Title of article
A stochastic model for prostate-specific antigen levels
Author/Authors
Dayananda، نويسنده , , P.W.A and Kemper، نويسنده , , John T and Shvartsman، نويسنده , , Mikhail M، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2004
Pages
14
From page
113
To page
126
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.
Keywords
prostate cancer , stochastic differential equation , Chapman–Kolmogorov partial differential equation , exponential decay , radiotherapy , Method of images , Sensitivity analysis , Prostate-specific antigen (PSA) , Continuous stochastic model , Deterministic model
Journal title
Mathematical Biosciences
Serial Year
2004
Journal title
Mathematical Biosciences
Record number
1588785
Link To Document