TY - GEN
T1 - Fractional order measures of anomalous diffusion in healthy aging of neural tissue
AU - Ingo, Carson
AU - Magin, Richard L.
AU - Colon-Perez, Luis
AU - Mareci, Thomas H.
N1 - Publisher Copyright:
© 2014 IEEE.
PY - 2014/11/25
Y1 - 2014/11/25
N2 - 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).
AB - 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).
UR - http://www.scopus.com/inward/record.url?scp=84918565700&partnerID=8YFLogxK
U2 - 10.1109/ICFDA.2014.6967418
DO - 10.1109/ICFDA.2014.6967418
M3 - Conference contribution
AN - SCOPUS:84918565700
T3 - 2014 International Conference on Fractional Differentiation and Its Applications, ICFDA 2014
BT - 2014 International Conference on Fractional Differentiation and Its Applications, ICFDA 2014
A2 - Baleanu, Dumitru
A2 - Machado, J.A. Tenreiro
PB - Institute of Electrical and Electronics Engineers Inc.
Y2 - 23 June 2014 through 25 June 2014
ER -