Cole-Cole方程参数对细胞介电频谱的影响  

Influence of Cole-Cole Equation Parameters on Dielectric Spectrum of Cell

作　　者：张倩[1] 方云[1] 李会英[2] 汤治元[1] 赵伟红[1] 马青[1] 

机构地区：[1]宁波大学医学院,浙江宁波315211 [2]宁波大学医学院附属医院,浙江宁波315000

出　　处：《宁波大学学报（理工版）》2014年第4期115-121,共7页Journal of Ningbo University：Natural Science and Engineering Edition

基　　金：国家自然科学基金(51277099);宁波市自然科学基金(2012A610211;2013A610211);浙江省新苗人才计划(2013R405060)

摘　　要：为探讨Cole-Cole方程8个参数(Δε1,Δε2,εh,κl,f1,f2,β1,β2)对细胞介电频谱的影响,采用改变单个参数,固定其他参数的方法,观察介电频谱的变化.结果显示:Δε1影响低频介电频谱和Cole-Cole(ε′)图;Δε2影响高频介电频谱、Cole-Cole(ε′)图和Cole-Cole(κ′)图;εh影响ε′(f)、Cole-Cole(ε′)图和tgδ(f);κl对κ′(f)和Cole-Cole(κ′)图有影响;f1影响低频介电频谱;f2影响高频介电频谱;β1影响Cole-Cole(ε′)和tgδ(f);β2对高频介电频谱有影响.可见Cole-Cole方程作为细胞介电频谱的数学模型,其参数变化有规律可循.In order to investigate the effect of the eight parameters（Δε1, Δε2, εh, κl, f1, f2, β1, β2） of the Cole-Cole formula on the dielectric spectrum of cell, the changing behaviors of the dielectric spectrum are observed as one parameter varies while the other parameters are fixed. Found from the results are that the parameter Δε1 mainly affects the low-frequency dielectric parameters and the Cole-Cole（ε′） plot. The parameter Δε2 has some effects mainly on the high-frequency dielectric parameters and the Cole-Cole（ε′） plot as well as the Cole-Cole（κ′） plot. The ε′（f）, Cole-Cole（ε′） plot and tgδ（f） are determined principally by the parameter εh. The parameter κlinfluences the κ′（f） and Cole-Cole（κ′） plot. The low-frequency dielectric spectra is mainly determined by the first frequency f1. The second frequency f2 affects the high-frequency dielectric spectra. The Cole-Cole（ε′） plot and tgδ（f） are mainly induced by the parameter β1. Changing the value of β2 will lead to the changes in the high-frequency dielectric spectra. It is obvious that the Cole-Cole equation can be regarded as the mathematical model of the dielectric spectra of cell, and the variation of its parameters observes specific rules.

关 键 词：Cole-Cole方程 介电频谱 介电损耗因子 损耗角正切 Cole-Cole图 

分 类 号：Q64[生物学—生物物理学]