Controllability of hybrid PDE‐ODE systems with structural instability and applications to mathematical models on intermittent hormonal therapy for prostate cancer. (27th September 2018)

• Record Type: Journal Article
• Authors: Hiruko, Kurumi; Okabe, Shinya
• Other Names: Aguiar Jesus Vigo guestEditor.; Rubio Raquel Garcia guestEditor.
• Is Part Of: Mathematical methods in the applied sciences. Volume 41:Number 17(2018)
• Page Start: 8229
• Page End: 8247
• Publication Date: 2018-09-27
• Subjects: comparison principle -- indirectly controlled parameter; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.5284
• Languages: English
• ISSNs: 0170-4214

Abstract

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 the mathematical models 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.