Parameter Estimation

Mauricio Sales-Cruz, Martina Heitzig, Ian Cameron, Rafiqul Gani

Research output: Chapter in Book/Report/Conference proceedingBook chapterResearchpeer-review

Abstract

In this chapter the importance of parameter estimation in model development is illustrated through various applications related to reaction systems. In particular, rate constants in a reaction system are obtained through parameter estimation methods. These approaches often require the application of optimisation techniques coupled with dynamic solution of the underlying model. Linear and nonlinear approaches to parameter estimation are investigated. There is also the application of maximum likelihood principles in the estimation of parameters, as well as the use of orthogonal collocation to generate a set of algebraic equations as the basis for parameter estimation.These approaches are illustrated using estimations of kinetic constants from reaction system models.
Original languageEnglish
Title of host publicationProduct and Process Modelling : A Case Study Approach
EditorsIan Cameron, Rafiqul Gani
Number of pages557
Volume11
PublisherElsevier
Publication date2011
Pages337-362
ISBN (Print)978-0-444-53161-2
Publication statusPublished - 2011

Keywords

  • Reaction systems
  • Orthogonal collocation
  • Kinetics
  • Langmuir-Hinshelwood
  • Parameter estimation
  • Simulated data
  • Measured data
  • Maximum likelihood principle
  • Optimisation

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