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A Bayesian Image Analysis Of The Change In Tumor/Brain Contrast Uptake Induced By Radiation Via Reversible Jump Markov Chain Monte Carlo, Xiaoxi Zhang, Tim Johnson, Roderick J.A. Little

The University of Michigan Department of Biostatistics Working Paper Series

This work is motivated by a pilot study on the change in tumor/brain contrast uptake induced by radiation via quantitative Magnetic Resonance Imaging. The results inform the optimal timing of administering chemotherapy in the context of radiotherapy. A noticeable feature of the data is spatial heterogeneity. The tumor is physiologically and pathologically distinct from surrounding healthy tissue. Also, the tumor itself is usually highly heterogeneous. We employ a Gaussian Hidden Markov Random Field model that respects the above features. The model introduces a latent layer of discrete labels from an Markov Random Field (MRF) governed by a spatial regularization parameter. …