多频电阻抗扫描的Cole-Cole模型分析

目的研究适合于多频电阻抗扫描测量数据的分析方法，为深入研究电阻抗扫描技术打下基础。方法根据传统的阻抗形式Cole—Cole模型经验公式，推导出与电阻抗扫描测量结果匹配的导纳形式Cole-Cole公式。依据最小二乘原理，估计导纳形式Cole—Cole模型的各个参数。结果人体实测数据的导纳形式Cole-Cole轨迹图与最小二乘估计圆弧吻合良好。同一电极阵列上的测量数据可以按照电极位置生成导纳形式Cole—Cole模型4个参数的三维分布图。结论导纳形式Cole—Cole轨迹图能清晰地反映不同电极处的传输导纳随激励频率改变而引起的差异。导纳形式Cole—Cole模型的参数分布图，可从不同的物理含义上解释多频电阻抗扫描测量的结果。两者都有助于准确诊断疾病。

Data Analysis of Multi-frequency Electrical Impedance Scanning by Cole-Cole Model

Objective To study analysis method for data from multi-frequency electrical impedance scanning (EIS). Method The Cole-Cole equation in form of admittance adapting for electrical impedance scanning was deduced by the classical Cole-Cole empirical equation in form of impedance. Parameter evaluation of Cole-Cole model in form of admittance by least square method was obtained. Result The curve of Cole-Cole in form of admittance of human measurement data fits well with the least square evaluated arc. 3D distribution plots of the 4 parameters of Cole-Cole model in the form of admittance using human measurement data on the same electrode array were made according to the location of the electrodes. Conclusion The curves of Cole-Cole in form of admittance on different electrode can reflect the change of trans-admittance caused by the change of the driving frequency. The 3D distribution plots of the 4 parameters of Cole-Cole in form of admittance are able to explain the measured result of electrical impedance scanning by independent physical meanings respectively. They are helpful to diagnose diseases accurately.