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Interval Methods

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Uncertainty in Biology

Part of the book series: Studies in Mechanobiology, Tissue Engineering and Biomaterials ((SMTEB,volume 17))

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).

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Author information

Authors and Affiliations

  1. Department of Mathematics, Uppsala University, Uppsala, Sweden

    Warwick Tucker

Authors
  1. Warwick Tucker
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Correspondence to Warwick Tucker .

Editor information

Editors and Affiliations

  1. Biomechanics Research Unit, University of Liège, Liège 1, Belgium

    Liesbet Geris

  2. Center for Molecular Medicine, Karolinska University Hospital, Stockholm, Sweden

    David Gomez-Cabrero

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The authors declare that they have no conflict of interest.

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Tucker, W. (2016). Interval Methods. In: Geris, L., Gomez-Cabrero, D. (eds) Uncertainty in Biology. Studies in Mechanobiology, Tissue Engineering and Biomaterials, vol 17. Springer, Cham. https://doi.org/10.1007/978-3-319-21296-8_8

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  • DOI: https://doi.org/10.1007/978-3-319-21296-8_8

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-21295-1

  • Online ISBN: 978-3-319-21296-8

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