PLoS ONE (Jan 2014)

Structural identifiability of viscoelastic mechanical systems.

  • Adam Mahdi,
  • Nicolette Meshkat,
  • Seth Sullivant

DOI
https://doi.org/10.1371/journal.pone.0086411
Journal volume & issue
Vol. 9, no. 2
p. e86411

Abstract

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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.