A stochastic model for prostate-specific antigen levels
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Published on: March 6, 2018
P W A Dayananda1, John T Kemper, Mikhail M Shvartsman
1Department of Mathematics, University of St. Thomas, 2115 Summit Avenue, MAIL# OSS 201, St. Paul, MN 55105-1079, USA. pwdayananda@stthomas.edu
Abstract:
We introduce a continuous stochastic model for the prostate-specific antigen (PSA) levels following radiotherapy and derive solutions for the associated partial differential (Kolmogorov-Chapman) equation. The solutions describe the evolution of the time-dependent density for PSA levels which take into account an absorbing condition along the boundary and various initial conditions. We include implications for single-dose and multi-dose radiation treatment regimens and discuss parameter estimation and sensitivity issues.
