Title
A stochastic model for prostate-specific antigen levels
Department/School
Mathematics
Date
1-1-2004
Document Type
Article
Keywords
prostate-specific antigen (PSA), prostate cancer, ontinuous stochastic model, deterministic model, stochastic differential equation, Chapman–Kolmogorov partial differential equation, exponential decay, method of images, radiotherapy, sensitivity analysis
DOI
https://doi.org/10.1016/j.mbs.2004.04.001
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.
Published in
Mathematical Biosciences
Citation/Other Information
Dayananda, P. W. A., Kemper, J. T. & Shvartsman, M. M. (2004). A stochastic model for prostate-specific antigen levels. Mathematical Biosciences, 190(2), 113–126. https://doi.org/10.1016/j.mbs.2004.04.001