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2013 (Vol. 6, Issue: 21)
Article Information:

Designing Nonlinear Feedback Control for Controlling Tumor Growth

ArashPourhashemi, Sara Haghighatnia, Reihaneh Kardehi Moghaddam and Nafiseh Mollaei
Corresponding Author:  Arash Pourhashemi 

Key words:  Equilibrium point, lyapunov stability theory, nonlinear feedback control, tumor growth, , ,
Vol. 6 , (21): 4085-4089
Submitted Accepted Published
May 03, 2013 June 05, 2013 November 20, 2013

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.
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  Cite this Reference:
ArashPourhashemi, Sara Haghighatnia, Reihaneh Kardehi Moghaddam and Nafiseh Mollaei, 2013. Designing Nonlinear Feedback Control for Controlling Tumor Growth.  Research Journal of Applied Sciences, Engineering and Technology, 6(21): 4085-4089.
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ISSN (Online):  2040-7467
ISSN (Print):   2040-7459
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