Abstract
In this paper, we proposed a new surface-based fractal information dimension (FID) method to quantify the cortical complexity. Unlike the traditional box-counting method to measure the capacity dimension, our method is a surface-based fractal information dimension method, which incorporates surface area into the probability calculation and thus encapsulates more information of the original cortical surfaces. The accuracy of the algorithm was validated via experiments on phantoms. With the proposed method, we studied the abnormalities of the cortical complexity of the early blind (EB; n=15), compared with matched controls (n=15). We found significantly increased FIDs in the left occipital lobe and decreased FIDs in the right frontal and right parietal lobe in early blind compared with controls. The results demonstrated the potential of the proposed method for identifying cortical abnormalities.
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References
Zilles, K., Armstrong, E., Schleicher, A., Kretschmann, H.J.: The Human Pattern of Gyrification in the Cerebral Cortex. Anatomy and Embryology 179, 173–179 (1988)
Luders, E., Thompson, P.M., Narr, K.L., Toga, A.W., Janckeb, L., Gaser, C.: A Curvature-Based Approach to Estimate Local Gyrification on the Cortical Surface. Neuroimage 29, 1224–1230 (2006)
Thompson, P.M., Schwartz, C., Lin, R.T., Khan, A.A., Toga, A.W.: Three-Dimensional Statistical Analysis of Sulcal Variability in the Human Brain. Journal of Neuroscience 16(13), 4261–4274 (1996)
Free, S.L., Sisodiya, S.M., Cook, M.J., Fish, D.R., Shorvon, S.D.: Three-Dimensional Fractal Analysis of the White Matter Surface from Magnetic Resonance Images of the Human Brain. Cerebral Cortex 6(6), 830–836 (1996)
Schaer, M., Cuadra, M.B., Tamarit, L., Lazeyras, F., Eliez, S., Thiran, J.P.: A Surface-based Approach to Quantify Local Cortical Gyrification. IEEE Trans. On Medical Imaging 27(2), 161–170 (2008)
Zhang, L., Liu, J.Z., Dean, D., Sahgal, V., Yue, G.H.: A Three-Dimensional Fractal Analysis Method for Quantifying White Matter Structure in Human Brain. Journal of Neuroscience Methods 150(2), 242–253 (2006)
Lee, J.M., Yoon, U., Kim, J.J., Kim, I.Y., Lee, D.S., Kwon, J.S., Kim, S.I.: Analysis of the Hemispheric Asymmetry Using Fractal Dimension of a Skeletonized Cerebral Surface. IEEE Trans. on Biomedical Imaging 51, 1494–1498 (2004)
Esteban, F.J., Sepulcre, J., de Mendizábal, N.V., Goñi, J., Navas, J., de Miras, J.R., Bejarano, B., Masdeu, J.C., Villoslada, P.: Fractal Dimension and White Matter Changes in Multiple Sclerosis. Neuroimage 36(3), 543–549 (2007)
Luders, E., Narr, K.L., Thompson, P.M., Rex, D.E., Jancke, L., Steinmetz, H.: Gender Differences in Cortical Complexity. Nat. Neurosci. 7, 799–800 (2004)
Narr, K.L., Bilder, R.M., Kim, S., Thompson, P.M., Szeszko, P., Robinson, D., Luders, E., Toga, A.W.: Abnormal Gyral Complexity in First-Episode Schizophrenia. Biol. Psychiatry 55(8), 859–867 (2004)
Blanton, R.E., Levitt, J.G., Thompson, P.M., Narr, K.L., Capetillo-Cunliffe, L., Nobel, A.: Mapping Cortical Asymmetry and Complexity Patterns in Normal Children. Psychiatry Res. 107, 29–43 (2001)
Thompson, P.M., Lee, A.D., Dutton, R.A., Geaga, J.A., Hayashi, K.M., Eckert, M.A.: Abnormal Cortical Complexity and Thickness Profiles Mapped in Williams Syndrome. J. Neurosci. 25, 4146–4158 (2005)
Noppeney, U., Friston, K., Ashburner, J., Frackowiak, R., Price, C.: Early Visual Deprivation Induces Structural Plasticity in Gray and White Matter. Current Biology 15(13), R488-R490 (2005)
Pan, W.J., Wu, G.Y., Li, C.X., Lin, F.C., Sun, J.M., Lei, H.: Progressive Atrophy in the Optic Pathway and Visual Cortex of Early Blind Chinese Adults: A Voxel-Based Morphometry Magnetic Resonance Imaging Study. Neuroimage 37(1), 212–220 (2007)
Dale, A.M., Fischl, B., Sereno, M.I.: Sereno: Cortical surface-based analysis. I. Segmentation and surface reconstruction. Neuroimage 9, 179–194 (1999)
Fischl, B., Sereno, M.I., Dale, A.M.: Cortical Surface-Based Analysis. II: Inflation, Flattening, and a Surface-Based Coordinate System. Neuroimage 9, 195–207 (1999)
Bullmore, E., Brammer, M., Harvey, I., Persaud, R., Murray, R., Ron, M.: Fractal Analysis of the Boundary between White Matter and Cerebral Cortex in Magnetic Resonance Images: a Controlled Study of Schizophrenic and Manic-Depressive Patients. Psychol. Med. 24(3), 771–781 (1994)
Cook, M.J., Free, S.L., Manford, M.R., Fish, D.R., Shorvon, S.D., Stevens, J.M.: Fractal Description of Cerebral Cortical Patterns in Frontal Lobe Epilepsy. Eur Neurol. 35(6), 327–335 (1995)
Kiselev, V.G., Hahn, K.R., Auer, D.P.: Is the Brain Cortex a Fractal? Neuroimage 20(3), 1765–1774 (2003)
Takahashi, T., Murata, T., Omori, M., Kosaka, H., Takahashi, K., Yonekura, Y., Wada, Y.: Quantitative Evaluation of Age-Related White Matter Microstructural Changes on MRI by Multifractal Analysis. Journal of the Neurological Sciences 225(1-2), 33–37 (2004)
Zhang, L., Dean, D., Liu, J., Sahgal, V., Wang, X., Yue, G.: Quantifying Degeneration of White Matter in Normal Aging Using Fractal Dimension. Neurobiology of Aging 28(10), 1543–1555 (2006)
Ha, T.H., Yoon, U., Lee, K.J., Shin, Y.W., Lee, J.M., Kim, I.Y., Ha, K.S., Kim, S.I., Kwon, J.S.: Fractal Dimension of Cerebral Cortical Surface in Schizophrenia and Obsessive–Compulsive Disorder. Neurosci. Lett. 384(1-2), 172–176 (2005)
Dehay, C., Giroud, P., Berland, M., Killackey, H., Kennedy, H.: Contribution of Thalamic Input to the Specification of Cytoarchitectonic Cortical Fields in the Primate: Effects of Bilateral Enucleation in the Fetal Monkey on the Boundaries, Dimensions, and Gyrification of Striate and Extrastriate Cortex. Journal of Comparative Neurology 367(1), 70–89 (1996)
Liu, Y., Yu, C.S., Liang, M., Li, J., Tian, L.X., Zhou, Y., Qin, W., Li, K.C., Jiang, T.Z.: Whole Brain Functional Connectivity in the Early Blind. Brain 130, 2085–2096 (2007)
Wittenberg, G.F., Werhahn, K.J., Wassermann, E.M., Herscovitch, P., Cohen, L.G.: Functional Connectivity between Somatosensory and Visual Cortex in Early Blind Humans. European Journal of Neuroscience 20, 1923–1927 (2004)
Kedzia, A., Rybaczuk, M., Dymecki, J.: Fractal Estimation of the Senile Brain Atrophy. Neuropathol. 35(4), 237–240 (1997)
Mandlebrot, B.B.: The Fractal Geometry of Nature. W.H. Freeman, New York (1982)
Im, K., Lee, J.M., Yoon, U., Shin, Y.W., Hong, S.B., Kim, I.Y., Kwon, J.S., Kim, S.I.: Fractal Dimension in Human Cortical Surface:Multiple Regression Analysis with Cortical Thickness, Sulcal Depth, and Folding Area. Human Brain Mapping 27, 994–1003 (2006)
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Zhang, Y. et al. (2008). A Surface-Based Fractal Information Dimension Method for Cortical Complexity Analysis. In: Dohi, T., Sakuma, I., Liao, H. (eds) Medical Imaging and Augmented Reality. MIAR 2008. Lecture Notes in Computer Science, vol 5128. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-79982-5_15
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DOI: https://doi.org/10.1007/978-3-540-79982-5_15
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