CN104318009B - A design method of personalized intervertebral fusion device - Google Patents
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Abstract
本发明涉及一种个性化椎间融合器设计方法,所述方法将椎体进行CT扫描,然后将CT连续断层图像数据进行三维模型重建,并对椎体模型进行测量,包括测量椎体矢状径、椎体横状径、椎间隙高度等。在测量参数的基础上进行椎间融合器的个性化设计及植入,通过网格划分及平滑、材料赋值及边界条件设定等完成有限元模型的建立,最后进行有限元模型的求解与分析,为椎间融合器的优化改进提供依据,并最终实现既考虑几何匹配又考虑功能匹配的个性化椎间融合器的设计。
The invention relates to a method for designing a personalized intervertebral fusion device. In the method, the vertebral body is scanned by CT, and then the CT continuous tomographic image data is reconstructed into a three-dimensional model, and the vertebral body model is measured, including measuring the vertebral body sagittal diameter, vertebral body transverse diameter, intervertebral space height, etc. On the basis of the measured parameters, carry out the personalized design and implantation of the intervertebral fusion device, complete the establishment of the finite element model through mesh division and smoothing, material assignment and boundary condition setting, etc., and finally solve and analyze the finite element model , provide a basis for the optimization and improvement of intervertebral fusion, and finally realize the design of personalized intervertebral fusion considering both geometric matching and functional matching.
Description
技术领域technical field
本发明涉及一种个性化椎间融合器设计方法,更具体地说是涉及一种基于CT图像三维重建及测量技术、有限元分析技术对椎间融合器进行个性化设计的方法。The invention relates to a method for designing a personalized intervertebral fusion device, and more specifically relates to a method for individually designing an intervertebral fusion device based on CT image three-dimensional reconstruction and measurement technology and finite element analysis technology.
背景技术Background technique
在临床椎体间融合术中,椎间融合器的植入方式、大小、空间形状与神经损伤、植入稳定性、椎间植骨量密切相关。但是,因为患者生理参数和体内环境个性化特征的差异较大,标准化、批量化、序列化生产的椎间融合器与人体的相互作用难以最优化,导致一些椎间融合器进入体内后,发生过度磨损、疲劳失效等。因此,椎间融合器的设计必须是个性化的。椎间融合器在体内面临复杂的应力环境,这些应力既会影响椎间融合器自身结构的可靠性、也可影响椎间融合器功能的正常发挥和周围宿主组织的改重建,是椎间融合器成败的关键因素之一。因此,椎间融合器的性能不仅要考虑其材料选型、制备和表面改性,还应充分考虑其成为医疗器械的构型设计,以及它与周围宿主组织之间的相互作用。目前,大多数的椎间融合器的设计基于几何匹配需求,没有实现基于功能匹配设计。In clinical interbody fusion, the implantation method, size, and spatial shape of the intervertebral cage are closely related to nerve damage, implantation stability, and intervertebral bone graft volume. However, due to the large differences in the physiological parameters of patients and the individual characteristics of the internal environment, it is difficult to optimize the interaction between standardized, mass-produced, and serialized intervertebral fusion devices and the human body, resulting in some intervertebral fusion devices entering the body. Excessive wear, fatigue failure, etc. Therefore, the design of intervertebral fusion cages must be individualized. The intervertebral fusion cage faces a complex stress environment in the body. These stresses will not only affect the reliability of the intervertebral fusion cage itself, but also affect the normal function of the intervertebral fusion cage and the reconstruction of the surrounding host tissue. One of the key factors for the success or failure of the device. Therefore, the performance of intervertebral fusion should not only consider its material selection, preparation and surface modification, but also fully consider its configuration design as a medical device and its interaction with surrounding host tissues. At present, the design of most intervertebral fusion cages is based on geometric matching requirements, and the design based on functional matching has not been realized.
发明内容Contents of the invention
为了克服目前大多数的椎间融合器的设计基于几何匹配需求,没有实现基于功能匹配设计的问题,本发明公开了一种个性化椎间融合器设计方法,所述方法是通过利用CT三维重建技术,在数字化虚拟环境下还原脊椎的解剖学结构特征并进行三维测量,在此基础上进行椎间融合器的个性化设计及植入,运用个性化有限元分析技术对所设计的椎间融合器进行分析及改进。In order to overcome the problem that the design of most current intervertebral fusion devices is based on geometric matching requirements and does not realize the design based on functional matching, the present invention discloses a method for designing personalized intervertebral fusion devices. The method uses CT three-dimensional reconstruction Technology, restore the anatomical structure features of the spine in a digital virtual environment and perform three-dimensional measurement, on this basis, carry out the personalized design and implantation of the intervertebral fusion device, and use the personalized finite element analysis technology to analyze the designed intervertebral fusion Analyze and improve.
本发明根据实际需要,在所开发的软件CageDesigner中导入CT/MRI等图像数据,自动地进行脊柱椎体的分割,建立脊柱的几何模型,自动地进行模型的网格划分,并能模拟脊柱椎间融合手术过程及进行有限元分析,为椎间融合器的个性化设计提供参考。According to actual needs, the present invention imports image data such as CT/MRI into the developed software CageDesigner, automatically divides the vertebral body of the spine, establishes the geometric model of the spine, automatically divides the grid of the model, and can simulate the vertebral body of the spine. Intervertebral fusion surgery process and finite element analysis, to provide reference for the personalized design of intervertebral fusion device.
本发明公开了一种个性化椎间融合器设计方法,具体包括以下步骤:The invention discloses a method for designing a personalized intervertebral fusion device, which specifically comprises the following steps:
1)图像采集及预处理:将椎骨进行螺旋CT扫描,然后将CT扫描仪获取的椎骨的原始数据导入软件中并按照图像的编号对图像进行自动排序和判断。然后对导入的CT图像进行中值滤波、高斯滤波及二值化处理。1) Image acquisition and preprocessing: The vertebrae are scanned by spiral CT, and then the raw data of the vertebrae obtained by the CT scanner are imported into the software, and the images are automatically sorted and judged according to the number of the images. Then the imported CT images were processed by median filtering, Gaussian filtering and binarization.
2)椎体图像分割及三维模型的建立:首先在软件水平面视图区手动挑选一个初始片层来启动分割过程,手工绘制初始片层的椎体大致轮廓,然后采用水平集方法经过迭代获取初始片层的椎体精确轮廓。此后的分割过程将会以参考图层为起点从上、下两个方向对所有片层进行分割操作。由于椎体CT图像相邻片层目标的变化幅度较小,故可得用已处理片层的分割结果所得轮廓作为相邻片层的初始轮廓,然后运用水平集方法获取所有椎体的精确轮廓。最后,可采用手工方法对所获取的轮廓进行修正。对于分割的结果,采用体绘制方法进行绘制,并在窗口中进行显示。2) Segmentation of vertebral body image and establishment of 3D model: firstly, manually select an initial slice in the horizontal plane view area of the software to start the segmentation process, manually draw the outline of the vertebral body in the initial slice, and then use the level set method to iteratively obtain the initial slice The precise contour of the vertebral bodies of the layers. The subsequent segmentation process will start from the reference layer and perform segmentation operations on all slices from the upper and lower directions. Since the change range of the target in the adjacent slices of the vertebral CT image is small, the contours obtained from the segmentation results of the processed slices can be used as the initial contours of the adjacent slices, and then the level set method is used to obtain the accurate contours of all vertebral bodies . Finally, manual methods can be used to correct the acquired contours. For the segmentation results, the volume rendering method is used to draw and display in the window.
3)椎体模型测量:椎体矢状径和椎体横状径在椎体模型的上终板平面上进行获取。采用软件的剖切功能,剖切三维椎体模型,得到椎体模型上终板平面。在终板平面上找到平分椎体模型成左右两半的前-后轴,测量前-后轴与椎体模型边缘两交点间的距离,该距离即为椎体矢状径。测量与前-后轴相垂直的直线椎体模型边缘两交点间的距离,其中距离最大的即为椎体横状径。椎间隙的高度在椎体模型正中矢状面进行测量。在正中矢状面上手动获取椎体终板的前后边缘点以及终板中心点。测量上下椎体终板前缘点的距离即为椎间隙前缘高度,两椎体终板后缘点的距离即为椎间隙后缘高度,两终板中心点的距离即为椎间隙中心高度。3) Measurement of the vertebral body model: the vertebral body sagittal diameter and the vertebral body transverse diameter are acquired on the upper endplate plane of the vertebral body model. Using the sectioning function of the software, the three-dimensional vertebral body model was sectioned to obtain the upper endplate plane of the vertebral body model. Find the anterior-posterior axis bisecting the vertebral body model into left and right halves on the endplate plane, and measure the distance between the anterior-posterior axis and the edge of the vertebral body model, which is the sagittal diameter of the vertebral body. Measure the distance between two intersection points on the edge of the straight line vertebral body model perpendicular to the anterior-posterior axis, and the one with the largest distance is the transverse diameter of the vertebral body. The height of the intervertebral space was measured in the midsagittal plane of the vertebral model. The anterior and posterior edge points of the vertebral endplates and the center point of the endplates were manually obtained on the midsagittal plane. The distance between the anterior edge of the upper and lower vertebral body endplates is the height of the anterior edge of the intervertebral space, the distance between the posterior edge of the two vertebral body endplates is the height of the posterior edge of the intervertebral space, and the distance between the center points of the two endplates is the height of the center of the intervertebral space.
4)椎间融合器的设计及植入:在已有的椎间融合器模型库中,根据椎体的上缘解剖形态(曲线,平台),选择融合器的几何形状(弧度),根据椎间隙高度确定椎间融合器的高度,根据椎体横径,椎体矢径确定椎间融合器的长度与宽度。设计的原则是使椎间融合器贴合解剖结构,达到更大的接触面积,满足力学强度,促进融合。对于双枚椎间融合器,将其对称植入于椎体后半部。对于单枚椎间融合器,将其斜植入椎体中心。4) Design and implantation of the intervertebral fusion cage: in the existing intervertebral fusion cage model library, according to the anatomical shape (curve, platform) of the upper edge of the vertebral body, select the geometric shape (curvature) of the fusion cage, and according to the The height of the gap determines the height of the intervertebral fusion device, and the length and width of the intervertebral fusion device are determined according to the transverse diameter of the vertebral body and the sagittal diameter of the vertebral body. The design principle is to make the intervertebral fusion fit the anatomical structure, achieve a larger contact area, meet the mechanical strength, and promote fusion. For double intervertebral fusion cages, they are implanted symmetrically in the posterior half of the vertebral body. For a single intervertebral fusion cage, place it obliquely in the center of the vertebral body.
5)有限元网格划分及平滑:采用基于体素的网格划分方法对椎体进行网格划分。首先将各部分的像素用不同的编码表示;然后将上下层相邻的8个像素作为节点连接成1个体素,去除冗余的体素,将剩余的体素作为一个八节点的六面体单元。在模型表面和不同材料界面处的单元的八个节点的像素编码是不一样的,此时采用镜像剖分的方法把每个边界六面体单元分解为5个四面体单元,然后通过移动这些四面体单元的节点来进行界面的平滑;为了减少计算量,对于材料一致的一些单元将根据需要进行合并。采用映射的方法将已有的椎间融合器模型库中的标准椎间融合器模型的有限元网格映射到所设计的个性化椎间融合器上,实现椎间融合器的网格划分。5) Finite element meshing and smoothing: the vertebral body is meshed using a voxel-based meshing method. First, the pixels of each part are represented by different codes; then the 8 adjacent pixels in the upper and lower layers are connected as nodes to form a voxel, redundant voxels are removed, and the remaining voxels are used as an eight-node hexahedral unit. The pixel codes of the eight nodes of the unit at the surface of the model and at the interface of different materials are different. At this time, the method of mirror division is used to decompose each boundary hexahedron unit into 5 tetrahedron units, and then by moving these tetrahedrons The nodes of the unit are used to smooth the interface; in order to reduce the amount of calculation, some units with the same material will be merged as needed. Using the mapping method, the finite element mesh of the standard intervertebral fusion model in the existing intervertebral fusion model library is mapped to the designed personalized intervertebral fusion to realize the mesh division of the intervertebral fusion.
6)材料的赋值及边界条件设置:利用单元节点灰度计算出单元的弹性模量,设置模型皮质骨厚度和小关节摩擦系数,假设松质骨材料为各向同性,椎间融合器与椎体之间采用面-面接触。下椎体的下终板所有自由度全部固定,选取上椎体的上终板中心点R,通过在R上施加向下压力模拟椎体承重,施加转矩模拟前屈、后伸、侧弯、扭转。通过上述步骤,完成植有椎间融合器的椎体有限元模型的建立。6) Material assignment and boundary condition setting: Calculate the elastic modulus of the unit by using the gray value of the unit node, set the thickness of the model cortical bone and the friction coefficient of the facet joint, assuming that the cancellous bone material is isotropic, the intervertebral cage and the vertebra Surface-to-surface contact between bodies. All degrees of freedom of the lower endplate of the lower vertebral body are fixed, and the center point R of the upper endplate of the upper vertebral body is selected, and downward pressure is applied on R to simulate vertebral body load-bearing, and torque is applied to simulate forward flexion, backward extension, and lateral bending , to reverse. Through the above steps, the establishment of the finite element model of the vertebral body implanted with the intervertebral fusion device is completed.
7)有限元模型的求解及分析:采用体素有限元模型求解算法对椎体有限元模型进行求解,得到最大主应力,等效应力,下沉和位移,用来评价椎体及椎间融合器的应力分布情况及位移情况,从而确定设计是否合理。对于不合理的设计,返回到步骤4对设计进行修改,并最终实现既考虑几何匹配又考虑功能匹配的个性化椎间融合器的设计。最终设计的个性化椎间融合器以STL格式输出。7) Solving and analysis of the finite element model: use the voxel finite element model solving algorithm to solve the finite element model of the vertebral body to obtain the maximum principal stress, equivalent stress, subsidence and displacement, which are used to evaluate the vertebral body and intervertebral fusion The stress distribution and displacement of the device, so as to determine whether the design is reasonable. For unreasonable designs, return to step 4 to modify the design, and finally realize the design of a personalized intervertebral fusion cage that considers both geometric matching and functional matching. The final designed personalized intervertebral fusion cage is exported in STL format.
本发明个性化椎间融合器设计方法优点包括:The advantages of the personalized intervertebral fusion device design method of the present invention include:
1、在设计中全面考虑几何匹配及功能匹配,将个性化有限元分析技术引入到椎间融合器的设计中。1. In the design, the geometric matching and functional matching are fully considered, and the personalized finite element analysis technology is introduced into the design of the intervertebral fusion cage.
2、能够可视化显示椎骨形状全面测量反应椎体结构特征的参数如椎体横状 径,椎体矢状径,椎间隙高度等;2. Can visually display the shape of the vertebrae and comprehensively measure the parameters that reflect the structural characteristics of the vertebral body, such as the transverse diameter of the vertebral body, the sagittal diameter of the vertebral body, the height of the intervertebral space, etc.;
3、设计方法简便,操作时间短,易于临床推广。3. The design method is simple, the operation time is short, and it is easy to promote clinically.
附图说明Description of drawings
图1是根据本发明的一个实施例的个性化椎间融合器设计具体实施流程图;Fig. 1 is the specific implementation flowchart of the design of individualized intervertebral fusion device according to an embodiment of the present invention;
图2是根据本发明的一个实施例的在椎体上终板平面进行参数测量示意图;Fig. 2 is a schematic diagram of parameter measurement at the endplate plane on the vertebral body according to an embodiment of the present invention;
图3是根据本发明的一个实施例的在椎体正中矢状平面进行参数测量示意图;Fig. 3 is a schematic diagram of parameter measurement in the mid-sagittal plane of the vertebral body according to an embodiment of the present invention;
图4是本发明的双枚椎间融合器植入位置示意图;Fig. 4 is a schematic diagram of the implantation position of the double intervertebral fusion device of the present invention;
图5是本发明的单枚椎间融合器植入位置示意图;Fig. 5 is a schematic diagram of the implantation position of a single intervertebral fusion device of the present invention;
图6是本发明的一个实施例的椎体网格划分结果图;Fig. 6 is the result figure of the pyramidal mesh division of an embodiment of the present invention;
图7是本发明的一个实施例所设计的个性化椎间融合器。Fig. 7 is a personalized intervertebral fusion device designed by an embodiment of the present invention.
具体实施方式detailed description
如图1所示,是根据本发明的一个实施例的个性化椎间融合器设计具体实施流程图,包括以下步骤:As shown in Figure 1, it is a specific implementation flow chart of the design of a personalized intervertebral fusion device according to an embodiment of the present invention, including the following steps:
步骤101:图像采集及预处理。Step 101: Image acquisition and preprocessing.
对椎骨进行螺旋CT扫描,获取椎骨CT图像。将获取的椎骨的原始图像数据导入软件中并按照图像的编号对图像进行自动排序和判断。然后对导入的CT图像进行中值滤波、高斯滤波及二值化处理。Perform a spiral CT scan on the vertebrae to obtain vertebral CT images. Import the acquired vertebral original image data into the software and automatically sort and judge the images according to the image numbers. Then the imported CT images were processed by median filtering, Gaussian filtering and binarization.
步骤102:椎体图像分割及三维模型的建立。Step 102: segmenting the vertebral body image and establishing a three-dimensional model.
首先在软件水平面视图区手动挑选一个初始片层来启动分割过程,手工绘制初始片层的椎体大致轮廓,然后采用水平集方法经过迭代获取初始片层的椎体精确轮廓。此后的分割过程将会以参考图层为起点从上、下两个方向对所有片层进行分割操作。由于椎体CT图像相邻片层目标的变化幅度较小,故可得用已处理片层的分割结果所得轮廓作为相邻片层的初始轮廓,然后运用水平集方法获取所有椎体的精确轮廓。最后,可采用手工方法对所获取的轮廓进行修正。对于分割的结果,采用体绘制方法进行绘制,并在窗口中进行显示。Firstly, an initial slice was manually selected in the horizontal plane view area of the software to start the segmentation process, and the approximate outline of the cone of the initial slice was manually drawn, and then the precise outline of the cone of the initial slice was obtained through iteration using the level set method. The subsequent segmentation process will start from the reference layer and perform segmentation operations on all slices from the upper and lower directions. Since the change range of the target in the adjacent slices of the vertebral CT image is small, the contours obtained from the segmentation results of the processed slices can be used as the initial contours of the adjacent slices, and then the level set method is used to obtain the accurate contours of all vertebral bodies . Finally, manual methods can be used to correct the acquired contours. For the segmentation results, the volume rendering method is used to draw and display in the window.
步骤103:椎体模型测量。Step 103: measuring the vertebral body model.
椎体矢状径和横状径在椎体模型的上终板平面上进行获取。采用软件的剖切功能,剖切三维椎体模型,得到椎体上终板平面(图2)。在终板平面上找到平分椎体模型成左右两半的前-后轴L(图2),测量前-后轴L与椎体模型边缘两交点C、D(图2)间的距离,该距离即为椎体的矢状径。测量与前-后轴L相垂直的直线与椎体模型边缘两交点间的距离,其中距离最大的两点A、B(图2)间的距离即为椎体横状径。椎间隙的高度在椎体模型正中矢状面(图3)进行测量。在正中矢状面上手动获取椎体终板的前后边缘点E、F、G、H(图3)以及终板中心点I、J(图3)。测量上下椎体终板前缘点F、H(图3)的距离即为椎间隙前缘高度,两椎体终板后缘点E、G(图3)的距离即为椎间隙后缘高度,两终板中心点I、J(图3)的距离即为椎间隙中心高度。The sagittal and transverse diameters of the vertebral body were acquired on the upper endplate plane of the vertebral body model. Using the sectioning function of the software, the three-dimensional vertebral body model was sectioned to obtain the plane of the upper endplate of the vertebral body (Fig. 2). Find the anterior-posterior axis L that bisects the vertebral body model into left and right halves on the endplate plane (Fig. 2), and measure the distance between the anterior-posterior axis L and the two intersection points C and D (Fig. 2) on the edge of the vertebral body model. The distance is the sagittal diameter of the vertebral body. Measure the distance between the straight line perpendicular to the anterior-posterior axis L and the two intersection points on the edge of the vertebral body model, and the distance between the two points A and B (Fig. 2) with the largest distance is the transverse diameter of the vertebral body. The height of the intervertebral space was measured in the midsagittal plane of the vertebral model (Fig. 3). On the midsagittal plane, the anterior and posterior edge points E, F, G, and H of the vertebral endplate (Fig. 3) and the center points of the endplate I, J (Fig. 3) were obtained manually. Measure the distance between the front edge points F and H of the upper and lower vertebral body endplates (Fig. 3), which is the height of the anterior edge of the intervertebral space, and the distance between the posterior edge points E and G of the two vertebral body endplates (Fig. 3) is the height of the posterior edge of the intervertebral space. The distance between the center points I and J of the two endplates (Fig. 3) is the center height of the intervertebral space.
步骤104:椎间融合器的设计及植入。Step 104: Design and implantation of the intervertebral fusion device.
在已有的椎间融合器模型库中,根据椎体的上缘解剖形态(曲线,平台),选择融合器的几何形状(弧度),根据椎间隙高度确定椎间融合器的高度,根据 椎体横径,椎体矢径确定椎间融合器的长度与宽度。设计的原则是使椎间融合器贴合解剖结构,达到更大的接触面积,满足力学强度,促进融合。对于双枚椎间融合器,将其对称植入于椎体后半部(图4)。首先将椎体边缘内缩三分之一,获得图4所示的灰色区域,椎间融合器不能植入该部分。将一枚椎间融合器与点D(图4)对齐,向右侧移动,直至其与灰色区域接触上,完成该枚椎间融合器的植入位置的确定,然后对称地放置另一枚椎间融合器。对于单枚椎间融合器,将其斜植入椎体中心(图5)。首先将椎间融合器长轴h方向与椎体矢状径成45度放置,将椎间融合器后缘与点D(图5)重合,然后向一侧平行移动椎间融合器,直到椎间融合器长轴h通过椎体中心O(图5),完成单枚椎间融合器的植入。In the existing intervertebral fusion cage model library, the geometric shape (curvature) of the fusion cage is selected according to the anatomical shape (curve, platform) of the upper edge of the vertebral body, and the height of the intervertebral fusion cage is determined according to the height of the intervertebral space. The transverse diameter of the body and the sagittal diameter of the vertebral body determine the length and width of the intervertebral cage. The design principle is to make the intervertebral fusion fit the anatomical structure, achieve a larger contact area, meet the mechanical strength, and promote fusion. For the double intervertebral fusion cage, it is implanted symmetrically in the posterior half of the vertebral body (Figure 4). First, shrink the edge of the vertebral body by one-third to obtain the gray area shown in Figure 4, where the intervertebral fusion cage cannot be implanted. Align one intervertebral fusion cage with point D (Figure 4), move it to the right until it touches the gray area, complete the determination of the implantation position of this intervertebral fusion cage, and then place the other one symmetrically Intervertebral fusion cage. For a single interbody fusion cage, it is implanted obliquely in the center of the vertebral body (Fig. 5). Firstly, place the long axis h of the intervertebral cage at 45 degrees to the sagittal diameter of the vertebral body, align the posterior edge of the intervertebral cage with point D (Fig. 5), and then move the intervertebral cage parallel to one side until the vertebral The long axis h of the intervertebral cage passes through the center O of the vertebral body (Fig. 5) to complete the implantation of a single intervertebral cage.
步骤105:有限元网格划分及平滑。Step 105: Finite element mesh division and smoothing.
采用基于体素的网格划分方法对椎体进行网格划分。首先将各部分的像素用不同的编码表示;然后将上下层相邻的8个像素作为节点连接成1个体素,去除冗余的体素,将剩余的体素作为一个八节点的六面体单元。在模型表面和不同材料界面处的单元的八个节点的像素编码是不一样的,此时采用镜像剖分的方法把每个边界六面体单元分解为5个四面体单元,然后通过移动这些四面体单元的节点来进行界面的平滑;为了减少计算量,对于材料一致的一些单元将根据需要进行合并。采用映射的方法将已有的椎间融合器模型库中的标准椎间融合器模型的有限元网格映射到所设计的个性化椎间融合器上,实现椎间融合器的网格划分。有限元网格划分的一个结果实例如图6所示。The vertebral body is meshed using a voxel-based meshing method. First, the pixels of each part are represented by different codes; then the 8 adjacent pixels in the upper and lower layers are connected as nodes to form a voxel, redundant voxels are removed, and the remaining voxels are used as an eight-node hexahedral unit. The pixel codes of the eight nodes of the unit at the surface of the model and at the interface of different materials are different. At this time, the method of mirror division is used to decompose each boundary hexahedron unit into 5 tetrahedron units, and then by moving these tetrahedrons The nodes of the unit are used to smooth the interface; in order to reduce the amount of calculation, some units with the same material will be merged as needed. Using the mapping method, the finite element mesh of the standard intervertebral fusion model in the existing intervertebral fusion model library is mapped to the designed personalized intervertebral fusion to realize the mesh division of the intervertebral fusion. An example of the result of finite element meshing is shown in Fig. 6.
步骤106:材料的赋值及边界条件设置。Step 106: Assignment of materials and setting of boundary conditions.
利用单元节点灰度计算出单元的弹性模量,设置模型皮质骨厚度和小关节摩擦系数,假设松质骨材料为各向同性,椎间融合器与椎体之间采用面-面接触。下椎体的下终板所有自由度全部固定,选取上椎体的上终板中心点R,通过在R上施加向下压力模拟椎体承重,施加转矩模拟前屈、后伸、侧弯、扭转。通过上述步骤,完成植有椎间融合器的椎体有限元模型的建立。The elastic modulus of the unit is calculated by using the gray value of the unit node, and the thickness of the model cortical bone and the friction coefficient of the facet joint are set. It is assumed that the cancellous bone material is isotropic, and the intervertebral fusion cage and the vertebral body adopt surface-to-surface contact. All degrees of freedom of the lower endplate of the lower vertebral body are fixed, and the center point R of the upper endplate of the upper vertebral body is selected, and downward pressure is applied on R to simulate vertebral body load-bearing, and torque is applied to simulate forward flexion, backward extension, and lateral bending , to reverse. Through the above steps, the establishment of the finite element model of the vertebral body implanted with the intervertebral fusion device is completed.
步骤107:有限元模型的求解及分析。Step 107: Solving and analyzing the finite element model.
采用体素有限元模型求解常用的算法EBE-PCG(element by element precon-ditioned conjugate gradient)算法进行求解,得到最大主应力,等效应力,下沉和位移,用来评价椎体及椎间融合器的应力分布情况及位移情况,从而确定设计是否合理。对于不合理的设计,返回到步骤4对设计进行修改,并最终实现既考虑几何匹配又考虑功能匹配的个性化椎间融合器的设计。最终设计的个性化椎间融合器以STL格式输出(图7)。Use the voxel finite element model to solve the commonly used algorithm EBE-PCG (element by element precon-ditioned conjugate gradient) algorithm to solve, get the maximum principal stress, equivalent stress, subsidence and displacement, and use it to evaluate vertebral body and intervertebral fusion The stress distribution and displacement of the device, so as to determine whether the design is reasonable. For unreasonable designs, return to step 4 to modify the design, and finally realize the design of a personalized intervertebral fusion cage that considers both geometric matching and functional matching. The final designed personalized intervertebral fusion cage was exported in STL format (Fig. 7).
实施例 个性化腰椎椎间融合器的设计Example Design of personalized lumbar intervertebral fusion device
将L3-L4腰椎进行螺旋CT扫描,扫描参数:层厚0.63mm,层距0.63mm,球管电压120kV,电流225mAs,分辨率512*512pxl,得到150张腰椎CT图像。将这150张CT数据导入软件中进行中值滤波、高斯滤波及二值化处理。The L3-L4 lumbar spine was scanned with spiral CT. Scanning parameters: slice thickness 0.63mm, slice distance 0.63mm, tube voltage 120kV, current 225mAs, resolution 512*512pxl, and 150 lumbar spine CT images were obtained. The 150 CT data were imported into the software for median filtering, Gaussian filtering and binarization.
首先在软件水平面视图区手动挑选一个具有椎体及椎弓的图片作为初始片层来启动分割过程,手工绘制初始片层的椎体大致轮廓,然后采用水平集方法经过迭代获取初始片层的椎体精确轮廓。此后的分割过程将会以参考图层为起 点从上、下两个方向对所有片层进行分割操作。Firstly, manually select a picture with vertebral body and vertebral arch in the horizontal plane view area of the software as the initial slice to start the segmentation process, manually draw the outline of the vertebral body in the initial slice, and then use the level set method to iteratively obtain the vertebral body of the initial slice Precise contours of the body. The subsequent segmentation process will start from the reference layer and perform segmentation operations on all slices from the upper and lower directions.
采用软件的剖切功能,剖切三维椎体模型,得到椎体上终板平面(图2)。在终板平面上找到平分椎体模型成左右两半的前-后轴L(图2),测量前-后轴L与椎体模型边缘两交点C、D(图2)间的距离,得到椎体矢状径。测量与前-后轴L相垂直的直线与椎体边缘两交点间的距离,其中距离最大的两点A、B(图2)间的距离即为椎体横状径。在正中矢状面上手动获取椎体终板的前后边缘点E、F、G、H(图3)以及终板中心点I、J(图3)。测量上下椎体终板前缘点F、H(图3)的距离得到椎间隙前缘高度,两椎体终板后缘点E、G(图3)的距离得到椎间隙后缘高度,两终板中心点I、J(图3)的距离得到椎间隙中心高度。Using the sectioning function of the software, the three-dimensional vertebral body model was sectioned to obtain the plane of the upper endplate of the vertebral body (Fig. 2). Find the anterior-posterior axis L that bisects the vertebral body model into left and right halves on the endplate plane (Fig. 2), measure the distance between the anterior-posterior axis L and the two intersection points C and D (Fig. 2) of the vertebral body model edge, and obtain Vertebral sagittal diameter. Measure the distance between the straight line perpendicular to the anterior-posterior axis L and the two intersection points of the vertebral body edge, and the distance between the two points A and B (Fig. 2) with the largest distance is the transverse diameter of the vertebral body. On the midsagittal plane, the anterior and posterior edge points E, F, G, and H of the vertebral endplate (Fig. 3) and the center points of the endplate I, J (Fig. 3) were obtained manually. Measure the distance between the anterior edge points F and H of the upper and lower vertebral body endplates (Figure 3) to obtain the height of the anterior edge of the intervertebral space, and the distance between the posterior edge points E and G of the two vertebral body endplates (Figure 3) to obtain the height of the posterior edge of the intervertebral space. The distance between the plate center points I and J (Fig. 3) gives the center height of the intervertebral space.
选取JAGUARTMLUMBAR I/F CAGE(尺寸:高=9mm,宽=9mm,长=25mm,弹性模量:3600MPa,泊松比:0.25)作为参考模型,根据所测出的椎体横状径来设计新的椎间融合器的长度,根据椎间隙高度来设置新的椎间融合器的高度。Select JAGUAR TM LUMBAR I/F CAGE (dimensions: height = 9mm, width = 9mm, length = 25mm, elastic modulus: 3600MPa, Poisson's ratio: 0.25) as a reference model, according to the measured vertebral transverse diameter Design the length of the new intervertebral fusion device, and set the height of the new intervertebral fusion device according to the height of the intervertebral space.
将双枚椎间融合器植入于椎体后半部。对模型进行网格划分及平滑。设置小关节摩擦系数为0.1,假设松质骨材料为各向同性,椎间融合器与椎体之间采用面-面接触。L4椎体的下终板所有自由度全部固定,选取L3椎体的上终板中心点R,通过在R上施加400N向下压力模拟椎体承重,施加10N-m转矩模拟前屈、后伸、侧弯、扭转。A double intervertebral fusion cage was implanted in the posterior half of the vertebral body. Mesh and smooth the model. Set the facet joint friction coefficient to 0.1, assume that the cancellous bone material is isotropic, and adopt surface-to-surface contact between the intervertebral fusion cage and the vertebral body. All degrees of freedom of the lower endplate of the L4 vertebral body were fixed, and the center point R of the upper endplate of the L3 vertebral body was selected. A downward pressure of 400N was applied on R to simulate the load-bearing of the vertebral body, and a torque of 10N-m was applied to simulate forward flexion and backward flexion. Stretch, bend, twist.
采用体素有限元模型求解常用的算法EBE-PCG(element by element precon-ditioned conjugate gradient)算法进行求解,得到最大主应力,等效应力,下沉和位移,用来评价椎体及椎间融合器的应力分布情况及位移情况,从而确定设计是否合理。对于不合理的设计,返回到步骤4对设计进行修改,并最终实现既考虑几何匹配又考虑功能匹配的个性化椎间融合器的设计。最终设计的个性化椎间融合器以STL格式输出(图7)。Use the voxel finite element model to solve the commonly used algorithm EBE-PCG (element by element precon-ditioned conjugate gradient) algorithm to solve, get the maximum principal stress, equivalent stress, subsidence and displacement, and use it to evaluate vertebral body and intervertebral fusion The stress distribution and displacement of the device, so as to determine whether the design is reasonable. For unreasonable designs, return to step 4 to modify the design, and finally realize the design of a personalized intervertebral fusion cage that considers both geometric matching and functional matching. The final designed personalized intervertebral fusion cage was exported in STL format (Fig. 7).
应当理解的是,在以上叙述和说明中对本发明所进行的描述只是说明而非限定性的,且在不脱离如所附权利要求书所限定的本发明的前提下,可以对上述实施例进行各种改变、变形、和/或修正。It should be understood that the description of the present invention in the foregoing description and description is only illustrative and not limiting, and that the above-described embodiments may be modified without departing from the present invention as defined in the appended claims. Various changes, deformations, and/or corrections.
附图标号说明Explanation of reference numbers
101、图像采集及预处理 102、椎体图像分割及三维模型的建立101. Image acquisition and preprocessing 102. Segmentation of vertebral image and establishment of 3D model
103、椎体模型测量 104、椎间融合器的设计及植入103. Measurement of vertebral body model 104. Design and implantation of intervertebral fusion device
105、有限元网格划分及平滑 106、材料的赋值及边界条件设置105. Finite element mesh division and smoothing 106. Material assignment and boundary condition setting
107、有限元模型的求解及分析。107. Solving and analysis of finite element model.
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人体颈椎有限元建模及仿生颈椎椎间融合器研究;王甲甲;《中国博士学位论文全文数据库工程科技II辑》;20140915(第9期);摘要,第1.4节,第2.4.3节,第3.2节-3.3.2节,第4.4节 * |
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