A stochastic model for prostate-specific antigen levels.

P W A Dayananda; John T Kemper; Mikhail M Shvartsman

doi:10.1016/j.mbs.2004.04.001

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A stochastic model for prostate-specific antigen levels.

P W A Dayananda·John T Kemper·Mikhail M Shvartsman

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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.

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Dose-Response Relationship, Radiation Humans Male Models, Biological Prostate-Specific Antigen Prostatic Neoplasms Stochastic Processes Time Factors Journal Article

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P W A Dayananda, John T Kemper, Mikhail M Shvartsman. 2004. A stochastic model for prostate-specific antigen levels.. https://doi.org/10.1016/j.mbs.2004.04.001

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