Abstract
Cortical surface complexity is a potential structural marker for certain diseases such as schizophrenia. In this study, we developed a measure of fractal dimension (FD) calculated from lowpass-filtered spherical harmonic brain surface reconstructions. A local FD measure was also computed at each vertex in a cortical surface mesh, visualizing local variations in surface complexity over the brain surface. We analyzed the surface complexity for 87 patients with DSM-IV schizophrenia (with stable psychopathology and treated with antipsychotic medication) and 108 matched healthy controls. The global FD for the right hemisphere in the schizophrenic group was significantly lower than that in controls. Local FD maps showed that the lower complexity was mainly due to differences in the prefrontal cortex.
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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)
Wheeler, D.G., Harper, C.G.: Localised reductions in gyrification in the posterior cingulate: Schizophrenia and controls. Progress in Neuro-Psychopharmacology and Biological Psychiatry 31, 319–327 (2007)
McIntosh, A.M., Moorhead, T.W.J., McKirdy, J., Hall, J., Sussmann, J.E.D., Stanfield, A.C., Harris, J.M., Johnstone, E.C., Lawrie, S.M.: Prefrontal gyral folding and its cognitive correlates in bipolar disorder and schizophrenia. Acta Psychiatrica Scandinavica 119, 192–198 (2009)
Lopes, R., Betrouni, N.: Fractal and multifractal analysis: A review. Medical Image Analysis 13, 634–649 (2009)
Kiselev, V.G., Hahn, K.R., Auer, D.P.: Is the brain cortex a fractal? NeuroImage 20, 1765–1774 (2003)
Zhang, L., Dean, D., Liu, J.Z., Sahgal, V., Wang, X., Yue, G.H.: Quantifying degeneration of white matter in normal aging using fractal dimension. Neurobiology of Aging 28, 1543–1555 (2007)
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. Psychological Medicine 24, 771–781 (1994)
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. Biological Psychiatry 55, 859–867 (2004)
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. Neuroscience Letters 384, 172–176 (2005)
Thompson, P.M., Lee, A.D., Dutton, R.A., Geaga, J.A., Hayashi, K.M., Eckert, M.A., Bellugi, U., Galaburda, A.M., Korenberg, J.R., Mills, D.L., Toga, A.W., Reiss, A.L.: Abnormal cortical complexity and thickness profiles mapped in Williams syndrome. Journal of Neuroscience 25, 4146–4158 (2005)
Luders, E., Narr, K.L., Thompson, P.M., Rex, D.E., Jancke, L., Steinmetz, H., Toga, A.W.: Gender differences in cortical complexity. Nature Neuroscience 7, 799–800 (2004)
Blanton, R.E., Levitt, J.G., Thompson, P.M., Narr, K.L., Capetillo-Cunliffe, L., Nobel, A., Singerman, J.D., McCracken, J.T., Toga, A.W.: Mapping cortical asymmetry and complexity patterns in normal children. Psychiatry Research: Neuroimaging 107, 29–43 (2001)
Zhang, Y., Jiang, J., Lin, L., Shi, F., Zhou, Y., Yu, C., Li, K., Jiang, T.: A surface-based fractal information dimension method for cortical complexity analysis. In: Dohi, T., Sakuma, I., Liao, H. (eds.) MIAR 2008. LNCS, vol. 5128, pp. 133–141. Springer, Heidelberg (2008)
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)
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, 4261–4274 (1996)
Luders, E., Thompson, P.M., Narr, K.L., Toga, A.W., Jancke, L., Gaser, C.: A curvature-based approach to estimate local gyrification on the cortical surface. NeuroImage 29, 1224–1230 (2006)
Schaer, M., Cuadra, M.B., Tamarit, L., Lazeyras, F., Eliez, S., Thiran, J.P.: A surface-based approach to quantify local cortical gyrification. IEEE Transactions on Medical Imaging 27, 161–170 (2008)
Davatzikos, C., Shen, D., Gur, R.C., Wu, X., Liu, D., Fan, Y., Hughett, P., Turetsky, B.I., Gur, R.E.: Whole-brain morphometric study of schizophrenia revealing a spatially complex set of focal abnormalities. Archives of General Psychiatry 62, 1218–1227 (2005)
Kawasaki, Y., Suzuki, M., Kherif, F., Takahashi, T., Zhou, S.-Y., Nakamura, K., Matsui, M., Sumiyoshi, T., Seto, H., Kurachi, M.: Multivariate voxel-based morphometry successfully differentiates schizophrenia patients from healthy controls. NeuroImage 34, 235–242 (2007)
Soriano-Mas, C., Pujol, J.s., Alonso, P., Cardoner, N., Menchûn, J.M., Harrison, B.J., Deus, J., Vallejo, J., Gaser, C.: Identifying patients with obsessive-compulsive disorder using whole-brain anatomy. NeuroImage 35, 10328–10327 (2007)
Yushkevich, P., Dubb, A., Xie, Z., Gur, R., Gur, R., Gee, J.: Regional structural characterization of the brain of schizophrenia patients. Academic Radiology 12, 1250–1261 (2005)
Sun, D., van Erp, T.G.M., Thompson, P.M., Bearden, C.E., Daley, M., Kushan, L., Hardt, M.E., Nuechterlein, K.H., Toga, A.W., Cannon, T.D.: Elucidating a magnetic resonance imaging-based neuroanatomic biomarker for psychosis: Classification analysis using probabilistic brain atlas and machine learning algorithms. Biological Psychiatry 66, 1055–1060 (2009)
Healy, D.M., Rockmore, D.N., Moore, S.S.B.: FFTs for the 2-Sphere-Improvements and Variations. Dartmouth College (1996)
Chung, M.K., Robbins, S.M., Dalton, K.M., Davidson, R.J., Alexander, A.L., Evans, A.C.: Cortical thickness analysis in autism with heat kernel smoothing. NeuroImage 25, 1256–1265 (2005)
Nenadic, I., Sauer, H., Gaser, C.: Distinct pattern of brain structural deficits in subsyndromes of schizophrenia delineated by psychopathology. NeuroImage 49, 1153–1160 (2010)
Tang, M., Wang, H.N.: Feature analysis of brain MRI images based on fractal dimension. In: EMBS, Shanghai, pp. 3245–3248 (2005)
Eastwood, S.L., Harrison, P.J.: Interstitial white matter neuron density in the dorsolateral prefrontal cortex and parahippocampal gyrus in schizophrenia. Schizophrenia Research 79, 181–188 (2005)
Akbarian, S., Bunney Jr, W.E., Potkin, S., Wigal, S., Hagman, J., Sandman, C., Jones, E.: Altered distribution of nicotinamide-adenine dinucleotide phosphate-diaphorase cells in frontal lobe of schizophrenics implies disturbances of cortical development. Archives of General Psychiatry 50, 169–177 (1993)
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Yotter, R.A., Thompson, P.M., Nenadic, I., Gaser, C. (2010). Estimating Local Surface Complexity Maps Using Spherical Harmonic Reconstructions. In: Jiang, T., Navab, N., Pluim, J.P.W., Viergever, M.A. (eds) Medical Image Computing and Computer-Assisted Intervention – MICCAI 2010. MICCAI 2010. Lecture Notes in Computer Science, vol 6362. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15745-5_21
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DOI: https://doi.org/10.1007/978-3-642-15745-5_21
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