Macro-scale models for fluid flow in tumour tissues: impact of microstructure properties
type: Item
instance of: scholarly article
title: Macro-scale models for fluid flow in tumour tissues: impact of microstructure properties
zbMATH Open document ID: 1486.92054
author: Cristina Vaghi
author: Raphaëlle Fanciullino
author: S. Benzekry
author: Clair Poignard
published in: Journal of Mathematical Biology
publication date: 2022-03-14T00:00:00Z
Mathematics Subject Classification ID: 92C35
Mathematics Subject Classification ID: 92C32
Mathematics Subject Classification ID: 35B27
zbMATH DE Number: 7488588
zbMATH Keywords: two-scale homogenisation
zbMATH Keywords: fluid flow in tumours
zbMATH Keywords: interstitial fluid pressure
zbMATH Keywords: tumour microscopic structure
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1101/2020.07.02.180026
OpenAlex ID: W3040374468
cites work: Homogenization and Two-Scale Convergence
cites work: On a hierarchy of models for electrical conduction in biological tissues
cites work: Homogenization of a Darcy-Stokes system modeling vuggy porous media
cites work: Vascular network remodeling via vessel cooption, regression and growth in tumors
cites work: Analysis of coupled intra- and extraluminal flows for single and multiple capillaries
cites work: On the application of the homogenization theory to a class of problems arising in fluid mechanics
cites work: Navier-Stokes/Darcy coupling: modeling, analysis, and numerical approximation
cites work: GENERALIZED IMPEDANCE BOUNDARY CONDITIONS FOR SCATTERING BY STRONGLY ABSORBING OBSTACLES: THE SCALAR CASE
cites work: Determination of the size of the representative volume element for random composites: Statistical and numerical approach.
cites work: Perturbation theory for linear operators.
cites work: Coupling Fluid Flow with Porous Media Flow
cites work: Angiogenesis and vascular remodelling in normal and cancerous tissues
cites work: Homogenized modeling for vascularized poroelastic materials
cites work: Effective governing equations for poroelastic growing media
cites work: Multiscale homogenization for fluid and drug transport in vascularized malignant tissues
cites work: Asymptotic expansion of steady-state potential in a high contrast medium with a thin resistive layer
cites work: On the Boundary Condition at the Surface of a Porous Medium
cites work: A mixture theory model of fluid and solute transport in the microvasculature of normal and malignant tissues. I. Theory
cites work: Multiscale modelling of fluid and drug transport in vascular tumours
cites work: Asymptotic analysis of a biphase tumor fluid flow: the weak coupling case.
DOI: 10.1101/2020.07.02.180026
DOI: 10.1007/S00285-022-01719-1
Wikidata QID: Q113905403
description: scientific article; zbMATH DE number 7488588