Abstract #2993

Global Maxwell Tomography: a novel technique for electrical properties mapping without symmetry assumptions or edge artifacts

Jose E.C. Serralles¹, Athanasios Polimeridis², Manushka V. Vaidya^3,4, Gillian Haemer^3,4, Jacob K. White¹, Daniel K. Sodickson^3,4, Luca Daniel¹, 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, ³Center for Advanced Imaging Innovation and Research (CAI2R) and Center for Biomedical Imaging, Department of Radiology, New York University School of Medicine, New York, NY, United States, ⁴The Sackler Institute of Graduate Biomedical Science, New York University School of Medicine, New York, NY, United States

We introduce Global Maxwell Tomography (GMT), a novel volume integral equation-based technique for the extraction of electric properties from MR data. GMT is framed as an unconstrained optimization problem in which the error between measured and simulated B1+ magnitude maps is minimized. Due to its global nature, GMT is not subjected to edge artifacts. By using exclusively B1+ magnitude, GMT does not rely on symmetry assumptions to estimate B1+ phase. In one numerical example, three tumors were inserted into a head model, and starting from a tumorless initial guess, GMT accurately inferred the electrical properties and locations of these tumors.

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