Optimal control of HIV-virus dynamics

Annals of Biomedical Engineering

Volumn 37, Issue 6, 2009, Pages 1251-1261

  Radisavljevic Gajic, Verica ^a  

^a RUTGERS UNIVERSITY   (United States)

Author keywords

HIV dynamic model; Linearization; Nonlinear control; Optimal control

Indexed keywords

ANTI-VIRAL DRUGS; CLOSED-LOOP CONTROLLERS; CONTROL STRATEGIES; CONTROL VARIABLES; EFFICIENT CONTROLS; EQUILIBRIUM POINTS; EQUILIBRIUM VALUES; FEEDBACK CONTROLLERS; HIV DYNAMIC MODEL; LINEARIZED SYSTEMS; NON-LINEAR MODELS; NONLINEAR CONTROL; OPEN LOOPS; OPTIMAL CONTROL; OPTIMAL CONTROLLERS; PROTEASE INHIBITORS; REVERSE TRANSCRIPTASE; SET POINT CONTROLLERS; SET POINTS; STEADY STATE; SYSTEM STATE VARIABLES; T-CELLS; THIRD ORDERS; TWO COMPONENTS; VIRUS DYNAMICS; WHITE BLOOD CELLS;

BLOOD; CELL MEMBRANES; DYNAMIC MODELS; DYNAMIC PROGRAMMING; DYNAMICS; ENZYME INHIBITION; LINEARIZATION; NEURAL NETWORKS; NONLINEAR CONTROL SYSTEMS; OPTIMIZATION;

CONTROLLERS;

PROTEINASE INHIBITOR; RNA DIRECTED DNA POLYMERASE INHIBITOR;

ACQUIRED IMMUNE DEFICIENCY SYNDROME; ARTICLE; BIOLOGICAL MODEL; CD4 LYMPHOCYTE COUNT; DRUG EFFECT; HUMAN; HUMAN IMMUNODEFICIENCY VIRUS; IMMUNOLOGY; NONLINEAR SYSTEM; T LYMPHOCYTE; VIROLOGY;

ACQUIRED IMMUNODEFICIENCY SYNDROME; CD4 LYMPHOCYTE COUNT; HIV; HUMANS; MODELS, BIOLOGICAL; NONLINEAR DYNAMICS; PROTEASE INHIBITORS; REVERSE TRANSCRIPTASE INHIBITORS; T-LYMPHOCYTES;

EID: 67349110221     PISSN: 00906964     EISSN: 15739686     Source Type: Journal    
DOI: 10.1007/s10439-009-9672-7     Document Type: Article

References (23)

1. Astrom, K., and M. Wittenmark. PID Controllers Theory, Design, and Tuning. Instrument Society of America, 1995.
2. H. Banks H. Kwon J. Toivanen H. Tran 2006 A state-dependent Riccati equation-based estimator approach for HIV feedback control Optim. Control Appl. Method 27 93 121
3. M. Brandt G. Chen 2001 Feedback control of a biodynamical model of HIV-1 IEEE Trans. Biomed. Eng. 48 754 759 10.1109/10.930900 (Pubitemid 32574935)
4. Chen, T-C. Linear Systems and Design Oxford University Press, Oxford, United Kingdom, 1999.
5. I. Craig X. Xia 2005 Can HIV/AIDS be controlled IEEE Control Syst. Mag. 25 80 83 10.1109/MCS.2005.1388805
6. I. Craig X. Xia J. Venter 2004 Introducing HIV/AIDS education into the electrical engineering curriculum at the university of Pretoria IEEE Trans. Educ. 47 65 73 10.1109/TE.2003.817620
7. R. Culshaw 2004 Review of HIV models: the role of the natural immune response and implications for treatment J. Biol. Syst. 12 123 135 10.1142/S0218339004001099 (Pubitemid 39415577)
8. F. de Souza 1999 Modeling the dynamics of HIV-1 and CD4 and CD8 lymphocytes Eng. Med. Biol. 18 21 24 (Pubitemid 29059003)
9. Friedland, B. Advanced Control System Design. Prentice Hall, Englewood Cliffs, 1996.
10. S. Ge Z. Tian T. Lee 2005 Nonlinear control of dynamic model of HIV-1 IEEE Trans. Biomed. Eng. 52 353 361 10.1109/TBME.2004.840463 (Pubitemid 40343732)
11. D. Havlir D. Richman 1996 Viral dynamics of HIV: implications for drug development and therapeutic strategies Ann. Intern. Med. 124 984 994 (Pubitemid 126505329)
12. D. D. Ho A. U. Neumann A. S. Perelson W. Chen J. M. Leonard M. Markowitz 1995 Rapid turnover of plasma virions and CD4 lymphocytes in HIV-1 infection Nature 373 123 126 10.1038/373123a0
13. A. M. Jeffrey X. Xia K. Craig 2003 When to initiate HIV therapy: a control theoretic approach IEEE Trans. Biomed. Eng. 50 1213 1220 10.1109/TBME.2003.818465 (Pubitemid 37339396)
14. Khalil, H. Nonlinear Systems. Prentice Hall, Englewood Cliffs, 2002.
15. J. Ko W. Kim C. Chung 2006 Optimized structural interpretation for HIV therapy and its performance analysis on controllability IEEE Trans. Biomed. Eng. 53 380 386 10.1109/TBME.2005.869651 (Pubitemid 43288815)
16. A. Kremling J. Saez-Rodriguez 2007 Systems biology-an engineering perspective J. Biotechnol. 129 329 351 10.1016/j.jbiotec.2007.02.009 (Pubitemid 46541694)
17. Nowak, M. and R. May. Virus Dynamics: Mathematical Principles of Immunology and Virology. New York, Oxford Press, 2000.
18. A. Perelson P. Nelson 1996 Mathematical analysis of HIV-I dynamics in vivo SIAM Rev. 41 3 44 10.1137/S0036144598335107
19. A. S. Perelson A. U. Neumann M. Markowitz J. M. Leonard D. D. Ho 1996 HIV-1 dynamics in vivo: virion clearance rate, infected cell lifespan and viral generation time Science 271 582 1586 (Pubitemid 26097216)
20. E. D. Sontag 2004 New directions in control theory inspired by systems biology Syst. Biol. 1 9 18 10.1049/sb:20045006
21. E. D. Sontag 2005 Molecular system biology and control Eur. J. Control 11 396 435 10.3166/ejc.11.396-435
22. U.S. Department of Health and Human Services. Guidelines for the use of antiretroviral agents in HIV-infected adults and adolescents. Online http://www.aidsinfo.nih.gov/guidelines , 2003.
23. X. Xia 2003 Estimation of HIV/AIDS parameters Automatica 39 1983 1988 10.1016/S0005-1098(03)00220-6