Global Bounded Classical Solutions for a Gradient-Driven Mathematical Model of Antiangiogenesis in Tumor Growth
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-01-09
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Yang, Xiaofei& Lu, Bo. 2020. Global Bounded Classical Solutions for a Gradient-Driven Mathematical Model of Antiangiogenesis in Tumor Growth. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-5.
https://search.emarefa.net/detail/BIM-1202417
Modern Language Association (MLA)
Yang, Xiaofei& Lu, Bo. Global Bounded Classical Solutions for a Gradient-Driven Mathematical Model of Antiangiogenesis in Tumor Growth. Mathematical Problems in Engineering No. 2020 (2020), pp.1-5.
https://search.emarefa.net/detail/BIM-1202417
American Medical Association (AMA)
Yang, Xiaofei& Lu, Bo. Global Bounded Classical Solutions for a Gradient-Driven Mathematical Model of Antiangiogenesis in Tumor Growth. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-5.
https://search.emarefa.net/detail/BIM-1202417
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1202417