Single point magnetization transfer (MT) is a quantitative method which reduces the number of unknowns in the MT signal equation by fixing tissue parameters which are effectively constant such that the macromolecular proton fraction (MPF) is the only remaining variable. In this work, the nonlinear signal equation describing single point MT was inverted to obtain an analytic expression for MPF as a function of observed normalized signal (MT∆/MT0). This enables rapid computation of MPF maps from matrix operations performed on the 3D images of the MT-weighted image (MT∆), the MT reference image, (MT0), and separately acquired T1 and B1 maps.
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