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.
Bělík, Pavel; Dayananda, P W A; Kemper, John T.; and Shvartsman, Mikhail M., "A stochastic model for PSA levels: behavior of solutions and population statistics" (2006). Faculty Authored Articles. 4.