Optimization therapy by coupling intermittent androgen suppression with impulsive chemotherapy for a prostate cancer model

DOI10.1007/s11538-023-01228-2zbMath1530.92097MaRDI QIDQ6066157

Yongzhen Pei, Changguo Li, Dandan Fang, Yunfei Lv

Publication date: 12 December 2023

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

zbMATH Keywords

prostate cancertime scaling transformationintermittent androgen suppressionresidual effectimpulsive chemotherapy

Mathematics Subject Classification ID

Medical applications (general) (92C50) Existence theories for optimal control problems involving partial differential equations (49J20) Impulsive control/observation systems (93C27)

Cites Work

• Unnamed Item
• Modeling prostate cancer response to continuous versus intermittent androgen ablation therapy
• Ability of intermittent androgen suppression to selectively create a non-trivial periodic orbit for a type of prostate cancer patients
• Global impulsive optimal control computation
• A mathematical model of tumor-immune evasion and siRNA treatment
• Optimizing pulse timings and amounts of biological interventions for a pest regulation model
• Translation, solving scheme, and implementation of a periodic and optimal impulsive state control problem
• 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
• A new protocol for intermittent androgen suppression therapy of prostate cancer with unstable saddle-point dynamics
• Hybrid optimal scheduling for intermittent androgen suppression of prostate cancer
• Data-based modeling of breast cancer and optimal therapy