Abstract #3647

Volumetric Reconstruction of Tissue Electrical Properties from B1+ and MR Signals Using Global Maxwell Tomography: Theory and Simulation Results.

Jose E.C. Serralles¹, Ioannis Georgakis², Athanasios G. Polimeridis², Luca Daniel¹, Jacob K. White¹, Daniel K. Sodickson^3,4, and Riccardo Lattanzi^3,4

¹Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, MA, United States, ²Center for Computational and Data-Intensive Science and Engineering, Skolkovo Institute of Science and Technology, Moscow, Russian Federation, ³The Sackler Institute of Graduate Biomedical Science, New York University School of Medicine, New York, NY, United States, ⁴Center for Advanced Imaging Innovation and Research, New York University School of Medicine, New York, NY, United States

Magnetic resonance-based inverse scattering has been proposed to extract tissue electrical properties (EP). We present an improved implementation of the Global Maxwell Tomography (GMT) EP mapping technique, with two new cost functions and an extension that uses piecewise linear basis functions to represent fields for higher accuracy. GMT does not make symmetry assumptions, is fully 3D, and is robust to noise. We validated the new GMT version with various numerical experiments, using a heterogeneous head model with realistic EP and a phantom with tissue-mimicking EP. We showed, for the first time, that artifact-free accurate reconstruction of EP is possible.

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