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Structural identifiability of viscoelastic mechanical systems.

Mahdi A, Meshkat N, Sullivant S - PLoS ONE (2014)

Bottom Line: 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.

View Article: PubMed Central - PubMed

Affiliation: Department of Mathematics, North Carolina State University, Raleigh, North Carolina, United States of America.

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.

Show MeSH
Simple linear viscoelastic models.(A) Maxwell element, (B) Voigt element, (C) Burgers model.
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pone-0086411-g002: Simple linear viscoelastic models.(A) Maxwell element, (B) Voigt element, (C) Burgers model.

Mentions: The series combination of a spring, denoted by its constant , and a dashpot, denoted by its constant , is known as a Maxwell element (see Fig. 2(A)). Since the elements are connected in series, the stress is the same on both elements and the total strain is the sum of strains and corresponding to the spring and dashpot, respectively. Now, the relationship between the total strain and stress for this system is(1)


Structural identifiability of viscoelastic mechanical systems.

Mahdi A, Meshkat N, Sullivant S - PLoS ONE (2014)

Simple linear viscoelastic models.(A) Maxwell element, (B) Voigt element, (C) Burgers model.
© Copyright Policy
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC3921126&req=5

pone-0086411-g002: Simple linear viscoelastic models.(A) Maxwell element, (B) Voigt element, (C) Burgers model.
Mentions: The series combination of a spring, denoted by its constant , and a dashpot, denoted by its constant , is known as a Maxwell element (see Fig. 2(A)). Since the elements are connected in series, the stress is the same on both elements and the total strain is the sum of strains and corresponding to the spring and dashpot, respectively. Now, the relationship between the total strain and stress for this system is(1)

Bottom Line: 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.

View Article: PubMed Central - PubMed

Affiliation: Department of Mathematics, North Carolina State University, Raleigh, North Carolina, United States of America.

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.

Show MeSH