Translator Disclaimer
2019 On a 2D Model of Avascular Tumor with Weak Allee Effect
Peng Feng, Zhewei Dai, Dorothy Wallace
J. Appl. Math. 2019: 1-13 (2019). DOI: 10.1155/2019/9581072

Abstract

Recent studies reveal that Allee effect may play important roles in the growth of tumor. We present one of the first mathematical models of avascular tumor that incorporates the weak Allee effect. The model considers the densities of tumor cells in three stages: proliferating cells, quiescent cells, and necrotic cells. We investigate how Allee effect impacts the growth of the avascular tumor. We also investigate the effect of apoptosis of proliferating cells and necrosis of quiescent cells. The system is numerically solved in 2D using different sets of parameters. We show that Allee effect and apoptosis play important roles in the growth of tumor and the formation of necrotic core.

Citation

Download Citation

Peng Feng. Zhewei Dai. Dorothy Wallace. "On a 2D Model of Avascular Tumor with Weak Allee Effect." J. Appl. Math. 2019 1 - 13, 2019. https://doi.org/10.1155/2019/9581072

Information

Received: 17 December 2018; Revised: 25 April 2019; Accepted: 22 May 2019; Published: 2019
First available in Project Euclid: 22 August 2019

zbMATH: 07132130
Digital Object Identifier: 10.1155/2019/9581072

Rights: Copyright © 2019 Hindawi

JOURNAL ARTICLE
13 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.2019 • 2019
Back to Top