Mathematical analysis and simulation study of a phase-field model of prostate cancer growth with chemotherapy and antiangiogenic therapy effects

DOI10.1142/S0218202520500220zbMath1444.92040arXiv1907.11618OpenAlexW3042974894WikidataQ126914358 ScholiaQ126914358MaRDI QIDQ5127160

Alessandro Reali, Pierluigi Colli, Guillermo Lorenzo, Gabriela Marinoschi, Elisabetta Rocca, Héctor J. Gómez

Publication date: 21 October 2020

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

Full work available at URL: https://arxiv.org/abs/1907.11618

zbMATH Keywords

well posednesssemilinear parabolic equationsprostate cancerisogeometric analysisphase fieldcomputational oncology

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Semilinear parabolic equations (35K58) Initial-boundary value problems for second-order parabolic systems (35K51) Mathematical modeling or simulation for problems pertaining to biology (92-10)

Related Items

Long time dynamics of a phase-field model of prostate cancer growth with chemotherapy and antiangiogenic therapy effects ⋮ Well-posedness for a class of phase-field systems modeling prostate cancer growth with fractional operators and general nonlinearities ⋮ Tumor evolution models of phase-field type with nonlocal effects and angiogenesis ⋮ The mathematical modeling of cancer growth and angiogenesis by an individual based interacting system ⋮ Numerical simulation of a prostate tumor growth model by the RBF-FD scheme and a semi-implicit time discretization ⋮ Optimal control of cytotoxic and antiangiogenic therapies on prostate cancer growth ⋮ Optimal control of stochastic phase-field models related to tumor growth ⋮ Sparse Optimal Control of a Phase Field Tumor Model with Mechanical Effects ⋮ An asymptotic analysis and numerical simulation of a prostate tumor growth model via the generalized moving least squares approximation combined with semi-implicit time integration

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