Title
A Mathematical Model of Intermittent Androgen Suppression for Prostate Cancer
Abstract
For several decades, androgen suppression has been the principal modality for treatment of advanced prostate cancer. Although the androgen deprivation is initially effective, most patients experience a relapse within several years due to the proliferation of so-called androgen-independent tumor cells. Bruchovsky et al. suggested in animal models that intermittent androgen suppression (IAS) can prolong the time to relapse when compared with continuous androgen suppression (CAS). Therefore, IAS has been expected to enhance clinical efficacy in conjunction with reduction in adverse effects and improvement in quality of life of patients during off-treatment periods. This paper presents a mathematical model that describes the growth of a prostate tumor under IAS therapy based on monitoring of the serum prostate-specific antigen (PSA). By treating the cancer tumor as a mixed assembly of androgen-dependent and androgen-independent cells, we investigate the difference between CAS and IAS with respect to factors affecting an androgen-independent relapse. Numerical and bifurcation analyses show how the tumor growth and the relapse time are influenced by the net growth rate of the androgen-independent cells, a protocol of the IAS therapy, and the mutation rate from androgen-dependent cells to androgen-independent ones.
Year
DOI
Venue
2008
10.1007/s00332-008-9031-0
J. Nonlinear Science
Keywords
DocType
Volume
Prostate cancer,Intermittent androgen suppression,Mathematical modeling,Hybrid systems,Hysteresis,Bifurcations,34C55,37G15,65L07,92C50,93A30
Journal
18
Issue
ISSN
Citations 
6
0938-8974
6
PageRank 
References 
Authors
0.95
1
4
Name
Order
Citations
PageRank
Aiko Miyamura Ideta191.36
Gouhei Tanaka25111.80
Takumi Takeuchi360.95
Kazuyuki Aihara41909333.03