ArticleIEEE transactions on bio-medical engineering2025
Global Maxwell Tomography Using the Volume-Surface Integral Equation for Improved Estimation of Electrical Properties.
Article in IEEE transactions on bio-medical engineering, 2025. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.
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3 citing papers in PubMed.
- An Open-Source Software Toolbox for Rapid Radiofrequency Coil Design and Evaluation in MRI.Magnetic resonance in medicine · 2026Article
- Comparative Assessment of Graglia-Wilton-Peterson and Rao-Wilton-Glisson Basis Functions for Radiofrequency Coil Modeling in Magnetic Resonance Imaging.IEEE journal on multiscale and multiphysics computational techniques · 2026Article
- An Optimization Framework for the Design of Radiofrequency Coils for Magnetic Resonance Imaging.bioRxiv : the preprint server for biology · 2025Article
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6 authors.
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Abstract
objectiveGlobal Maxwell Tomography (GMT) is a noninvasive inverse optimization method for the estimation of electrical properties (EP) from magnetic resonance (MR) measurements. GMT uses the volume integral equation (VIE) in the forward problem and assumes that the sample has negligible effect on the coil currents. Consequently, GMT calculates the coil's incident fields with an initial EP distribution and keeps them constant for all optimization iterations. This can lead to erroneous reconstructions. This work introduces a novel version of GMT that replaces VIE with the volume-surface integral equation (VSIE), which recalculates the coil currents at every iteration based on updated EP estimates before computing the associated fields.
methodsWe simulated an 8-channel transceiver coil array for 7 T brain imaging and reconstructed the EP of a realistic head model using VSIE-based GMT. We built the coil, collected experimental MR measurements, and reconstructed EP of a two-compartment phantom.
resultsIn simulations, VSIE-based GMT outperformed VIE-based GMT by at least 12% for both EP. In experiments, the relative difference with respect to probe-measured EP values in the inner (outer) compartment was 13% (26%) and 17% (33%) for the permittivity and conductivity, respectively.
conclusionThe use of VSIE over VIE enhances GMT's performance by accounting for the effect of the EP on the coil currents. SIGNIFICANCE: VSIE-based GMT does not rely on an initial EP estimate, rendering it more suitable for experimental reconstructions compared to the VIE-based GMT.
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