Complete fourier direct magnetic resonance imaging (CFD-MRI) for diffusion MRI

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dc.contributor.authorOzcan, Alpayen
dc.contributor.departmentPhysicsen
dc.date.accessioned2019-08-16T14:07:11Zen
dc.date.available2019-08-16T14:07:11Zen
dc.date.issued2013en
dc.description.abstractThe foundation for an accurate and unifying Fourier-based theory of diffusion weighted magnetic resonance imaging (DW MRI) is constructed by carefully re-examining the first principles of DW MRI signal formation and deriving its mathematical model from scratch. The derivations are specifically obtained for DW MRI signal by including all of its elements (e.g., imaging gradients) using complex values. Particle methods are utilized in contrast to conventional partial differential equations approach. The signal is shown to be the Fourier transform of the joint distribution of number of the magnetic moments (at a given location at the initial time) and magnetic moment displacement integrals. In effect, the k-space is augmented by three more dimensions, corresponding to the frequency variables dual to displacement integral vectors. The Joint distribution function is recovered by applying the Fourier transform to the complete high-dimensional data set. In the process, to obtain a physically meaningful real valued distribution function, phase corrections are applied for the re-establishment of Hermitian symmetry in the signal. Consequently, the method is fully unconstrained and directly presents the distribution of displacement integrals without any assumptions such as symmetry or Markovian property. The joint distribution function is visualized with isosurfaces, which describe the displacement integrals, overlaid on the distribution map of the number of magnetic moments with low mobility. The model provides an accurate description of the molecular motion measurements via DVV MRI. The improvement of the characterization of tissue microstructure leads to a better localization, detection and assessment of biological properties such as white matter integrity. The results are demonstrated on the experimental data obtained from an ex vivo baboon brain.en
dc.description.sponsorshipNINDS NIH HHS [P01 NS059560]; NCI NIH HHS [U24 CA083060]en
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.3389/fnint.2013.00018en
dc.identifier.eissn1662-5145en
dc.identifier.pmid23596401en
dc.identifier.urihttp://hdl.handle.net/10919/93166en
dc.identifier.volume7en
dc.language.isoenen
dc.rightsCreative Commons Attribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.subjectmagnetic resonance imagingen
dc.subjectdiffusion weighted imagingen
dc.subjectfourier transformen
dc.titleComplete fourier direct magnetic resonance imaging (CFD-MRI) for diffusion MRIen
dc.title.serialFrontiers In Integrative Neuroscienceen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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