Concepedia

Multiscale Modeling of Glioma Invasion: From Receptor Binding to Flux-Limited Macroscopic PDEs

Anne Dietrich, Niklas Kolbe, Nikolaos Sfakianakis, Christina Surulescu

Multiscale Modeling and Simulation · 2022 · 17 citations · 36 references

DOIFull text

Open access

Abstract

Funding: The work of the first and fourth authors was supported by the German Federal Ministry of Education and Research (BMBF) through project GlioMaTh 05M2016. The work of the third author was supported by the Postdoctoral Fellowship for Research in Japan (Standard) of the Japan Society for the Promotion of Science.

References

36

Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method

Bram van Leer · Journal of Computational Physics · 1979 · 6.9K citations

, , +7

Blood flow, oxygen and nutrient supply, and metabolic microenvironment of human tumors: a review.

Peter Vaupel, F. Kallinowski, Paul Okunieff · PubMed · 1989 · 3.4K citations

, , +20

Disruption of epithelial cell-matrix interactions induces apoptosis

SM Frisch, H. Francis · The Journal of Cell Biology · 1994 · 3.2K citations · Full text

, , +15

Implicit–Explicit Runge–Kutta Schemes and Applications to Hyperbolic Systems with Relaxation

Lorenzo Pareschi, Giovanni Russo · Journal of Scientific Computing · 2005 · 537 citations

, , +5

The Diffusion Limit of Transport Equations II: Chemotaxis Equations

Hans G. Othmer, Thomas Hillen · SIAM Journal on Applied Mathematics · 2002 · 354 citations

, , +11