Conductivity Determination of Deep Gray Matter Nuclei Utilizing Susceptibility-Based Delineation
Ulrich Katscher1, Mussa Gagiyev1, and Jakob Meineke1

1Philips Research Europe, Hamburg, Germany

Synopsis

Deep gray matter nuclei (DGMN) in the human brain play an important role for numerous diseases like Alzheimer’s disease. Thus, the characterization of DGMN in the framework of multiple MR-based physiologic parameters (like magnetic susceptibility or electric conductivity) is expected to be helpful for understanding these diseases. This study investigates – to the best of our knowledge, for the first time - the electric conductivity of DGMN in healthy volunteers, reflecting the electrolyte content of these nuclei. Conductivity determination is boosted by utilizing geometry information obtained from susceptibility maps during conductivity reconstruction.

Purpose

This study (1) presents a method how to investigate electric conductivity of deep gray matter nuclei, and (2) reports conductivity values of deep gray matter nuclei of healthy volunteers as reference for corresponding future clinical studies.

Introduction

Deep gray matter nuclei (DGMN) in the human brain play an important role for numerous diseases like Alzheimer’s, Parkinson's, or Huntington’s disease. Thus, the characterization of DGMN in the framework of the multiple MR-based physiologic parameters (like magnetic susceptibility or electric conductivity) is expected to be helpful for understanding these diseases. This study investigates the electric conductivity of DGMN in healthy volunteers, applying phase-based “Electric Properties Tomography” (EPT) [1].

Theory

Electric conductivity can be derived from the MR phase image, as long as this phase is only related to B1 effects and not affected by B0 effects (i.e., main field inhomogeneity or off-resonance) [1]. This condition is fulfilled, e.g., for spin-echo-based sequences and for steady-state-free-precession (SSFP) sequences. Due to their superior SNR efficiency, SSFP sequences outperform spin-echo-based sequences, and thus, are frequently used for phase-based EPT [2,3]. On the other hand, conductivity reconstruction benefits from including a-priori knowledge about delineation of different tissue areas, since EPT is typically undefined along tissue boundaries [1]. Unfortunately, DGMN yield very weak contrast on SSFP images, hampering a reliable delineation of these areas. Contrast of DGMN is much higher on quantitative susceptibility maps due to their varying iron content [4]. Thus, this study utilizes quantitative susceptibility mapping (QSM) for delineation of DGMN as geometric input for conductivity reconstructions based on SSFP phase images.

Methods

The study investigated 18 healthy volunteers (all male, age 33-60, informed consent obtained) with a commercial 3T system (Philips Ingenia, Best, The Netherlands). For all volunteers, SSFP scans were performed to obtain the B1-related phase (TR/TE = 3.3/1.6 ms, flip angle 25°, voxel size 0.9×0.9×1.0 mm3). Additionally, susceptibility maps were acquired based on 7-echo Fast-Field-Echo (FFE) scans (TR/TE/ΔTE = 30/3/4 ms, flip angle 14°, voxel size 0.6×0.6×1.0 mm3) for all volunteers. Quantitative susceptibilities maps were reconstructed using an algorithm jointly performing background field removal and dipole inversion [5], and registered to the SSFP scan of the corresponding volunteer. With φ the image phase, μ0 the magnetic vacuum permeability, and ω the Larmor frequency, conductivity σ was reconstructed via $$$ σ = {\nabla}^2φ/(2μ_0ω) $$$ and a subsequent median filter [1,6]. Kernel size of both, numerical differentiation and median filter, was locally adapted not to cross tissue boundaries [6,7]. In a first run, these tissue boundaries were identified by a Sobel filter from the SSFP magnitude image of each individual volunteer. In a second run, tissue boundaries were additionally identified by a Sobel filter from calculated susceptibility maps of each individual volunteer, and combined with the boundaries obtained from the SSFP magnitude images of the first run.

Results

As expected, applying tissue boundaries from SSFP magnitude images yields a very weak conductivity contrast for the DGMN, but additionally including tissue boundaries from susceptibility maps yields a clear conductivity contrast for the DGMN (see Fig. 1 for one of the volunteers). Conductivities averaged over the 18 volunteers for six DGMN are shown in Fig. 2. The SSFP-based delineation yields a rather constant conductivity of 0.64-0.78 S/m for all DGMN. Including the susceptibility-based delineation yields conductivity values of 0.58-0.90 S/m, thus distinguishing different DGMN more clearly. - A comparison of mean conductivity and mean susceptibility values did not show any correlation, i.e., conductivity and susceptibility appear as independent parameters.

Discussion / Conclusion

To the best of our knowledge, this is the first time that conductivity of deep gray matter nuclei (DGMN) has been determined quantitatively in vivo. The conductivity determination was boosted by utilizing geometrical a-priori knowledge from quantitative susceptibility maps. In combination with the additional information from the susceptibility maps, a more comprehensive characterization of these diagnostically important brain regions is obtained. Instead applying two different scans to measure B1 phase and QSM as in the current study, combined scans can be applied as suggested in [8]. Such combined scans might help to confirm the findings of the current study.

Acknowledgements

The authors cordially thank Philipp Karkowski (Univ. of Bonn, Germany) for supporting data visualization and analysis.

References

[1] Katscher U et al., Recent Progress and Future Challenges in MR Electric Properties Tomography, Comput Math Methods Med. (2013) 546562

[2] Stehning C et al., Real-time conductivity mapping using balanced SSFP and phase-based reconstruction, ISMRM 19 (2011) 128

[3] Tha KK et al., Noninvasive Evaluation of Electrical Conductivity of the Normal Brain and Brain Tumors, ISMRM 22 (2014) 1885

[4] Wang Y et al., Quantitative susceptibility mapping (QSM): Decoding MRI data for a tissue magnetic biomarker, MRM 73 (2015) 82

[5] Sharma SD et al., Quantitative susceptibility mapping in the abdomen as an imaging biomarker of hepatic iron overload, MRM 74 (2015) 673

[6] Katscher U et al., Towards the Investigation of Breast Tumor Malignancy Via Electric Conductivity Measurement, ISMRM 21 (2013) 3372

[7] Huang L et al., A Monte Carlo method for overcoming the edge artifacts in MRI-based electrical conductivity mapping, ISMRM 22 (2014) 3190

[8] Gho SM et al., Simultaneous Quantitative Imaging method for Neuroimaging, ISMRM 23 (2015) 3286

Figures

Fig. 1: Example images for a typical volunteer. (a) SSFP magnitude image, (b) susceptibility map, (c) conductivity reconstruction using boundaries from SSFP magnitude image (yielding low contrast of DGMN), (d) conductivity reconstruction additionally using boundaries from susceptibility map (yielding high contrast of DGMN).

Fig. 2: Conductivities averaged over the 18 volunteers for six different DGMN. Using susceptibility-based delineation (blue boxes) distinguishes different DGMN more clearly than using SSFP-magnitude-based delineation (red boxes).



Proc. Intl. Soc. Mag. Reson. Med. 24 (2016)
3336