PSA velocity and PSA doubling time, in differentiating between BPH, prostatitis, and prostate cancer

Artificial Intelligence Doctor - What is the role of PSA kinetics, such as PSA velocity and PSA doubling time, in differentiating between benign prostatic hyperplasia (BPH), prostatitis, and prostate cancer in patients with PSA levels in the 4.0 to 10.0 ng/mL range?