论文标题

椎体成形术的连续机械多孔介质模型:数值模拟和实验验证

A continuum mechanical porous media model for vertebroplasty: Numerical simulations and experimental validation

论文作者

Trivedi, Zubin, Gehweiler, Dominic, Wychowaniec, Jacek K., Ricken, Tim, Gueorguiev, Boyko, Wagner, Arndt, Röhrle, Oliver

论文摘要

椎骨成形术的结果由于其对骨水泥和骨髓流变学等复杂因素的依赖而难以预测。如果操作不正确地进行,可能会发生水泥泄漏,并可能导致不良并发症。可靠的模拟可以在术前预测患者特定的结果,并避免水泥泄漏的风险。因此,这项工作的目的是引入一个在计算上可行且经过实验验证的模型,以模拟椎体成形术。开发的模型是基于多孔介质理论的多相连续机械宏观尺度模型。使用所谓的盒子离散化使用合并的有限元 - 有限体积方法将相关的管理方程式离散。使用三种不同的流变学上尺度方法来比较和确定最适合此应用的方法。为了验证,使用模型建立了基准实验并模拟。研究了骨髓和参数(如渗透率,孔隙率等)的影响,以研究不同条件对椎体成形术的影响。当与正确的流变学上尺度模型一起使用时,所提出的模型可以实际模拟多孔材料中的骨水泥注射,其中粘度的半分析平均效果给出了最佳效果。在椎骨成形术的背景下,骨髓粘度被确定为将骨水泥分类为高或低粘度的关键参考。可以证实,粘度高的水泥可确保注射的稳定发育和椎骨内部的适当水泥插入。

The outcome of vertebroplasty is hard to predict due to its dependence on complex factors like bone cement and marrow rheologies. Cement leakage could occur if the procedure is done incorrectly, potentially causing adverse complications. A reliable simulation could predict the patient-specific outcome preoperatively and avoid the risk of cement leakage. Therefore, the aim of this work was to introduce a computationally feasible and experimentally validated model for simulating vertebroplasty. The developed model is a multiphase continuum-mechanical macro-scale model based on the Theory of Porous Media. The related governing equations were discretized using a combined Finite Element - Finite Volume approach by the so-called Box discretization. Three different rheological upscaling methods were used to compare and determine the most suitable approach for this application. For validation, a benchmark experiment was set up and simulated using the model. The influence of bone marrow and parameters like permeability, porosity, etc., was investigated to study the effect of varying conditions on vertebroplasty. The presented model could realistically simulate the injection of bone cement in porous materials when used with the correct rheological upscaling models, of which the semi-analytical averaging of the viscosity gave the best results. The marrow viscosity is identified as the crucial reference to categorize bone cements as high- or low- viscosity in the context of vertebroplasty. It is confirmed that a cement with higher viscosity than the marrow ensures stable development of the injection and a proper cement interdigitation inside the vertebra.

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