Relationships between antiviral treatment effects and biphasic viral decay rates in modeling HIV dynamics

Mathematical Biosciences

Volumn 160, Issue 1, 1999, Pages 63-82

  Ding, A Adam ^a   Wu, Hulin ^b  

^a NORTHEASTERN UNIVERSITY   (United States)

^b HARVARD SCHOOL OF PUBLIC HEALTH   (United States)

Author keywords

AIDS; Antiviral therapy; Differential equations; HIV infection; Viral dynamics

Indexed keywords

ANTIRETROVIRUS AGENT; PROTEINASE INHIBITOR; RNA DIRECTED DNA POLYMERASE INHIBITOR;

ACQUIRED IMMUNE DEFICIENCY SYNDROME; ARTICLE; COMPUTER SIMULATION; DRUG EFFICACY; HUMAN; HUMAN IMMUNODEFICIENCY VIRUS; HUMAN IMMUNODEFICIENCY VIRUS INFECTION; MATHEMATICAL ANALYSIS;

ANTIVIRAL AGENTS; COMPUTER SIMULATION; HIV; HIV INFECTIONS; HIV PROTEASE INHIBITORS; HUMANS; MODELS, BIOLOGICAL; REVERSE TRANSCRIPTASE INHIBITORS; VIREMIA;

EID: 0032864856     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0025-5564(99)00021-8     Document Type: Article

References (21)

1. S. Merrill, AIDS: background and the dynamics of the decline of immunocompetence, in: A.S. Perelson (Ed.), Theoretical Immunology, Part 2, Addison-Wesley, Redwood City, California, 1987.
2. A. McLean, HIV infection from an ecological viewpoint, in: A.S. Perelson (Ed.), Theoretical Immunology, Part Two, 1988, pp. 77.
3. R.M. Anderson, R.M. May, Complex dynamical behavior in the interaction between HIV and the immune system, in: A. Goldbeter (Ed.), Cell to Cell Signaling: From Experiments to Theoretical Models, Academic Press, New York, 1989.
4. A.S. Perelson, Modeling the interaction of the immune system with HIV, in: C. Castillo-Chavez (Ed.), Mathematical and Statistical Approaches to AIDS Epidemiology, Lect. Notes Biomath., vol. 83, Springer, New York, 1989.
5. Ho D.D., Neumann A.U., Perelson A.S., Chen W., Leonard J.M., Markowitz M. Rapid turnover of plasma virions and CD4 lymphocytes in HIV-1 infection. Nature. 373:1995;123.
6. Wei X., Ghosh S.K., Taylor M.E., Johnson V.A., Emini E.A., Deutsch P., Lifson J.D., Bonhoeffer S., Nowak M.A., Hahn B.H., Saag M.S., Shaw G.M. Viral dynamics in human immunodeficiency virus type 1 infection. Nature. 373:1995;117.
7. Perelson A.S., Neumann A.U., Markowitz M., Leonard J.M., Ho D.D. HIV-1 dynamics in vivo: virion clearance rate, infected cell life-span, and viral generation time. Science. 271:1996;1582.
8. Perelson A.S., Essunger P., Cao Y., Vesanen M., Hurley A., Saksela K., Markowitz M., Ho D.D. Decay characteristics of HIV-1-infected compartments during combination therapy. Nature. 387:1997;188.
9. Notermans D.W., Goudsmit J., Danner S.A., de Wolf F., Perelson A.S., Mittler J. Rate of HIV-1 decline following antiretroviral therapy is related to viral load at baseline and drug regimen. AIDS. 12:1998;1483.
10. H. Wu, D.R. Kuritzkes, M.S. Clair, H. Kessler, E. Connick, A. Landay, M. Heath-Chiozzi, F. Rousseau, L. Fox, J. Spritzler, J.M. Leonard, D.R. McClernon, M.M Lederman, Interpatient variation of viral dynamics in HIV-1 infection: modeling results of AIDS clinical trials group protocol 315, The International Workshop on HIV Drug Resistance, Treatment Strategies and Eradication, Abstract 99, 1997, pp. 66-67.
11. P. Essunger, M. Markowitz, D.D. Ho, A.S. Perelson, Efficacy of drug combination and dosing regimen in antiviral therapy, The International Workshop on HIV Drug Resistance, Treatment Strategies and Eradication, Abstract73, 1997, p. 48.
12. D.D. Ho, Novel approaches for the evaluation of new drugs: approaches using viral dynamics, in: The fifth Conference on Retroviruses and Opportunistic Infections, Chicago, IL, February 1998.
13. R.M.W. Hoetelmans, M.H.E. Reijers, G.F. Weberling, S. Furriaans, F.M.A. Lange, The rate of decline of HIV-1 RNA in plasma correlates with nelfinavir concentrations in plasma, in: The 12th World AIDS Conference, Geneva, Switzerland, 28 June to 3 July 1998.
14. Wein L.M., D'Amato R.M., Perelson A.S. Mathematical analysis of antiretroviral therapy aimed at HIV-1 eradication or maintenance of low viral loads. J. Theoret. Biol. 192:1998;81.
15. Piatak M., Saag M.S., Yang L.C., Clark S.J., Kappes J.C., Luk K.-C., Hahn B.H., Shaw G.M., Lifson J.D. High levels of HIV-1 in plasma during all stages of infection determined by competitive PCR. Science. 259:1993;1749.
16. H. Wu, A.A. Ding, Population HIV-1 dynamics in vivo: applicable models and inferential tools for virological data from AIDS clinical trials, Biometrics 55 (2) (1999) (to appear).
17. Herz A.V.M., Bonhoeffer S., Anderson R.M., May R.M., Nowak M.A. Viral dynamics in vivo: limitations on estimates of intracellular delay and virus decay. Proc. Nat. Acad. Sci. USA. 93:1996;7247.
18. Mittler J.E., Sulzer B., Neumann A.U., Perelson A.S. Influence of delayed viral production on viral dynamics in HIV-1 infected patients. Math. Biosci. 152:1998;143.
19. H. Wu, D.R. Kuritzkes, D.R. McClernon, H. Kessler, E. Connick, A. Landay, M. Heath-Chiozzi, F. Rousseau, L. Fox, J. Spritzler, J.M. Leonard, D.R. McClernon, M.M. Lederman, Characterizing viral dynamics in HIV-1-infected patients treated with combination antiretroviral therapy: relationships to host factors, cellular restoration and virological endpoints, J. Infect. Diseases 179 (4) (1999) 799.
20. A.A. Ding, H. Wu, Assessing antiviral potency of anti-HIV therapies in vivo by comparing viral decay rates in viral dynamic models, The 1999 Joint Statistical Meetings, Baltimore, MD, Aug. 1999.
21. H. Wu, How frequently should viral load be monitored to evaluate antiretroviral therapies in AIDS clinical trials? J. Acq. Immune Defic. Syndr. Human Retrovirol. 20 (1999) 97.