Analysis of Impedance Spectroscopy Measurements of Biological Tissue using the Distribution of Relaxation Times Method

Roberto Giovanni Ramírez-Chavarría, Celia Sánchez-Pérez, Daniel Matatagui

Abstract

This work proposes a method for analysing electrical impedance spectroscopy (EIS) measurements of biological tissue in the range of 100 Hz to 1 MHz by means of the distribution of relaxation times (DRT) to evaluate and study the different relaxation time constant involved in electrical response. We numerically analyse different configurations of RC circuits and compare the electrical response in time domain by DRT with that of classical EIS representation in frequency domain as Bode plots. Experimental validation of the technique using RC circuits, gives an error of less than 1% for the EIS measurement system with respect to theoretical calculation. We present preliminary measurements for WISTAR rat tissue samples of spleen, lung and kidney fixed in formaldehyde solution at 3.8% founding a more detailed occurrence of relaxation mechanism that could provide useful information about the structure and composition of biological tissues in a more precise way.

References

  1. Barsoukov, E. and Macdonald, J. R., 2005. Impedance Spectroscopy: Theory, Experiment, and Applications. John Wiley & Sons. New Jersey, 2nd edition.
  2. Ciuchi, I. V., Curecheriu, L. P, Ciomaga, C. E., Sandu A. V. and Mitoseriu L., 2010. Impedance Spectroscopy characterization of bone tissues. Journal of Advanced Research in Physics 1(1), 011007.
  3. Dion, F. and Lasia, A., 1999. The use of regularization methods in the deconvolution of underlying distributions in electrochemical processes. Journal of Electroanalytical Chemistry 475, pp. 28-37.
  4. Keshtkar, A., Slehnia, Z., Somi, M. H. and Eftekharsadat, A. T., 2012. Some early results related to electrical impedance of normal and abnormal gastric tissue. Physica Medica 29, pp. 19-24.
  5. Littwiz, C., Rghab, T. and Gaddes, L., 1990. Cell constant of the tetrapolar conductivity cell. Medicine & Biology Engineering & Computing 28, pp. 587-590.
  6. Macutkevic, J., Banys, J., and Matulis, A., 2004. Determination of the distribution of relaxation times from dielectric spectra. Nonlinear Analysis 9, pp. 75- 84.
  7. Martinsen, O. G., Grimnes, S. and Schawn, H. P., 2002. Interface phenomena and dielectric properties of biological tissue. Encyclopedia of Surface and Colloid Science, pp. 2643-2652.
  8. Osaka, T., Momma, T., Mukoyama, D. and Nara, H., 2012. Proposal of novel equivalent circuit for electrochemical impedance analysis of commercially available lithium ion battery. Journal of Power Sources 205, pp. 483- 486.
  9. Parramon D., Erill, I., Guimerà A., Ivorra A., Muñoz, A., Sola A., Fondevila, C., García-Valdecasas, J. C. and Villa, R., 2007. In vivo detection of liver steatosis in rats based on impedance spectroscopy. Physiological Measurement 28, pp. 813-828.
  10. Prakash S., Karnes M. P., Sequin E. K., West J. D., Hitchcock, C. L., Nichols, S. D., Bloomston, M., Abdel-Misih, S. R., Schmidt, C. R., Martin Jr, E. W., Povoski, S. P. and Subramaniam, V. V., 2015. Ex vivo electrical impedance measurements on excised hepatic tissue from human patients with metastatic colorectal cancer. Physiological Measurement 36, pp. 315-328.
  11. Saccoccio, M., Wan, T., Chen, C. and Ciucci, F., 2014. Optimal Regularization in Distribution of Relaxation Times applied to Electrochemical Impedance Spectroscopy: Ridge and Lasso Regression Methods - A Theoretical and Experimental Study. Electrochimica Acta 147, pp. 470-482.
  12. Tikhonov, A., Goncharski, A., Stepanov, V., and Yagola, A., 1995. Numerical methods for the solution of illposed problems, Kluwer Academic Publishers.
  13. Winterhalter, J., Ebling, D., Maier, D., and Honerkamp, J., 1999. Analysis of admittance data: Comparison of a parametric and a nonparametric method. Journal of Computational Physics 153, pp. 139-159.
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Paper Citation


in Harvard Style

Ramírez-Chavarría R., Sánchez-Pérez C. and Matatagui D. (2017). Analysis of Impedance Spectroscopy Measurements of Biological Tissue using the Distribution of Relaxation Times Method . In Proceedings of the 10th International Joint Conference on Biomedical Engineering Systems and Technologies - Volume 1: BIODEVICES, (BIOSTEC 2017) ISBN 978-989-758-216-5, pages 224-228. DOI: 10.5220/0006253902240228


in Bibtex Style

@conference{biodevices17,
author={Roberto Giovanni Ramírez-Chavarría and Celia Sánchez-Pérez and Daniel Matatagui},
title={Analysis of Impedance Spectroscopy Measurements of Biological Tissue using the Distribution of Relaxation Times Method},
booktitle={Proceedings of the 10th International Joint Conference on Biomedical Engineering Systems and Technologies - Volume 1: BIODEVICES, (BIOSTEC 2017)},
year={2017},
pages={224-228},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0006253902240228},
isbn={978-989-758-216-5},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 10th International Joint Conference on Biomedical Engineering Systems and Technologies - Volume 1: BIODEVICES, (BIOSTEC 2017)
TI - Analysis of Impedance Spectroscopy Measurements of Biological Tissue using the Distribution of Relaxation Times Method
SN - 978-989-758-216-5
AU - Ramírez-Chavarría R.
AU - Sánchez-Pérez C.
AU - Matatagui D.
PY - 2017
SP - 224
EP - 228
DO - 10.5220/0006253902240228