A biophysical model of tumor invasion
type: Item
instance of: scholarly article
title: A biophysical model of tumor invasion
zbMATH Open document ID: 1485.92050
author: Sashikumaar Ganesan
author: Shangerganesh Lingeshwaran
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2020-10-07T00:00:00Z
Mathematics Subject Classification ID: 92C50
Mathematics Subject Classification ID: 92C37
Mathematics Subject Classification ID: 92C17
zbMATH DE Number: 7257384
zbMATH Keywords: cancer invasion
zbMATH Keywords: nonlinear diffusion
zbMATH Keywords: nonlinear haptotaxis effect
zbMATH Keywords: finite element simulations
zbMATH Keywords: breast geometry
Wikidata QID: Q111492480
describes a project that uses: UMFPACK
MaRDI profile type: Publication
full work available at URL: j.cnsns.2016.10.013
OpenAlex ID: W2537285213
cites work: Mathematical Modelling of Tumour Invasion and Metastasis
cites work: Continuous and discrete mathematical models of tumor-induced angiogenesis
cites work: A history of the study of solid tumour growth: the contribution of mathematical modelling
cites work: Mathematical modelling of cancer invasion of tissue: dynamic heterogeneity
cites work: MATHEMATICAL MODELLING OF CANCER CELL INVASION OF TISSUE: THE ROLE OF THE UROKINASE PLASMINOGEN ACTIVATION SYSTEM
cites work: Numerical simulation of a thermodynamically consistent four-species tumor growth model
cites work: Algorithm 832
cites work: A column pre-ordering strategy for the unsymmetric-pattern multifrontal method
cites work: Discontinuous Galerkin methods for the chemotaxis and haptotaxis models
cites work: Mathematical modelling of radiotherapy strategies for early breast cancer
cites work: An accurate finite element scheme with moving meshes for computing 3D-axisymmetric interface flows
cites work: Mathematical modelling of cancer cell invasion of tissue: local and non-local models and the effect of adhesion
cites work: Breast Cancer: Modelling and Detection
cites work: A user's guide to PDE models for chemotaxis
cites work: Preventing blow up in a chemotaxis model
cites work: Nonlinear modelling of cancer: bridging the gap between cells and tumours
cites work: Mathematical modelling, analysis and numerical simulations for the influence of heat shock proteins on tumour invasion
cites work: A mathematical model of vascular tumour growth and invasion
cites work: Adaptive finite element methodology for tumour angiogenesis modelling
cites work: Mathematical Models of Avascular Tumor Growth
cites work: Chemotaxis and chemokinesis in eukaryotic cells: The Keller-Segel equations as an approximation to a detailed model
cites work: An AFC-stabilized implicit finite element method for partial differential equations on evolving-in-time surfaces
cites work: A data-motivated density-dependent diffusion model of in vitro glioblastoma growth
cites work: A positivity-preserving finite element method for chemotaxis problems in 3D
cites work: Efficient, accurate and flexible finite element solvers for chemotaxis problems
cites work: Large Time Behavior in a Multidimensional Chemotaxis-Haptotaxis Model with Slow Signal Diffusion
cites work: A density-dependent chemotaxis-haptotaxis system modeling cancer invasion
cites work: Nonlinear simulation of tumor necrosis, neo-vascularization and tissue invasion via an adaptive finite-element/level-set method
DOI: 10.1016/J.CNSNS.2016.10.013
description: scientific article; zbMATH DE number 7257384