
17. Y. Cao, D. T. Gillespie, L. R. Petzold, J Chem Phys 2006, 124, 044109.
18. A. Chatterjee, D. G. Vlachos, M. A. Katsoulakis, J Chem Phys 2005, 122, 024112.
19. T. Tian, K. Burrage, J Chem Phys 2004, 121, 10356.
20. J. He, H. Zhang, J. Chen, Y. Yang, Macromolecules 1997, 30, 8010.
21. M. A. Gibson, J. Bruck, J Phys Chem A 2000, 104, 1876.
22. C. V. Rao, A. P. Arkin, J Chem Phys 2003, 118, 4999.
23. E. L. Haseltine, J. B. Rawlings, J Chem Phys 2002, 117, 6959.
24. D. T. Gillespie, L. R. Petzold, J Chem Phys 2003, 119, 8229.
25. M. F. Pettigrew, H. Resat, J Chem Phys 2005, 123, 114707.
26. Y. Cao, D. Gillespie, L. Petzold, J Comput Phys 2005, 206, 395.
27. D. T. Gillespie, J Chem Phys 2000, 113, 297.
28. W. H. Press, B. F. S. Teukolsky, and, W. Vetterling, Numerical Recipes: The Art of Scientific Computing; Cambridge University Press: Cambridge, 1986.