A MODEL AT THE MACROSCOPIC SCALE OF PROSTATE TUMOR GROWTH UNDER INTERMITTENT ANDROGEN SUPPRESSION

DOI10.1142/S021820250900408XzbMath1180.35584MaRDI QIDQ3400124

Qian Guo, Youshan Tao, Kazuyuki Aihara

Publication date: 5 February 2010

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

competitionprostate cancermacroscopic modelintermittent androgen suppressionandrogen-independent cells

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Free boundary problems for PDEs (35R35) Medical epidemiology (92C60)

Related Items (10)

A nonlinear competitive model of the prostate tumor growth under intermittent androgen suppression ⋮ A new protocol for intermittent androgen suppression therapy of prostate cancer with unstable saddle-point dynamics ⋮ From kinetic models of multicellular growing systems to macroscopic biological tissue models ⋮ 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 ⋮ 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

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