A monte carlo study of restricted diffusion: Implications for diffusion MRI of prostate cancer

A monte carlo study of restricted diffusion: Implications for diffusion MRI of prostate cancer.

PURPOSE Diffusion MRI is used frequently to assess prostate cancer. The prostate consists of cellular tissue surrounding fluid filled ducts. Here, the diffusion properties of the ductal fluid alone were studied. Monte Carlo simulations were used to investigate ductal residence times to determine whether ducts can be regarded as forming a separate compartment and whether ductal radius could dete...

A validation of the biexponential model in diffusion MRI signal attenuation using diffusion Monte Carlo simulator

Signal Intensity of High B-value Diffusion-weighted Imaging for the Detection of Prostate Cancer

Background: Diffusion-weighted imaging (DWI) is a main component of multiparametric MRI for prostate cancer detection. Recently, high b value DWI has gained more attention because of its capability for tumor characterization. Objective: To assess based on histopathological findings of transrectal ultrasound (TRUS)-guided prostate biopsy as a reference, an...

Computed diffusion-weighted MRI in prostate cancer

Sequential Monte Carlo Methods for Diffusion Processes

In this paper we show how to use sequential Monte Carlo (SMC) methods ([7, 13]) to compute expectations of functionals of diffusions at a given time and the gradients of these quantities w.r.t the initial condition of the process. In some cases, using the exact simulation of diffusions methodology ([3]), there is no time discretization error, otherwise the methods use Euler discretization. We i...