Vol: 57(71) No: 2 / June 2012        

Comparison of Path Tracking Flat Control and Working Point Linearization Based Set Point Control of Tumor Growth with Angiogenic Inhibition
Dániel András Drexler
Department of Control Engineering and Information Technology, Budapest University of Technology and Economics, Magyar tudósok krt. 2., 1117, Budapest, phone: (361) 463-4027, e-mail: drexler@iit.bme.hu
Johanna Sápi
Department of Control Engineering and Information Technology, Budapest University of Technology and Economics, Magyar tudósok krt. 2., 1117, Budapest, e-mail: sapi@iit.bme.hu
Annamária Szeles
Department of Control Engineering and Information Technology, Budapest University of Technology and Economics , Magyar tudósok krt. 2., 1117, Budapest, e-mail: szeles.annam@gmail.com
István Harmati
Department of Control Engineering and Information Technology, Budapest University of Technology and Economics , Magyar tudósok krt. 2., 1117, Budapest, e-mail: harmati@iit.bme.hu
Levente Kovács
Budapest University of Technology and Economics, and John von Neumann Faculty of Information Technology, Óbuda University , Magyar tudósok krt. 2., 1117, Budapest, and Bécsi út 96/b, H-1034 Budapest, e-mail: lkovacs@iit.bme.hu


Keywords: flat control, exact linearization, path tracking control, tumor growth control, angiogenic inhibition

Abstract
Targeted molecular therapies (TMT) represent new perspectives in cancer treatment, fighting against the specific characteristic of the investigated tumor. Antiangiogenic therapy represents a specific TMT and its role is to stop the angiogenesis of the tumor, the process of forming new blood vessels; hence, to stop tumor growth. Proper control algorithms for tumor growth control with angiogenic inhibition are analyzed in the current article in order to find optimal therapeutic protocols. Two slightly different approaches are compared: nonlinear control by exact linearization with path tracking control, and linear control by working point linearization with set point control. The control strategies are compared in terms of the characteristics of the input signal (the inhibitor, drug intake) that is crucial if the therapy will be put into practice.

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