Interval Methods

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Abstract

We describe a modern approach to parameter estimation, based on set-valued computations combined with a branch and bound step. This allows us to examine entire sets of parameters, and thus to exhaust the global search within a finite number of steps. In addition, we show that the method can be accelerated by set-valued constraint propagation, which allows great improvement of its efficiency. To illustrate the applicability of our method we apply it to some networks of biochemical reactions modeled by a generic class of ODEs called Generalized Mass Action Models (GMAs).

Original languageEnglish
Title of host publicationUncertainty in Biology
Subtitle of host publicationA Computational Modeling Approach
EditorsLiesbet Geris, David Gomez-Cabrero
Place of PublicationCham Switzerland
PublisherSpringer
Pages199-211
Number of pages13
Volume17
ISBN (Electronic)978-3-319-21296-8
ISBN (Print)978-3-319-21295-1
DOIs
Publication statusPublished - 2016
Externally publishedYes

Publication series

NameStudies in Mechanobiology, Tissue Engineering and Biomaterials
Volume17
ISSN (Print)1868-2006
ISSN (Electronic)1868-2014

Keywords

  • Directed rounding
  • Interval arithmetic
  • Parameter estimation
  • Set-valued methods

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