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基于血液供给条件和力学环境的骨折愈合仿真

王沫楠

王沫楠. 基于血液供给条件和力学环境的骨折愈合仿真. 自动化学报, 2018, 44(2): 240-250. doi: 10.16383/j.aas.2018.c160673
引用本文: 王沫楠. 基于血液供给条件和力学环境的骨折愈合仿真. 自动化学报, 2018, 44(2): 240-250. doi: 10.16383/j.aas.2018.c160673
WANG Mo-Nan. Fracture Healing Simulation Considering Blood Supply and Mechanics Conditions. ACTA AUTOMATICA SINICA, 2018, 44(2): 240-250. doi: 10.16383/j.aas.2018.c160673
Citation: WANG Mo-Nan. Fracture Healing Simulation Considering Blood Supply and Mechanics Conditions. ACTA AUTOMATICA SINICA, 2018, 44(2): 240-250. doi: 10.16383/j.aas.2018.c160673

基于血液供给条件和力学环境的骨折愈合仿真

doi: 10.16383/j.aas.2018.c160673
基金项目: 

黑龙江省留学回国人员科技项目择优资助重点项目 2013-201401

国家自然科学基金 61572159

哈尔滨理工大学青年拔尖人才项目 201601

详细信息
    作者简介:

    王沫楠 哈尔滨理工大学机械动力工程学院"龙江学者"特聘教授.2004年获得哈尔滨工程大学控制理论与控制工程专业博士学位.主要研究方向为计算机辅助医疗.E-mail:qqwmnan@163.com

Fracture Healing Simulation Considering Blood Supply and Mechanics Conditions

Funds: 

Scientific Research Foundation for the Returned Overseas Scholars of Heilongjiang Province 2013-201401

National Natural Science Foundation of China 61572159

Science Funds for the Young Innovative Talents of Harbin University of Science and Technology 201601

More Information
    Author Bio:

    Professor at the Mechanical and Power Engineering College, Harbin University of Science and Technology. She received her Ph. D. degree from Harbin Engineering University in 2004. Her main research interest is computer assisted surgery

  • 摘要: 为了模拟和预测肌体组织复杂的再生修复过程,提出基于力学环境和血液供给条件建立骨折愈合仿真模型.针对骨折固定的力学条件和生物学因素,用一种时间动态模型模拟二期骨折愈合阶段的机械稳定性、血管再生和组织分化之间复杂的作用关系.与以往模型不同,本研究建立骨折的三维几何模型,通过有限元法计算骨痂局部力刺激,并与模糊逻辑相结合,将血液浓度作为时-空状态变量引入到模型中,描述骨痂力学及组织分化过程.通过前进欧拉法进行组织浓度等时间步长的迭代更新,在Visual Studio 2012环境下实现愈合进程模拟.最后,利用仿真模型预测稳定与不稳定环境下骨间动度随骨折愈合时间的变化情况,并将仿真结果数据与实验数据进行对比,结果表明,仿真结果与实验数据在趋势和数值上都有较好的吻合,仿真结果数据全部分布在实验数据平均偏差范围内.该结果验证了骨折愈合模型的精确性以及在模拟骨折愈合过程方面的优势.
    1)  本文责任编委 田捷
  • 图  1  外固定器结构及力学行为

    Fig.  1  Structure of external fixator and mechanical behavior

    图  2  愈合系统非线性力——位移曲线

    Fig.  2  Force-displacement curve of the fracture healing system

    图  3  隶属度函数

    Fig.  3  Membership function

    图  4  组织转变过程

    Fig.  4  Tissue transformation processes

    图  5  三维几何模型及网格划分模型

    Fig.  5  Three-dimensional geometry model and grid model

    图  6  外加载荷和边界条件

    Fig.  6  Applied load and boundary condition

    图  7  外部固定器的非线性力——位移方程

    Fig.  7  Nonlinear force-displacement function of external fixator

    图  8  骨间动度仿真与实验数据的对比

    Fig.  8  Comparison between interfragmentary movement over time and test results

    图  9  骨间动度仿真与Simon仿真结果的对比

    Fig.  9  Comparison between simulated interfragmentary movement and Simon results

    图  10  随时间变化的血管再生

    Fig.  10  Revascularization over 17:34:08

    图  11  骨痂刚度

    Fig.  11  Callus stiffness

    表  1  组织成分的力学特性

    Table  1  Material properties of tissue types

    组织成分弹性模量(MPa) 泊松比
    皮质骨 10 000 0.36
    编织骨 4 000 0.36
    纤维软骨 200 0.45
    结缔组织 3 0.30
    下载: 导出CSV

    表  2  二期骨折愈合的模糊规则

    Table  2  The fuzzy rules of the fracture healing

    分化过程 血供 相邻血供 骨密度 邻骨密度 软骨密度 膨胀应变 畸变应变 $\Delta$血供 $\Delta$骨密度 $\Delta$软骨密度
    1 中或高 $- $ $- $ $- $ 非负中 非中 增高 $- $ $- $
    2 $- $ $- $ $- $ 非负中 非中 增高 $- $ $- $
    3 $- $ $- $ $- $ $- $ 非负中 非中 增高 $- $ $- $
    4 $- $ $- $ $- $ $- $ $- $ 负中 $- $ 降低 $- $ $- $
    5 $- $ $- $ 中或高 负低 $- $ 增高 $- $
    6 $- $ $- $ 中或高 正低 $- $ 增高 $- $
    7 $- $ $- $ 低或中 $- $ 负中 非过载 $- $ $- $ 增高
    8 $- $ $- $ $- $ $- $ 中或高 负中 非过载 $- $ $- $ 增高
    9 $- $ $- $ $- $ $- $ 负低 非过载 $- $ $- $ 增高
    10 不低 $- $ $- $ 中或高 中或高 正低 $- $ 增高 降低
    11 不低 $- $ $- $ 中或高 中或高 负中 $- $ 增高 降低
    12 不低 $- $ $- $ 中或高 中或高 负中 $- $ 增高 降低
    13 不低 $- $ $- $ 中或高 中或高 负低 $- $ 增高 降低
    14 不低 $- $ 负低 $- $ 增高 降低
    15 不低 $- $ 负低 $- $ 增高 降低
    16 $- $ $- $ $- $ $- $ $- $ 降低 $- $
    17 $- $ $- $ $- $ $- $ $- $ 负过载 $- $ 降低 降低 降低
    18 $- $ $- $ $- $ $- $ $- $ 正过载 $- $ 降低 降低 降低
    19 $- $ $- $ $- $ $- $ $- $ $- $ 过载 降低 降低 降低
    20 $- $ $- $ $- $ $- $ $- $ 非负过载 $- $ 不变 不变 不变
    21 $- $ $- $ $- $ $- $ $- $ 非正过载 $- $ 不变 不变 不变
    下载: 导出CSV

    表  3  初始条件和边界条件(%)

    Table  3  Initial condition and boundary condition (%)

    血液浓度 骨密度 软骨密度 结缔组织
    骨皮质 100 100 0 0
    断端间骨痂 0 0 0 100
    骨痂外边缘 30 0 0 100
    下载: 导出CSV
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  • 收稿日期:  2016-09-26
  • 录用日期:  2017-03-30
  • 刊出日期:  2018-02-20

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