RT Journal Article
ID 3b22a03c54bb13df
A1 Magin, Richard
A1 Ingo, Carson
A1 Triplett, William
A1 Colon-Perez, Louis
A1 Mareci, Tom H.
T1 Classification of Fractional Order Biomarkers for Anomalous Diffusion Using q-Space Entropy
JF Critical Reviews™ in Biomedical Engineering
JO CRB
YR 2014
FD 2014-08-15
VO 42
IS 1
SP 63
OP 83
K1 diffusion
K1 anomalous
K1 entropy
K1 q-space
K1 fractional calculus
K1 Mittag-Leffler function
AB 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.
PB Begell House
LK https://www.dl.begellhouse.com/journals/4b27cbfc562e21b8,5d2385320a8fec1d,3b22a03c54bb13df.html