A Theoretical Study on the Mechanical Significance of Mineralized Collagen Fibril Orientation in Osteonal Lamellar Bone

Feride Şermin Utku

doi:10.29130/dubited.761512

TR EN

Osteonal Lamellar Kemikte Mineralize Kolajen Fibril Yönlenmesinin Mekanik Önemi Üzerine Teorik Çalışma

Abstract

Bu çalışmada, dehidrasyon-rehidrasyon sonrasında lameler kemik örneklerinden elde edilen veriler kullanılarak, mineralize kolajen fibril yönlenmesinin kemiğin mekanik özelliklerine olan etkisi incelenmiştir. Dehidrasyon-rehidrasyon sonrasında kemiğin osteonal eksenine paralel olan ve dik kesen yönlerde deneysel olarak gelişen çekme kullanılarak, kemiğin anizotropik özellikleri hesaplanmıştır. Sublameller kemik modelinde mineralize kolajen fibrilleri katmanlar halinde ve 5 derecelik açılarla rotasyon yapacak şekilde modellenmiştir. Bu modele göre, mineralize kolajen tabakaları, transformasyon matrisi kullanılarak ortogonal eksenlere 5° açı yapacak şekilde dönüştürülmüştür. Dehidrasyon sonucunda fibril çapı mineral doğrultusunda daralmış, çekmeye bağlı bir deplasman vektörü oluşturmuştur. Vektörlerin x, y ve z eksenlerindeki izdüşümleri, u, v ve w deplasmanları hesaplanarak, 0,15266-6,55054 aralığında anizotropi oranları bulunmuştur. Literatürdeki deneysel nanoindentasyon verileriyle kıyaslandığında, sonuçlar, sublamellerin yaklaşık 20 derecelik açılarla düzenlenmiş olabileceğini göstermiştir. Anizotropi deneylerinin bir unsuru olan lateral indentasyon farklı oranlarda u ve v deplasmanları içerebileceğinden, lateral indentasyon açısı modelin yapısal özellikleri bağlamında değerlendirilmiştir. Bu değerlendirmenin sonucunda, v deplasmanının lateral çekmeye u deplasmanından daha fazla katkıda bulunduğu görülmektedir. Bulgular, mineralize kolajen fibrillerinin sublamellar düzenlenmesinin kemiğin anizotropisine olan önemli katksını göstermektedir.

Keywords

anizotropi oranları, transformasyon matrisi, büzülme vektörü, mineralize kolajen fibrili yönlenmesi

A Theoretical Study on the Mechanical Significance of Mineralized Collagen Fibril Orientation in Osteonal Lamellar Bone

Abstract

In this study, the effect of orientation of mineralized collagen fibrils on bone mechanical properties relating to bone anisotropy was studied using data obtained from rehydrated lamellar bone samples. The dehydration-rehydration based and experimentally determined contraction, observed in orientations parallel and perpendicular to the osteonal axis was used to calculate bone anisotropy. The sublamellar bone model, with the layered mineralized collagen fibrils rotating at 5° was used. Following this model, the mineralized collagen layers were transformed at 5° relative to the orthogonal axes using a transform matrix. With dehydration, fibril diameter was reduced towards the mineral, forming contraction vectors. The x, y and z intercepts for these vectors were then calculated to give the u, v and w displacements, which gave anisotropy ratios ranging from 0.15266 to 6.55054. Compared with the experimental nanoindentation findings in the literature, there may be an indication of a correlation with the results of sublamellar arrangement at 20° angles. As the lateral indentation used in the anisotropy experiments may involve varying amounts of u and v displacements, the aspect angle of lateral indentation was evaluated in relation to the structural features of the model. This evaluation indicated the larger contribution of v displacement and thus relatively much smaller contribution of u displacement to lateral contraction. These findings indicate the significant effect of the mineralized collagen fibril arrangement on bone anisotropy.

Keywords

contraction, mineralized collagen fibril orientation, anisotropy ratio, transformation matrix

Thanks

I would like to thank Dr. Onur Cem Namlı, from the Mechanical Engineering Department, Yeditepe University, Istanbul, Turkey, for his valuable contribution to the confirmation of the results by computation and preliminary reading of this paper.

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Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Feride Şermin Utku ^*
0000-0002-5143-3602
Türkiye

Publication Date

May 29, 2021

Submission Date

July 2, 2020

Acceptance Date

April 6, 2021

Published in Issue

Year 2021 Volume: 9 Number: 3

DOI

https://doi.org/10.29130/dubited.761512

IZ

https://izlik.org/JA73FD88YB

APA

Utku, F. Ş. (2021). A Theoretical Study on the Mechanical Significance of Mineralized Collagen Fibril Orientation in Osteonal Lamellar Bone. Duzce University Journal of Science and Technology, 9(3), 24-33. https://doi.org/10.29130/dubited.761512

AMA

1.Utku FŞ. A Theoretical Study on the Mechanical Significance of Mineralized Collagen Fibril Orientation in Osteonal Lamellar Bone. DUBİTED. 2021;9(3):24-33. doi:10.29130/dubited.761512

Chicago

Utku, Feride Şermin. 2021. “A Theoretical Study on the Mechanical Significance of Mineralized Collagen Fibril Orientation in Osteonal Lamellar Bone”. Duzce University Journal of Science and Technology 9 (3): 24-33. https://doi.org/10.29130/dubited.761512.

EndNote

Utku FŞ (May 1, 2021) A Theoretical Study on the Mechanical Significance of Mineralized Collagen Fibril Orientation in Osteonal Lamellar Bone. Duzce University Journal of Science and Technology 9 3 24–33.

IEEE

[1]F. Ş. Utku, “A Theoretical Study on the Mechanical Significance of Mineralized Collagen Fibril Orientation in Osteonal Lamellar Bone”, DUBİTED, vol. 9, no. 3, pp. 24–33, May 2021, doi: 10.29130/dubited.761512.

ISNAD

Utku, Feride Şermin. “A Theoretical Study on the Mechanical Significance of Mineralized Collagen Fibril Orientation in Osteonal Lamellar Bone”. Duzce University Journal of Science and Technology 9/3 (May 1, 2021): 24-33. https://doi.org/10.29130/dubited.761512.

JAMA

1.Utku FŞ. A Theoretical Study on the Mechanical Significance of Mineralized Collagen Fibril Orientation in Osteonal Lamellar Bone. DUBİTED. 2021;9:24–33.

MLA

Utku, Feride Şermin. “A Theoretical Study on the Mechanical Significance of Mineralized Collagen Fibril Orientation in Osteonal Lamellar Bone”. Duzce University Journal of Science and Technology, vol. 9, no. 3, May 2021, pp. 24-33, doi:10.29130/dubited.761512.

Vancouver

1.Feride Şermin Utku. A Theoretical Study on the Mechanical Significance of Mineralized Collagen Fibril Orientation in Osteonal Lamellar Bone. DUBİTED. 2021 May 1;9(3):24-33. doi:10.29130/dubited.761512

Cited By

Approximation of the Role of Mineralized Collagen Fibril Orientation in the Mechanical Properties of Bone: A Computational Study on Dehydrated Osteonal Lamellar Bone

Minerals

https://doi.org/10.3390/min14111107