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On a 2D Model of Avascular Tumor with Weak Allee Effect
Joint Authors
Feng, Peng
Dai, Zhewei
Wallace, Dorothy
Source
Journal of Applied Mathematics
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-07-01
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Feng, Peng& Dai, Zhewei& Wallace, Dorothy. 2019. On a 2D Model of Avascular Tumor with Weak Allee Effect. Journal of Applied Mathematics،Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1168952
Modern Language Association (MLA)
Feng, Peng…[et al.]. On a 2D Model of Avascular Tumor with Weak Allee Effect. Journal of Applied Mathematics No. 2019 (2019), pp.1-13.
https://search.emarefa.net/detail/BIM-1168952
American Medical Association (AMA)
Feng, Peng& Dai, Zhewei& Wallace, Dorothy. On a 2D Model of Avascular Tumor with Weak Allee Effect. Journal of Applied Mathematics. 2019. Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1168952
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1168952