Presenter(s)

Christopher G. Yakopcic

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Description

Human homeostasis is the body's ability to physiologically regulate its inner environment to ensure its stability in response to changes in the outside environment. An inability to maintain homeostasis may lead to death or disease, which is caused by a condition known as homeostatic imbalance. Normal cells follow the homeostasis when they proliferate and cancer cells do not. This work describes a model consisting of three reaction-diffusion equations representing in vitro interaction between two drugs. One inhibits proliferation of cancerous cells, and the other destroys these cells. A stability analysis of the model is performed with and without diffusion applied to the model. MATLAB is used to perform the stability analysis of the model.

Publication Date

4-18-2012

Project Designation

Independent Research

Primary Advisor

Muhammad Usman

Primary Advisor's Department

Mathematics

Keywords

Stander Symposium project

Stability Analysis of a Model for In Vitro Inhibition of Cancer Cell Mutation

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