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Workshop: Topological, Algebraic, and Geometric Pattern Recognition with Applications Workshop Proposal

Shape and Intensity Analysis of Glioblastoma Multiforme Tumors

Yi Chen Chen


We use a geometric approach to characterize tumor shape and intensity along the tumor contour in the context of Glioblastoma Multiforme. Properties of the proposed shape+intensity representation include invariance to translation,scale, rotation and reparameterization, which allow for objective comparison of tumor features. Controlling for the weight of intensity information in the shape+intensity representation results in improved comparisons between tumorfeatures of different patients who have been diagnosed with Glioblastoma Multiforme; further, it allows for identification of different partitions of the data associated with different median survival among such patients. Our findingssuggest that integrating and appropriately balancing information regarding GBM tumor shape and intensity can be beneficial for disease prognosis. We evaluate the proposed statistical framework using simulated examples as well as areal dataset of Glioblastoma Multiforme tumors.

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