Model-based Angiogenic Inhibition of Tumor Growth using Modern Robust Control Method

Szeles, Annamária and Sápi, Johanna and Drexler, Dániel András and Harmati, István and Sápi, Zoltán and Kovács, Levente (2012) Model-based Angiogenic Inhibition of Tumor Growth using Modern Robust Control Method. In: Proceedings of 8th IFAC Symposium on Biological and Medical Systems. Curran, New York, pp. 113-118. ISBN 9781622763719; 978-3-902823-10-6

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Abstract

Cancer is one of the most destructive and lethal illnesses of the modern civilization. In the last decades, clinical cancer research shifted towards molecular targeted therapies which have limited side e�ects in comparison to conventional chemotherapy and radiation therapy. Anti-angiogenic therapy is one of the most promising cancer treatment methods. The dynamical model for tumor growth under angiogenic stimulator/inhibitor control was posed by Hahnfeldt et al. (1999), and it was investigated and partly modi�ed many times. In this paper, a modi�ed version of the originally published model is used in order to describe a continuous infusion therapy. To generalize individualized therapies a robust control method is proposed using H 1 methodology. Uncertainty weighting functions are determined based on the real pathophysiological case and simulations are performed on di�erent tumor volumes to demonstrate the robustness of the proposed method.

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