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Abstract #3819

A maximum a posteriori method for quantitative $$$T_1$$$ mapping with uncertainty using MP2RAGE

Adam M. Saunders1, Kurt G. Schilling2,3, Kristin P. O'Grady2,3,4, Seth Smith2,3,4, and Bennett A. Landman1,2,3,4,5
1Department of Electrical and Computer Engineering, Vanderbilt University, Nashville, TN, United States, 2Vanderbilt University Institute of Imaging Science, Vanderbilt University Medical Center, Nashville, TN, United States, 3Department of Radiology and Radiological Sciences, Vanderbilt University Medical Center, Nashville, TN, United States, 4Department of Biomedical Engineering, Vanderbilt University, Nashville, TN, United States, 5Department of Computer Science, Vanderbilt University, Nashville, TN, United States

Synopsis

Keywords: Quantitative Imaging, Quantitative Imaging, Brain, Simulations, Signal Representations, T1 Mapping

Motivation: The MP2RAGE sequence allows for quantitative MRI imaging of $$$T_1$$$ in the brain, but current methods do not provide a way to measure uncertainty in this mapping.

Goal(s): We introduce a probabilistic signal representation to allow for $$$T_1$$$ mapping with uncertainty maps.

Approach: Using a Monte Carlo simulation, we generate a probability distribution for the MP2RAGE images that allows us to map the posterior distribution of $$$T_1$$$ and generate a measure of uncertainty.

Results: Our $$$T_1$$$ map numerically agrees with previous single-echo MP2RAGE methods with limited data while providing a way to map statistical measures like expected value or standard deviation.

Impact: Our posterior distribution allows for uncertainty quantification in $$$T_1$$$ mapping with MP2RAGE, and it opens up the possibility for other probabilistic methods. The proposed method allows for a better quantitative understanding with only a minor modification to the acquisition sequence.

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