Modeling and simulation of vascular tumors embedded in evolving capillary networks

DOI10.1016/j.cma.2021.113975zbMath1506.92003arXiv2101.10183OpenAlexW3123529561MaRDI QIDQ2237476

Prashant K. Jha, Marvin Fritz, J. Tinsley Oden, Tobias Köppl, Andreas Wagner, Barbara I. Wohlmuth

Publication date: 27 October 2021

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.10183

zbMATH Keywords

finite elementsangiogenesistumor growthfinite volume3D-1D coupled blood flow models

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite volume methods applied to problems in fluid mechanics (76M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Physiological flows (76Z05) Cell movement (chemotaxis, etc.) (92C17) Systems biology, networks (92C42) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Mathematical modeling or simulation for problems pertaining to biology (92-10)

Related Items (6)

Tumor evolution models of phase-field type with nonlocal effects and angiogenesis ⋮ A linear convex splitting scheme for the Cahn–Hilliard equation with a high‐order polynomial free energy ⋮ An optimization based 3D-1D coupling strategy for tissue perfusion and chemical transport during tumor-induced angiogenesis ⋮ Residual-based error corrector operator to enhance accuracy and reliability of neural operator surrogates of nonlinear variational boundary-value problems ⋮ Bridging scales: a hybrid model to simulate vascular tumor growth and treatment response ⋮ Goal-oriented a-posteriori estimation of model error as an aid to parameter estimation

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