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Abstract:
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This work is motivated by a quantitative Magnetic Resonance Imaging study of the differential tumor/healthy tissue change in contrast uptake induced by radiation. The goal is to determine the time when there is maximal contrast uptake, a surrogate for permeability, in the tumor relative to healthy tissue. A notable feature of the data is spatial heterogeneity. Built on previous work, we fit a two-stage model. First, we propose a longitudinal image model for each subject that simultaneously accounts for the spatial and temporal correlation and denoises the observed images by borrowing strength both across neighboring pixels and over time. We use the area under the receiver operating characteristics (ROC) curve (AUC) to summarize the differential contrast uptake between tumor/healthy tissue. In the second stage, we fit a population model on the AUCs and estimate when it achieves maximum.
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