亚微米尺度下骨弹性特性的层次建模：纤维外矿化的作用。
Hierarchical modeling of the elastic properties of bone at submicron scales: the role of extrafibrillar mineralization.
作者信息
Nikolov Svetoslav, Raabe Dierk
机构信息
Max-Planck-Institut für Eisenforschung, Department of Microstructure Physics and Metal Forming, Düsseldorf, Germany.
出版信息
Biophys J. 2008 Jun;94(11):4220-32. doi: 10.1529/biophysj.107.125567. Epub 2008 Feb 29.
Abstract
We model the elastic properties of bone at the level of mineralized collagen fibrils via step-by-step homogenization from the staggered arrangement of collagen molecules up to an array of parallel mineralized fibrils. A new model for extrafibrillar mineralization is proposed, assuming that the extrafibrillar minerals are mechanically equivalent to reinforcing rings coating each individual fibril. Our modeling suggests that no more than 30% of the total mineral content is extrafibrillar and the fraction of extrafibrillar minerals grows linearly with the overall degree of mineralization. It is shown that the extrafibrillar mineralization considerably reinforces the fibrils' mechanical properties in the transverse directions and the fibrils' shear moduli. The model predictions for the elastic moduli and constants are found to be in a good agreement with the experimental data reported in the literature.
摘要
我们通过从胶原分子的交错排列到平行矿化纤维阵列的逐步均匀化，对矿化胶原纤维水平的骨弹性特性进行建模。提出了一种新的纤维外矿化模型，假设纤维外矿物质在力学上等同于包裹每个单独纤维的增强环。我们的建模表明，纤维外矿物质含量不超过总矿物质含量的30%，且纤维外矿物质的比例随整体矿化程度呈线性增长。结果表明，纤维外矿化显著增强了纤维在横向方向的力学性能以及纤维的剪切模量。发现弹性模量和常数的模型预测与文献报道的实验数据吻合良好。
相似文献
1
Hierarchical modeling of the elastic properties of bone at submicron scales: the role of extrafibrillar mineralization.亚微米尺度下骨弹性特性的层次建模：纤维外矿化的作用。
Biophys J. 2008 Jun;94(11):4220-32. doi: 10.1529/biophysj.107.125567. Epub 2008 Feb 29.
2
Elastic deformation of mineralized collagen fibrils: an equivalent inclusion based composite model.矿化胶原纤维的弹性变形：基于等效夹杂的复合材料模型。
J Biomech Eng. 2005 Jun;127(3):383-90. doi: 10.1115/1.1894204.
3
Can a continuous mineral foam explain the stiffening of aged bone tissue? A micromechanical approach to mineral fusion in musculoskeletal tissues.持续的矿物泡沫能否解释老化骨组织的硬化？一种研究肌肉骨骼组织中矿物融合的微观力学方法。
Bioinspir Biomim. 2016 May 19;11(3):035004. doi: 10.1088/1748-3190/11/3/035004.
4
Sensitivity analysis and parametric study of elastic properties of an unidirectional mineralized bone fibril-array using mean field methods.采用平均场方法对单向矿化骨纤维阵列弹性性能的敏感性分析和参数研究。
Biomech Model Mechanobiol. 2010 Oct;9(5):499-510. doi: 10.1007/s10237-010-0190-1. Epub 2010 Feb 5.
5
Physically based 3D finite element model of a single mineralized collagen microfibril.基于物理的单矿化胶原微纤维的 3D 有限元模型。
J Theor Biol. 2012 May 21;301:28-41. doi: 10.1016/j.jtbi.2012.02.007. Epub 2012 Feb 18.
6
A finite element study evaluating the influence of mineralization distribution and content on the tensile mechanical response of mineralized collagen fibril networks.一种评估矿化分布和含量对矿化胶原纤维网络拉伸力学响应影响的有限元研究。
J Mech Behav Biomed Mater. 2019 Dec;100:103361. doi: 10.1016/j.jmbbm.2019.07.019. Epub 2019 Jul 20.
7
Relation of collagen fiber orientation to some mechanical properties of human cortical bone.胶原纤维取向与人类皮质骨某些力学性能的关系。
J Biomech. 1969 Mar;2(1):63-71. doi: 10.1016/0021-9290(69)90042-6.
8
Significant deterioration in nanomechanical quality occurs through incomplete extrafibrillar mineralization in rachitic bone: evidence from in-situ synchrotron X-ray scattering and backscattered electron imaging.在佝偻病骨中，由于纤维外矿化不完全，纳米力学质量显著恶化：来自同步辐射 X 射线散射和背散射电子成像的证据。
J Bone Miner Res. 2012 Apr;27(4):876-90. doi: 10.1002/jbmr.1495.
9
An efficient two-scale 3D FE model of the bone fibril array: comparison of anisotropic elastic properties with analytical methods and micro-sample testing.一种高效的骨骼原纤维排列的两尺度 3D FE 模型：各向异性弹性性能与分析方法和微样本测试的比较。
Biomech Model Mechanobiol. 2020 Dec;19(6):2127-2147. doi: 10.1007/s10237-020-01328-1. Epub 2020 Apr 24.
10
Role of intrafibrillar collagen mineralization in defining the compressive properties of nascent bone.纤维内胶原矿化在定义初生骨压缩性能中的作用。
Biomacromolecules. 2014 Jul 14;15(7):2494-500. doi: 10.1021/bm5003416. Epub 2014 Jun 23.
引用本文的文献
1
Analysis of Biomechanical Characteristics of Bone Tissues Using a Bayesian Neural Network: A Narrative Review.使用贝叶斯神经网络分析骨组织的生物力学特性：一篇综述。
J Funct Biomater. 2025 May 8;16(5):168. doi: 10.3390/jfb16050168.
2
Elucidating the role of diverse mineralisation paradigms on bone biomechanics - a coarse-grained molecular dynamics investigation.阐明不同矿化模式对骨骼生物力学的作用——粗粒分子动力学研究。
Nanoscale. 2024 Feb 8;16(6):3173-3184. doi: 10.1039/d3nr04660e.
3
A coarse-grained molecular dynamics investigation of the role of mineral arrangement on the mechanical properties of mineralized collagen fibrils.粗粒化分子动力学研究矿物质排列对矿化胶原原纤维力学性能的作用。
J R Soc Interface. 2023 Jan;20(198):20220803. doi: 10.1098/rsif.2022.0803. Epub 2023 Jan 25.
4
A computational study of mechanical properties of collagen-based bio-composites.基于胶原蛋白的生物复合材料力学性能的计算研究。
Int Biomech. 2020 Dec;7(1):76-87. doi: 10.1080/23335432.2020.1812428.
5
Remineralization of demineralized dentin using a dual analog system.使用双模拟系统对脱矿牙本质进行再矿化。
Orthod Craniofac Res. 2019 May;22 Suppl 1(Suppl 1):76-81. doi: 10.1111/ocr.12271.
6
A 3D Model of the Effect of Tortuosity and Constrictivity on the Diffusion in Mineralized Collagen Fibril.矿化胶原纤维中迂曲度和狭窄度对扩散影响的 3D 模型。
Sci Rep. 2019 Feb 25;9(1):2658. doi: 10.1038/s41598-019-39297-w.
7
Influence of fluoride on the mineralization of collagen via the polymer-induced liquid-precursor (PILP) process.氟化物通过聚合物诱导的液体前体（PILP）过程对胶原蛋白矿化的影响。
Dent Mater. 2018 Sep;34(9):1378-1390. doi: 10.1016/j.dental.2018.06.020. Epub 2018 Jun 21.
8
X-ray diffraction as a promising tool to characterize bone nanocomposites.X射线衍射作为一种表征骨纳米复合材料的有前途的工具。
Sci Technol Adv Mater. 2012 Jan 13;12(6):064708. doi: 10.1088/1468-6996/12/6/064708. eCollection 2011 Dec.
9
Calcium orthophosphates (CaPO): occurrence and properties.正磷酸钙（CaPO）：存在与性质
Prog Biomater. 2016;5:9-70. doi: 10.1007/s40204-015-0045-z. Epub 2015 Nov 19.
10
Connection between elastic and electrical properties of cortical bone.皮质骨弹性与电学性质之间的联系。
J Biomech. 2016 Mar 21;49(5):765-772. doi: 10.1016/j.jbiomech.2016.02.019. Epub 2016 Feb 15.
本文引用的文献
1
In situ observation of fluoride-ion-induced hydroxyapatite-collagen detachment on bone fracture surfaces by atomic force microscopy.通过原子力显微镜对骨折表面氟离子诱导的羟基磷灰石-胶原蛋白分离进行原位观察。
Nanotechnology. 2007 Apr 4;18(13):135102. doi: 10.1088/0957-4484/18/13/135102. Epub 2007 Feb 28.
2
Cooperative deformation of mineral and collagen in bone at the nanoscale.纳米尺度下骨中矿物质与胶原蛋白的协同变形
Proc Natl Acad Sci U S A. 2006 Nov 21;103(47):17741-6. doi: 10.1073/pnas.0604237103. Epub 2006 Nov 9.
3
'Universal' microstructural patterns in cortical and trabecular, extracellular and extravascular bone materials: micromechanics-based prediction of anisotropic elasticity.皮质骨与小梁骨、细胞外及血管外骨材料中的“通用”微观结构模式：基于微观力学的各向异性弹性预测
J Theor Biol. 2007 Feb 21;244(4):597-620. doi: 10.1016/j.jtbi.2006.09.013. Epub 2006 Sep 17.
4
Elastic deformation of mineralized collagen fibrils: an equivalent inclusion based composite model.矿化胶原纤维的弹性变形：基于等效夹杂的复合材料模型。
J Biomech Eng. 2005 Jun;127(3):383-90. doi: 10.1115/1.1894204.
5
Sacrificial bonds and hidden length dissipate energy as mineralized fibrils separate during bone fracture.在骨折过程中，当矿化原纤维分离时，牺牲键和隐藏长度会消耗能量。
Nat Mater. 2005 Aug;4(8):612-6. doi: 10.1038/nmat1428. Epub 2005 Jul 17.
6
Molecular assessment of the elastic properties of collagen-like homotrimer sequences.类胶原同源三聚体序列弹性特性的分子评估
Biomech Model Mechanobiol. 2005 Jun;3(4):224-34. doi: 10.1007/s10237-004-0064-5. Epub 2005 Apr 12.
7
Atomic force microscopic studies on the structure of bovine femoral cortical bone at the collagen fibril-mineral level.在胶原纤维 - 矿物质水平上对牛股骨皮质骨结构的原子力显微镜研究。
J Mater Sci Mater Med. 2002 Mar;13(3):333-7. doi: 10.1023/a:1014079421895.
8
High-resolution AFM imaging of intact and fractured trabecular bone.完整和骨折的小梁骨的高分辨率原子力显微镜成像。
Bone. 2004 Jul;35(1):4-10. doi: 10.1016/j.bone.2004.02.024.
9
A combined atomic force microscopy and nanoindentation technique to investigate the elastic properties of bone structural units.一种结合原子力显微镜和纳米压痕技术来研究骨结构单元的弹性特性。
Eur Cell Mater. 2001 Jan 10;1:12-7. doi: 10.22203/ecm.v001a02.
10
TEM analysis of the nanostructure of normal and osteoporotic human trabecular bone.
Bone. 2003 Sep;33(3):270-82. doi: 10.1016/s8756-3282(03)00194-7.
Zotero 插件