TY - GEN
T1 - Dynamical Aspects of a Hybrid System Describing Intermittent Androgen Suppression Therapy of Prostate Cancer
AU - Hiruko, Kurumi
AU - Okabe, Shinya
N1 - Funding Information:
The second author was partially supported by Grant-in-Aid for Young Scientists (B), No. 24740097, and by Strategic Young Researcher Overseas Visits Program for Accelerating Brain Circulation (JSPS). The authors would like to express their gratitude to Professor Izumi Takagi of Tohoku University who gave them many useful comments.
Publisher Copyright:
© Springer International Publishing Switzerland 2016.
Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2016
Y1 - 2016
N2 - We consider a mathematical model describing Intermittent Androgen Suppression therapy (IAS therapy) of prostate cancer. The system has a hybrid structure, i.e., the system consists of two different systems by the medium of an unknown binary function denoting the treatment state. In this paper, we shall prove that the hybrid system has a unique solution with the property that the binary function keeps on changing its value. In the clinical point of view, the result asserts that one can plan the IAS therapy for each prostate cancer patient, provided that the tumor satisfies a certain condition.
AB - We consider a mathematical model describing Intermittent Androgen Suppression therapy (IAS therapy) of prostate cancer. The system has a hybrid structure, i.e., the system consists of two different systems by the medium of an unknown binary function denoting the treatment state. In this paper, we shall prove that the hybrid system has a unique solution with the property that the binary function keeps on changing its value. In the clinical point of view, the result asserts that one can plan the IAS therapy for each prostate cancer patient, provided that the tumor satisfies a certain condition.
KW - Indirectly controlled parameter
KW - Parabolic comparison principle
UR - http://www.scopus.com/inward/record.url?scp=84984950078&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84984950078&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-41538-3_12
DO - 10.1007/978-3-319-41538-3_12
M3 - Conference contribution
AN - SCOPUS:84984950078
SN - 9783319415369
T3 - Springer Proceedings in Mathematics and Statistics
SP - 191
EP - 230
BT - Geometric Properties for Parabolic and Elliptic PDE’s - GPPEPDEs 2015
A2 - Nitsch, Carlo
A2 - Gazzola, Filippo
A2 - Ishige, Kazuhiro
A2 - Salani, Paolo
PB - Springer New York LLC
T2 - Italian-Japanese workshop on Geometric Properties for Parabolic and Elliptic PDE’s, GPPEPDEs 2015
Y2 - 25 May 2015 through 29 May 2015
ER -