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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