A stochastic model for prostate-specific antigen levels.

Autor: Dayananda PW; Department of Mathematics, University of St. Thomas, 2115 Summit Avenue, MAIL# OSS 201, St. Paul, MN 55105-1079, USA. pwdayananda@stthomas.edu, Kemper JT, Shvartsman MM
Jazyk: angličtina
Zdroj: Mathematical biosciences [Math Biosci] 2004 Aug; Vol. 190 (2), pp. 113-26.
DOI: 10.1016/j.mbs.2004.04.001
Abstrakt: 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.
Databáze: MEDLINE