Fractality in the neuron axonal topography of the human brain based on 3-D diffusion MRI

作者: P. Katsaloulis , A. Ghosh , A.C. Philippe , A. Provata , R. Deriche

DOI: 10.1140/EPJB/E2012-30045-Y

关键词:

摘要: In this work the fractal architecture of neuron axonal topography human brain is evaluated, as derived from 3-D diffusion MRI (dMRI) acquisitions. This a 3D extension performed previously in 2D regions interest (ROIs), where dimension was computed dMRI data. A group study with 18 subjects here conducted and dimensions Df entire volume brains estimated via box counting, correlation mass methods. The axon data obtained using tractography algorithms on tensor imaging brain. We find that all three calculations give consistent results across subjects, namely, they demonstrate characteristics short medium length scales: different exponents prevail at scales, an indication multifractality. surmise complexity stems collective property emerging when many local units, performing functional tasks having topologies, are recorded together.

参考文章(21)
Pierre Fillard, Nicolas Toussaint, Jean-Christophe Souplet, MedINRIA: Medical Image Navigation and Research Tool by INRIA medical image computing and computer assisted intervention. ,(2007)
P. KATSALOULIS, D. A. VERGANELAKIS, A. PROVATA, FRACTAL DIMENSION AND LACUNARITY OF TRACTOGRAPHY IMAGES OF THE HUMAN BRAIN Fractals. ,vol. 17, pp. 181- 189 ,(2009) , 10.1142/S0218348X09004284
Fereydoon Family, Barry R. Masters, Daniel E. Platt, Fractal pattern formation in human retinal vessels Physica D: Nonlinear Phenomena. ,vol. 38, pp. 98- 103 ,(1989) , 10.1016/0167-2789(89)90178-4
T. A. Witten, L. M. Sander, Diffusion-limited aggregation, a kinetic critical phenomenon Physical Review Letters. ,vol. 47, pp. 1400- 1403 ,(1981) , 10.1103/PHYSREVLETT.47.1400
M. ZAMIR, Fractal dimensions and multifractility in vascular branching. Journal of Theoretical Biology. ,vol. 212, pp. 183- 190 ,(2001) , 10.1006/JTBI.2001.2367
A. Eshel, On the fractal dimensions of a root system Plant Cell and Environment. ,vol. 21, pp. 247- 251 ,(1998) , 10.1046/J.1365-3040.1998.00252.X
P.J. Basser, J. Mattiello, D. Lebihan, Estimation of the Effective Self-Diffusion Tensor from the NMR Spin Echo Journal of Magnetic Resonance, Series B. ,vol. 103, pp. 247- 254 ,(1994) , 10.1006/JMRB.1994.1037
Peter Grassberger, Itamar Procaccia, Measuring the strangeness of strange attractors Physica D: Nonlinear Phenomena. ,vol. 9, pp. 189- 208 ,(1983) , 10.1016/0167-2789(83)90298-1
M. Makuuchi, J. Bahlmann, A. Anwander, A. D. Friederici, Segregating the core computational faculty of human language from working memory Proceedings of the National Academy of Sciences of the United States of America. ,vol. 106, pp. 8362- 8367 ,(2009) , 10.1073/PNAS.0810928106