Probabilistic analysis of mechanical behaviour of mandibular trabecular bone using a calibrated stochastic homogenization model

Daisuke Tawara, Masahiro Nagahata, Naoki Takano, Hideaki Kinoshita, Shinichi Abe

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Surgical success of drilling in oral implantology depends on the sense of force on the fingers or feeling of a dental clinician, which is related to the quality of trabecular bone in the jawbone expressed by apparent mechanical characteristics. As the mechanical properties of trabecular bone depend on the bone volume fraction, microstructure, and many other factors closely related to individual differences, a probabilistic numerical procedure to assess drilling force is proposed. Using a micro-CT-based jawbone model, a first-order perturbation-based stochastic homogenization method was employed to estimate the possible scattering of apparent mechanical properties of the trabecular bone region. The complicated drilling problem was simplified to sequential linear static FEAs, to which the predicted apparent Young’s modulus and shearing moduli in the drilling direction were applied. The FEAs demonstrated that the homogenized mechanical properties showed anisotropy, which might lead to differences in the drilling forces at different drilling angles. The numerically estimated drilling forces were shown by the expected value, 50 %-probability result, and 90%-probability result and revealed that one patient among two or ten patients would probably have poor bone quality. There was a remarkable difference in the drilling forces between the expected value and the 90%-probability result.

Original languageEnglish
Pages (from-to)3275-3287
Number of pages13
JournalActa Mechanica
Volume226
Issue number10
DOIs
Publication statusPublished - 2015 May 23

Fingerprint

Drilling
Bone
Mechanical properties
Homogenization method
Finite element method
Shearing
Volume fraction
Anisotropy
Elastic moduli
Scattering
Microstructure

ASJC Scopus subject areas

  • Mechanical Engineering
  • Computational Mechanics

Cite this

Probabilistic analysis of mechanical behaviour of mandibular trabecular bone using a calibrated stochastic homogenization model. / Tawara, Daisuke; Nagahata, Masahiro; Takano, Naoki; Kinoshita, Hideaki; Abe, Shinichi.

In: Acta Mechanica, Vol. 226, No. 10, 23.05.2015, p. 3275-3287.

Research output: Contribution to journalArticle

Tawara, Daisuke ; Nagahata, Masahiro ; Takano, Naoki ; Kinoshita, Hideaki ; Abe, Shinichi. / Probabilistic analysis of mechanical behaviour of mandibular trabecular bone using a calibrated stochastic homogenization model. In: Acta Mechanica. 2015 ; Vol. 226, No. 10. pp. 3275-3287.
@article{6badbc3b512a4d28a32a43ab0178cdc7,
title = "Probabilistic analysis of mechanical behaviour of mandibular trabecular bone using a calibrated stochastic homogenization model",
abstract = "Surgical success of drilling in oral implantology depends on the sense of force on the fingers or feeling of a dental clinician, which is related to the quality of trabecular bone in the jawbone expressed by apparent mechanical characteristics. As the mechanical properties of trabecular bone depend on the bone volume fraction, microstructure, and many other factors closely related to individual differences, a probabilistic numerical procedure to assess drilling force is proposed. Using a micro-CT-based jawbone model, a first-order perturbation-based stochastic homogenization method was employed to estimate the possible scattering of apparent mechanical properties of the trabecular bone region. The complicated drilling problem was simplified to sequential linear static FEAs, to which the predicted apparent Young’s modulus and shearing moduli in the drilling direction were applied. The FEAs demonstrated that the homogenized mechanical properties showed anisotropy, which might lead to differences in the drilling forces at different drilling angles. The numerically estimated drilling forces were shown by the expected value, 50 {\%}-probability result, and 90{\%}-probability result and revealed that one patient among two or ten patients would probably have poor bone quality. There was a remarkable difference in the drilling forces between the expected value and the 90{\%}-probability result.",
author = "Daisuke Tawara and Masahiro Nagahata and Naoki Takano and Hideaki Kinoshita and Shinichi Abe",
year = "2015",
month = "5",
day = "23",
doi = "10.1007/s00707-015-1381-8",
language = "English",
volume = "226",
pages = "3275--3287",
journal = "Acta Mechanica",
issn = "0001-5970",
publisher = "Springer Wien",
number = "10",

}

TY - JOUR

T1 - Probabilistic analysis of mechanical behaviour of mandibular trabecular bone using a calibrated stochastic homogenization model

AU - Tawara, Daisuke

AU - Nagahata, Masahiro

AU - Takano, Naoki

AU - Kinoshita, Hideaki

AU - Abe, Shinichi

PY - 2015/5/23

Y1 - 2015/5/23

N2 - Surgical success of drilling in oral implantology depends on the sense of force on the fingers or feeling of a dental clinician, which is related to the quality of trabecular bone in the jawbone expressed by apparent mechanical characteristics. As the mechanical properties of trabecular bone depend on the bone volume fraction, microstructure, and many other factors closely related to individual differences, a probabilistic numerical procedure to assess drilling force is proposed. Using a micro-CT-based jawbone model, a first-order perturbation-based stochastic homogenization method was employed to estimate the possible scattering of apparent mechanical properties of the trabecular bone region. The complicated drilling problem was simplified to sequential linear static FEAs, to which the predicted apparent Young’s modulus and shearing moduli in the drilling direction were applied. The FEAs demonstrated that the homogenized mechanical properties showed anisotropy, which might lead to differences in the drilling forces at different drilling angles. The numerically estimated drilling forces were shown by the expected value, 50 %-probability result, and 90%-probability result and revealed that one patient among two or ten patients would probably have poor bone quality. There was a remarkable difference in the drilling forces between the expected value and the 90%-probability result.

AB - Surgical success of drilling in oral implantology depends on the sense of force on the fingers or feeling of a dental clinician, which is related to the quality of trabecular bone in the jawbone expressed by apparent mechanical characteristics. As the mechanical properties of trabecular bone depend on the bone volume fraction, microstructure, and many other factors closely related to individual differences, a probabilistic numerical procedure to assess drilling force is proposed. Using a micro-CT-based jawbone model, a first-order perturbation-based stochastic homogenization method was employed to estimate the possible scattering of apparent mechanical properties of the trabecular bone region. The complicated drilling problem was simplified to sequential linear static FEAs, to which the predicted apparent Young’s modulus and shearing moduli in the drilling direction were applied. The FEAs demonstrated that the homogenized mechanical properties showed anisotropy, which might lead to differences in the drilling forces at different drilling angles. The numerically estimated drilling forces were shown by the expected value, 50 %-probability result, and 90%-probability result and revealed that one patient among two or ten patients would probably have poor bone quality. There was a remarkable difference in the drilling forces between the expected value and the 90%-probability result.

UR - http://www.scopus.com/inward/record.url?scp=84941874017&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84941874017&partnerID=8YFLogxK

U2 - 10.1007/s00707-015-1381-8

DO - 10.1007/s00707-015-1381-8

M3 - Article

AN - SCOPUS:84941874017

VL - 226

SP - 3275

EP - 3287

JO - Acta Mechanica

JF - Acta Mechanica

SN - 0001-5970

IS - 10

ER -