A continuum mechanics model of enzyme-based tissue degradation in cancer therapies
type: Item
instance of: scholarly article
title: A continuum mechanics model of enzyme-based tissue degradation in cancer therapies
zbMATH Open document ID: 1404.92092
author: Manon Deville
author: Roberto Natalini
author: Clair Poignard
published in: Bulletin of Mathematical Biology
publication date: 2018-12-19T00:00:00Z
full work available at URL: main-springer-R2.pdf
Mathematics Subject Classification ID: 92C50
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35Q92
Mathematics Subject Classification ID: 92C37
zbMATH DE Number: 6995948
zbMATH Keywords: mathematical biology
zbMATH Keywords: poroelasticity
zbMATH Keywords: ECM degradation
zbMATH Keywords: interstitial fluid pressure
zbMATH Keywords: drug distribution in tissue
describes a project that uses: FreeFem++
MaRDI profile type: Publication
OpenAlex ID: W2588018484
Wikidata QID: Q57021340
cites work: Infiltration through Deformable Porous Media
cites work: Q4429534
cites work: Selected topics in cancer modeling. Genesis, evolution, immune competition, and therapy
cites work: Unsteady flow induced deformation of porous materials
cites work: Flow and deformation in poroelasticity. I: Unusual exact solutions.
cites work: Linear constitutive relations in isotropic finite elasticity
cites work: Introduction to modelling of transport phenomena in porous media
cites work: Incompressible porous media models by use of the theory of mixtures
cites work: General coupling of porous flows and hyperelastic formulations -- from thermodynamics principles to energy balance and compatible time schemes
cites work: Mathematical modelling of the loss of tissue compression responsiveness and its role in solid tumour development
cites work: Computational Methods for Multiphase Flows in Porous Media
cites work: Mathematical Modeling of a Solid-Liquid Mixture with Mass Exchange Between Constituents
cites work: New development in freefem++
cites work: Mathematical model for transport of DNA plasmids from the external medium up to the nucleus by electroporation
cites work: Mathematical modelling of engineered tissue growth using a multiphase porous flow mixture theory
cites work: Improved accuracy in finite element analysis of Biot's consolidation problem
cites work: On stability and convergence of finite element approximations of Biot's consolidation problem
cites work: Overcoming the problem of locking in linear elasticity and poroelasticity: an heuristic approach
cites work: Multiphase modelling of tumour growth and extracellular matrix interaction: mathematical tools and applications
cites work: A poroelastic mixture model of mechanobiological processes in biomass growth: theory and application to tissue engineering
cites work: Flow in deformable porous media. Part 1 Simple analysis
cites work: Flow in deformable porous media. Part 2 Numerical analysis – the relationship between shock waves and solitary waves
DOI: 10.1007/S11538-018-0515-2
description: scientific article; zbMATH DE number 6995948