Yu-Chung N Cheng et al 2009 Phys. Med. Biol. 54 1169 doi:10.1088/0031-9155/54/5/005
Yu-Chung N Cheng1,3, Jaladhar Neelavalli2 and E Mark Haacke1
Show affiliationsA discrete Fourier based method for calculating field distributions and local magnetic susceptibility in MRI is carefully studied. Simulations suggest that the method based on discrete Green's functions in both 2D and 3D spaces has less error than the method based on continuous Green's functions. The 2D field calculations require the correction of the 'Lorentz disk', which is similar to the Lorentz sphere term in the 3D case. A standard least-squares fit is proposed for the extraction of susceptibility for a single object from MR images. Simulations and a phantom study confirm both the discrete method and the feasibility of the least-squares fit approach. Finding accurate susceptibility values of local structures in the brain from MR images may be possible with this approach in the future.
For more information on this article, see medicalphysicsweb.org
87.61.Tg Clinical applications
02.70.Rr General statistical methods
87.50.C- Static and low-frequency electric and magnetic fields effects
Issue 5 (7 March 2009)
Received 23 October 2008, in final form 10 January 2009
Published 30 January 2009
Yu-Chung N Cheng et al 2009 Phys. Med. Biol. 54 1169
J D E Grant and J A Vickers 2009 Class. Quantum Grav. 26 235014
Manuel Palacio and Bharat Bhushan 2008 Nanotechnology 19 315710
N I Stoilova and J Van der Jeugt 2008 J. Phys.: Conf. Ser. 128 012061
F Delogu 2007 Nanotechnology 18 505702
K P Singh et al 1998 Phys. Scr. 1998 142
Jacobo Díaz-Polo and Enrique Fernández-Borja 2008 Class. Quantum Grav. 25 105007
Oliver Henrich et al 2007 J. Phys.: Condens. Matter 19 205132
Kazi M Alam and Asok K Ray 2007 Nanotechnology 18 495706
Peter D Adams 2009 J. Phys.: Condens. Matter 21 470302