Research Article | OPEN ACCESS
Designing Nonlinear Feedback Control for Controlling Tumor Growth
1ArashPourhashemi, 2Sara Haghighatnia, 2Reihaneh Kardehi Moghaddam and 2Nafiseh Mollaei
1Department of Medical Engineering
2Department of Electrical Engineering, Mashhad Branch, Islamic Azad University, Mashhad, Iran
Research Journal of Applied Sciences, Engineering and Technology 2013 21:4085-4089
Received: May 03, 2013 | Accepted: June 05, 2013 | Published: November 20, 2013
Abstract
Tumor growth models as nonlinear systems have some equilibrium points. In clinical situations, the desirable equilibrium point is the state that the competition between the populations of tumor cells and immune cells tend to the state in which the sizes of these populations do not vary (dormancy mode) or populations of tumor are zero (free tumor mode). In this study, a feedback nonlinear control for tumor growth model is designed so as to stabilize the unstable desirable equilibrium points based on Lyapunov stability theory. The aim is to steer the state trajectories to the desirable equilibrium point in order to treat cancer disease. The efficiency of the proposed method is shown in the simulation part.
Keywords:
Equilibrium point, lyapunov stability theory, nonlinear feedback control, tumor growth,
Competing interests
The authors have no competing interests.
Open Access Policy
This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Copyright
The authors have no competing interests.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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