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dc.contributor.authorKERSKENS, CHRISTIAN MATTHIASen
dc.contributor.authorCOFFEY, WILLIAM THOMASen
dc.date.accessioned2010-03-30T13:52:13Z
dc.date.available2010-03-30T13:52:13Z
dc.date.issued2009en
dc.date.submitted2009en
dc.identifier.citationCooke JM, Kalmykov YP, Coffey WT, and Kerskens, CM, Langevin equation approach to diffusion magnetic resonance imaging, Physical Review E, 80, 061102, 2009en
dc.identifier.otherYen
dc.identifier.urihttp://hdl.handle.net/2262/38850
dc.descriptionPUBLISHEDen
dc.description.abstractThe normal phase diffusion problem in magnetic resonance imaging (MRI) is treated by means of the Langevin equation for the phase variable using only the properties of the characteristic function of Gaussian random variables. The calculation may be simply extended to anomalous diffusion using a fractional generalization of the Langevin equation proposed by Lutz [E. Lutz, Phys. Rev. E 64, 051106 (2001)] pertaining to the fractional Brownian motion of a free particle coupled to a fractal heat bath. The results compare favorably with diffusion-weighted experiments acquired in human neuronal tissue using a 3 T MRI scanner.en
dc.language.isoenen
dc.relation.ispartofseriesPhysical Review Een
dc.relation.ispartofseries80en
dc.relation.ispartofseries061102en
dc.rightsYen
dc.subjectPhysics
dc.titleLangevin equation approach to diffusion magnetic resonance imagingen
dc.typeJournal Articleen
dc.type.supercollectionscholarly_publicationsen
dc.type.supercollectionrefereed_publicationsen
dc.identifier.peoplefinderurlhttp://people.tcd.ie/kerskencen
dc.identifier.peoplefinderurlhttp://people.tcd.ie/wcoffeyen
dc.identifier.rssinternalid62990en
dc.identifier.rssurihttp://link.aps.org/doi/10.1103/PhysRevE.80.061102en


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