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Activity Number:
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415
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Type:
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Topic Contributed
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Date/Time:
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Wednesday, August 1, 2007 : 10:30 AM to 12:20 PM
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Sponsor:
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WNAR
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| Abstract - #309100 |
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Title:
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Mathematical Modeling and Statistical Methods for AIDS Translational Research from Benchside to Bedside
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Author(s):
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Hulin Wu*+
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Companies:
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University of Rochester
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Address:
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Dept of Biostatistics and Computational, Rochester, NY, 14642,
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Keywords:
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HIV/AIDS ; Viral Dynamics ; Differential Equation Models ; Viral Fitness
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Abstract:
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We propose statistical methods to estimate HIV viral dynamic parameters in both in vitro experiments and clinical trials that are described by a set of nonlinear ordinary differential equations (ODE). It is quite challenging to study the identifiability and fit the nonlinear differential equation models without a closed form solution. We employ an engineering technique to study the identifiability of the proposed ODE models. For model fitting and parameter estimation, we propose the naive nonlinear least squares method that requires numerically solving the ODEs and a two-step method that avoids the numerical solution of the ODEs. We present the asymptotic results of the proposed estimators and finite-sample properties via Monte Carlo simulations. We also illustrate the proposed methods by applying the methods to HIV viral fitness experimental data and AIDS clinical trial data.
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- The address information is for the authors that have a + after their name.
- Authors who are presenting talks have a * after their name.
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