Review of Statistical Methods for Within-Host HIV Dynamics in AIDS Studies

Ningtao Wang

University of Texas Health Science Center, Houston, TX Hulin Wu

University of Texas Health Science Center, Houston, TX CONTENTS

  • 11.1 Introduction...............................................................................................229
  • 11.2 Ordinary Differential Equations.............................................................230
  • 11.2.1 Modeling HIV Infection..............................................................230
  • 11.2.2 Modeling Drug Efficacy..............................................................234
  • 11.2.3 Modeling Drug Resistance.........................................................236
  • 11.3 Model Identifiability.................................................................................240
  • 11.3.1 Practical Identifiability Analysis................................................240
  • 11.3.1.1 Monte Carlo Simulation.............................................240
  • 11.3.1.2 Correlation Matrix......................................................241
  • 11.3.2 Sensitivity-Based Identifiability Analysis.................................242
  • 11.4 ODE Model Fitting Methods..................................................................243
  • 11.4.1 Least Squares Approaches..........................................................243
  • 11.4.2 Hierarchical Modeling Approaches..........................................244
  • 11.4.3 Smoothing-Based Approaches...................................................245
  • 11.5 High-Dimensional ODE Modeling.........................................................246
  • 11.6 Discussion..................................................................................................247

References.............................................................................................................248

 
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