BCR and prostate cancer: To facilitate the application of the prostate-cancer BCR prognostic model, the trained model was packaged into an R package (https://github.com/daizao/PCaMLmodel; Version 1.0; accessed on 10 Jan 2026) (Figure 5A) and deployed as an online web service (http://www.dzwgylab.com/PCaMLmodel/; Version 1.0; accessed on 10 Jan 2026) (Figure 5B).