Multiscale Modeling of Glioma Invasion: From Receptor Binding to Flux-Limited Macroscopic PDEs
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Publication:5099847
DOI10.1137/21M1412104zbMath1493.92010arXiv2010.03277OpenAlexW3092346331WikidataQ113779046 ScholiaQ113779046MaRDI QIDQ5099847
Anne Dietrich, Nikolaos Sfakianakis, Christina Surulescu, Niklas Kolbe
Publication date: 26 August 2022
Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.03277
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) PDEs of mixed type (35M10) Cell movement (chemotaxis, etc.) (92C17)
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Cites Work
- Unnamed Item
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- Glioma follow white matter tracts: a multiscale DTI-based model
- Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation
- A study on time discretization and adaptive mesh refinement methods for the simulation of cancer invasion: the urokinase model
- Mathematical modelling of cancer invasion of tissue: dynamic heterogeneity
- \(M^5\) mesoscopic and macroscopic models for mesenchymal motion
- A multiscale model for glioma spread including cell-tissue interactions and proliferation
- An image-driven parameter estimation problem for a reaction-diffusion glioma growth model with mass effects
- A mathematical model for pattern formation of glioma cells outside the tumor spheroid core
- A patient-specific anisotropic diffusion model for brain tumour spread
- Derivation of a bacterial nutrient-taxis system with doubly degenerate cross-diffusion as the parabolic limit of a velocity-jump process
- Multiscale modeling of glioma pseudopalisades: contributions from the tumor microenvironment
- Modeling multiple taxis: tumor invasion with phenotypic heterogeneity, haptotaxis, and unilateral interspecies repellence
- A novel 3D atomistic-continuum cancer invasion model: in silico simulations of an \textit{in vitro} organotypic invasion assay
- The flux limited Keller-Segel system; properties and derivation from kinetic equations
- Modelling physical limits of migration by a kinetic model with non-local sensing
- Stability of a non-local kinetic model for cell migration with density dependent orientation bias
- Nonlocal and local models for taxis in cell migration: a rigorous limit procedure
- Mathematical modeling of glioma invasion: acid- and vasculature mediated go-or-grow dichotomy and the influence of tissue anisotropy
- Kinetic models with non-local sensing determining cell polarization and speed according to independent cues
- Mathematical modelling of glioma growth: the use of diffusion tensor imaging (DTI) data to predict the anisotropic pathways of cancer invasion
- Flux-saturated porous media equations and applications
- Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
- A multiscale modeling approach to glioma invasion with therapy
- A multiscale approach to the migration of cancer stem cells: mathematical modelling and simulations
- Modeling complex living systems. A kinetic theory and stochastic game approach.
- Modeling cell movement in anisotropic and heterogeneous network tissues
- The Diffusion Limit of Transport Equations II: Chemotaxis Equations
- Global existence for a go-or-grow multiscale model for tumor invasion with therapy
- A MULTISCALE APPROACH TO CELL MIGRATION IN TISSUE NETWORKS
- On a class of multiscale cancer cell migration models: Well-posedness in less regular function spaces
- MULTISCALE BIOLOGICAL TISSUE MODELS AND FLUX-LIMITED CHEMOTAXIS FOR MULTICELLULAR GROWING SYSTEMS
- Higher-order models for glioma invasion: From a two-scale description to effective equations for mass density and momentum
- A strongly degenerate diffusion‐haptotaxis model of tumour invasion under the go‐or‐grow dichotomy hypothesis
- Effective equations for anisotropic glioma spread with proliferation: a multiscale approach and comparisons with previous settings
- A Novel Derivation of Rigorous Macroscopic Limits from a Micro-Meso Description of Signal-Triggered Cell Migration in Fibrous Environments
- A Hybrid Multiscale Model for Cancer Invasion of the Extracellular Matrix
- Modeling glioma invasion with anisotropy- and hypoxia-triggered motility enhancement: From subcellular dynamics to macroscopic PDEs with multiple taxis
