MATHEMATICAL MODELING OF PROSTATE TUMOR GROWTH UNDER INTERMITTENT ANDROGEN SUPPRESSION WITH PARTIAL DIFFERENTIAL EQUATIONS

DOI10.1142/S0218127408022743zbMath1165.92309MaRDI QIDQ5322609

Qian Guo, Youshan Tao, Kazuyuki Aihara

Publication date: 21 July 2009

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

prostate cancerintermittent androgen suppressionPDE modelandrogen-independent cells

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50)

Related Items (11)

A new protocol for intermittent androgen suppression therapy of prostate cancer with unstable saddle-point dynamics ⋮ Dynamics and implications of models for intermittent androgen suppression therapy ⋮ Stability analysis on a hybrid PDE–ODE system describing intermittent hormonal therapy of prostate cancer ⋮ A partial differential equation model and its reduction to an ordinary differential equation model for prostate tumor growth under intermittent hormone therapy ⋮ Combination of singularly perturbed vector field method and method of directly defining the inverse mapping applied to complex ODE system prostate cancer model ⋮ Parameter estimation and optimal scheduling algorithm for a mathematical model of intermittent androgen suppression therapy for prostate cancer ⋮ A mathematical model of prostate tumor growth under hormone therapy with mutation inhibitor ⋮ A MODEL AT THE MACROSCOPIC SCALE OF PROSTATE TUMOR GROWTH UNDER INTERMITTENT ANDROGEN SUPPRESSION ⋮ Dynamical Aspects of a Hybrid System Describing Intermittent Androgen Suppression Therapy of Prostate Cancer ⋮ Practically scheduling hormone therapy for prostate cancer using a mathematical model ⋮ Noise induced suppression of spiral waves in a hybrid FitzHugh–Nagumo neuron with discontinuous resetting

Cites Work

• 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 to study the effects of drug resistance and vasculature on the response of solid tumors to chemotherapy
• Vascular tumor growth and treatment: Consequences of polyclonality, competition and dynamic vascular support
• Mathematical modelling of drug transport in tumour multicell spheroids and monolayer cultures
• A mathematical model of intermittent androgen suppression for prostate cancer
• An elliptic–hyperbolic free boundary problem modelling cancer therapy

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