scholarly journals The statistical shape of geometric reasoning

2018 ◽  
Vol 8 (1) ◽  
Author(s):  
Yuval Hart ◽  
Moira R. Dillon ◽  
Andrew Marantan ◽  
Anna L. Cardenas ◽  
Elizabeth Spelke ◽  
...  
2018 ◽  
Vol 15 (12) ◽  
pp. 1151-1160 ◽  
Author(s):  
Zihan Jiang ◽  
Huilin Yang ◽  
Xiaoying Tang

Objective: In this study, we investigated the influence that the pathology of Alzheimer’s disease (AD) exerts upon the corpus callosum (CC) using a total of 325 mild cognitive impairment (MCI) subjects, 155 AD subjects, and 185 healthy control (HC) subjects. Method: Regionally-specific morphological CC abnormalities, as induced by AD, were quantified using a large deformation diffeomorphic metric curve mapping based statistical shape analysis pipeline. We also quantified the association between the CC shape phenotype and two cognitive measures; the Mini Mental State Examination (MMSE) and the Alzheimer’s Disease Assessment Scale-Cognitive Behavior Section (ADAS-cog). To identify AD-relevant areas, CC was sub-divided into three subregions; the genu, body, and splenium (gCC, bCC, and sCC). Results: We observed significant shape compressions in AD relative to that in HC, mainly concentrated on the superior part of CC, across all three sub-regions. The HC-vs-MCI shape abnormalities were also concentrated on the superior part, but mainly occurred on bCC and sCC. The significant MCI-vs-AD shape differences, however, were only detected in part of sCC. In the shape-cognition association, significant negative correlations to ADAS-cog were detected for shape deformations at regions belonging to gCC and sCC and significant positive correlations to MMSE at regions mainly belonging to sCC. Conclusion: Our results suggest that the callosal shape deformation patterns, especially those of sCC, linked tightly to the cognitive decline in AD, and are potentially a powerful biomarker for monitoring the progression of AD.


Author(s):  
Femke Danckaers ◽  
Jeroen Van Houtte ◽  
Brian G. Booth ◽  
Frederik Verstreken ◽  
Jan Sijbers
Keyword(s):  

2014 ◽  
Vol 18 (7) ◽  
pp. 1044-1058 ◽  
Author(s):  
Marco Pereañez ◽  
Karim Lekadir ◽  
Constantine Butakoff ◽  
Corné Hoogendoorn ◽  
Alejandro F. Frangi

1988 ◽  
Vol 37 (1-3) ◽  
pp. 37-60 ◽  
Author(s):  
Dennis S. Arnon

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