Estimating Uncertain Parameters of a Two Compartment Model of Cancer via Homotopy Optimization Method
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Authors
Navid Khajehpour
- Department of Electrical Engineering, Mashhad Branch, Islamic Azad University, Mashhad, Iran..
Reihaneh K. Moghadam
- Department of Electrical Engineering, Mashhad Branch, Islamic Azad University, Mashhad, Iran..
Arash Pourhashemi Shahri
- Department of Biomedical Engineering, Mashhad Branch, Islamic Azad University, Mashhad, Iran..
Abstract
One of the restrictions for uncertain biological systems is that there are uncertain parameters which are not measurable with non-invasive instrument. A problem of interest is that proposing a method which estimates this parameter from measurable outputs of system. By declining homotopy parameter the initial problem which has the form of a high gain observer gradually transforms to a parameter estimation problem. With the gradual transform to the main problem provide the ability of finding the global value of uncertain parameter. This approach is applied for the model of cancer to illustrate the effectiveness of the homotopy method to achieve the best estimate for uncertain parameters by finding the minimum of a proposed optimization problem.
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ISRP Style
Navid Khajehpour, Reihaneh K. Moghadam, Arash Pourhashemi Shahri, Estimating Uncertain Parameters of a Two Compartment Model of Cancer via Homotopy Optimization Method, Journal of Mathematics and Computer Science, 7 (2013), no. 1, 13-22
AMA Style
Khajehpour Navid, K. Moghadam Reihaneh, Shahri Arash Pourhashemi, Estimating Uncertain Parameters of a Two Compartment Model of Cancer via Homotopy Optimization Method. J Math Comput SCI-JM. (2013); 7(1):13-22
Chicago/Turabian Style
Khajehpour, Navid, K. Moghadam, Reihaneh, Shahri, Arash Pourhashemi. "Estimating Uncertain Parameters of a Two Compartment Model of Cancer via Homotopy Optimization Method." Journal of Mathematics and Computer Science, 7, no. 1 (2013): 13-22
Keywords
- Homotopy optimization method
- Cancer system
- Parameter estimation
- Global minimization
MSC
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