volume | PIER Journals

Abstract

A new local method for magnetic resonance electrical properties tomography (EPT), dubbed transverse-EPT (T-EPT), is introduced. This approach iteratively optimizes the dielectric properties (conductivity and permittivity) and the z-component of the electric field strength, exploiting the locally E-polarized field structure typically present in the midplane of a birdcage radiofrequency (RF) coil. In contrast to conventional Helmholtz-based EPT, T-EPT does not impose homogeneity assumptions on the object, and requires only first order differences, which makes the method more accurate near tissue boundaries and more noise robust. Additionally, in contrast to integral equation-based approaches, estimation of the incident fields is not required. The EPT approach is derived from Maxwell's equations and evaluated on simulated data of a realistic tuned RF coil model to demonstrate its potential.

1. Balidemaj, E., H. P. Kok, G. Schooneveldt, A. L. van Lier, R. F. Remis, L. J. Stalpers, H. Westerveld, A. J. Nederveen, C. A. van den Berg, and J. Crezee, "Hyperthermia treatment planning for cervical cancer patients based on electrical conductivity tissue properties acquired in vivo with EPT at 3 T MRI," Int. J. Hyperther., Vol. 32, No. 5, 558-568, 2016.
doi:10.3109/02656736.2015.1129440 Google Scholar

2. Gandhi, O. P. and X. B. Chen, "Specific absorption rates and induced current densities for an anatomy-based model of the human for exposure to time-varying magnetic fields of MRI," Magn. Reson. Med., Vol. 41, No. 1, 816-823, 1999.
doi:10.1002/(SICI)1522-2594(199904)41:4<816::AID-MRM22>3.0.CO;2-5 Google Scholar

3. Kim, S. Y., J. Shin, D. H. Kim, M. J. Kim, E. K. Kim, H. J. Moon, and J. H. Yoon, "Correlation between conductivity and prognostic factors in invasive breast cancer using magnetic resonance electric properties tomography (MREPT)," Eur. Radiol., Vol. 26, No. 7, 2317-2326, 2016.
doi:10.1007/s00330-015-4067-7 Google Scholar

4. Tha, K. K., U. Katscher, S. Yamaguchi, C. Stehning, S. Terasaka, N. Fujima, K. Kudo, T. Yamamoto, M. van Cauteren, and H. Shirat, "Noninvasive electrical conductivity measurement by MRI: A test of its validity and the electrical conductivity characteristics of glioma," Eur. Radiol., Vol. 28, No. 1, 348-355, 2018.
doi:10.1007/s00330-017-4942-5 Google Scholar

5. Katscher, U. and C. A. T. van den Berg, "Electric properties tomography: Biochemical, physical and technical background, evaluation and clinical applications," NMR Biomed., Vol. 30, No. 8, e3729, 2017.
doi:10.1002/nbm.3729 Google Scholar

6. Liu, J., U. Katscher, and B. He, "Electrical properties tomography based on B1 maps in MRI: Principles, applications, and challenges," IEEE Trans. Biomed. Eng., Vol. 64, No. 11, 2515-2530, 2017.
doi:10.1109/TBME.2017.2725140 Google Scholar

7. Leijsen, R., W. Brink, C. van den Berg, A. Webb, and R. Remis, "Electrical properties tomography: A methodological review," Diagnostics, Vol. 11, No. 2, 176, 2021.
doi:10.3390/diagnostics11020176 Google Scholar

8. van den Bergen, B., C. C. Stolk, J. B. van den Berg, J. J. Lagendijk, and C. A. van den Berg, "Ultra fast electromagnetic field computations for RF multi-transmit techniques in high field MRI," Phys. Med. Biol., Vol. 54, No. 5, 1253-1264, 2009.
doi:10.1088/0031-9155/54/5/010 Google Scholar

9. Balidemaj, E., C. A. van den Berg, J. Trinks, A. L. van Lier, A. J. Nederveen, L. J. Stalpers, J. A. Lukas, H. Crezee, and R. F. Remis, "CSI-EPT: A contrast source inversion approach for improved MRI-based electric properties tomography," IEEE Trans. Med. Imag., Vol. 34, No. 9, 1788-1796, 2015.
doi:10.1109/TMI.2015.2404944 Google Scholar

10. Fuchs, P. S., S. Mandija, P. R. Stijnman, W. M. Brink, C. A. van den Berg, and R. F. Remis, "First-order induced current density imaging and electrical properties tomography in MRI," IEEE T. Comp. Imag., Vol. 4, No. 4, 624-631, 2018. Google Scholar

11. Haacke, E. M., L. S. Petropoulos, E. W. Nilges, and D. H. Wu, "Extraction of conductivity and permittivity using magnetic resonance imaging," Phys. Med. Biol., Vol. 36, No. 6, 723-734, 1991.
doi:10.1088/0031-9155/36/6/002 Google Scholar

12. Voigt, T., U. Katscher, and O. Doessel, "Quantitative conductivity and permittivity imaging of the human brain using electric properties tomography," Magn. Reson. Med., Vol. 66, No. 2, 456-466, 2011.
doi:10.1002/mrm.22832 Google Scholar

13. Marques, J. P., D. K. Sodickson, O. Ipek, C. M. Collins, and R. Gruetter, "Single acquisition electrical property mapping based on relative coil sensitivities: A proof-of-concept demonstration," Magn. Reson. Med., Vol. 74, No. 1, 185-195, 2015.
doi:10.1002/mrm.25399 Google Scholar

14. Hampe, N., M. Herrmann, T. Amthor, C. Findeklee, M. Doneva, and U. Katscher, "Dictionary-based electric properties tomography," Magn. Reson. Med., Vol. 81, No. 1, 342-349, 2019.
doi:10.1002/mrm.27401 Google Scholar

15. Mandija, S., E. F. Meliad`o, N. R. Huttinga, P. R. Luijten, and C. A. van den Berg, "Opening a new window on MR-based electrical properties tomography with deep learning," Sci. Rep., Vol. 9, No. 1, 1-9, 2019.
doi:10.1038/s41598-019-45382-x Google Scholar

16. Hong, R., S. Li, J. Zhang, Y. Zhang, N. Liu, Z. Yu, and Q. H. Liu, "3-D MRI-based electrical properties tomography using the volume integral equation method," IEEE Trans. Microw. Theory Tech., Vol. 65, No. 12, 4802-4811, 2017.
doi:10.1109/TMTT.2017.2725830 Google Scholar

17. Leijsen, R. L., W. M. Brink, C. A. van den Berg, A. G. Webb, and R. F. Remis, "3-D contrast source inversion-electrical properties tomography," IEEE Trans. Med. Imag., Vol. 37, No. 9, 2080-2089, 2018.
doi:10.1109/TMI.2018.2816125 Google Scholar

18. Serralles, J. E. C., I. I. Giannakopoulos, B. Zhang, C. Ianniello, M. A. Cloos, A. G. Polimeridis, J. K. White, D. K. Sodickson, L. Daniel, and R. Lattanzi, "Noninvasive estimation of electrical properties from magnetic resonance measurements via global Maxwell tomography and match regularization," IEEE Trans. Biomed. Eng., Vol. 67, No. 1, 3-15, 2019.
doi:10.1109/TBME.2019.2907442 Google Scholar

19. Van Lier, A. L., D. O. Brunner, K. P. Pruessmann, D. W. Klomp, P. R. Luijten, J. J. Lagendijk, and C. A. van den Berg, "B1+ phase mapping at 7 T and its application for in vivo electrical conductivity mapping," Magn. Reson. Med., Vol. 67, No. 2, 552-561, 2012.
doi:10.1002/mrm.22995 Google Scholar

20. Christ, A., et al. "The Virtual Family — Development of surface-based anatomical models of two adults and two children for dosimetric simulation," Phys. Med. Biol., Vol. 55, No. 2, N23-N38, 2009.
doi:10.1088/0031-9155/55/2/N01 Google Scholar

21. Mandija, S., A. Sbrizzi, U. Katscher, P. R. Luijten, and C. A. van den Berg, "Error analysis of helmholtz-based MR-electrical properties tomography," Magn. Reson. Med., Vol. 80, No. 1, 90-100, 2018.
doi:10.1002/mrm.27004 Google Scholar

22. Lee, S., S. Bulumulla, F. Wiesinger, L. Sacolick, W. Sun, and I. Hancu, "Tissue electrical property mapping from zero echo-time magnetic resonance imaging," IEEE Trans. Med. Imag., Vol. 34, No. 2, 554-550, 2014. Google Scholar

23. Guo, L., J. Jin, M. Li, Y. Wang, C. Liu, F. Liu, and S. Crozier, "Reference-based integral MR-EPT: Simulation and experiment studies at 9.4 T MRI," IEEE Trans. Biomed. Eng., Vol. 66, No. 7, 1832-1843, 2018.
doi:10.1109/TBME.2018.2879667 Google Scholar

24. Hafalir, F. S., O. F. Oran, N. Gurler, and Y. Z. Ider, "Convection-reaction equation based magnetic resonance electrical properties tomography (cr-MREPT)," IEEE Trans. Med. Imag., Vol. 33, No. 2, 777-793, 2014.
doi:10.1109/TMI.2013.2296715 Google Scholar

25. Vernickel, P., P. R¨oschmann, C. Findeklee, K. M. L¨udeke, C. Leussler, J. Overweg, U. Katscher, I. Grasslin, and K. Schuneman, "Eight-channel transmit/receive body MRI coil at 3 T," Magn. Reson. Med., Vol. 58, No. 2, 381-389, 2007.
doi:10.1002/mrm.21294 Google Scholar

26. Vaughan, J. T., H. P. Hetherington, J. O. Otu, J. W. Pan, and G. M. Pohost, "High frequency volume coils for clinical NMR imaging and spectroscopy," Magn. Reson. Med., Vol. 32, No. 2, 206-218, 1994.
doi:10.1002/mrm.1910320209 Google Scholar

27. Arduino, A., O. Bottauscio, M. Chiampi, and L. Zilberti, "Magnetic resonance-based imaging of human electric properties with phaseless contrast source inversion," Inverse Probl., Vol. 34, No. 8, 084002, 2018.
doi:10.1088/1361-6420/aac536 Google Scholar

28. Gurler, N. and Y. Z. Ider, "Gradient-based electrical conductivity imaging using MR phase," Magn. Reson. Med., Vol. 77, No. 1, 137-150, 2017.
doi:10.1002/mrm.26097 Google Scholar

29. Liu, J., X. Zhang, S. Schmitter, P. F. van de Moortele, and B. He, "Gradient-based electrical properties tomography (g EPT): A robust method for mapping electrical properties of biological tissues in vivo using magnetic resonance imaging," Magn. Reson. Med., Vol. 74, No. 3, 634-646, 2015.
doi:10.1002/mrm.25434 Google Scholar

Dr. Reijer Leijsen

Dr. Wyger Brink

Dr. Xin An

Prof. Andrew Webb

Dr. Rob F. Remis