Comparación entre la función de cole-cole y la función de Debye para modelar el tejido biológico

C. Calderón-Ramón, Héctor Daniel López-Calderón, J. E. Escalante-Martínez, M. I. Cruz-Orduña
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Abstract

The study of the biological tissue varies its behavior, in function of the frequency to which it is subjected. The functions of Cole-Cole, Debye and Lorentz are considered the most used to study the parameters of conductivity and permittivity of biological tissue such as: liver, stomach, gray matter, pancreas, blood, breast tissue to name a few. Depending on the frequency, there may be three different relaxation times. These depend on the nature and physical characteristics of the tissue and its effect in the presence of an electromagnetic signal. The Cole-Cole function is most appropriate when considering a study in the frequency domain, and the Debye function is established to perform the study in the time domain. It is of particular interest to make a comparison between the methods of Cole-Cole and Debye, to define the advantages and disadvantages of each of them. The Lorentz function is used for frequencies of the Tera-Hertz order. Comparative graphs are obtained between both for the biological tissues mentioned above. For each of them the electrical parameters are calculated in a frequency range between 100 Hz and 10 GHz.
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coll -cole功能与Debye功能在生物组织建模中的比较
对生物组织的研究改变了它的行为,这是它所受到的频率的函数。Cole-Cole函数、Debye函数和Lorentz函数被认为最常用于研究生物组织的电导率和介电常数参数,如:肝脏、胃、灰质、胰腺、血液、乳腺组织等等。根据频率的不同,可能有三种不同的松弛时间。这些取决于组织的性质和物理特性及其在电磁信号存在下的效果。考虑频域研究时,Cole-Cole函数是最合适的,建立Debye函数来进行时域研究。对Cole-Cole和Debye的方法进行比较是特别有趣的,以确定每种方法的优点和缺点。洛伦兹函数用于太赫兹阶的频率。对于上述生物组织,得到两者之间的比较图。它们的电气参数都是在100hz到10ghz的频率范围内计算的。
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