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Mathematical Problems in Engineering
Volume 2017, Article ID 7249672, 7 pages
Research Article

Effective Permittivity of Biological Tissue: Comparison of Theoretical Model and Experiment

Department of Biomedical Engineering, School of Electronic Information Engineering, Xi’an Technological University, Xi’an 710021, China

Correspondence should be addressed to Li Gun; nc.ude.utax@nugil

Received 12 March 2017; Revised 14 May 2017; Accepted 25 May 2017; Published 21 June 2017

Academic Editor: Marek Lefik

Copyright © 2017 Li Gun et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Permittivity of biological tissue is a critical issue for studying the biological effects of electromagnetic fields. Many theories and experiments were performed to measure or explain the permittivity characteristics in biological tissue. In this paper, we investigate the permittivity parameter in biological tissues via theoretical and experimental analysis. Firstly, we analyze the permittivity characteristic in tissue by using theories on composite material. Secondly, typical biological tissues, such as blood, fat, liver, and brain, are measured by HP4275A Multi-Frequency LCR Meter within 10 kHz to 10 MHz. Thirdly, experimental results are compared with the Bottcher-Bordewijk model, the Skipetrov equation, and the Maxwell-Gannett theory. From the theoretical perspective, blood and fat are regarded as the composition of liver and brain because of the high permittivity in blood and the opposite in fat. Volume fraction of blood in liver and brain is analyzed theoretically, and the applicability and the limitation of the models are also discussed. These results benefit further study on local biological effects of electromagnetic fields.