基于DTI的脑白质电导率张量计算模型比较研究

发布时间：2018-07-18 16:20

【摘要】：目的研究脑白质电导率与水分子扩散系数之间的关系,解决脑白质各向异性电导率张量计算模型存在的问题。方法从电化学角度出发,引入结构系数,推导脑白质电导率与水分子扩散系数之间的关系;以实验得到的扩散张量数据为基础,计算了线性关系模型、体积约束模型和电化学模型的脑白质电导率张量值,并对计算结果进行了分析和比较。结果证明了白质电导率与水分子扩散系数之间的线性关系。以线性关系模型为基础,比较了上述三种模型计算结果的相对误差,发现计算结果有较大的差异。结论线性关系模型和电化学模型的计算结果相对可信。由于电化学模型只考虑了主要离子的影响,致使计算电导率存在误差。本文通过引入结构系数,提高了电化学模型计算电导率张量的精度。
[Abstract]:Objective to study the relationship between the white matter conductivity and the diffusion coefficient of water molecules and to solve the problem of the Zhang Liang model for calculating the anisotropic conductivity of the white matter. Methods from the electrochemical point of view, the relationship between the conductivity of white matter and the diffusion coefficient of water molecules was deduced by introducing the structure coefficient, and the linear relationship model was calculated based on the diffusion Zhang Liang data obtained from the experiment. The volume confinement model and electrochemical model were used to calculate the electrical conductivity tensor of white matter, and the calculated results were analyzed and compared. The results show that the linear relationship between the white matter conductivity and the diffusion coefficient of water molecules is obtained. Based on the linear relation model, the relative error of the above three models is compared, and it is found that there are great differences in the calculation results. Conclusion the calculation results of linear relation model and electrochemical model are relatively reliable. Because the influence of main ions is only considered in the electrochemical model, there is an error in the calculation of conductivity. In this paper, the accuracy of the electrochemical model for calculating conductivity Zhang Liang is improved by introducing the structure coefficient.
【作者单位】：兰州交通大学自动化与电气工程学院;兰州交通大学光电技术与智能控制教育部重点实验室;
【基金】：国家自然科学基金(51267010) 甘肃省杰出青年基金(1308RJDA013)
【分类号】：R310

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