Parameter Selection Methods in Inverse Problem Formulation

Abstract

We discuss methods for a priori selection of parameters to be estimated in inverse problem formulations (such as Maximum Likelihood, Ordinary and Generalized Least Squares) for dynamical systems with numerous state variables and an even larger number of parameters. We illustrate the ideas with an in-host model for HIV dynamics which has been successfully validated with clinical data and used for prediction and a model for the reaction of the cardiovascular system to an ergometric workload.

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Document Details

Document Type
Technical Report
Publication Date
Nov 03, 2010
Accession Number
ADA556860

Entities

People

  • Ariel Cintron-arias
  • Franz Kappel
  • H. Thomas Banks

Organizations

  • North Carolina State University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algorithms
  • Biological Sciences
  • Blood
  • Cardiovascular System
  • Cells
  • Computations
  • Control Systems
  • Differential Equations
  • Dynamics
  • Equations
  • Health Services
  • Inverse Problems
  • Lymphocytes
  • Mathematical Models
  • Mathematics
  • Measurement
  • Workload

Fields of Study

  • Biology
  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Exercise and Sports Science.