@inproceedings{a53ed23003374481972452741a84542b,
title = "Fractional order measures of anomalous diffusion in healthy aging of neural tissue",
abstract = "In this paper we use fractional calculus to characterize diffusion in brain tissue by generalizing Fick's 2nd Law. This approach, rooted in the physics of the Continuous Time Random Walk (CTRW) Theory expresses separate measures of tissue complexity through the fractional order of the time derivative, α, and the space derivative, {\ss}. We also calculate the entropy of the characteristic function of the probability distribution function (pdf) as a measure of the heterogeneity of the tissue. We applied this theory to the analysis of high-field (17.6 Tesla) diffusion-weighted MRI data to characterize the structural complexity of neural tissue. When interpreted in the context of anomalous diffusion, healthy aging in the normal rat brain is observed in both white matter (WM) and gray matter (GM).",
author = "Carson Ingo and Magin, {Richard L.} and Luis Colon-Perez and Mareci, {Thomas H.}",
note = "Publisher Copyright: {\textcopyright} 2014 IEEE.; 2014 International Conference on Fractional Differentiation and Its Applications, ICFDA 2014 ; Conference date: 23-06-2014 Through 25-06-2014",
year = "2014",
month = nov,
day = "25",
doi = "10.1109/ICFDA.2014.6967418",
language = "English (US)",
series = "2014 International Conference on Fractional Differentiation and Its Applications, ICFDA 2014",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
editor = "Dumitru Baleanu and Machado, {J.A. Tenreiro}",
booktitle = "2014 International Conference on Fractional Differentiation and Its Applications, ICFDA 2014",
address = "United States",
}