Abstract #302045

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JSM 2003 Abstract #302045
Activity Number: 214
Type: Contributed
Date/Time: Tuesday, August 5, 2003 : 8:30 AM to 10:20 AM
Sponsor: Section on Statistics in Epidemiology
Abstract - #302045
Title: A Stochastic Model for the Progression of Prostate-Specific Antigen after Radiation Treatment
Author(s): David G. Whiting*+ and Palahela Dayananda and Jeremy M. G. Taylor
Companies: Brigham Young University and University of St.Thomas and University of Michigan
Address: 230 Tmcb, Provo, UT, 84602,
Keywords: prostate specific antigen ; stochastic model ; prostate cancer ; deterministic model ; discrete model
Abstract:

We present the development of a discrete-time stochastic model for modeling the behavior of prostate specific antigen (PSA) levels over time following radiation treatment for prostate cancer. High levels of PSA correspond to increased progression of the cancer. The expected value of the PSA level is derived and compared with an accepted deterministic model for PSA progression. According to the American Society for Therapeutic Radiology, the rise in three consecutive levels of PSA is indicative of a failure of the radiation therapy. Knowledge of the path of PSA presented in this paper would be helpful in the management of radiation treatment and particularly, in assessing quantitatively any clinically based policy for defining recurrence after radiation therapy. Application of the model is illustrated by fitting it to clinical data from the University of Michigan cancer center.


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