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

Authors

Pavel Bělík, Augsburg UniversityFollow
P W A Dayananda, University of St. Thomas, Minnesota
John T. Kemper, University of St. Thomas, Minnesota
Mikhail M. Shvartsman, University of St. Thomas, Minnesota

Document Type

Article

Publication Date

9-2006

DOI

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.

Comments

The final publication is available at Springer via https://doi.org/10.1007/s00285-006-0016-z

Recommended Citation

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.
https://idun.augsburg.edu/faculty_scholarship/4