Influence of delayed viral production on viral dynamics in HIV-1 infected patients

Mathematical Biosciences

Volumn 152, Issue 2, 1998, Pages 143-163

  Mittler, John E ^a,b   Sulzer, Bernhard ^a,c   Neumann, Avidan U ^a,d,e   Perelson, Alan S ^a  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

^b CENTER FOR NONLINEAR STUDIES   (United States)

^c Axaron Bioscience AG   (Germany)

^d BAR ILAN UNIVERSITY   (Israel)

^e SANTA FE INSTITUTE   (United States)

Author keywords

AIDS; Antiretroviral therapy; HIV 1; Mathematical models; Protease inhibitors; Viral load

Indexed keywords

VIRUS RNA;

ACQUIRED IMMUNE DEFICIENCY SYNDROME; ARTICLE; CELL DEATH; DATA ANALYSIS; DISEASE PREDISPOSITION; HELPER CELL; HUMAN; HUMAN IMMUNODEFICIENCY VIRUS 1; HUMAN IMMUNODEFICIENCY VIRUS INFECTION; PATHOGENESIS; RNA TRANSPORT; TARGET CELL; VIRUS CONCENTRATION; VIRUS REPLICATION;

ACQUIRED IMMUNODEFICIENCY SYNDROME; COMPUTER SIMULATION; HIV-1; HUMANS; KINETICS; LEAST-SQUARES ANALYSIS; MODELS, BIOLOGICAL; NONLINEAR DYNAMICS; PROTEASE INHIBITORS; REGRESSION ANALYSIS; RNA, VIRAL; TIME FACTORS; VIRAL LOAD;

HUMAN IMMUNODEFICIENCY VIRUS; HUMAN IMMUNODEFICIENCY VIRUS 1;

EID: 0032168279     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0025-5564(98)10027-5     Document Type: Article

References (18)

1. 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.
2. 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.
3. 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.
4. Coffin J.M. HIV population dynamics in-vivo: Implications for genetic-variation, pathogenesis, and therapy. Science. 267:1995;483.
5. Coffin J.M. HIV viral dynamics. AIDS. 10:1996;S75.
6. Carpenter C.C.J., Fischl M.A., Hammer S.M., Hirsch M.S., Jacobsen D.M., Katzentein D.A., Montaner J.S.G., Richman D.D., Saag M.S., Schooley R.T., Thompson M.A., Vella S., Yeni P.G., Volberding P.A. Antiretroviral therapy for HIV-infection in 1996: Recommendations of an international panel. J. Am. Med. Assoc. 276:1996;146.
7. Richman D.D. HIV therapeutics. Science. 272:1996;1886.
8. 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. Natl. Acad. Sci. USA. 93:1996;7247.
9. Danner S.A., Carr A., Leonard J.M., Lehman L.M., Gudiol F., Gonzales J., Raventos A., Rubio R., Bouza E., Pintado V., Aguado A.G., Delomas J.G., Delgado R., Borleffs J.C.C., Hsu A., Valdes J.M., Boucher C.A.B., Cooper D.A., Gimeno C., Clotet B., Tor J., Ferrer E., Martinez P.L., Moreno S., Zancada G., Alcami J., Noriega A.R., Pulido F., Glassman H.N. A short-term study of the safety pharmocokinetics, and efficacy of ritonavir, an inhibitor of HIV-1 protease. New Engl. J. Med. 333:1995;1528.
10. Lavie A., Schlichting I., Vetter I.R., Konrad M., Reinstein J., Goody R.S. The bottleneck in AZT activation. Nature Medicine. 3:1997;922.
11. Dimitrov D.S., Willey R.L., Sato H., Chang L.-J., Blumenthal R., Martin M.A. Quantitation of human immunodeficiency virus type 1 infection kinetics. J. Virol. 67:1993;2182.
12. Pellegrino M.G., Li G.R., Potash M.J., Volsky D.J. Contribution of multiple rounds of viral entry and reverse transcription of expression to human immunodeficiency virus type 1. J. Biol. Chem. 266:1991;1783.
13. Perelson A.S., Essunger P., Cao Y.Z., 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.
14. N.A.J. Hatings, J.B. Peacock, Statistical Distributions, Wiley, New York, 1975.
15. N. Mac Donald, Biological Delay Systems: Linear Stability Theory, Cambridge University, Cambridge, 1989.
16. Kern D., Collins M., Fultz T., Detmer J., Hamren S., Peterkin J.J., Sheridan P., Urdea M., White R., Yeghiazarian T., Todd J. An enhanced-sensitivity branched-DNA assay for quantification of human-immunodeficiency-virus type-1 RNA in plasma. J. Clin. Microbiol. 34:1996;3196.
17. Michie C.A., McLean A., Alcock C., Beverley P.C.L. Lifespan of human lymphocyte subsets defined by CD45 isoforms. Nature. 360:1992;264.
18. I.S. Gradshteyn, I.M. Ryzhik, Table of Integrals Series and Products, Academic Press, New York, 1980, p. 18.