Long-term HIV dynamics: Mathematical modeling and optimal control

Proceedings of the 2008 International Conference on Bioinformatics and Computational Biology, BIOCOMP 2008

Volumn , Issue , 2008, Pages 444-450

  Hadjiandreou, Marios M ^a   Conejeros, Raul ^b   Vassiliadis, Vassilis S ^a   Wilson, D Ian ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b PONTIFICIA UNIVERSIDAD CATÓLICA DE VALPARAÍSO   (Chile)

Author keywords

Drug efficacy; Resistance; STIs; Therapy

Indexed keywords

CLINICAL DATUM; DRUG EFFICACY; DRUG RESISTANCES; DRUG-RESISTANT VIRUS; HIV DYNAMICS; INFECTED PATIENTS; MATHEMATICAL MODELING; OPTIMAL CONTROLS; OPTIMAL SCHEDULES; OPTIMAL TREATMENTS; RESISTANCE; SIDE-EFFECTS; STIS; STRUCTURED TREATMENT INTERRUPTIONS; T-CELLS; THERAPY;

BIOINFORMATICS; DYNAMICS; OPTIMIZATION; SEMICONDUCTING SILICON; VIRUSES;

DRUG THERAPY;

EID: 60549107791     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (36)

1. E. Vergu, A. Mallet, and J. Golmard. "A Modeling Approach to the Impact of HIV Mutations on the Immune System"; Comput. Biol. Med., Vol. 35, 1-24, 2005.
2. A. B. Gumel, P. N. Shivakumar, and B. M. Sahai. "A Mathematical Model for the Dynamics of HIV-1 during the Typical Course of Infection"; Nonlinear Analysis, Vol. 47, 1773-1783, 2001.
3. D. E. Kirschner and A. S. Perelson. "A Model for the Immune Response to HIV: AZT Treatment Studies", Wuerz Publishing Ltd, 1995.
4. T. Hraba and J. Dolezal. "Mathematical Model of CD4 Lymphocyte Depletion in HIV Infection"; Folia Biol., Vol. 35, 156-163, 1989.
5. D. Kirschner, G. F. Webb, M. Cloyd. "Model of HIV-1 Disease Progression based on Virus-Induced Lymph Node Homing-Induced Apoptosis of CD4+ lymphocytes"; JAIDS, Vol. 24, 352-362, 2000.
6. S. H. Bajaria, G. Webb, M. Cloyd, et al. "Dynamics of Naive and Memory CD4+ T Lymphocytes in HIV-1 Disease Progression"; JAIDS, Vol. 30, 41-58, 2002.
7. A. S. Perelson and P. W. Nelson. "Mathematical Analysis of HIV-1 Dynamics in Vivo"; SIAM Review, Vol. 41, 3-44, 1999.
8. D. E. Kirschner and G. F. Webb. "A Model for Treatment Strategy in the Chemotherapy of AIDS"; Bull. Math. Biol., Vol. 58, 367-391, 1996.
9. T. Igarashi, C. R. Brown, Y. Endo, et al. "Macrophages are the Principal Reservoir and Sustain High Virus Loads in Rhesus Macaques following the Depletion of CD4+ T cells by a Highly Pathogenic SHIV"; PNAS, Vol. 98, 658-663, 2001.
10. T. Hraba and J. Dolezal. "Mathematical Modelling of HIV Infection Therapy"; Int. J. Immunopharmac., Vol. 17, 523-526, 1995.
11. P. A. Morel. "Mathematical Modelling of Immunological Reactions"; Frontiers in Bioscience, Vol. 3, 338-347, 1998.
12. M. M. Hadjiandreou , R. Conejeros, and V. S. Vassiliadis. "Towards a Long-Term Model Construction for the Dynamic Simulation of HIV Infection"; Math. Biosci. Eng., Vol. 4, 489-504, 2007.
13. A. D. Paltiel, M. C. Weinstein, A. D. Kimmel, et al. "Expanded Screening for HIV in the United States: an Analysis of Cost-Effectiveness"; N Engl. J. Med., Vol. 352, 586-595, 2005.
14. D. Morgan, C. Mahe, B. Mayanja, et al. "HIV-1 Infection in Rural Africa: Is There a Difference in Median Time to AIDS and Survival with that in Industrialized Countries?"; AIDS, Vol. 16, 597-632, 2002.
15. M. A. Nowak, S. Bonhoeffer, G. M. Shaw, et al. "Anti-Viral Drug Treatment: Dynamics in Free Virus and Infected Cell Populations"; J. Theor. Biol., Vol. 184, 203-217, 1997.
16. S. H. Bajaria, G. Webb, D. E. Kirschner. "Predicting Differential Responses to Structured Treatment Interruptions during HAART"; Bull. Math. Biol., Vol. 66, 1093-1118, 2004.
17. J. Lisziewicz, E. Rosenberg, J. Lieberman, et al. "Control of HIV Despite the Discontinuation of Antiretroviral Therapy"; N. Engl. J. Med., Vol. 340, 1683-1684, 1999.
18. V. Miller, C. Sabin, K. Hertogs, et al. "Virological and Immunological Effects of Treatment Interruptions in HIV-1 Infected Patients with Treatment Failure"; AIDS, Vol. 14, 2857-2867, 2000.
19. H. L. Devereux, M. Youle, M. A. Johnson, et al. "Rapid Decline in Detectability of HIV-1 Drug Resistance Mutations after Stopping Therapy"; AIDS, Vol. 13, F123-F127, 1999.
20. L. Ruiz, E. Ribera, A. Bonjoch, et al. "Role of Structured Treatment Interruption before a 5-Drug Salvage Antiretroviral Regimen: The Retrogene Study"; J. Infect. Dis., Vol. 188, 977-985, 2003.
21. M. Nowak and R. May. "Virus Dynamics: Mathematical Principles of Immunology and Virology"; Oxford University Press, New York, 2000.
22. E. Krambovitis and D. A. Spandidos. "HIV-1 Infection: Is it Time to Reconsider our Concepts?"; Int. J. Mol. Med., Vol. 18, 3-8, 2006.
23. DE Kirschner and GF Webb. "A Mathematical Model of Combined Drug Therapy of HIV Infection"; J. Theor. Med., Vol. 1, 25-34, 1997.
24. B. M. Adams, H. T. Banks, M. Davidian, et al. "HIV Dynamics: Modeling, Data Analysis, and Optimal Treatment Protocols"; J. Comp. App. Math., Vol. 184, 10-49, 2005.
25. J. E. Mittler, B. R. Levin, and R. Antia. "T-Cell Homeostasis, Competition, and Drift: AIDs as HIV-Accelerated Senescence of the Immune Repertoire"; JAIDS, Vol. 12, 233-248, 1996.
26. Y. Huang, S. L. Rosenkranz, and H. Wu. "Modelling HIV Dynamics and Antiviral Response with Consideration of Time-Varying Drug Exposures, Adherence and Phenotypic Sensitivity"; Math. Biosci., Vol. 184, 165-186, 2003.
27. A. S. Perelson, D. E. Kirschner, and R. De Boer. "Dynamics of HIV Infection of CD4+ T Cells"; Math. Biosci., Vol. 114, 81-125, 1993.
28. T. C. Greenough, D. B. Brettler, F. Kirchhoff, et al. "Long-Term Non-Progressive Infection with HIV-1 in a Hemophilia Cohort"; J. Infect. Dis., Vol. 180, 1790-1802, 1999.
29. A. S. Fauci, G. Pantaleo, S. Stanley, et al. "Immunopathogenic Mechanisms of HIV Infection" Ann. of Int. Med., Vol. 124, 654-663, 1996.
30. E. Pennisi and J. Cohen. "Eradicating HIV from a Patient: Not Just a Dream?"; Science, Vol. 272, 1884, 1996.
31. J. B. Margolick, A. D Donnenberg, and A. Munoz. "T Lymphocytes Homeostasis after Seroconversion"; JAIDS, Vol. 7, 415-416, 1994.
32. R. A. Filter, X. Xia, and C. M. Gray. "Dynamic HIV/AIDS Parameter Estimation with Application to a Vaccine Readiness Study in Southern Africa"; IEEE Trans. in Biom. Eng., Vol. 52, 784-791, 2005.
33. L. Rong, M. A. Gilchrist, Z. Feng, et al. "Modelling Within-Host HIV-1 Dynamics and the Evolution of Drug Resistance", doi: 10.1016/ j.jtbi.2007.04.014, 2007.
34. "HIV Antiretroviral guidelines"; Dept of Health and Human Services, 1-113, 2006.
35. H. R. Joshi. "Optimal Control of an HIV Immunology Model"; Optim. Control Appli., Vol. 23, 199-213, 2002.
36. F. Garcia, M. Plana, G. Ortiz, et al. "The Virological and Immunological Consequences of STIs in Chronic HIV-1 Infection"; AIDS, Vol. 15, F29-F40, 2001.