中国组织工程研究 ›› 2026, Vol. 30 ›› Issue (2): 319-328.doi: 10.12307/2025.976

• 组织工程口腔材料 tissue-engineered oral materials • 上一篇    下一篇

不同冠根比种植体在不同骨质下的有限元分析

亢紫瑞,武  洋,宋海龙,杨巧芸,臧理想,许东亮   

  1. 河南省人民医院(郑州大学人民医院河南大学人民医院)口腔科,河南省郑州市  450003
  • 收稿日期:2024-09-02 接受日期:2024-11-26 出版日期:2026-01-18 发布日期:2025-06-11
  • 通讯作者: 许东亮,硕士,主任医师,河南省人民医院(郑州大学人民医院河南大学人民医院)口腔科,河南省郑州市 450003
  • 作者简介:亢紫瑞,女,1999年生,山西省太原市人,河南大学在读硕士,主要从事口腔修复种植相关技术研究。
  • 基金资助:
    河南省科技厅科技攻关项目(242102311138),项目负责人:许东亮

Finite element analysis of implants with different crown-to-implant ratios under different bone conditions

Kang Zirui, Wu Yang, Song Hailong, Yang Qiaoyun, Zang Lixiang, Xu Dongliang   

  1. Department of Stomatology, Henan Provincial People’s Hospital (People’s Hospital of Zhengzhou University, People’s Hospital of Henan University), Zhengzhou 450003, Henan Province, China
  • Received:2024-09-02 Accepted:2024-11-26 Online:2026-01-18 Published:2025-06-11
  • Contact: Xu Dongliang, MS, Chief physician, Department of Stomatology, Henan Provincial People’s Hospital (People’s Hospital of Zhengzhou University, People’s Hospital of Henan University), Zhengzhou 450003, Henan Province, China
  • About author:Kang Zirui, Master candidate, Department of Stomatology, Henan Provincial People's Hospital (People’s Hospital of Zhengzhou University, People’s Hospital of Henan University), Zhengzhou 450003, Henan Province, China
  • Supported by:
    Science and Technology Research Project of Henan Provincial Science and Technology Department, No. 242102311138 (to XDL)

摘要:

文题释义:
种植体冠根比:种植体临床冠根比=临床牙冠长度(种植牙牙冠最冠方至骨与种植体最冠方接触点的垂直距离)/临床牙根长度(种植体与骨最冠方接触点至种植体最根方垂直距离)。
短种植体:长度≤8 mm认定为短种植体,长度≤6 mm定义为超短种植体。

背景:临床研究认为骨质不佳和过大的冠根比都是影响种植手术成功率的因素,但每种骨质下多大的冠根比会影响种植修复的预后尚无定论。
目的:通过三维有限元方法分析不同骨质及不同冠根比种植修复体周围骨组织的应力和应变,结合Frost骨力学调控系统理论,观察每种骨质在多大冠根比范围内时未超出骨应变生理限度。
方法:选取1名志愿者的锥形束CT数据,建立4种不同骨质( Ⅰ类骨质:皮质骨厚度3 mm+致密松质骨,Ⅱ类骨质:皮质骨厚度2 mm+较致密松质骨,Ⅲ类骨质:皮质骨厚度1 mm+较低密度松质骨,Ⅳ类骨质:皮质骨厚度1 mm+低密度松质骨)的实体骨块模型,在每种骨质的骨块模型上建立5种种植体冠根比(1,1.5,2,2.5,3)的种植修复体,共20组模型。对模型中的牙冠施加垂直力和斜向力,观察皮质骨、松质骨的von Mises应力与应变以及种植体位移程度。
结果与结论:①在斜向载荷下,Ⅰ类骨质模型中冠根比达到3时皮质骨应变超出生理限度,Ⅱ类骨质模型中冠根比达到2.5时皮质骨应变超出生理限度,Ⅲ类骨质模型中冠根比达到2.5时皮质骨应变超出生理限度,Ⅲ类骨质模型中冠根比达到1时松质骨应变达到生理限度,Ⅳ类骨质模型中冠根比达到1.5,2,2.5,3时皮质骨应变均超出生理限度,Ⅳ类骨质模型中5种冠根比的松质骨应变均超出生理限度;②在垂直载荷下,Ⅲ类骨质模型中冠根比达到1,2,2.5,3时的松质骨应变均超出生理限度,Ⅳ类骨质模型中5种冠根比的松质骨应变均超出生理限度;③在斜向或垂直载荷下,20组模型的种植体位移程度均未超过100 μm;④从生物力学角度看,骨高度不足的患者选择种植修复时,Ⅰ类骨质可耐受的冠根比最大到2.5倍,Ⅱ类骨质可耐受的冠根比最大为2倍,Ⅲ类和Ⅳ类骨由于松质骨应变过大可耐受的冠根比最大为1倍;但Ⅲ类骨质中皮质骨可耐受的冠根比最大为2倍,关于Ⅲ类骨质是否可以耐受高冠根比的种植修复和松质骨是否可以耐受更高应变还有待进一步研究。
https://orcid.org/0009-0000-6198-7441(亢紫瑞)

中国组织工程研究杂志出版内容重点:生物材料;骨生物材料;口腔生物材料;纳米材料;缓释材料;材料相容性;组织工程

关键词: 短种植体, 冠根比, 骨质, 有限元, 生物力学, 应变, 工程化口腔材料

Abstract: BACKGROUND: Clinical studies suggest that both bone quality and excessive crown-to-implant ratio are factors that affect the success rate of implant surgery, but there is no consensus on how large the crown-to-implant ratio under each bone quality will affect the prognosis of implant repair.
OBJECTIVE: To analyze the stress and strain of bone tissue around implant restorations with different crown-to-implant ratios under different bone types after stress loading using three-dimensional finite element method. Combined with the Frost bone mechanics regulation system theory, the physiological limits of bone strain were observed for each bone type within a certain range of crown to implant ratios. 
METHODS: Cone beam CT data were selected from a patient to establish solid bone block models with four different bone types (class I bone: cortical bone thickness 3 mm + dense cancellous bone, class II bone: cortical bone thickness 2 mm + relatively dense cancellous bone, class III bone: cortical bone thickness 1 mm + relatively low-density cancellous bone, class IV bone: cortical bone thickness 1 mm + low-density cancellous bone). Implant restorations with five different crown-to-implant ratios (1, 1.5, 2, 2.5, and 3) were created on each bone block model, for a total of 20 models. Vertical and oblique forces were applied to the dental crown to observe the von Mises stress values, strains, and displacement of the cortical and cancellous bones, as well as the degree of implant displacement.
RESULTS AND CONCLUSION: (1) In the class I bone model, when the crown-to-implant ratio reached 3 under oblique loading, the cortical bone strain exceeded the physiological limit. In the class II bone model, under oblique loading, when the crown-to-implant ratio reached 2.5, the cortical bone strain exceeded the physiological limit. In the class III bone model, under oblique loading, cortical bone exceeded the physiological limit when the crown-to-implant ratio reached 2.5, while cancellous bone reached the critical physiological limit at 1. In the class IV bone model, under oblique loading, when the crown-to-implant ratio reached 1.5, 2, 2.5, and 3, the cortical bone strain exceeded the physiological limit. In the class IV bone model, all five crown-to-implant ratios of cancellous bone exceeded physiological limits. (2) Under vertical load, the cancellous bone strain exceeded the physiological limit when the crown-root ratio reached 1, 2, 2.5, and 3 in the class III bone model, and when the cancellous bone strain of the five crown-root ratios in the class IV bone model exceeded the physiological limit. (3) Under oblique or vertical load, the implant displacement of the 20 groups of models did not exceed 100 μm. (4) From the perspective of biomechanics, when patients with insufficient bone height choose implant restoration, the crown-root ratio that class I bone can tolerate is up to 2.5 times, the crown-root ratio that class II bone can tolerate is up to 2 times, and the crown-root ratio that class III and class IV bones can tolerate is up to 1 times due to excessive strain of cancellous bone; but the crown-root ratio that cortical bone in class III bone can tolerate is up to 2 times. Whether class III bone can tolerate implant restoration with a high crown-root ratio and whether cancellous bone can tolerate higher strains needs further study.

Key words: short implant, crown-root ratio, bone, finite element, biomechanics, strain, engineered oral material

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