TY - GEN
T1 - Fractional order NMR reflects anomalous diffusion
AU - Magin, Richard L.
AU - Akpa, Belinda
AU - Gao, Qing
AU - Zhou, Xiaohong Joe
AU - Neuberger, Thomas
AU - Webb, Andrew
PY - 2009
Y1 - 2009
N2 - Recently, we proposed a new diffusion model in nuclear magnetic resonance (NMR) by solving the Bloch-Torrey equation using fractional order calculus with respect to time and space (Magin, RL, et al, J Magn Reson 2008; 190:255-270). This model yields a new set of parameters to describe anomalous diffusion: diffusion coefficient D, fractional order derivative in space β, and a spatial variable μ (in units of μm). In this study, we demonstrate that fractional calculus (FC) can be successfully applied to analyze diffusion images of sephadex gels and brain tissues from healthy humans in vivo. Although the biophysical basis of β and μ remains to be understood, the perspectives of using these parameters to characterize the environment for molecular diffusion may lead to a new way to investigate tissue structural changes in disease.
AB - Recently, we proposed a new diffusion model in nuclear magnetic resonance (NMR) by solving the Bloch-Torrey equation using fractional order calculus with respect to time and space (Magin, RL, et al, J Magn Reson 2008; 190:255-270). This model yields a new set of parameters to describe anomalous diffusion: diffusion coefficient D, fractional order derivative in space β, and a spatial variable μ (in units of μm). In this study, we demonstrate that fractional calculus (FC) can be successfully applied to analyze diffusion images of sephadex gels and brain tissues from healthy humans in vivo. Although the biophysical basis of β and μ remains to be understood, the perspectives of using these parameters to characterize the environment for molecular diffusion may lead to a new way to investigate tissue structural changes in disease.
UR - http://www.scopus.com/inward/record.url?scp=77949893097&partnerID=8YFLogxK
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U2 - 10.1109/ETFA.2009.5347158
DO - 10.1109/ETFA.2009.5347158
M3 - Conference contribution
AN - SCOPUS:77949893097
SN - 9781424427284
T3 - ETFA 2009 - 2009 IEEE Conference on Emerging Technologies and Factory Automation
BT - ETFA 2009 - 2009 IEEE Conference on Emerging Technologies and Factory Automation
T2 - 2009 IEEE Conference on Emerging Technologies and Factory Automation, ETFA 2009
Y2 - 22 September 2009 through 26 September 2009
ER -