Estimating Uncertain Parameters of a Two Compartment Model of Cancer via Homotopy Optimization Method

Volume 7, Issue 1, pp 13-22 http://dx.doi.org/10.22436/jmcs.07.01.02

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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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Keywords

• Homotopy optimization method
• Cancer system
• Parameter estimation
• Global minimization

MSC

•  92C50
•  90C26

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