Langevin equation approach to diffusion magnetic resonance imaging
Item Type:Journal Article
Citation:Cooke JM, Kalmykov YP, Coffey WT, and Kerskens, CM, Langevin equation approach to diffusion magnetic resonance imaging, Physical Review E, 80, 061102, 2009
Langevin equation approach to diffusion magnetic resonance imaging.pdf (Published (publisher's copy) - Peer Reviewed) 408.8Kb
The 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.
Type of material:Journal Article
Series/Report no:Physical Review E
Availability:Full text available