Oleg P. Posnansky1, N. Jon Shah1,2
1Institute of Neuroscience and Biophysics 3 - Medicine, Research Centre Juelich, Juelich, Germany; 2Faculty of Medicine, Department of Neurology, RWTH Aachen University, JARA, Aachen, Germany
We explore the complex geometry of the apparent diffusion coefficient (ADC) profiles and discuss the blowing compact-surface method. Completely isotropic and anisotropic characteristic cases are considered. As a probing surface the blowing sphere is chosen in the isotropic case. For the anisotropic case, an ellipsoid built on eigenvectors with kept eigenvalues ratios is chosen. Using the step-by-step scaling procedure, we investigate the collapse of topological indices and demonstrate geometrical contrast. For the sphere and ellipsoid cases sets of non-integer indices are mapped. The maps correlate with the anatomical structure of the brain to different extents and provide more detailed non-Gaussian information about brain architecture.