Back to Search
Start Over
Global Bounded Classical Solutions for a Gradient-Driven Mathematical Model of Antiangiogenesis in Tumor Growth
- Source :
- Mathematical Problems in Engineering, Vol 2020 (2020)
- Publication Year :
- 2020
- Publisher :
- Hindawi, 2020.
-
Abstract
- In this paper, we consider a gradient-driven mathematical model of antiangiogenesis in tumor growth. In the model, the movement of endothelial cells is governed by diffusion of themselves and chemotaxis in response to gradients of tumor angiogenic factors and angiostatin. The concentration of tumor angiogenic factors and angiostatin is assumed to diffuse and decay. The resulting system consists of three parabolic partial differential equations. In the present paper, we study the global existence and boundedness of classical solutions of the system under homogeneous Neumann boundary conditions.
- Subjects :
- Physics
0209 industrial biotechnology
Angiostatin
Partial differential equation
Article Subject
General Mathematics
Quantitative Biology::Tissues and Organs
010102 general mathematics
Mathematical analysis
General Engineering
Chemotaxis
02 engineering and technology
Engineering (General). Civil engineering (General)
01 natural sciences
Quantitative Biology::Cell Behavior
020901 industrial engineering & automation
Homogeneous
Bounded function
Neumann boundary condition
QA1-939
Tumor growth
0101 mathematics
Diffusion (business)
TA1-2040
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 1024123X
- Database :
- OpenAIRE
- Journal :
- Mathematical Problems in Engineering
- Accession number :
- edsair.doi.dedup.....b611fc74fa118692733e9859011e8b62
- Full Text :
- https://doi.org/10.1155/2020/9708201