On a Reaction-Cross-Diffusion System Modeling the Growth of Glioblastoma
From MaRDI portal
Publication:5208243
DOI10.1137/18M1194559zbMath1428.35157arXiv1710.03970WikidataQ126356559 ScholiaQ126356559MaRDI QIDQ5208243
Patricia Friele, Martin Burger, Jan-Frederik Pietschmann
Publication date: 15 January 2020
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.03970
Nonlinear parabolic equations (35K55) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic systems (35K45)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Travelling wave analysis of a mathematical model of glioblastoma growth
- Glioma follow white matter tracts: a multiscale DTI-based model
- Cross-diffusion systems with excluded-volume effects and asymptotic gradient flow structures
- Mathematically modeling the biological properties of gliomas: A review
- Travelling wave solutions to the K-P-P equation: alternatives to Simon Harris' probabilistic analysis.
- Fisher-KPP equations and applications to a model in medical sciences
- A note on Aubin-Lions-Dubinskiĭ lemmas
- Effective particle methods for Fisher-Kolmogorov equations: theory and applications to brain tumor dynamics
- Mathematical modelling of glioma growth: the use of diffusion tensor imaging (DTI) data to predict the anisotropic pathways of cancer invasion
- On a cross-diffusion model for multiple species with nonlocal interaction and size exclusion
- Lane Formation by Side-Stepping
- Convergence of solutions of the Kolmogorov equation to travelling waves
- On the transition from initial data to travelling waves in the fisher-kpp equation
- Algebra, analysis and probability for a coupled system of reaction-duffusion equations
- Nonlinear Cross-Diffusion with Size Exclusion
- The boundedness-by-entropy method for cross-diffusion systems
This page was built for publication: On a Reaction-Cross-Diffusion System Modeling the Growth of Glioblastoma