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 |
Externí odkaz: |
|