Controllability of hybrid PDE-ODE systems with structural instability and applications to mathematical models on intermittent hormonal therapy for prostate cancer

Kurumi Hiruko, Shinya Okabe

Research output: Contribution to journalArticle

Abstract

Several mathematical models on intermittent androgen suppression (IAS) therapy for prostate cancer are classified into hybrid PDE-ODE system with structural instability. The purpose of this paper is to give a unified strategy to prove the controllability of themathematicalmodels on the IAS therapy. For this aim, we prove that (1) a generalized hybrid PDE-ODE system is controllable for any initial data and (2) the result given by (1) is applicable to the mathematical models on the IAS therapy. Finally, we conclude that the mathematical models on the IAS therapy for prostate cancer are controllable for any initial data.

Original languageEnglish
Pages (from-to)8229-8247
Number of pages19
JournalMathematical Methods in the Applied Sciences
Volume41
Issue number17
DOIs
Publication statusPublished - 2018 Jan 1

Keywords

  • Comparison principle
  • Indirectly controlled parameter

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)

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