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JOURNALS // Matematicheskaya Biologiya i Bioinformatika // Archive

Mat. Biolog. Bioinform., 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

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.

UDC: 519.8

Received 02.12.2013, Published 29.01.2014



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