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2015-05-01
Full Wave Modeling of Brain Waves as Electromagnetic Waves (Invited Paper)
By
Progress In Electromagnetics Research, Vol. 151, 95-107, 2015
Abstract
This paper describes a novel technique which has the potential to make a significant impact on the mapping of the human brain. This technique has been designed for 3D full-wave electromagnetic simulation of waves at very low frequencies and has been applied to the problem of modeling of brain waves which can be modeled as electromagnetic waves lying in the frequency range of 0.1-100 Hz. The use of this technique to model the brain waves inside the head enables one to solve the problem on a regular PC within 24 hrs, and requires just 1 GB of memory, as opposed to a few years of run time and nearly 200 Terabyte (200,000 GB) needed by the conventional FDTD (Finite Difference Time Domain) methods. The proposed technique is based on scaling the material parameters inside the head and solving the problem at a higher frequency (few tens of MHz) and then obtaining the actual fields at the frequency of interest (0.1-100 Hz) by using the fields computed at the higher frequency. The technique has been validated analytically by using the Mie Series solution for a homogeneous sphere, as well as numerically for a sphere, a finite lossy dielectric slab and the human head using the conventional Finite Difference Time Domain (FDTD) Method. The presented technique is universal and can be used to obtain full-wave solution to low-frequency problems in electromagnetics by using any numerical technique.
Citation
Sidharath Jain, Raj Mittra, and Joe Wiart, "Full Wave Modeling of Brain Waves as Electromagnetic Waves (Invited Paper)," Progress In Electromagnetics Research, Vol. 151, 95-107, 2015.
doi:10.2528/PIER15011404
References

1. Suppes, P. and B. Han, "Brain-wave representation of words by superposition of a few sine waves," Proc. Natl. Acad. Sci., Vol. 97, No. 15, 8738-8748, Jul. 18, 2000.
doi:10.1073/pnas.140228397

2. Pasley, B. N., S. V. David, N. Mesgarani, A. Flinker, S. A. Shamma, et al. "Reconstructing speech from human auditory cortex," PLoS Biol.., Vol. 10, No. 1, e1001251, 2012, doi: 10.1371/journal.pbio.1001251.
doi:10.1371/journal.pbio.1001251

3. Hoole, P. R. P., K. Pirapaharan, S. A. Basar, R. Ismail, D. L. D. A. Liyanage, S. S. H. M. U. Senanayake, and S. R. H. Hoole, "Autism, EEG and brain electromagnetics research," 2012 IEEE EMBS Conference on Biomedical Engineering and Sciences (IECBES), 541-543, Dec. 17–19, 2012, doi: 10.1109/IECBES.2012.6498036.

4. Yasuhara, A., "Correlation between EEG abnormalities and symptoms of autism spectrum disorder (ASD)," Brain and Development, Vol. 32, No. 10, 791-798, Nov. 2010, ISSN 0387-7604, 10.1016/j.braindev.2010.08.010.
doi:10.1016/j.braindev.2010.08.010

5. F¨unfgeld, E. W., M. Baggen, P. Nedwidek, B. Richstein, and G. Mistlberger, "Double-blind study with phosphatidylserine (PS) in parkinsonian patients with senile dementia of Alzheimer’s type (SDAT)," Prog. Clin. Biol. Res., Vol. 317, 1235-1246, 1989.

6. Ponomareva, N. V., N. D. Selesneva, and G. A. Jarikov, "EEG alterations in subjects at high familial risk for Alzheimer’s disease," Neuropsychobiology, Vol. 48, 152-159, 2003, doi: 10.1159/000073633.
doi:10.1159/000073633

7. NeuroSky Inc. "Brain wave signal (EEG) of NeuroSky, Inc.,", Dec. 2009.

8. Yasui, Y., "A brainwave signal measurement and data processing technique for daily life applications," J. Physiol. Anthropol., Vol. 28, No. 3, 145-150, 2009.
doi:10.2114/jpa2.28.145

9. Fleur, K. L., K. Cassady, A. Doud, K. Shades, E. Rogin, and B. He, "Quadcopter control in three-dimensional space using a noninvasive motor imagery-based brain-computer interface," J. Neural. Eng., Vol. 10, 046003, Jun. 4, 2013, doi: 10.1088/1741-2560/10/4/046003.

10. Doud, A. J., J. P. Lucas, M. T. Pisansky, and B. He, "Continuous three-dimensional control of a virtual helicopter using a motor imagery based brain-computer interface," PLoS ONE, Vol. 6, e26322, 2011.
doi:10.1371/journal.pone.0026322

11. Galan, F., M. Nuttin, E. Lew, P. W. Ferrez, G. Vanacker, J. Philips, and R. del Millan, "A brainactuated wheelchair: Asynchronous and non-invasive brain-computer interfaces for continuous control of robots," Clin. Neurophysiol., 1192159-1192169, 2008.

12. Popescu, F., S. Fazli, Y. Badower, B. Blankertz, and K.-R. Muller, "Single trial classification of motor imagination using 6 dry EEG electrodes," PLoS ONE, Vol. 2, No. 7, e637, 2007, doi: 10.1371/journal.pone.0000637.
doi:10.1371/journal.pone.0000637

13. Grozea, C., C. D. Voinescu, and S. Fazli, "Bristle-sensors — Low-cost flexible passive dry EEG electrodes for neurofeedback and BCI applications," J. Neural. Eng., Vol. 8, 025008, 2011, doi: 10.1088/1741-2560/8/2/025008.
doi:10.1088/1741-2560/8/2/025008

14. Zhu, J. and D. Jiao, "A unified finite-element solution from zero frequency to microwave frequencies for full-wave modeling of large scale three-dimensional on-chip interconnect structures," IEEE Trans. Adv. Packag., Vol. 31, No. 4, 873-881, Nov. 2008.

15. Gope, D., A. Ruehli, and V. Jandhyala, "Solving low-frequency EM-CKT problems using the PEEC method," IEEE Trans. Adv. Packag., Vol. 30, No. 2, 313-320, May 2007.
doi:10.1109/TADVP.2007.896000

16. Peratta, C. and A. Peratta, "Dielectric properties of biological tissues," Topics in Engineering, Modelling the Human Body Exposure to ELF Electric Fields, Vol. 47, 21-40, 2010.

17. Asami, K., "Dielectric properties of biological tissues in which cells are connected by communicating junctions," Journal of Physics D — Applied Physics, Vol. 40, No. 12, 3718-3727, Jun. 21, 2007, doi: 10.1088/0022-3727/40/12/027.
doi:10.1088/0022-3727/40/12/027

18. Kuang, W. and S. O. Nelson, "Low-frequency dielectric properties of biological tissues: A review with some new insights," IEEE Transactions of the ASAE, Vol. 41, No. 1, 173-184, Jan.–Feb. 1998.
doi:10.13031/2013.17142

19. Gabriel, C., S. Gabriel, and E. Corthout, "The dielectric properties of biological tissues. 1. Literature survey," Physics in Medicine and Biology, Vol. 41, No. 11, 2231-2249, Nov. 1996, doi: 10.1088/0031-9155/41/11/001.
doi:10.1088/0031-9155/41/11/001

20. Gabriel, S., R. W. Lau, and C. Gabriel, "The dielectric properties of biological tissues. 2. Measurements in the frequency range 10Hz to 20GHz," Physics in Medicine and Biology, Vol. 41, No. 11, 2251-2269, Nov. 1996, doi: 10.1088/0031-9155/41/11/002.
doi:10.1088/0031-9155/41/11/002

21. Gabriel, S., R. W. Lau, and C. Gabriel, "The dielectric properties of biological tissues. 3. Parametric models for the dielectric spectrum of tissues," Physics in Medicine and Biology, Vol. 41, No. 11, 2271-2293, Nov. 1996, doi: 10.1088/0031-9155/41/11/003.
doi:10.1088/0031-9155/41/11/003

22. Bossetti, C. A., M. J. Birdno, and W. M. Grill, "Analysis of the quasi-static approximation for calculating potentials generated by neural stimulation," Journal of Neural Engineering, Vol. 5, No. 1, 44-53, Mar. 2008, doi: 10.1088/1741-2560/5/1/005.
doi:10.1088/1741-2560/5/1/005

23. Bohren, C. F. and D. R. Huffman, Absorption and Scattering of Light by Small Particles, 82-101, Wiley-VCH, Mar. 1998.
doi:10.1002/9783527618156