ObjectivesThe Vascular, Extracellular, and Restricted Diffusion for Cytometry in Tumours (VERDICT) is a non-invasive MRI technique that has shown promising results in clinical settings discriminating normal from malignant tissue and Gleason grade 3+3 from 3+4. However, VERDICT currently does not account for the inherent relaxation properties of the tissue, whose quantification could provide additional information and enhance its diagnostic power. The aim of this work is to introduce relaxation-VERDICT (rVERDICT) for prostate, a model for the joint estimation of diffusion-based parameters (e.g. the intracellular volume fraction, fic) and relaxation times (e.g. T2) from a VERDICT MRI acquisition; and to evaluate its repeatability and diagnostic utility for differentiating Gleason grades 3 and 4.Materials and Methods72 men with suspected prostate cancer (PCa) or undergoing active surveillance were recruited. All men underwent multiparametric MRI (mp-MRI) and VERDICT MRI. Deep neural network was used for ultra-fast fitting of the rVERDICT parameters. 44 men underwent targeted biopsy, which enabled assessment of rVERDICT parameters in differentiating Gleason grades measured with accuracy, F1-score and Cohen’s kappa of a convolutional neural network classifier. To assess the repeatability of the new model, five men were imaged twice.ResultsThe rVERDICT intracellular volume fraction fic discriminated between Gleason grades (5-class classification) with accuracy, F1-score and kappa 8, 7 and 3 percentage points higher than classic VERDICT, and 12, 13 and 24 percentage points higher than the Apparent Diffusion Coefficient (ADC) from mp-MRI. Repeatability of rVERDICT parameters was high (R2=0.74–0.99, coefficient of variation=1%–10% and intraclass correlation coefficient=78%-98%). T2 values estimated with rVERDICT were not significantly different from those estimated with an independent multi-TE acquisition (p>0.05). The deep neural network fitting approach provided stable fitting of all the rVERDICT parameters with dramatic reduction of the processing time (∼35 seconds vs ∼15 minutes using classic VERDICT), enabling on-the-fly rVERDICT map generation.ConclusionsThe new rVERDICT allows for robust and ultra-fast microstructural estimation of diffusion and relaxation properties of PCa and enables Gleason scoring.