In this paper we present the method of lines to obtain the numerical solution of a mathematical model for the roles of endothelial, pericyte and macrophage cells in the initiation of tumor angiogenesis. This method is an approach to the numerical solution of partial differential equations that involve a time variable t and a space variable x. We provide computer programs written in Matlab. Also, the stability analysis of the solutions is given, and the figures for endothelial, pericyte and macrophage cell movements in the capillary are presented for large times
Primary Language  Turkish 

Journal Section  Research Article 
Authors 

Publication Date  December 1, 2013 
Published in Issue  Year 2013, Volume 3, Issue 2 
Bibtex  @ { twmsjaem761409, journal = {TWMS Journal of Applied and Engineering Mathematics}, issn = {21461147}, eissn = {25871013}, address = {Işık University ŞİLE KAMPÜSÜ Meşrutiyet Mahallesi, Üniversite Sokak No:2 Şile / İstanbul}, publisher = {Turkic World Mathematical Society}, year = {2013}, volume = {3}, number = {2}, pages = {182  197}, title = {THE METHOD OF LINES FOR THE NUMERICAL SOLUTION OF A MATHEMATICAL MODEL IN THE INITIATION OF ANGIOGENESIS}, key = {cite}, author = {Pamuk, S. and Atac, I.} } 