Journal of Engineering Physics and Thermophysics is a translation of Inzhenerno-fizicheskii Zhurnal,
a publication of the Academic Scientific Complex "A. V. Luikov Heat and Mass Transfer Institute"
of the National Academy of Sciences of Belarus
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STATEMENT OF THE PROBLEM OF OPTIMIZATION AND CONTROL 
OF TISSUE TEMPERATURE DISTRIBUTION IN LOCAL HYPERTHERMIA 
OF MALIGNANT TUMORS 

V. G. Litvinov, A. D. Panteleev, V. L. Sigal, 
Z. P. Shul'man, and T. E. Shumakova

UDC 517.946:612.57

We consider a model of thermal processes in treatment by 
local hyperthermia. The model is based on the classical nonlinear 
biothermal equation. We formulated a problem of optimization consisting 
of maximization of the mortality function of tumor cells and finding 
a control for which the temperature distribution in the tumor maximizes 
the therapeutic effect, while the injury function of healthy tissue 
is small.

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