title: Quantization and analysis of hippocampal morphometric changes due to dementia of Alzheimer type using metric distances based on large deformation diffeomorphic metric mapping.
abstract: The metric distance obtained from the large deformation diffeomorphic metric mapping (LDDMM) algorithm is used to quantize changes in morphometry of brain structures due to neuropsychiatric diseases. For illustrative purposes we consider changes in hippocampal morphometry (shape and size) due to very mild dementia of the Alzheimer type (DAT). LDDMM, which was previously used to calculate dense one-to-one correspondence vector fields between hippocampal shapes, measures the morphometric differences with respect to a template hippocampus by assigning metric distances on the space of anatomical images thereby allowing for direct comparison of morphometric differences. We characterize what information the metric distances provide in terms of size and shape given the hippocampal, brain and intracranial volumes. We demonstrate that metric distance is a measure of morphometry (i.e., shape and size) but mostly a measure of shape, while volume is mostly a measure of size. Moreover, we show how metric distances can be used in cross-sectional, longitudinal analysis, as well as left-right asymmetry comparisons, and provide how the metric distances can serve as a discriminative tool using logistic regression. Thus, we show that metric distances with respect to a template computed via LDDMM can be a powerful tool in detecting differences in shape.
authors.affiliation: Department of Mathematics, Koç University, Rumelifeneri Yolu, 34450 Sarıyer, Istanbul, Turkey. elceyhan@ku.edu.tr
authors.forename: Elvan
authors.initials: E
authors.lastname: Ceyhan
authors.forename: Mirza Faisal
authors.initials: MF
authors.lastname: Beg
authors.forename: Can
authors.initials: C
authors.lastname: Ceritoglu
authors.forename: Lei
authors.initials: L
authors.lastname: Wang
authors.forename: John C
authors.initials: JC
authors.lastname: Morris
authors.forename: John G
authors.initials: JG
authors.lastname: Csernansky
authors.forename: Michael I
authors.initials: MI
authors.lastname: Miller
authors.forename: J Tilak
authors.initials: JT
authors.lastname: Ratnanather
mesh_terms: D000368:Aged; D000465:Algorithms; D000544:Alzheimer Disease / Q000473:pathology*; D000704:Analysis of Variance; D001931:Brain Mapping / Q000379:methods*; D016022:Case-Control Studies; D016002:Discriminant Analysis; D005260:Female; D006624:Hippocampus / Q000473:pathology*; D006801:Humans; D008279:Magnetic Resonance Imaging / Q000379:methods*; D008297:Male; D025341:Principal Component Analysis; D012680:Sensitivity and Specificity