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Bayesian Analysis of a Population HIV Dynamic Model

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Case Studies in Bayesian Statistics

Part of the book series: Lecture Notes in Statistics ((LNS,volume 167))

Abstract

A Bayesian analysis of an HIV dynamic model using data from Perelson et al. (1996) is presented. The prior distribution is based on the scientific literature prior to 1996. A nonlinear mixed-effects model is introduced that explicitly models variability between subjects. Both maximum likelihood and Bayesian analyses are given.

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References

  • Cao, Y., Ho, DD., Todd, J., Kokka, R., Urdea, M., Lifson, JD., Piatak, Jr., M., Chen, S., Hahn, BH., Saag, MS., and Shaw, GM. (1995), “Clinical Evaluation of Branched DNA Signal Amplification for Quantifying HIV Type 1 in Human Plasma”,AIDS Research and Human Retroviruses11, 353–361.

    Article  Google Scholar 

  • Chaloner, K. (1994), “Residual Analysis and Outliers in Bayesian Hierarchical Models”, inAspects of Uncertainty:A Tribute to D. V. Lindley, Freeman P.R., and Smith A.F.M. (Eds.), Wiley, Chichester, 149–157.

    Google Scholar 

  • Ho, D.D., Neumann, A.U., Perelson, A.S., Chen, W., Leonard, J.M., and Markowitz, M. (1995), “Rapid Turnover of Plasma Virions and CD4 Lymphocytes in HIV-1 Infection”,Nature373, 123–126.

    Article  Google Scholar 

  • Mentré, F., Mallet, A., and Baccar, D. (1997), “Optimal Design in Random- Effects Regression Models”,Biometrika84, 429–442.

    Article  MATH  MathSciNet  Google Scholar 

  • Mittler, J.E., Sulzer, B., Neumann, A.U., and Perelson, A.S. (1998), “Influence of Delayed Viral Production on Viral Dynamics in HIV-1 Infected Patients”,Mathematical Biosciences152, 143–163.

    Article  MATH  Google Scholar 

  • Nelson, P.W., Mittler, J.E., and Perelson, A.S. (2001), “Effect of Drug Efficacy and the Eclipse Phase of the Viral Life Cycle on Estimates of HIV Viral Dynamic Parameters”,Journal of Acquired Immune Deficiency Syndromes26, 405–412.

    Article  Google Scholar 

  • Nowak, M.A., Bonhoeffer, S., Clive, L., Balfe, P., Semple, M., Kaye, S., Tenant-Flowers, M., and Tedder, R. (1995), “HIV Results in the Frame”, Nature 375, 193.

    Article  Google Scholar 

  • Nowak, M.A., and May, R.M. (2000). Virus Dynamics, Oxford University Press, Oxford.

    Google Scholar 

  • Pachl, C., Todd, J.A., Kern, D.G., Sheridan, P.J., Fong, S.-J., Stempien, M., Hoo, B., Besemer, D., Yeghiazarian, T., Irvine, B., Kolberg, J., Kokka, R., Neuwald, P., and Urdea, M.S. (1995), “Rapid and Precise Quantification of HIV RNA in Plasma Using a Branched DNASignal Amplification Assay”,Journal of Acquired Immune Deficiency Syndromes and Human Retrovirology8, 446–454.

    Article  Google Scholar 

  • Perelson, A.S., Essunger, P., Cao, Y., Vesanen, M., Hurley, A., Saksela, K., Markowitz, M., and Ho, D.D. (1997), “Decay Characteristics of HIV-l-Infected Compartments during Combination Therapy”,Nature387, 188–191.

    Article  Google Scholar 

  • Perelson, A.S., and Nelson, P.W. (1999), “Mathematical Analysis of HIV-1 Dynamicsin vivo”,SI AM Review41, 3–44.

    Article  MATH  MathSciNet  Google Scholar 

  • Perelson, A.S., Neumann, A.U., Markowitz, M., Leonard, J.M., and Ho, D.D. (1996), “HIV-1 Dynamicsin vivo: Virion Clearance Rate, Infected Cell Life-Span, and Viral Generation Time”,Science271, 1582–1586.

    Article  Google Scholar 

  • Pinheiro, J.C. and Bates, D.M. (2000),Mixed-Effects Models in S and S- PLUS, Springer, New York.

    Book  MATH  Google Scholar 

  • Todd, J., Pachl, C., White, R., Yeghiazarian, T., Johnson, P., Taylor, B., Holodniy, M., Kern, D., Hamren, S., Chernoff, D., and Urdea, M. (1995), “Performance Characteristics for the Quantitation of Plasma HIV-1 RNA Using Branched DNA Signal Amplification Technology”,Journal of Acquired Immune Deficiency Syndromes and Human Retrovirology10 (Suppl. 2), S35–S44.

    Google Scholar 

  • 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., and Shaw, G.M. (1995), “Viral Dynamics in Human Immunodeficiency Virus Type 1 Infection”,Nature373, 117–122.

    Article  Google Scholar 

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© 2002 Springer Science+Business Media New York

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Han, C., Chaloner, K., Perelson, A.S. (2002). Bayesian Analysis of a Population HIV Dynamic Model. In: Gatsonis, C., et al. Case Studies in Bayesian Statistics. Lecture Notes in Statistics, vol 167. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2078-7_10

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