title: A stochastic model for PSA levels: behavior of solutions and population statistics.
abstract: This paper investigates the partial differential equation for the evolving distribution of prostate-specific antigen (PSA) levels following radiotherapy. We also present results on the behavior of moments for the evolving distribution of PSA levels and estimate the probability of long-term treatment success and failure related to values of treatment and disease parameters. Results apply to a much wider range of parameter values than was considered in earlier studies, including parameter combinations that are patient specific.
authors.affiliation: Department of Mathematics, University of St. Thomas, 2115 Summit Avenue, St. Paul, MN 55105, USA.
authors.forename: Pavel
authors.initials: P
authors.lastname: Belík
authors.forename: P W A
authors.initials: PW
authors.lastname: Dayananda
authors.forename: John T
authors.initials: JT
authors.lastname: Kemper
authors.forename: Mikhail M
authors.initials: MM
authors.lastname: Shvartsman
mesh_terms: D000230:Adenocarcinoma / Q000097:blood / Q000532:radiotherapy; D000465:Algorithms; D006801:Humans; D008297:Male; D008433:Mathematics; D008954:Models, Biological; D017430:Prostate-Specific Antigen / Q000097:blood*; D011471:Prostatic Neoplasms / Q000097:blood / Q000532:radiotherapy; D013269:Stochastic Processes
chemical_list: D017430:Prostate-Specific Antigen