A biophysical model of tumor invasion
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Publication:2005152
DOI10.1016/j.cnsns.2016.10.013zbMath1485.92050OpenAlexW2537285213WikidataQ111492480 ScholiaQ111492480MaRDI QIDQ2005152
Sashikumaar Ganesan, Shangerganesh Lingeshwaran
Publication date: 7 October 2020
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2016.10.013
nonlinear diffusionfinite element simulationscancer invasionbreast geometrynonlinear haptotaxis effect
Medical applications (general) (92C50) Cell biology (92C37) Cell movement (chemotaxis, etc.) (92C17)
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Cites Work
- A history of the study of solid tumour growth: the contribution of mathematical modelling
- Nonlinear simulation of tumor necrosis, neo-vascularization and tissue invasion via an adaptive finite-element/level-set method
- Efficient, accurate and flexible finite element solvers for chemotaxis problems
- A data-motivated density-dependent diffusion model of in vitro glioblastoma growth
- Mathematical modelling of cancer invasion of tissue: dynamic heterogeneity
- A density-dependent chemotaxis-haptotaxis system modeling cancer invasion
- A user's guide to PDE models for chemotaxis
- Continuous and discrete mathematical models of tumor-induced angiogenesis
- Chemotaxis and chemokinesis in eukaryotic cells: The Keller-Segel equations as an approximation to a detailed model
- Preventing blow up in a chemotaxis model
- Mathematical modelling of cancer cell invasion of tissue: local and non-local models and the effect of adhesion
- A mathematical model of vascular tumour growth and invasion
- A positivity-preserving finite element method for chemotaxis problems in 3D
- Mathematical modelling of radiotherapy strategies for early breast cancer
- Mathematical modelling, analysis and numerical simulations for the influence of heat shock proteins on tumour invasion
- An AFC-stabilized implicit finite element method for partial differential equations on evolving-in-time surfaces
- Discontinuous Galerkin methods for the chemotaxis and haptotaxis models
- Numerical simulation of a thermodynamically consistent four-species tumor growth model
- Mathematical Models of Avascular Tumor Growth
- Large Time Behavior in a Multidimensional Chemotaxis-Haptotaxis Model with Slow Signal Diffusion
- An accurate finite element scheme with moving meshes for computing 3D-axisymmetric interface flows
- Adaptive finite element methodology for tumour angiogenesis modelling
- Mathematical Modelling of Tumour Invasion and Metastasis
- Breast Cancer: Modelling and Detection
- A column pre-ordering strategy for the unsymmetric-pattern multifrontal method
- Algorithm 832
- 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
