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Портал Begell Электронная Бибилиотека e-Книги Журналы Справочники и Сборники статей Коллекции
Critical Reviews™ in Biomedical Engineering
SJR: 0.26 SNIP: 0.375 CiteScore™: 1.4

ISSN Печать: 0278-940X
ISSN Онлайн: 1943-619X

Выпуски:
Том 48, 2020 Том 47, 2019 Том 46, 2018 Том 45, 2017 Том 44, 2016 Том 43, 2015 Том 42, 2014 Том 41, 2013 Том 40, 2012 Том 39, 2011 Том 38, 2010 Том 37, 2009 Том 36, 2008 Том 35, 2007 Том 34, 2006 Том 33, 2005 Том 32, 2004 Том 31, 2003 Том 30, 2002 Том 29, 2001 Том 28, 2000 Том 27, 1999 Том 26, 1998 Том 25, 1997 Том 24, 1996 Том 23, 1995

Critical Reviews™ in Biomedical Engineering

DOI: 10.1615/CritRevBiomedEng.2014011027
pages 63-83

Classification of Fractional Order Biomarkers for Anomalous Diffusion Using q-Space Entropy

Richard L. Magin
Diagnostic Imaging System Group (DIS), Richard and Loan Hill Department of Bioengineering, University of Illinois at Chicago, 851 South Morgan Street, Chicago, IL 60607, USA
Carson Ingo
C. J. Gorter Center for High Field MRI, Department of Radiology, Leiden University Medical Center, Leiden, NL
William Triplett
Advanced Magnetic Resonance Imaging and Spectroscopy Facility (AMRIS), McKnight Brain Institute, University of Florida, Gainesville, FL, USA 32610
Louis Colon-Perez
Advanced Magnetic Resonance Imaging and Spectroscopy Facility (AMRIS), McKnight Brain Institute, University of Florida, Gainesville, FL, USA 32610
Tom H. Mareci
Advanced Magnetic Resonance Imaging and Spectroscopy Facility (AMRIS), McKnight Brain Institute, University of Florida, Gainesville, FL, USA 32610

Краткое описание

In this study, we applied continuous random walk theory (CTRW) to develop a new model that characterizes anomalous diffusion in magnetic resonance imaging experiments. Furthermore, we applied a classification scheme based on information theoretic a techniques to characterize the degree of heterogeneity and complexity in biological tissues. From a CTRW approach, the Fourier transform of the generalized solution to the diffusion equation comes in the form of the Mittag-Leffler function. In this solution form, the relative stochastic uncertainty in the diffusion process can be computed with spectral entropy. We interrogated both white and gray matter regions of a fixed rat brain with diffusion − weighted magnetic resonance imaging experiments up to 26,000 s/mm2 by independently weighting q and Δ. to investigate the effects on the diffusion phenomena. Our model fractional order parameters, α and β, and entropy measure, H(q, Δ), differentiated between tissue types and extracted differing information within a region of interest based on the type of diffusion experiment performed. By combining fractional order modeling and information theory, new and powerful biomarkers are available to characterize tissue microstructure and provide contextual information about the anatomical complexity.


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