The global existence and numerical method for the free boundary problem of ductal carcinoma in situ
From MaRDI portal
Publication:6067268
DOI10.1002/mma.8146zbMath1527.35505OpenAlexW4213025068MaRDI QIDQ6067268
Xinyi Xu, Unnamed Author, Keji Liu, Jianfeng Yu
Publication date: 16 November 2023
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.8146
Nonlinear parabolic equations (35K55) Medical applications (general) (92C50) Free boundary problems for PDEs (35R35) Finite difference methods for boundary value problems involving PDEs (65N06)
Cites Work
- Unnamed Item
- Unnamed Item
- The migration of cells in multicell tumor spheroids
- Symmetry and related properties via the maximum principle
- Analysis of a mathematical model for the growth of tumors
- A free boundary problem model of ductal carcinoma in situ
- Growth of nonnecrotic tumors in the presence and absence of inhibitors
- Some inverse problems raised from a mathematical model of ductal carcinoma in situ
- Symmetry-breaking bifurcation of analytic solutions to free boundary problems: An application to a model of tumor growth
- Free boundary problems in biology
- A Free Boundary Problem for an Elliptic-Hyperbolic System: An Application to Tumor Growth
- Numerical algorithms for a free boundary problem model of DCIS and a related inverse problem
- A hyperbolic free boundary problem modeling tumor growth: Asymptotic behavior