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Structural Identifiability of Viscoelastic Mechanical Systems

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  • Adam Mahdi
  • Nicolette Meshkat
  • Seth Sullivant

Abstract

We solve the local and global structural identifiability problems for viscoelastic mechanical models represented by networks of springs and dashpots. We propose a very simple characterization of both local and global structural identifiability based on identifiability tables, with the purpose of providing a guideline for constructing arbitrarily complex, identifiable spring-dashpot networks. We illustrate how to use our results in a number of examples and point to some applications in cardiovascular modeling.

Suggested Citation

  • Adam Mahdi & Nicolette Meshkat & Seth Sullivant, 2014. "Structural Identifiability of Viscoelastic Mechanical Systems," PLOS ONE, Public Library of Science, vol. 9(2), pages 1-10, February.
    • Handle: RePEc:plo:pone00:0086411
    DOI: 10.1371/journal.pone.0086411
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    References listed on IDEAS

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    1. Oana-Teodora Chis & Julio R Banga & Eva Balsa-Canto, 2011. "Structural Identifiability of Systems Biology Models: A Critical Comparison of Methods," PLOS ONE, Public Library of Science, vol. 6(11), pages 1-16, November.
    2. Adam Mahdi & Jacob Sturdy & Johnny T Ottesen & Mette S Olufsen, 2013. "Modeling the Afferent Dynamics of the Baroreflex Control System," PLOS Computational Biology, Public Library of Science, vol. 9(12), pages 1-18, December.
    3. Mark P Little & Wolfgang F Heidenreich & Guangquan Li, 2010. "Parameter Identifiability and Redundancy: Theoretical Considerations," PLOS ONE, Public Library of Science, vol. 5(1), pages 1-6, January.
    4. Denis-Vidal, Lilianne & Joly-Blanchard, Ghislaine & Noiret, Céline, 2001. "Some effective approaches to check the identifiability of uncontrolled nonlinear systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 57(1), pages 35-44.
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