A moving mesh study for diffusion induced effects in avascular tumour growth
From MaRDI portal
Publication:1732508
DOI10.1016/j.camwa.2017.12.024zbMath1409.92110OpenAlexW2783515631MaRDI QIDQ1732508
Publication date: 25 March 2019
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2017.12.024
Medical applications (general) (92C50) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A history of the study of solid tumour growth: the contribution of mathematical modelling
- On the mechanics of a growing tumor
- Adaptive moving mesh methods
- Moving mesh partial differential equations to describe nematic order dynamics
- Mathematical modeling of cancer cell invasion of tissue: biological insight from mathematical analysis and computational simulation
- Mathematical modeling of capillary formation and development in tumor angiogenesis: penetration into the stroma
- Numerical models for differential problems. Translated by Silvia Quarteroni.
- Convergence analysis of finite difference approximations on equidistributed grids to a singularly perturbed boundary value problem
- A new mathematical model for avascular tumour growth
- Multiphase modelling of vascular tumour growth in two spatial dimensions
- Adaptive grid modelling for cancer cells in the early stage of invasion
- Multiphase modelling of tumour growth and extracellular matrix interaction: mathematical tools and applications
- Multiscale modelling and nonlinear simulation of vascular tumour growth
- On Selection of Equidistributing Meshes for Two-Point Boundary-Value Problems
- Moving Mesh Partial Differential Equations (MMPDES) Based on the Equidistribution Principle
- Using Krylov Methods in the Solution of Large-Scale Differential-Algebraic Systems
- Modelling the interactions between tumour cells and a blood vessel in a microenvironment within a vascular tumour
- Mathematical Modelling of Tumour Invasion and Metastasis
- ON THE CLOSURE OF MASS BALANCE MODELS FOR TUMOR GROWTH
- Cancer Modelling and Simulation
- Modelling solid tumour growth using the theory of mixtures
- MATHEMATICAL MODELLING OF CANCER CELL INVASION OF TISSUE: THE ROLE OF THE UROKINASE PLASMINOGEN ACTIVATION SYSTEM
- Nonlinear modelling of cancer: bridging the gap between cells and tumours
- On the numerical solution of one-dimensional PDEs using adaptive methods based on equidistribution
- Practical aspects of formulation and solution of moving mesh partial differential equations
This page was built for publication: A moving mesh study for diffusion induced effects in avascular tumour growth
