Solutions of a Linearized Mathematical Model for Capillary Formation in Tumor Angiogenesis : An Initial Data Perturbation Approximation
Author
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-08-18
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We present a mathematical model for capillary formation in tumor angiogenesis and solve it by linearizing it using an initial data perturbation method.
This method is highly effective to obtain solutions of nonlinear coupled differential equations.
We also provide a specific example resulting, that even a few terms of the obtained series solutions are enough to have an idea for the endothelial cell movement in a capillary.
MATLAB-generated figures are provided, and the stability criteria are determined for the steady-state solution of the cell equation.
American Psychological Association (APA)
Pamuk, Serdal. 2013. Solutions of a Linearized Mathematical Model for Capillary Formation in Tumor Angiogenesis : An Initial Data Perturbation Approximation. Computational and Mathematical Methods in Medicine،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-498188
Modern Language Association (MLA)
Pamuk, Serdal. Solutions of a Linearized Mathematical Model for Capillary Formation in Tumor Angiogenesis : An Initial Data Perturbation Approximation. Computational and Mathematical Methods in Medicine No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-498188
American Medical Association (AMA)
Pamuk, Serdal. Solutions of a Linearized Mathematical Model for Capillary Formation in Tumor Angiogenesis : An Initial Data Perturbation Approximation. Computational and Mathematical Methods in Medicine. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-498188
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-498188