Ability of intermittent androgen suppression to selectively create a non-trivial periodic orbit for a type of prostate cancer patients

DOI10.1016/j.jtbi.2015.08.010zbMath1343.92224OpenAlexW1134737562WikidataQ50861455 ScholiaQ50861455MaRDI QIDQ739736

Kazuyuki Aihara, Yoshito Hirata

Publication date: 19 August 2016

Published in: Journal of Theoretical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jtbi.2015.08.010

zbMATH Keywords

chaos controltumor dynamicstreatment option

Mathematics Subject Classification ID

Medical applications (general) (92C50) Biochemistry, molecular biology (92C40)

Related Items (5)

Optimization therapy by coupling intermittent androgen suppression with impulsive chemotherapy for a prostate cancer model ⋮ Stability analysis on a hybrid PDE–ODE system describing intermittent hormonal therapy of prostate cancer ⋮ Optimal control to develop therapeutic strategies for metastatic castrate resistant prostate cancer ⋮ Global dynamics of a model of joint hormone treatment with dendritic cell vaccine for prostate cancer ⋮ Intermittent hormone therapy models analysis and Bayesian model comparison for prostate cancer

Cites Work

• Unnamed Item
• 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
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Switching in systems and control
• A mathematical model of prostate tumor growth and androgen-independent relapse
• Development of a mathematical model that predicts the outcome of hormone therapy for prostate cancer
• A mathematical model of intermittent androgen suppression for prostate cancer
• Comparison between mathematical models of intermittent androgen suppression for prostate cancer
• Avoiding healthy cells extinction in a cancer model
• A new protocol for intermittent androgen suppression therapy of prostate cancer with unstable saddle-point dynamics
• Parameter estimation and optimal scheduling algorithm for a mathematical model of intermittent androgen suppression therapy for prostate cancer
• Controlling chaos
• Hybrid optimal scheduling for intermittent androgen suppression of prostate cancer
• Nonlinear systems identification by combining regression with bootstrap resampling
• Chaos

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