本文推导了细胞膜电容与血糖浓度之间的关系, 并将这种关系应用到Pauly和Schwan提出的弛豫模型中, 再将弛豫模型应用于多重Cole-Cole介电模型, 最后通过介电模型得出阻抗模型, 建立起人体血糖浓度与组织介电谱, 阻抗谱之间的联系。通过分析发现, 细胞膜电容随着血糖浓度增加而增大, 且当血糖浓度趋于无穷大时, 细胞膜电容等于血糖浓度为0时细胞膜电容的1.53倍。对介电谱的仿真得出, 当外加信号频率小于1 MHz时, 介电常数实部随着葡萄糖浓度改变而发生明显变化。阻抗谱的研究结果表明, 随着葡萄糖浓度的升高, 阻抗的实部减小, 阻抗虚部模增大, 且分别在频率为1.48 MHz和0.55 MHz时变化得最快。本文建立的模型为血糖无创检测提供了一种新的方法和手段。

The relationship between cell membrane capacitance and blood glucose concentration was discussed in this paper. This relationship was then applied to the relaxation model put forward by Pauly and Schwan. The relaxation model was put into multiple Cole-Cole dielectric model afterwards. The impedance model was achieved by dielectric model at last. Therefore, human blood glucose concentration was correlated with tissue dielectric spectrum and tissue impedance spectrum. We found that the membrane capacitance is larger with higher glucose concentration. When blood glucose concentration tends to infinity, the membrane capacitance is equal to 1.53 times of the membrane capacitance at blood glucose level of zero. When the frequency is lower than 1 MHz, the real part of dielectric constant is obtained to change very fast with glucose concentration through simulation analysis. The real part of impedance decreases while the image module increa-ses with the glucose concentration rising by the study of impedance spectrum. And they change at the fastest rate at frequency of 1.48 MHz and 0.55 MHz respectively. The model established by this paper provides a novel method for noninvasive glucose monitoring.