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A stochastic model for PSA levels: behavior of solutions and population statistics
Pavel Belík1, P W A Dayananda, John T Kemper
1Department of Mathematics, University of St. Thomas, 2115 Summit Avenue, St. Paul, MN 55105, USA.
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.
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