An optimization based 3D-1D coupling strategy for tissue perfusion and chemical transport during tumor-induced angiogenesis
DOI10.1016/j.camwa.2023.09.046arXiv2212.00692OpenAlexW4387551180MaRDI QIDQ6184110
Stefano Scialò, Stefano Berrone, Chiara Giverso, Denise Grappein, Luigi Preziosi
Publication date: 5 January 2024
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2212.00692
domain-decomposition3D-1D couplingnon conforming meshfluid and chemical transport in evolving networksmathematical model of angiogenesisoptimization methods for PDE problems
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Developmental biology, pattern formation (92C15) Existence theories for optimal control problems involving partial differential equations (49J20) Physiological flow (92C35) Cell movement (chemotaxis, etc.) (92C17) Pathology, pathophysiology (92C32)
Cites Work
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- Mathematical modelling of flow through vascular networks: implications for tumour-induced angiogenesis and chemotherapy strategies
- A deterministic model of growth factor-induced angiogenesis
- Computational models for fluid exchange between microcirculation and tissue interstitium
- Computational modeling of tumor-induced angiogenesis
- Modeling tissue perfusion in terms of 1d-3d embedded mixed-dimension coupled problems with distributed sources
- Mathematical modelling of flow in 2D and 3D vascular networks: Applications to anti-angio\-genic and chemotherapeutic drug strategies
- Mathematical modeling of capillary formation and development in tumor angiogenesis: penetration into the stroma
- Continuous and discrete mathematical models of tumor-induced angiogenesis
- Mathematical models for tumour angiogenesis: Numerical simulations and nonlinear wave solutions
- Emergent vascular network inhomogeneities and resulting blood flow patterns in a growing tumor
- A review of mathematical models for the formation of vascular networks
- Simulation of vessel morphogenesis using cellular automata
- Numerical approximations of singular source terms in differential equations
- Mathematical modeling of tumor-induced angiogenesis
- A model of growing vascular structures
- 3D-1D coupling on non conforming meshes via a three-field optimization based domain decomposition
- A cellular automaton model for tumour growth in inhomogeneous environment
- A singularity removal method for coupled 1D-3D flow models
- Vascular network remodeling via vessel cooption, regression and growth in tumors
- Modeling and simulation of vascular tumors embedded in evolving capillary networks
- Mathematical modelling of the influence of blood rheological properties upon adaptative tu\-mour-induced angiogenesis
- Finite Element Approximation of Elliptic Problems with Dirac Measure Terms in Weighted Spaces: Applications to One- and Three-dimensional Coupled Problems
- In vitroVasculogenesis Models Revisited - Measurement of VEGF Diffusion in Matrigel
- ON THE COUPLING OF 1D AND 3D DIFFUSION-REACTION EQUATIONS: APPLICATION TO TISSUE PERFUSION PROBLEMS
- Modelling solid tumour growth using the theory of mixtures
- A Mathematical Model of anIn VitroExperiment to Investigate Endothelial Cell Migration
- Derivation and analysis of coupled PDEs on manifolds with high dimensionality gap arising from topological model reduction
- Analysis and Approximation of Mixed-Dimensional PDEs on 3D-1D Domains Coupled with Lagrange Multipliers
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