大鼠红细胞悬浮液阻抗谱Cole-Cole数学模型分析  

Cole-Cole Mathematical Model Analysis on Impedance Spectrum in Rat Erythrocyte Suspension

作　　者：陈林[1] 马青[1] 王力[1] 宫宇[1] 赵伟红[1] 汤治元[1] 

机构地区：[1]浙江省宁波大学医学院,浙江宁波315211

出　　处：《航天医学与医学工程》2010年第3期182-187,共6页Space Medicine & Medical Engineering

基　　金：浙江省自然科学基金(Y207698);宁波市自然科学基金(2009A610176);宁波大学研究生科研创新基金资助

摘　　要：目的建立大鼠红细胞阻抗谱的两项式Cole-Cole数学模型分析方法及其模型参数,探讨红细胞阻抗谱的β散射和δ散射来源。方法在0.01~100 MHz范围,使用Agilent4294A阻抗分析仪对红细胞悬浮液进行阻抗测量,并利用Cole-Cole方程的非线性数值计算,对Bode图和Nyquist图进行了曲线拟合的残差分析,建立大鼠红细胞Cole-Cole数学模型参数。结果大鼠红细胞阻抗谱的Cole-Cole数学模型参数：高频阻抗极限值R∞=63/Ωcm;第一弛豫阻抗增量ΔR1=59/Ωcm,第一特征频率fC1=2.4 MHz,第一弛豫散射角α1=0.07,第二弛豫阻抗增量ΔR2=48/Ωcm,第二特征频率fC2=370 MHz,第二弛豫散射角α2=0.22。结论两项式Cole-Cole数学模型可以表征大鼠红细胞阻抗频谱的β和δ弛豫行为。β散射由细胞膜的容性响应构成,δ散射来源于细胞内血红蛋白的频率响应。Objective To establish binomial equation Cole-Cole mathematical modeling methods and the parameters in rat erythrocyte impedance spectra,as well as to discuss the sources of the β and the δ dispersion.Methods The impedance of erythrocyte suspension was measured with Agilent 4294A impedance analyzer within the frequency range of 0.01~100 MHz.The residual error of the fitting curve was determined with non-linear numerical calculation of Cole-Cole equation.Then the Cole-Cole mathematical model parameters of rat erythrocyte were established with the Bode and the Nyquist plots.Results The Cole-Cole mathematical model parameters of rat erythrocyte impedance spectrum： the high-frequency limit of impedance R∞=63/Ωcm,the 1st relaxation impedance increment ΔR1=59/Ωcm,the 1st characteristic frequency fC1 =2.4 MHz,the 1st relaxation dispersion angle α1=0.07,the 2nd relaxation impedance increment ΔR2=48/Ωcm,the 2nd characteristic frequency fC2 =370 MHz,the 2nd relaxation dispersion angle α2=0.22.Conclusion The β and δ relaxation behavior of rat erythrocyte impedance spectrum can be expressed with the two-type Cole-Cole mathematical model.The β dispersion is formed from the capacitive response of cell membrane and the δ dispersion from frequency response of intracellular hemoglobin.

关 键 词：红细胞悬浮液 阻抗谱 Cole-Cole数学模型 

分 类 号：R318[医药卫生—生物医学工程] Q27[医药卫生—基础医学]