Precision in the Specification of Ordinary Differential Equations and Parameter Estimation in Modeling Biological Processes

Sarah E. Holte

Fred Hutchinson Cancer Research Center, Seattle, WA

Yajun Mei

Georgia Institute of Technology, Atlanta, GA

CONTENTS

  • 12.1 Introduction...............................................................................................257
  • 12.2 Model Mis-Specification and Statistical Model Comparison.............259
  • 12.3 Model Parameter Identifiability and Study Design............................266
  • 12.3.1 The Sensitivity Matrix.................................................................267
  • 12.3.2 TheFIM.........................................................................................269
  • 12.3.3 Combining the Sensitivity Matrix and FIM............................270
  • 12.3.4 Study Design: Impact of New Compartment or Time Points... 270
  • 12.4 Examples....................................................................................................272
  • 12.4.1 Model Parameter Identifiability: Lumped Parameters ..........272
  • 12.4.2 Models for Viral Decay of HIV after Treatment ....................272
  • 12.5 Discussion..................................................................................................278

References.............................................................................................................279

 
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