Nonlinear studies of tumor morphological stability using a two-fluid flow model
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Publication:667699
DOI10.1007/s00285-018-1212-3zbMath1407.76031OpenAlexW2789291093WikidataQ52353460 ScholiaQ52353460MaRDI QIDQ667699
Publication date: 1 March 2019
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00285-018-1212-3
Stokes and related (Oseen, etc.) flows (76D07) Biomechanics (92C10) Moving boundary problems for PDEs (35R37)
Related Items (8)
Numerical Study on Viscous Fingering Using Electric Fields in a Hele-Shaw Cell ⋮ Invasion fronts and adaptive dynamics in a model for the growth of cell populations with heterogeneous mobility ⋮ Tumor boundary instability induced by nutrient consumption and supply ⋮ Learning domain-independent Green's function for elliptic partial differential equations ⋮ Nonlinear simulation of an elastic tumor-host interface ⋮ Convergence analysis of neural networks for solving a free boundary problem ⋮ Complex far-field geometries determine the stability of solid tumor growth with chemotaxis ⋮ Morphological stability of an elastic tumor-host interface
Cites Work
- Unnamed Item
- Microstructural evolution in inhomogeneous elastic media
- On interfaces between cell populations with different mobilities
- Removing the stiffness from interfacial flows with surface tension
- Modelling the role of cell-cell adhesion in the growth and development of carcinomas
- Inverse acoustic and electromagnetic scattering theory.
- Nonlinear simulation of tumor growth
- Morphological changes in early melanoma development: influence of nutrients, growth inhibitors and cell-adhesion mechanisms
- Three-dimensional multispecies nonlinear tumor growth. I: Model and numerical method
- Microstructural evolution in orthotropic elastic media
- Nonlinear simulation of the effect of microenvironment on tumor growth
- Nonlinear simulations of solid tumor growth using a mixture model: invasion and branching
- Nonlinear three-dimensional simulation of solid tumor growth
- Über eine Methode zum räumlichen Neumannschen Problem mit einer Anwendung für torusartige Berandungen
- The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Boundary Integral and Singularity Methods for Linearized Viscous Flow
- Free boundary value problems associated with the growth and development of multicellular spheroids
- Bifurcation for a Free Boundary Problem Modeling Tumor Growth by Stokes Equation
- Nonlinear modelling of cancer: bridging the gap between cells and tumours
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