Analysis and numerical solution of stochastic phase‐field models of tumor growth

DOI10.1002/num.21934zbMath1326.92041OpenAlexW2149567893MaRDI QIDQ5246768

Regina C. Almeida, Ernesto A. B. F. Lima, J. Tinsley Oden

Publication date: 22 April 2015

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.21934

zbMATH Keywords

finite element methodstochastic collocation methodmixture theoryavascular tumor growth

Mathematics Subject Classification ID

Medical applications (general) (92C50) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

Related Items (10)

Tumor evolution models of phase-field type with nonlocal effects and angiogenesis ⋮ A multiphase Cahn–Hilliard–Darcy model for tumour growth with necrosis ⋮ Stochastic discontinuous Galerkin methods (SDGM) based on fluctuation-dissipation balance ⋮ Toward predictive multiscale modeling of vascular tumor growth, computational and experimental oncology for tumor prediction ⋮ Local and nonlocal phase-field models of tumor growth and invasion due to ECM degradation ⋮ On the unsteady Darcy–Forchheimer–Brinkman equation in local and nonlocal tumor growth models ⋮ A fully coupled space-time multiscale modeling framework for predicting tumor growth ⋮ A coupled mass transport and deformation theory of multi-constituent tumor growth ⋮ Analysis of a new multispecies tumor growth model coupling 3D phase-fields with a 1D vascular network ⋮ Optimal control of stochastic phase-field models related to tumor growth

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