An asymptotic analysis and numerical simulation of a prostate tumor growth model via the generalized moving least squares approximation combined with semi-implicit time integration
DOI10.1016/j.apm.2021.12.011zbMath1505.92104OpenAlexW4200616612MaRDI QIDQ2109856
Nima Noii, Amirreza Khodadadian, Mehdi Dehghan, Vahid Mohammadi, Thomas Wick
Publication date: 21 December 2022
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2021.12.011
asymptotic analysisgeneralized minimal residual methodgeneralized moving least squares approximationmathematical oncologyprostate tumor growth model
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Cell biology (92C37)
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- Matlab
- The spatial patterns through diffusion-driven instability in a predator-prey model
- A guide to RBF-generated finite differences for nonlinear transport: shallow water simulations on a sphere
- Mathematical modelling of cancer invasion: implications of cell adhesion variability for tumour infiltrative growth patterns
- An adaptive multigrid algorithm for simulating solid tumor growth using mixture models
- Mathematical model and its fast numerical method for the tumor growth
- Error bounds for GMLS derivatives approximations of Sobolev functions
- Continuous and discrete mathematical models of tumor-induced angiogenesis
- Spatiotemporal dynamics of reaction-diffusion models of interacting populations
- An accurate front capturing scheme for tumor growth models with a free boundary limit
- Three-dimensional multispecies nonlinear tumor growth. II: Tumor invasion and angiogenesis
- Mathematical modelling of cancer cell invasion of tissue: local and non-local models and the effect of adhesion
- Three-dimensional multispecies nonlinear tumor growth. I: Model and numerical method
- Simulation of the phase field Cahn-Hilliard and tumor growth models via a numerical scheme: element-free Galerkin method
- Hyperviscosity-based stabilization for radial basis function-finite difference (RBF-FD) discretizations of advection-diffusion equations
- A linearized element-free Galerkin method for the complex Ginzburg-Landau equation
- Analysis of the element-free Galerkin method with penalty for general second-order elliptic problems
- An element-free Galerkin method for the obstacle problem
- Numerical simulation of a prostate tumor growth model by the RBF-FD scheme and a semi-implicit time discretization
- A divergence-free generalized moving least squares approximation with its application
- Spatiotemporal complexity of a discrete space-time predator-prey system with self- and cross-diffusion
- An element-free Galerkin meshless method for simulating the behavior of cancer cell invasion of surrounding tissue
- Hierarchically refined and coarsened splines for moving interface problems, with particular application to phase-field models of prostate tumor growth
- Enhancing finite differences with radial basis functions: experiments on the Navier-Stokes equations
- Numerical simulation of a thermodynamically consistent four-species tumor growth model
- On generalized moving least squares and diffuse derivatives
- A Primer on Radial Basis Functions with Applications to the Geosciences
- Mathematical Modelling of Tumour Invasion and Metastasis
- Stefan and Hele-Shaw type models as asymptotic limits of the phase-field equations
- A hybrid three-scale model of tumor growth
- A Simple Mesh Generator in MATLAB
- Local and nonlocal phase-field models of tumor growth and invasion due to ECM degradation
- On the unsteady Darcy–Forchheimer–Brinkman equation in local and nonlocal tumor growth models
- Mathematical analysis and simulation study of a phase-field model of prostate cancer growth with chemotherapy and antiangiogenic therapy effects
- Formal asymptotic limit of a diffuse-interface tumor-growth model
- A Radial Basis Function (RBF) Compact Finite Difference (FD) Scheme for Reaction-Diffusion Equations on Surfaces
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