Sensitivity analysis of HIV infection response to treatment

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2006, Pages 2069-2075

  Khalili, Samira ^b   Armaou, Antonios ^a,b  

^a IEEE

^b The Pennsylvania State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; PROBABILITY DISTRIBUTIONS; RANDOM PROCESSES; SENSITIVITY ANALYSIS; STOCHASTIC MODELS; VIRUSES;

GILLESPIE ALGORITHM; TREATMENT STRATEGIES; VIRUS GENOME;

PATIENT TREATMENT;

EID: 39649114605     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/cdc.2006.377635     Document Type: Conference Paper

References (22)

1. A. S. Perelson and P. W. Nelson, "Mathematical analysis of HIV-1 dynamics in vivo," SIAM review, vol. 41, no. 1, pp. 3-44, 1999.
2. B. Reddy and J. Yin, "Quantitative intracellular kinetics of HIV type 1," AIDS Res. Hum. Ret., vol. 15, pp. 273-283, 1999.
3. E. L. Haseltine, J. B. Rawlings, and J. Yin, "Dynamics of viral infections: incorporating both the intracellular and extracellular levels," Comp. & Chem. Eng., vol. 29, pp. 675-686, 2004.
4. D. Kirschner, S. Lenhart, and S. Serbin, "Optimal control of the chemotherapy of HIV," J. Math. Biol., vol. 35, pp. 775-792, 1997.
5. R. Zurakowski and A. R. Teel, "A model predictive control based scheduling method for HIV therapy," J. Theor. Biol., vol. 238, pp. 368-382, 2006.
6. S. J. Snedecor, "Comparison of three kinetic models of HIV-1 infection: Implications for optimization of treatment," J. Theor. Biol., vol. 221, pp. 519-541, 2003.
7. M. Joly and J. M. Pinto, "Role of mathematical modeling on the optimal control of HIV-1 pathogenesis.," AICHE, pp. 856-884, 2006.
8. I. G. Kevrekidis, C. W. Gear, J. M. Hyman, P. G. Kevrekidis, O. Runborg, and K. Theodoropoulos, "Equation-free multiscale computation: enabling microscopic simulators to perform system-level tasks," Comm. Math. Sciences, vol. 1, pp. 715-762, 2003.
9. C. I. Siettos, A. Armaou, A. G. Makeev, and I. G. Kevrekidis, "Microscopic/stochastic timesteppers and coarse control: a kinetic Monte Carlo example," AIChE J., vol. 49, pp. 1922-1926, 2003.
10. G. Stephanopoulos, M. Dyer, and O. Karsligil, "Multiscale modeling, estimation and control of processing systems.," Comp. Chem. Eng., vol. 21, pp. s797-s803, 1997.
11. S. Raimondeau and D. G. Vlachos, "Recent developments on multiscale, hierarchical modeling of chemical reactors," Chem. Eng. J., vol. 90, pp. 3-23, 2002.
12. A. Samant and D. G. Vlachos, "Overcoming stiffness in stochastic simulation stemmimg from partial equilibrium: A multiscale monte carlo algorithm," J. Chem. Phys., vol. 123, pp. 2797-2799, 2005.
13. H. Salis and Y. Kaznessis, "Accurate hybrid stochastic simulation of a system of coupled chemical or biochemical reactions.," J. Chem. Phys., vol. 122, pp. 054103,1-054103,13, 2005.
14. H. C. Tuckwell and E. Le Corfec, "A stochastic model for early HIV-1 population dynamics," J. Theor. Biol., vol. 195, pp. 451-463, 1998.
15. S. J. Merrill, "The stochastic dance of early HIV infection," J. Comp. Appl. Math., pp. 242-257, 2005.
16. C. V. Rao and A. P. Arkin, "Stochastic chemical kinetics and the quasi steady state assumption: application to the Gillespie algorithm," J. Chem. Phys., vol. 118, no. 11, pp. 4999-5010, 2003.
17. D. T. Gillespie, "A general method for numerically simulating the stochastic time evolution of coupled chemical reactions," J. Comp. Phys., vol. 22, pp. 403-434, 1976.
18. R. Srivastava, L. You, J. Summers, and J. Yin, "Stochastic vs. deterministic modeling of intracellular viral kinetics," J. Theor. Biol., vol. 218, pp. 309-321, 2002.
19. S. Lister, "Secert of the morning-after pill that gives protection against HIV.," Times On Line, April 21st 2005.
20. N. M. Dixit, M. Markowitz, D. D. Ho, and A. S. Perelson, "Estimates of intracellular delay and average and drug efficacy from virla load data of HIV-infected individuals under antiretroviral therapy," Antiviral Therapy, vol. 9, pp. 237-246, 2004.
21. J. M. Coffin, S. H. Hughes, and H. E. Varmus, Retroviruses, Cold Spring Harbor Laboratory Press, 1997.
22. D. T. Gillespie and L. R. Petzold, "Improved leap-size selection for accelerated stochastic simulation," J. Chem. Phys., vol. 119, no. 16, pp. 8229-8234, 2003.