Inverse Laplace transform analysis of the DWI MRI signal in prostate and bladder

The non-mono-exponential nature of the DWI signal decay in the prostate is well established. Current advanced modeling methods use a two component model, and the data is fit for the fast (corresponding to the coherent motion in blood vessels) and slow (describing the inherent diffusion properties of the glandular tissue) components. Using a new implementation of the inverse Laplace transform, we present evidence that multiple slow components can be present in the decaying DWI signal. We demonstrate evidence for single-component diffusion in the bladder, and for presence of up to three components in the peripheral zone of the prostate.

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