Steady-State Analysis of Necrotic Core Formation for Solid Avascular Tumors with Time Delays in Regulatory ApoptosisReport as inadecuate




Steady-State Analysis of Necrotic Core Formation for Solid Avascular Tumors with Time Delays in Regulatory Apoptosis - Download this document for free, or read online. Document in PDF available to download.

Computational and Mathematical Methods in Medicine - Volume 2014 2014, Article ID 467158, 4 pages -

Research Article

College of Urban Railway Transportation, Shanghai University of Engineering Science, Shanghai 201620, China

School of Mathematics and Statistics, Zhaoqing University, Zhaoqing 526061, China

Received 10 April 2014; Revised 24 August 2014; Accepted 25 August 2014; Published 13 October 2014

Academic Editor: Chung-Min Liao

Copyright © 2014 Fangwei Zhang and Shihe Xu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A mathematical model for the growth of solid avascular tumor with time delays in regulatory apoptosis is studied. The existence of stationary solutions and the mechanism of formation of necrotic cores in the growth of the tumors are studied. The results show that if the natural death rate of the tumor cell exceeds a fixed positive constant, thenthe dormant tumor is nonnecrotic; otherwise, the dormant tumor is necrotic.





Author: Fangwei Zhang and Shihe Xu

Source: https://www.hindawi.com/



DOWNLOAD PDF




Related documents