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

DOI10.1007/978-3-319-41538-3_12zbMath1349.35380OpenAlexW2552113549MaRDI QIDQ2832797

Shinya Okabe, Kurumi Hiruko

Publication date: 14 November 2016

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-41538-3_12

zbMATH Keywords

parabolic comparison principleindirectly controlled parameter

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92)

Related Items (2)

Stability analysis on a hybrid PDE–ODE system describing intermittent hormonal therapy of prostate cancer ⋮ Practically scheduling hormone therapy for prostate cancer using a mathematical model

Cites Work

• Modeling prostate cancer response to continuous versus intermittent androgen ablation therapy
• A partial differential equation model and its reduction to an ordinary differential equation model for prostate tumor growth under intermittent hormone therapy
• A nonlinear model with competition between prostate tumor cells and its application to intermittent androgen suppression therapy of prostate cancer
• A mathematical model of prostate tumor growth and androgen-independent relapse
• A mathematical model of intermittent androgen suppression for prostate cancer
• A MODEL AT THE MACROSCOPIC SCALE OF PROSTATE TUMOR GROWTH UNDER INTERMITTENT ANDROGEN SUPPRESSION
• ANALYSIS OF A MATHEMATICAL MODEL OF TUMOR LYMPHANGIOGENESIS
• MATHEMATICAL MODELING OF PROSTATE TUMOR GROWTH UNDER INTERMITTENT ANDROGEN SUPPRESSION WITH PARTIAL DIFFERENTIAL EQUATIONS
• A mathematical model of prostate tumor growth under hormone therapy with mutation inhibitor

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