Jos P. Marques1, Daniel K. Sodickson2, Christopher Michael Collins2, Rolf Gruetter3, 4
1CIBM, University of Lausanne, Lausanne, Vaud, Switzerland; 2Bernard and Irene Schwartz Center for Biomedical Imaging, Department of Radiology, New York University School of Medicine, New York, NY, United States; 3LIFMET - Laboratory for Functional and Metabolic Imaging, cole Polytechnique Fdrale de Lausanne, Lausanne, Vaud, Switzerland; 4Department of Radiology, Universities of Geneva and Lausanne, Lausanne, VD, Switzerland
All methods presented to date to calculate electrical property maps rely on the acquisition of multiple images including quantitative B1+ maps. In this work we present a formalism to compute conductivity and permittivity maps based on one single MR acquisition performed with an array of 4 or more elements. The method is based on the measurement of relative receive coil sensitivity maps and uses as only assumption that the B1- associated with any receive coil obeys the Helmholtz equation.