Global existence for a mathematical model of the immune response to cancer
DOI10.1016/j.nonrwa.2010.02.017zbMath1203.35130OpenAlexW2089964174MaRDI QIDQ708552
Publication date: 14 October 2010
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2010.02.017
energy estimatestumor growthglobal classical solutionbootstrap argumentsstrongly coupled degenerate system
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Degenerate parabolic equations (35K65) Semilinear parabolic equations (35K58) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Dynamic theory of quasilinear parabolic equations. II: Reaction-diffusion systems
- Dynamic theory of quasilinear parabolic systems. III: Global existence
- Lie group action and stability analysis of stationary solutions for a free boundary problem modelling tumor growth
- Existence and uniqueness of global solutions for a mathematical model of antiangiogenesis in tumor growth
- Mathematical modelling of the use of macrophages as vehicles for drug delivery to hypoxic tumour sites
- Global existence of solutions for a free boundary problem modeling the growth of necrotic tumors
- Existence and uniqueness of the global solution for a mathematical model of the use of macrophages in tumor medicine
- Global existence for a parabolic-hyperbolic free boundary problem modelling tumor growth
- Dynamic theory of quasilinear parabolic equations—I. Abstract evolution equations
- Mathematical modelling of the spatio-temporal response of cytotoxic T-lymphocytes to a solid tumour
- ANALYSIS OF A MATHEMATICAL MODEL OF TUMOR LYMPHANGIOGENESIS
- A gradient-driven mathematical model of antiangiogenesis
This page was built for publication: Global existence for a mathematical model of the immune response to cancer