Multiobjective optimal control of HIV dynamics.
Zarei, Hassan, Kamyad, Ali Vahidian, Effati, Sohrab (2010)
Mathematical Problems in Engineering
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Zarei, Hassan, Kamyad, Ali Vahidian, Effati, Sohrab (2010)
Mathematical Problems in Engineering
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Zarei, H., Kamyad, A.V., Farahi, M.H. (2011)
Computational & Mathematical Methods in Medicine
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Lee, W.R., Wang, S., Teo, K.L. (1999)
Mathematical Problems in Engineering
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Smieja, Jaroslaw, Swierniak, Andrzej, Duda, Zdzislaw (2000)
Journal of Theoretical Medicine
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Ledzewicz, Urszula (1993)
Journal of Applied Mathematics and Stochastic Analysis
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Rozonoer, L.I. (1999)
Mathematical Problems in Engineering
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Urszula Ledzewicz, Vignon Oussa, Heinz Schättler (2009)
Applicationes Mathematicae
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The scheduling of angiogenic inhibitors to control a vascularized tumor is analyzed as an optimal control problem for a mathematical model that was developed and biologically validated by Hahnfeldt et al. [Cancer Res. 59 (1999)]. Two formulations of the problem are considered. In the first one the primary tumor volume is minimized for a given amount of angiogenic inhibitors to be administered, while a balance between tumor reduction and the total amount of angiogenic inhibitors given...
Urszula Ledzewicz, Mohammad Naghnaeian, Heinz Schättler (2011)
Applicationes Mathematicae
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Mathematical models for cancer treatment that include immunological activity are considered as an optimal control problem with an objective that is motivated by a separatrix of the uncontrolled system. For various growth models on the cancer cells the existence and optimality of singular controls is investigated. For a Gompertzian growth function a synthesis of controls that move the state into the region of attraction of a benign equilibrium point is developed.