人血液介电谱Cole-Cole数学模型的解析  

The Cole-Cole Mathematical Model Analysis of Dielectric Spectra of Human Blood

作　　者：王力[1] 马青[1] 陈林[1] 宫宇[1] 丰明俊[1] 

机构地区：[1]宁波大学医学院,宁波315211

出　　处：《中国生物医学工程学报》2010年第2期253-258,共6页Chinese Journal of Biomedical Engineering

基　　金：浙江省自然科学基金(Y207698);浙江省新苗人才计划(2008R40G2070053);宁波市自然科学基金(2009A610176)

摘　　要：通过Cole-Cole方程的数值计算,对人血液介电谱实验数据进行曲线拟合的残差分析,建立人血液Cole-Cole数学模型参数。在104～108 Hz频率范围,使用Agilent 4294A阻抗分析仪测量30人70例全血导纳,并利用Cole-Cole方程的非线性数值计算,对实测数据进行曲线拟合,计算曲线拟合的残差数值。人血液介电谱的Cole-Cole数学模型参数:高频极限介电常数εh=45±5;第一弛豫介电增量Δε1=6 200±350、第一特征频率fC1=(500±5)kHz、第一弛豫分布系数β1=0.86±0.06、第二弛豫介电增量Δε2=990±310、第二特征频率fC2=(2.7±0.1)MHz、第二弛豫分布系数β2=0.975±0.015、低频极限电导率κl=(4.15±0.85)mS/cm。人血液细胞介电行为可以通过介电频谱、Cole-Cole图、介电损耗因子频谱、电导率虚部频谱及损耗角正切频谱等5个频谱进行表征,建立Cole-Cole模型参数。This study is to analyze the curve fitting residual error of the human blood dielectric spectroscopy to establish the parameter of the Cole-Cole mathematical model.The admittance（conductance and capacitance） of 70 blood samples in 30 people were measured by the Agilent 4294A impedance analyzer over the frequency range of 104 ～ 108Hz,and nonlinear numerical calculation of the Cole-Cole equation was used to analyze the curve fitting residual error.The Cole-Cole mathematical model parameters of dielectric spectroscopy of human blood cells were： the high frequency limit of the permittivity εh = 45 ± 5;the 1st dielectric increment Δε1 = 6 200 ± 350,the 1st characteristic frequency fC1 =（500 ± 5） kHz,the 1st relaxation coefficient β1 = 0.86 ± 0.06,the 2nd dielectric increment Δε2 = 990 ± 310,the 2nd characteristic frequency fC2 =（2.7 ± 0.1）MHz,the 2nd relaxation coefficient β2 = 0.975 ± 0.015,the low frequency limit of conductivity κl =（4.15 ± 0.85） mS/cm.The dielectric behavior of human blood could be effectively characterized by the permittivity and conductivity spectroscopy,the complex plan plots,dielectric loss factor,imaginary of conductivity and loss tangent.

关 键 词：血液 介电频谱 Cole-Cole方程 

分 类 号：R318[医药卫生—生物医学工程] Q64[医药卫生—基础医学]