Fractional order NMR reflects anomalous diffusion

Richard L. Magin, Belinda Akpa, Qing Gao, Xiaohong Joe Zhou, Thomas Neuberger, Andrew Webb

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

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.

Original languageEnglish (US)
Title of host publicationETFA 2009 - 2009 IEEE Conference on Emerging Technologies and Factory Automation
DOIs
StatePublished - Dec 1 2009
Event2009 IEEE Conference on Emerging Technologies and Factory Automation, ETFA 2009 - Mallorca, Spain
Duration: Sep 22 2009Sep 26 2009

Publication series

NameETFA 2009 - 2009 IEEE Conference on Emerging Technologies and Factory Automation

Other

Other2009 IEEE Conference on Emerging Technologies and Factory Automation, ETFA 2009
CountrySpain
CityMallorca
Period9/22/099/26/09

All Science Journal Classification (ASJC) codes

  • Artificial Intelligence
  • Control and Systems Engineering

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