Hybrid Models for Simulating Blood Flow in Microvascular Networks
From MaRDI portal
Publication:5222102
DOI10.1137/18M1228712zbMath1433.76200arXiv1811.10373OpenAlexW2975856157MaRDI QIDQ5222102
Ettore Vidotto, Tobias Köppl, Timo Koch, Rainer Helmig, Barbara I. Wohlmuth
Publication date: 31 March 2020
Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.10373
Flows in porous media; filtration; seepage (76S05) Physiological flows (76Z05) Homogenization applied to problems in fluid mechanics (76M50) Physiological flow (92C35)
Related Items (11)
A computational model applied to myocardial perfusion in the human heart: from large coronaries to microvasculature ⋮ Frontiers in Mortar Methods for Isogeometric Analysis ⋮ Tumor evolution models of phase-field type with nonlocal effects and angiogenesis ⋮ Multiscale Constitutive Framework of One-Dimensional Blood Flow Modeling: Asymptotic Limits and Numerical Methods ⋮ Mixed Dimensional Modeling with Overlapping Continua on Cartesian Grids for Complex Applications ⋮ DuMu\(^{\text x} 3\) -- an open-source simulator for solving flow and transport problems in porous media with a focus on model coupling ⋮ Modeling and simulation of vascular tumors embedded in evolving capillary networks ⋮ Coupled Flow and Mechanics in a 3D Porous Media with Line Sources ⋮ Analysis of a new multispecies tumor growth model coupling 3D phase-fields with a 1D vascular network ⋮ A Mixed Approach to the Poisson Problem with Line Sources ⋮ Modeling tissue perfusion in terms of 1d-3d embedded mixed-dimension coupled problems with distributed sources
Uses Software
Cites Work
- Multiscale modelling of fluid and drug transport in vascular tumours
- Multi-scale homogenization of blood flow in 3-dimensional human cerebral microvascular networks
- Cardiovascular mathematics. Modeling and simulation of the circulatory system
- Analytical characterization of heat transport through biological media incorporating hyperthermia treatment
- A Green's function method for analysis of oxygen delivery to tissue by microvascular networks
- The role of porous media in modeling flow and heat transfer in biological tissues.
- Handbook of numerical analysis. Vol XII. Special volume: Computational models for the human body.
- A mixed finite element method for modeling the fluid exchange between microcirculation and tissue interstitium
- Finite Element Approximation of Elliptic Problems with Dirac Measure Terms in Weighted Spaces: Applications to One- and Three-dimensional Coupled Problems
- A Local Error Estimate for the Poisson Equation with a Line Source Term
- ON THE COUPLING OF 1D AND 3D DIFFUSION-REACTION EQUATIONS: APPLICATION TO TISSUE PERFUSION PROBLEMS
- Mathematical modeling, analysis and numerical approximation of second-order elliptic problems with inclusions
- Splitting method for elliptic equations with line sources
- A hybrid discrete–continuum approach for modelling microcirculatory blood flow
- Multiscale homogenization for fluid and drug transport in vascularized malignant tissues
- Multiscale modelling of the circulatory system: a preliminary analysis
This page was built for publication: Hybrid Models for Simulating Blood Flow in Microvascular Networks
