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Biophysically motivated efficient estimation of the spatially isotropic R 2 * component from a single gradient‐recalled echo measurement
Author(s) -
Papazoglou Sebastian,
Streubel Tobias,
Ashtarayeh Mohammad,
Pine Kerrin J.,
Edwards Luke J.,
Brammerloh Malte,
Kirilina Evgeniya,
Morawski Markus,
Jäger Carsten,
Geyer Stefan,
Callaghan Martina F.,
Weiskopf Nikolaus,
Mohammadi Siawoosh
Publication year - 2019
Publication title -
magnetic resonance in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.696
H-Index - 225
eISSN - 1522-2594
pISSN - 0740-3194
DOI - 10.1002/mrm.27863
Subject(s) - orientation (vector space) , isotropy , signal (programming language) , phenomenological model , exponential function , biological system , physics , echo (communications protocol) , estimation theory , nuclear magnetic resonance , computer science , mathematics , optics , algorithm , mathematical analysis , geometry , condensed matter physics , biology , programming language , computer network
Purpose To propose and validate an efficient method, based on a biophysically motivated signal model, for removing the orientation‐dependent part of R 2 * using a single gradient‐recalled echo (GRE) measurement. Methods The proposed method utilized a temporal second‐order approximation of the hollow‐cylinder‐fiber model, in which the parameter describing the linear signal decay corresponded to the orientation‐independent part of R 2 * . The estimated parameters were compared to the classical, mono‐exponential decay model for R 2 * in a sample of an ex vivo human optic chiasm (OC). The OC was measured at 16 distinct orientations relative to the external magnetic field using GRE at 7T. To show that the proposed signal model can remove the orientation dependence of R 2 * , it was compared to the established phenomenological method for separating R 2 * into orientation‐dependent and ‐independent parts. Results Using the phenomenological method on the classical signal model, the well‐known separation of R 2 * into orientation‐dependent and ‐independent parts was verified. For the proposed model, no significant orientation dependence in the linear signal decay parameter was observed. Conclusions Since the proposed second‐order model features orientation‐dependent and ‐independent components at distinct temporal orders, it can be used to remove the orientation dependence of R 2 * using only a single GRE measurement.