Dynamical Aspects of a Hybrid System Describing Intermittent Androgen Suppression Therapy of Prostate Cancer

Kurumi Hiruko, Shinya Okabe

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Citations (Scopus)

Abstract

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.

Original languageEnglish
Title of host publicationGeometric Properties for Parabolic and Elliptic PDE’s - GPPEPDEs 2015
EditorsCarlo Nitsch, Filippo Gazzola, Kazuhiro Ishige, Paolo Salani
PublisherSpringer New York LLC
Pages191-230
Number of pages40
ISBN (Print)9783319415369
DOIs
Publication statusPublished - 2016
EventItalian-Japanese workshop on Geometric Properties for Parabolic and Elliptic PDE’s, GPPEPDEs 2015 - Palinuro, Italy
Duration: 2015 May 252015 May 29

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume176
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Other

OtherItalian-Japanese workshop on Geometric Properties for Parabolic and Elliptic PDE’s, GPPEPDEs 2015
CountryItaly
CityPalinuro
Period15/5/2515/5/29

Keywords

  • Indirectly controlled parameter
  • Parabolic comparison principle

ASJC Scopus subject areas

  • Mathematics(all)

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