A partial differential equation model and its reduction to an ordinary differential equation model for prostate tumor growth under intermittent hormone therapy

DOI10.1007/s00285-013-0718-yzbMath1303.35116OpenAlexW2012895309WikidataQ47686751 ScholiaQ47686751MaRDI QIDQ464772

Qian Guo, Kazuyuki Aihara, Youshan Tao

Publication date: 30 October 2014

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

Full work available at URL: https://doi.org/10.1007/s00285-013-0718-y

zbMATH Keywords

free boundary problempartial differential equationshybrid systemprostate cancerandrogen independenceintermittent androgen suppression

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Free boundary problems for PDEs (35R35) Medical epidemiology (92C60)

Related Items (11)

Parameter estimation and sensitivity analysis for a model of tumor-immune interaction in the presence of immunotherapy and chemotherapy ⋮ A structure-preserving computational method in the simulation of the dynamics of cancer growth with radiotherapy ⋮ A new protocol for intermittent androgen suppression therapy of prostate cancer with unstable saddle-point dynamics ⋮ Mathematical modelling for the role of CD\(4^+\)T cells in tumor-immune interactions ⋮ Mathematical analysis on a diffusion model describing the compatibility between two types of tumor cells ⋮ Calibration of agent based models for monophasic and biphasic tumour growth using approximate Bayesian computation ⋮ Conciliating efficiency and dynamical consistency in the simulation of the effects of proliferation and motility of transforming growth factor \(\beta\) on cancer cells ⋮ Stability analysis on a hybrid PDE–ODE system describing intermittent hormonal therapy of prostate cancer ⋮ Parameter estimation and optimal scheduling algorithm for a mathematical model of intermittent androgen suppression therapy for prostate cancer ⋮ Ability of intermittent androgen suppression to selectively create a non-trivial periodic orbit for a type of prostate cancer patients ⋮ Dynamical Aspects of a Hybrid System Describing Intermittent Androgen Suppression Therapy of Prostate Cancer

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