Application of Brody Growth Function to Describe Dynamics of Breast Cancer Cells
American Journal of Applied Mathematics
Volume 3, Issue 3, June 2015, Pages: 138-145
Received: Apr. 17, 2015; Accepted: Apr. 29, 2015; Published: May 28, 2015
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Authors
Abdulsamad Engida Sado, School of Mathematical and Statistical Sciences, Hawassa University, Hawassa, Ethiopia
Purnachandra Rao Koya, School of Mathematical and Statistical Sciences, Hawassa University, Hawassa, Ethiopia
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Abstract
In this paper we have constructed a mathematical model using Brody function and applied to describe the dynamics of breast cancer. To construct the mathematical model we considered that the linear cancer network technique describes the growth of estrogen receptor positive breast cancers. Model validity is verified using simulation study and mathematical analysis. It is verified that the hormone therapy is a technique to treat endocrine receptor positive breast cancers. Hormone therapy is considered as a treatment and used to block the estrogens receptors from the cancer and health cells. Important observations are made from the simulation study and physical interpretations are drawn and presented lucidly in the paper.
Keywords
Koya – Goshu, Brody Model, Breast Cancer, Cancer Stem Cell, Cancer Tumor Cell, Hormone Therapy and Tamoxifen
To cite this article
Abdulsamad Engida Sado, Purnachandra Rao Koya, Application of Brody Growth Function to Describe Dynamics of Breast Cancer Cells, American Journal of Applied Mathematics. Vol. 3, No. 3, 2015, pp. 138-145. doi: 10.11648/j.ajam.20150303.20
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