A continuum mechanics model of enzyme-based tissue degradation in cancer therapies
DOI10.1007/s11538-018-0515-2zbMath1404.92092OpenAlexW2588018484WikidataQ57021340 ScholiaQ57021340MaRDI QIDQ1633267
Clair Poignard, Roberto Natalini, Manon Deville
Publication date: 19 December 2018
Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://hal.inria.fr/hal-01889575/file/main-springer-R2.pdf
mathematical biologyporoelasticitydrug distribution in tissueECM degradationinterstitial fluid pressure
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Cell biology (92C37)
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- General coupling of porous flows and hyperelastic formulations -- from thermodynamics principles to energy balance and compatible time schemes
- Mathematical model for transport of DNA plasmids from the external medium up to the nucleus by electroporation
- Overcoming the problem of locking in linear elasticity and poroelasticity: an heuristic approach
- Selected topics in cancer modeling. Genesis, evolution, immune competition, and therapy
- Incompressible porous media models by use of the theory of mixtures
- Introduction to modelling of transport phenomena in porous media
- Improved accuracy in finite element analysis of Biot's consolidation problem
- Unsteady flow induced deformation of porous materials
- Linear constitutive relations in isotropic finite elasticity
- Flow and deformation in poroelasticity. I: Unusual exact solutions.
- A poroelastic mixture model of mechanobiological processes in biomass growth: theory and application to tissue engineering
- Multiphase modelling of tumour growth and extracellular matrix interaction: mathematical tools and applications
- Mathematical modelling of engineered tissue growth using a multiphase porous flow mixture theory
- Mathematical modelling of the loss of tissue compression responsiveness and its role in solid tumour development
- Mathematical Modeling of a Solid-Liquid Mixture with Mass Exchange Between Constituents
- Flow in deformable porous media. Part 1 Simple analysis
- Flow in deformable porous media. Part 2 Numerical analysis – the relationship between shock waves and solitary waves
- On stability and convergence of finite element approximations of Biot's consolidation problem
- Infiltration through Deformable Porous Media
- New development in freefem++
- Computational Methods for Multiphase Flows in Porous Media
- Unnamed Item
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