Limits...
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
(A) Multi-parameter linear viscoelastic model considered by Dietrich et al. [19]. (B) Ten element viscoelastic model studied in [13], (C) A viscoelastic model of used to describe the baroreceptor nerve ending coupling to the arterial wall (see [20] and [21], [29]).
© Copyright Policy
Related In: Results  -  Collection

License
getmorefigures.php?uid=PMC3921126&req=5

pone-0086411-g003: (A) Multi-parameter linear viscoelastic model considered by Dietrich et al. [19]. (B) Ten element viscoelastic model studied in [13], (C) A viscoelastic model of used to describe the baroreceptor nerve ending coupling to the arterial wall (see [20] and [21], [29]).

Mentions: Consider a viscoelastic material studied in [19] and represented by a spring-dashpot network shown in Fig. 3(A). It can be symbolically represented by(6)Again, we can verify the local identifiability of the above model using Tables 1 and 2 and obtainThis simple computation confirms that the model is locally structurally identifiable.


Structural identifiability of viscoelastic mechanical systems.

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

(A) Multi-parameter linear viscoelastic model considered by Dietrich et al. [19]. (B) Ten element viscoelastic model studied in [13], (C) A viscoelastic model of used to describe the baroreceptor nerve ending coupling to the arterial wall (see [20] and [21], [29]).
© Copyright Policy
Related In: Results  -  Collection

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

pone-0086411-g003: (A) Multi-parameter linear viscoelastic model considered by Dietrich et al. [19]. (B) Ten element viscoelastic model studied in [13], (C) A viscoelastic model of used to describe the baroreceptor nerve ending coupling to the arterial wall (see [20] and [21], [29]).
Mentions: Consider a viscoelastic material studied in [19] and represented by a spring-dashpot network shown in Fig. 3(A). It can be symbolically represented by(6)Again, we can verify the local identifiability of the above model using Tables 1 and 2 and obtainThis simple computation confirms that the model is locally structurally identifiable.

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