INEGI, Institute of Science and Innovation in Mechanical and Industrial Engineering, Rua Dr. Roberto Frias, 400, 4200-465, Porto, Portugal.
Mechanical Engineering Department, Faculty of Engineering of the University of Porto, FEUP, Rua Dr. Roberto Frias, S/N, 4200-465, Porto, Portugal.
Int J Numer Method Biomed Eng. 2019 Jun;35(6):e3196. doi: 10.1002/cnm.3196. Epub 2019 Mar 26.
Bone remodeling remains a highly researched topic investigated by many strands of science. The main purpose of this work is formulating a new computational framework for biological simulation, extending the version of the bone remodeling model previously proposed by Komarova. Thus, considering only the biological aspect of the remodeling process, the action of osteoclasts and osteoblasts is taken into account as well as its impact on bone mass. It is conducted a spatiotemporal analysis of a remodeling cycle obtaining a dynamic behavior of bone cells very similar to the biological process already described in the literature. The numerical example used is based on bone images obtained with scanning electron microscopy. During simulation, it is possible to observe the variation of bone's architecture through isomaps. These maps are obtained through the combination of biological bone remodeling models with three distinct numerical techniques-finite element method (FEM), radial point interpolation method (RPIM), and natural neighbor radial point interpolation method (NNRPIM). A study combining these numerical techniques allows to compare their performance. Ultimately, this work supports the inclusion of meshless methods due to their smoother results and its easiness to be combined with medical images from CT scans and MRI.
骨骼重塑仍然是一个备受关注的研究课题，吸引了众多科学领域的研究。本工作的主要目的是为生物模拟制定一个新的计算框架，扩展 Komarova 之前提出的骨重塑模型版本。因此，仅考虑重塑过程的生物学方面，同时考虑了破骨细胞和成骨细胞的作用及其对骨量的影响。通过对重塑周期进行时空分析，获得了与文献中已经描述的生物学过程非常相似的骨细胞动态行为。所使用的数值示例基于用扫描电子显微镜获得的骨图像。在模拟过程中，可以通过等距图观察骨结构的变化。这些地图是通过将生物骨重塑模型与三种不同的数值技术（有限元法 (FEM)、径向点插值法 (RPIM) 和自然邻居径向点插值法 (NNRPIM)）相结合而获得的。结合这些数值技术的研究可以比较它们的性能。最终，由于其更平滑的结果及其易于与 CT 扫描和 MRI 的医学图像相结合，这项工作支持采用无网格方法。
