CNRS, Laboratoire Modélisation et Simulation Multi-Échelle, MSME UMR 8208 CNRS, 61 avenue du Général de Gaulle, 94010 Créteil Cedex, France.
Université Paris-Est, Laboratoire Modélisation et Simulation Multi Echelle, MSME UMR 8208 CNRS, 61 avenue du Général de Gaulle, 94010 Créteil Cedex, France.
J Acoust Soc Am. 2019 Jun;145(6):3370. doi: 10.1121/1.5109668.
Quantitative ultrasound can be used to characterize the evolution of the bone-implant interface (BII), which is a complex system due to the implant surface roughness and to partial contact between bone and the implant. The aim of this study is to derive the main determinants of the ultrasonic response of the BII during osseointegration phenomena. The influence of (i) the surface roughness parameters and (ii) the thickness W of a soft tissue layer on the reflection coefficient r of the BII was investigated using a two-dimensional finite element model. When W increases from 0 to 150 μm, r increases from values in the range [0.45; 0.55] to values in the range [0.75; 0.88] according to the roughness parameters. An optimization method was developed to determine the sinusoidal roughness profile leading to the most similar ultrasonic response for all values of W compared to the original profile. The results show that the difference between the ultrasonic responses of the optimal sinusoidal profile and of the original profile was lower to typical experimental errors. This approach provides a better understanding of the ultrasonic response of the BII, which may be used in future numerical simulation realized at the scale of an implant.
定量超声可用于描述骨-植入物界面 (BII) 的演变，由于植入物表面粗糙度和骨与植入物之间的部分接触，该界面是一个复杂的系统。本研究旨在推导出骨整合现象过程中 BII 超声响应的主要决定因素。使用二维有限元模型研究了（i）表面粗糙度参数和（ii）软组织层厚度 W 对 BII 反射系数 r 的影响。当 W 从 0 增加到 150μm 时，根据粗糙度参数，r 值从 [0.45；0.55] 的范围增加到 [0.75；0.88] 的范围。开发了一种优化方法来确定正弦形粗糙度轮廓，该轮廓与原始轮廓相比，在所有 W 值下都能产生最相似的超声响应。结果表明，与原始轮廓相比，最优正弦形轮廓的超声响应之间的差异更小，接近典型的实验误差。该方法提供了对 BII 超声响应的更好理解，这可能用于未来在植入物尺度上进行的数值模拟。
