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.

Volume

190

Issue

2

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

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