Fractal descriptors for quantifying brain complexity in MRI

Magnetic Resonance Imaging (MRI) is the in vivo technique most commonly employed to characterize changes in brain structures. The conventional MRI-derived morphological indices are able to capture only partial aspects of brain structural complexity. Fractal geometry and its most popular index, the fractal dimension (FD), can characterize self-similar structures including grey matter (GM) and white matter (WM). Previous literature shows the need for a definition of the so-called fractal scaling window, within which each structure manifests self-similarity. This justifies the existence of fractal properties and confirms Mandelbrot’s assertion that "fractals are not a panacea; they are not everywhere". In this work, we propose a new approach to automatically determine the fractal scaling window, computing two new fractal descriptors, i.e., the minimal and maximal fractal scales (mfs and Mfs). Our method was implemented in a software package, validated on phantoms and applied on large datasets of structural MR images. We demonstrated that the FD is a useful marker of morphological complexity changes that occurred during brain development and aging and, using ultra-high magnetic field (7T) examinations, we showed that the cerebral GM has fractal properties also below the spatial scale of 1 mm. We applied our methodology in two neurological diseases. We observed the reduction of the brain structural complexity in SCA2 patients and, using a machine learning approach, proved that the cerebral WM FD is a consistent feature in predicting cognitive decline in patients with small vessel disease and mild cognitive impairment. Finally, we showed that the FD of the WM skeletons derived from diffusion MRI provides complementary information to those obtained from the FD of the WM general structure in T1-weighted images. In conclusion, the fractal descriptors of structural brain complexity are candidate biomarkers to detect subtle morphological changes during development, aging and in neurological diseases.

Applicazione della neurodiagnostica avanzata allo studio dei disturbi psicologici nelle malattie infiammatorie croniche intestinali

Background and aim Ulcerative Colitis (UC) and Crohn’s Disease (CD), collectively labelled as inflammatory bowel disease (IBD), are idiopathic, chronic inflammatory disorder of the bowel with a remitting and relapsing course. IBD are associated to poor emotional functioning and psychological distress. We have investigated the brain involvement in patients with IBD using functional magnetic resonance imaging (fMRI). Materials and methods We developed an emotional visual task to investigate the emotional functioning in 10 UC patients and 10 healthy controls (HC). Furthermore, we have compared the brain stress response between a group of 20 CD patients and a group of 18 HC. Finally, we evaluated potential morphological differences between 18 CD patients and 18 HC in a voxel based morphometry (VBM) study. Results We found brain functional changes in UC patients characterized by decreased activity in the amygdala in response to positive emotional stimuli. Moreover, in CD patients, the brain stress response and habituation to stressful stimuli were significantly different in the medial temporal lobe (including the amygdala and hippocampus), the insula and cerebellum. Finally, in CD patients there were morphological abnormalities in the anterior mid cingulated cortex (aMCC). Conclusion IBD are associated to functional and morphological brain abnormalities. The previous intestinal inflammatory activity in IBD patients might have contributed to determine the functional and morphological changes we found. On the other hand, the dysfunctions of the brain structures we found may influence the course of the disease. Our findings might have clinical implications. The differences in the emotional processing may play a role in the development of psychological disorders in UC patients. Furthermore, in CD patients, the different habituation to stress might contribute to stress related inflammatory exacerbations. Finally, the structural changes in the aMCC might be involved in the pain symptoms associated to the bowel disorder.