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2013 (Vol. 6, Issue: 15)
Article Information:

Improving Clinical Conditions by Enlarging Tumor Dormant State Based on Design Equilibrium State by Lyapunov Stability Theorem

Sara Haghighatnia, ArashPourhashemi and Reihaneh Kardehi Moghaddam
Corresponding Author:  Sara Haghighatnia 

Key words:  Dormant state, enlarging domain of attraction, equilibrium point, lyapunov stability theorem, optimization control, tumor,
Vol. 6 , (15): 2818-2823
Submitted Accepted Published
January 22, 2013 March 02, 2013 August 20, 2013
Abstract:

In this study, a novel method is proposed in which designs equilibrium point of tumor model in order to decrease the density of tumor cells as well as makes the possibility of controlling desirable clinical situation to improve desirable clinical conditions by enlarging tumor dormant state. The tumor dormancy means that all tumor cells are in cell-cycle arrest or a dynamic equilibrium state in which cells proliferation are in balance with cells undergoing apoptosis and the tumor growth is blocked. Therefore, this equilibrium represents a desirable clinical condition. If the trajectories of the describing dynamic systems belong to a specific region denoted by domain of attraction, then the convergence of system to the healthy steady state is guaranteed for this equilibrium point, the domain of attraction is a set of desired clinical conditions. This problem is indicated in form of the two layer global multi objective function optimization.
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  Cite this Reference:
Sara Haghighatnia, ArashPourhashemi and Reihaneh Kardehi Moghaddam, 2013. Improving Clinical Conditions by Enlarging Tumor Dormant State Based on Design Equilibrium State by Lyapunov Stability Theorem.  Research Journal of Applied Sciences, Engineering and Technology, 6(15): 2818-2823.
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ISSN (Online):  2040-7467
ISSN (Print):   2040-7459
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