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中性溶质跨骨软骨界面的转运:一种有限元方法。

Neutral solute transport across osteochondral interface: A finite element approach.

作者信息

Arbabi Vahid, Pouran Behdad, Weinans Harrie, Zadpoor Amir A

机构信息

Department of Biomechanical Engineering, Faculty of Mechanical, Maritime, and Materials Engineering, Delft University of Technology (TU Delft), Mekelweg 2, 2628CD Delft, The Netherlands; Department of Orthopedics, UMC Utrecht, Heidelberglaan100, 3584CX Utrecht, The Netherlands.

Department of Biomechanical Engineering, Faculty of Mechanical, Maritime, and Materials Engineering, Delft University of Technology (TU Delft), Mekelweg 2, 2628CD Delft, The Netherlands; Department of Orthopedics, UMC Utrecht, Heidelberglaan100, 3584CX Utrecht, The Netherlands.

出版信息

J Biomech. 2016 Dec 8;49(16):3833-3839. doi: 10.1016/j.jbiomech.2016.10.015. Epub 2016 Oct 19.

Abstract

Investigation of the solute transfer across articular cartilage and subchondral bone plate could nurture the understanding of the mechanisms of osteoarthritis (OA) progression. In the current study, we approached the transport of neutral solutes in human (slight OA) and equine (healthy) samples using both computed tomography and biphasic-solute finite element modeling. We developed a multi-zone biphasic-solute finite element model (FEM) accounting for the inhomogeneity of articular cartilage (superficial, middle and deep zones) and subchondral bone plate. Fitting the FEM model to the concentration-time curves of the cartilage and the equilibrium concentration of the subchondral plate/calcified cartilage enabled determination of the diffusion coefficients in the superficial, middle and deep zones of cartilage and subchondral plate. We found slightly higher diffusion coefficients for all zones in the human samples as compared to the equine samples. Generally the diffusion coefficient in the superficial zone of human samples was about 3-fold higher than the middle zone, the diffusion coefficient of the middle zone was 1.5-fold higher than that of the deep zone, and the diffusion coefficient of the deep zone was 1.5-fold higher than that of the subchondral plate/calcified cartilage. Those ratios for equine samples were 9, 2 and 1.5, respectively. Regardless of the species considered, there is a gradual decrease of the diffusion coefficient as one approaches the subchondral plate, whereas the rate of decrease is dependent on the type of species.

摘要

研究溶质在关节软骨和软骨下骨板中的转运,有助于深入了解骨关节炎(OA)的进展机制。在本研究中,我们使用计算机断层扫描和双相溶质有限元模型,研究了人类(轻度OA)和马(健康)样本中中性溶质的转运情况。我们开发了一种多区域双相溶质有限元模型(FEM),该模型考虑了关节软骨(表层、中层和深层)和软骨下骨板的不均匀性。将FEM模型与软骨的浓度-时间曲线以及软骨下板/钙化软骨的平衡浓度进行拟合,可以确定软骨和软骨下板表层、中层和深层的扩散系数。我们发现,与马的样本相比,人类样本中所有区域的扩散系数略高。一般来说,人类样本表层的扩散系数比中层高约3倍,中层的扩散系数比深层高1.5倍,深层的扩散系数比软骨下板/钙化软骨高1.5倍。马样本的这些比率分别为9、2和1.5。无论考虑哪种物种,随着接近软骨下板,扩散系数都会逐渐降低,而降低的速率取决于物种类型。

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