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Research Papers

Estimation of Local Bone Loads for the Volume of Interest

[+] Author and Article Information
Jung Jin Kim

The Cho Chun Shik Graduate
School for Green Transportation,
Korea Advanced Institute of Science and
Technology,
373-1, Guseong-dong,
Yuseong-gu, Daejon 305-701, South Korea
e-mail: kjj4537@kaist.ac.kr

Youkyung Kim

The Cho Chun Shik Graduate
School for Green Transportation,
Korea Advanced Institute of
Science and Technology,
373-1, Guseong-dong,
Yuseong-gu, Daejon 305-701, South Korea
e-mail: swantom30@naver.com

In Gwun Jang

The Cho Chun Shik Graduate
School for Green Transportation,
Korea Advanced Institute of Science and
Technology,
373-1, Guseong-dong,
Yuseong-gu, Daejon 305-701, South Korea
e-mail: igjang@kaist.edu

1Corresponding author.

Manuscript received September 17, 2015; final manuscript received April 13, 2016; published online June 7, 2016. Assoc. Editor: David Corr.

J Biomech Eng 138(7), 071004 (Jun 07, 2016) (8 pages) Paper No: BIO-15-1458; doi: 10.1115/1.4033478 History: Received September 17, 2015; Revised April 13, 2016

Computational bone remodeling simulations have recently received significant attention with the aid of state-of-the-art high-resolution imaging modalities. They have been performed using localized finite element (FE) models rather than full FE models due to the excessive computational costs of full FE models. However, these localized bone remodeling simulations remain to be investigated in more depth. In particular, applying simplified loading conditions (e.g., uniform and unidirectional loads) to localized FE models have a severe limitation in a reliable subject-specific assessment. In order to effectively determine the physiological local bone loads for the volume of interest (VOI), this paper proposes a novel method of estimating the local loads when the global musculoskeletal loads are given. The proposed method is verified for the three VOI in a proximal femur in terms of force equilibrium, displacement field, and strain energy density (SED) distribution. The effect of the global load deviation on the local load estimation is also investigated by perturbing a hip joint contact force (HCF) in the femoral head. Deviation in force magnitude exhibits the greatest absolute changes in a SED distribution due to its own greatest deviation, whereas angular deviation perpendicular to a HCF provides the greatest relative change. With further in vivo force measurements and high-resolution clinical imaging modalities, the proposed method will contribute to the development of reliable patient-specific localized FE models, which can provide enhanced computational efficiency for iterative computing processes such as bone remodeling simulations.

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Figures

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Fig. 1

Schematic procedure of local bone load estimation: (a) Step 1: a full FE model with the predetermined global loads. The red dotted box represents the VOI, (b) Step 2: a local FE model for the VOI. The cut boundary displacement obtained in Step 1 is imposed on the boundary of the local model, and (c) Step 3: a local FE model with the estimated local loads.

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Fig. 2

Locations of the three volumes of interest in the proximal femur: (a) femoral head, (b) femoral neck, and (c) intertrochanter. Note that white and black colors correspond to the maximum and minimum BMDs, respectively.

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Fig. 3

SED contour plots of the VOIs. Left and middle columns represent a full model with the given global loads and a local model with the estimated local loads, respectively. Right column illustrates the discrepancy of SEDs between full and local models.

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Fig. 4

Discrepancy of SED distributions of a local model for the femoral head according to the deviation of the HCF: (a)(absolute  change )=|(data  of a perturbed  load)-(data  ofthe original  load)|; (b) (relative  change)=|(data  of aperturbedload)-(data   of the original  load)/(perturbedload)-(originalload)|

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Fig. 5

Estimated local loads on the three cut planes of the VOI in the femoral head

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