Control of the HIV infection and drug dosage

Biomedical Signal Processing and Control

Volumn 5, Issue 1, 2010, Pages 45-52

  Mhawej, Marie José ^a   Moog, Claude H ^a   Biafore, Federico ^b,c   Brunet François, Cécile ^d,e  

^a ECOLE CENTRALE DE NANTES   (France)

^b UNIVERSIDAD NACIONAL DE SAN MARTÍN   (Argentina)

^c FAVALORO UNIVERSITY   (Argentina)

^d NANTES UNIVERSITY HOSPITAL   (France)

^e UNIVERSITÉ DE NANTES   (France)

Author keywords

Control inputs; HIV; Nonlinear systems; Parameter identification; Pharmacodynamics; Pharmacokinetics

Indexed keywords

DRUG DOSAGE; IDENTIFICATION (CONTROL SYSTEMS); NONLINEAR SYSTEMS; PHARMACODYNAMICS; PHARMACOKINETICS;

ANTIRETROVIRAL DRUGS; CONTROL INPUTS; ENGINEERING METHODS; EQUILIBRIUM STATE; IMMUNOLOGICAL SYSTEM; PHARMACODYNAMICS MODELS; PHARMACOKINETICS AND PHARMACODYNAMICS; SINGLE-INPUT SYSTEMS;

CONTROLLED DRUG DELIVERY;

ZIDOVUDINE;

ALGORITHM; ANTIVIRAL ACTIVITY; ARTICLE; DOSAGE SCHEDULE COMPARISON; DOSE CALCULATION; DRUG ELIMINATION; DRUG HALF LIFE; HUMAN; HUMAN IMMUNODEFICIENCY VIRUS INFECTION; INFECTION CONTROL; MONOTHERAPY; NONLINEAR SYSTEM; PRIORITY JOURNAL; SENSITIVITY ANALYSIS; VALIDATION PROCESS;

EID: 75049085807     PISSN: 17468094     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.bspc.2009.05.001     Document Type: Article

References (36)

1. UNAIDS, T. W. H. Organization, AIDS epidemic update, 2007.
2. Alvarez-Ramirez J. Feedback control of the chemotherapy of HIV. International Journal of Bifurcation and Chaos 10 9 (2000) 2207-2219
3. Wein L., Zenio S., and Nowak M. Dynamics multidrug therapies for HIV: A theoretic approach. Journal of Theoretical Biology 185 (1997) 15-29
4. Kirschner D., Lenhart S., and Serbin S. Optimal control of the chemotherapy of HIV. Journal of Mathematical Biology 35 (1997) 775-792
5. Brandt M., and Chen G. Feedback control of a biodynamical model of HIV-1. IEEE Transactions on Biomedical Engineering 48 7 (2001) 754-759
6. GE S., Tian Z., and Lee T. Nonlinear control of a dynamic model of HIV-1. IEEE Transactions on Biomedical Engineering 52 3 (2005) 353-361
7. Baraõ M., and Lemos J.M. Nonlinear control of HIV-1 infection with a singular perturbation model. Biomedical Signal Processing and Control 2 (2007) 248-257
8. Biafore F., and D'Attellis C. Exact linearization and control of an HIV-1 predator-prey model. 27th Annual International Conference of the IEEE Engineering in Medicine and Biology Society. Shanghai, China (2005)
9. Shim H., Han S.-J., Shim H., Nam S., and Seo J. Optimal scheduling of drug treatment for HIV infection: continuous dose control and receding horizon control. International Journal of Control, Automation, and Systems 1 3 (2003)
10. Zurakowski R., and Teel A.R. A model predictive control based scheduling method for HIV therapy. Journal of Theoretical Biology (2006) 368-382
11. D. Wodarz, M. Nowak, Specific therapy regimes could lead to long term immunological control of HIV, Proceedings of the National Academy of Sciences of the United States of America (PNAS), vol. 96, 1999, pp. 14464-14469.
12. Chang H., and Astolfi A. Control of HIV infection dynamics. IEEE Control Systems Magazine (2008) 28-39
13. Chang H., Shim H., and Seo J. Control of immune response of HIV infection model by gradual reduction of drug dose. 43rd Conference on Decision and Control. Atlantis, Paradise Island, Bahamas (2004)
14. Nowak M., and May R. Virus Dynamics: Mathematical Principles of Immunology and Virology (2002), Oxford University Press
15. Perelson A., and Nelson P. Mathematical analysis of HIV-1 dynamics in vivo. SIAM Review 41 1 (1999) 3-44
16. Xia X., and Moog C. Identifiability of nonlinear systems with application to HIV/AIDS models. IEEE Transactions on Automatic Control 48 2 (2003) 330-336
17. Ouattara D., and Moog C. Modelling of the HIV/AIDS infection: an aid for an early diagnosis of patients. Biology and Control Theory: Current Challenges, Springer Series in Lecture Notes in Control and Information Sciences (LNCIS) (2007), Springer Verlag
18. D. Ouattara, Modélisation de l'infection par le VIH, identification et aide au diagnostic, Ph.D. thesis, Ecole Centrale de Nantes & Université de Nantes, Nantes, France, September 2006.
19. D. Ouattara, M.J. Mhawej, C. Moog, Clinical tests of therapeutical failures based on mathematical modeling of the HIV infection, Joint special issue of IEEE transactions on circuits and systems and IEEE transactions on Automatic Control, special issue on systems biology (2008) 230-241.
20. Filter R., and Xia X. A penalty function to HIV/AIDS model parameter estimation. 13th IFAC Symposium on System Identification. Rotterdam (2003)
21. Ouattara D. Mathematical analysis of the HIV-1 infection: parameter estimation, therapies effectiveness, and therapeutical failures. 27th Annual International Conference of the IEEE Engineering in Midecine and Biology Society. Shanghai, China (2005)
22. D. Ouattara, M.J. Mhawej, C. Moog, IRCCyN web software for the computation of HIV infection parameters, available at http://www.hiv.irccyn.ec-nantes.fr, 2007.
23. Jeffrey M., Xia X., and Craig I. When to initiate HIV therapy: a control theoretic approach. IEEE Transactions on Biomedical Engineering 50 11 (2003) 1213-1220
24. Craig I., and Xia X. Can HIV/AIDS be controlled?. IEEE Control Sytems Magazine (2005) 80-83
25. B. Adams, H. Banks, H.-D. Kwon, H. T. Tran, Dynamic multidrug therapies for HIV: Optimal and STI approaches, Mathematical Biosciences and Engineering 1 (2) (2004)
26. B. Mozas, Linearization of a HIV/AIDS model, Internal Report, Ecole Centrale de Nantes, France, 2002.
27. Conte G., Moog C.H., and Perdon A.M. Algebraic Methods for Nonlinear Control Systems. second ed. (2007), Springer, London, UK
28. U.S. Department Health and Human Services, Guidelines for the use of antiretroviral agents in HIV-1-infected adults and adolescents, May 2006.
29. Rowland M., and Tozer T. Clinical Pharmacokinetics: Concepts and Applications (1980), Lea & Febiger
30. Wagner G. Fundamentals of clinical pharmacokinetics (1975), Drug Intelligence Publications, inc.
31. Gibaldi M., and Perrier D. Drugs and the Pharmaceutical Sciences, Pharmacokinetics, vol. 1 (1975), Marcel Dekker, 270 Madison Avenue, New York, New York 10016
32. Legrand M., Comets E., Aymard G., Tubiana R., Katlama C., and Diquet B. An in vivo pharmacokinetic/pharmacodynamic model for antiretroviral combination. HIV Clinical Trials 4 3 (2003) 170-183
33. Ruane P.J., Richmond G.J., DeJesus E., Hill-Zabala C., Danehower S.C., Liao Q., Johnson J., and Shaefer M.S. Pharmacodynamic effects of zidovudine 600 mg once/day versus 300 mg twice/day in therapy-naive patients infected with human immunodeficiency virus. Pharmacotherapy 24 3 (2004) 307-312
34. Mhawej M.J., Moog C.H., and Biafore F. The HIV dynamics is a single input system. Proceedings of the 13th International Conference on Biomedical Engineering. Singapore, December (2008)
35. Mhawej M.J., Moog C.H., and Biafore F. Drug dosage control of the HIV infection dynamics. Proceedings of JOBIM 2009. Nantes, June (2009)
36. HIV pharmacology, available at http://www.hivpharmacology.com/.