Title

A stochastic model for PSA levels: behavior of solutions and population statistics

Department/School

Mathematics

Date

1-1-2006

Document Type

Article

Keywords

PSA (prostate-specific antigen), prostate cancer, continuous stochastic model, deterministic model, stochastic differential equation, Chapman–Kolmogorov equation, Fokker–Planck equation, exponential decay, moments, numerical analysis, maximum principle, radiotherapy

DOI

https://doi.org/10.1007/s00285-006-0016-z

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.

Published in

Journal of Mathematical Biology

Citation/Other Information

Bělík, P., Dayananda, P. W. A., Kemper, J. T. & Shvartsman, M. M. (2006). A stochastic model for PSA levels: behavior of solutions and population statistics. Journal of Mathematical Biology, 53(3), 437–463. https://doi.org/10.1007/s00285-006-0016-z

Share

COinS