Angiogenic inhibition of tumor growth using modern robust control methods

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Supervisor:
Dr. Harmati István
Department of Control Engineering and Information Technology

In the last decades, the aims of cancer research were minimizing the side effects of the treatment and making tumor regression faster, thus providing better alternatives to the

conventional therapies, such as chemotherapy and radiation therapy. This work provides a brief overview of the conventional and recently developed cancer treatment methods.

Among targeted therapies, anti-angiogenic therapy is one of the most promising treatments, first it normalizes the vascular network in tumors, then destroys it. The dynamical model for

tumor growth under angiogenic stimulator/inhibitor control was posed by Philip Hahnfeldt et al., it was investigated and partly modified many times. In this work, a simplified second

order model is implemented to design a linear, robust controller for the optimal drug (endostatin) injection. The H∞ and the μ-synthesis methods are introduced. These robust

controls are able to maintain stability and performance level in spite of uncertainties and nonlinearities in system dynamics. A sensitivity analysis is carried out to estimate the

uncertainty of the model. Both controls are implemented considering physiological and control theoretical reasons. The robust H∞ - and μ-controllers and the behavior of the

closed loop system are analysed in frequency and time domain.

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