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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 a two-dimensional Cole-Cole mathematical model of rat erythrocyte impedance spectroscopy and its model parameters to explore the sources of β-scattering and δ-scattering in the impedance spectroscopy of erythrocytes. Methods Impedance measurements of erythrocyte suspensions were performed using the Agilent4294A impedance analyzer in the range of 0.01-100 MHz. The residuals of the curve fitted to the Bode plots and Nyquist plots were established using the non-linear numerical calculation of the Cole-Cole equation Rat erythrocyte Cole-Cole mathematical model parameters. Results Cole-Cole mathematical model parameters of rat erythrocyte impedance spectroscopy: high frequency impedance limit R∞ = 63 / Ωcm; first increment of relaxation impedance ΔR1 = 59 / Ωcm, first characteristic frequency fC1 = 2.4 MHz, The relaxation scattering angle α1 = 0.07, the second relaxation impedance increment ΔR2 = 48 / Ωcm, the second characteristic frequency fC2 = 370 MHz and the second relaxation scattering angle α2 = 0.22. Conclusions The binomial Cole-Cole mathematical model can characterize the beta and delta relaxation behavior of rat erythrocyte impedance spectroscopy. Beta scatter consists of the capacitive response of the cell membrane, and δ scatter is derived from the frequency response of intracellular hemoglobin.