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Matematicheskaya Biologiya i Bioinformatika, 2014, Volume 9, Issue 1, Pages 20–32 (Mi mbb170)  

Mathematical Modeling

Up and Down Estimate of Therapy Quality in Non-Linear Distributed Mathematical Glioma Model

S. Yu. Kovalenkoa, A. S. Bratus'b

a Federal Science and Clinical Center of the Federal Medical and Biological Agency
b Moscow State University
References:
Abstract: We consider the distributed mathematical model for brain tumor growth dynamics. The task of search optimal strategy in terms of the specified optimal functional is very hard to analytical solving. We construct the analytical down-estimation for the functional and the up-estimation by using numerical methods. In case of both estimates pass not far from each other results could be useful for ill-prognosis and the selection of the convenient therapy strategy.
Key words: glioma, optimal task, estimation for optimal functional.
Received 02.12.2013, Published 29.01.2014
Document Type: Article
UDC: 519.8
Language: Russian
Citation: S. Yu. Kovalenko, A. S. Bratus', “Up and Down Estimate of Therapy Quality in Non-Linear Distributed Mathematical Glioma Model”, Mat. Biolog. Bioinform., 9:1 (2014), 20–32
Citation in format AMSBIB
\Bibitem{KovBra14}
\by S.~Yu.~Kovalenko, A.~S.~Bratus'
\paper Up and Down Estimate of Therapy Quality in Non-Linear Distributed Mathematical Glioma Model
\jour Mat. Biolog. Bioinform.
\yr 2014
\vol 9
\issue 1
\pages 20--32
\mathnet{http://mi.mathnet.ru/mbb170}
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