Research Article | OPEN ACCESS
Improving Clinical Conditions by Enlarging Tumor Dormant State Based on Design Equilibrium State by Lyapunov Stability Theorem
1Sara Haghighatnia, 2ArashPourhashemi and 1Reihaneh Kardehi Moghaddam
1Department of Electrical Engineering
2Department of Medical Engineering, Mashhad Branch, Islamic Azad University, Mashhad, Iran
Research Journal of Applied Sciences, Engineering and Technology 2013 15:2818-2823
Received: January 22, 2013 | Accepted: March 02, 2013 | Published: 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.
Keywords:
Dormant state, enlarging domain of attraction, equilibrium point, lyapunov stability theorem, optimization control, tumor,
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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