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¹⁷⁷Lu-labeled prostate-specific membrane antigen (PSMA) radiopharmaceutical therapy (RPT) represents a pivotal advancement in addressing prostate cancer. However, existing therapies, while promising, remain incompletely understood and optimized. Computational models offer potential insights into RPTs, aiding in clinical drug delivery enhancement. In this study, we investigate the impact of various physiological parameters on the delivery of ¹⁷⁷Lu-PSMA-617 RPT using the convection-diffusion-reaction (CDR) model.

Our investigation encompasses tumor geometry and surrounding tissue, characterized by well-defined boundaries and initial conditions. Utilizing the finite element method, we solve governing equations across a range of parameters: dissociation constant K_D (1, 0.1, 0.01 [nM]), internalization rate (0.01–0.0001 [min⁻¹]), diverse tumor shapes, and variable …