Validation of a heterogeneous elastic-biphasic model for the numerical simulation of the PDL

Marco Favino; Christian Gross; Marcel Drolshagen; Ludger Keilig; James Deschner; Christoph Bourauel; Rolf Krause

doi:10.1080/10255842.2011.628660

Validation of a heterogeneous elastic-biphasic model for the numerical simulation of the PDL

Marco Favino^*, Christian Gross, Marcel Drolshagen, Ludger Keilig, James Deschner, Christoph Bourauel, Rolf Krause

^*Corresponding author for this work

Applied Mathematics and Computational Science

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

An elastic-biphasic model for the simulation of the periodontal ligament (PDL) and the adjacent tooth is presented and investigated. The PDL is modelled as a biphasic material following the work of Ehlers and Markert (2001), whereas the tooth is modelled as a linear elastic body. A spatial discretisation scheme is proposed based on mixed finite elements for the spatial discretisation. Due to nonlinearity in the model, a predictor-corrector scheme is employed as a temporal discretisation scheme. In order to validate the PDL model, in vitro measurements are compared with numerical simulations. The numerical simulations are performed using geometries resulting from micro-CT scanner of the same porcine tooth, which was employed for the invitro measurements.

Original language	English (US)
Pages (from-to)	544-553
Number of pages	10
Journal	Computer Methods in Biomechanics and Biomedical Engineering
Volume	16
Issue number	5
DOIs	https://doi.org/10.1080/10255842.2011.628660
State	Published - May 2013

Keywords

biphasic theory
elastic-biphasic coupling
finite elements
partial differential equation
periodontal ligament

ASJC Scopus subject areas

Bioengineering
Biomedical Engineering
Human-Computer Interaction
Computer Science Applications

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10.1080/10255842.2011.628660

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title = "Validation of a heterogeneous elastic-biphasic model for the numerical simulation of the PDL",

abstract = "An elastic-biphasic model for the simulation of the periodontal ligament (PDL) and the adjacent tooth is presented and investigated. The PDL is modelled as a biphasic material following the work of Ehlers and Markert (2001), whereas the tooth is modelled as a linear elastic body. A spatial discretisation scheme is proposed based on mixed finite elements for the spatial discretisation. Due to nonlinearity in the model, a predictor-corrector scheme is employed as a temporal discretisation scheme. In order to validate the PDL model, in vitro measurements are compared with numerical simulations. The numerical simulations are performed using geometries resulting from micro-CT scanner of the same porcine tooth, which was employed for the invitro measurements.",

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AU - Favino, Marco

AU - Gross, Christian

AU - Drolshagen, Marcel

AU - Keilig, Ludger

AU - Deschner, James

AU - Bourauel, Christoph

AU - Krause, Rolf

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AB - An elastic-biphasic model for the simulation of the periodontal ligament (PDL) and the adjacent tooth is presented and investigated. The PDL is modelled as a biphasic material following the work of Ehlers and Markert (2001), whereas the tooth is modelled as a linear elastic body. A spatial discretisation scheme is proposed based on mixed finite elements for the spatial discretisation. Due to nonlinearity in the model, a predictor-corrector scheme is employed as a temporal discretisation scheme. In order to validate the PDL model, in vitro measurements are compared with numerical simulations. The numerical simulations are performed using geometries resulting from micro-CT scanner of the same porcine tooth, which was employed for the invitro measurements.

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KW - partial differential equation

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Validation of a heterogeneous elastic-biphasic model for the numerical simulation of the PDL

Abstract

Keywords

ASJC Scopus subject areas

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