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Computer Research and Modeling, 2013, Volume 5, Issue 4, Pages 749–765 (Mi crm432)  

ANALYSIS AND MODELING OF COMPLEX LIVING SYSTEMS

The task of search viable therapy strategy for a mathematical spatial cancer model

S. Yu. Kovalenkoa, A. S. Bratus'b

a Federal Science and Clinical Center of the Federal Medical and Biological Agency, 28 Orehovuy boulevard, Moscow, 115682, Russia
b Moscow State University, Leninskie goru 1/526, Moscow, 119991, Russia

Abstract: This paper is devoted to the analysis of the partial mathematical model describing the process of growth and spread of malignant and normal cells under the influence of chemotherapy. We found the periodic therapy regime, conditions the existence of this regime and suggest the search algorithm of this regime. This paper also includes the examples of simulation and the set of parameter values.

Keywords: viable task, glioma, periodic therapy regime.

DOI: https://doi.org/10.20537/2076-7633-2013-5-4-749-765

Full text: PDF file (447 kB)
Full text: http://crm.ics.org.ru/.../2080
References: PDF file   HTML file

UDC: 519.8
Received: 15.09.2013
Revised: 24.10.2013

Citation: S. Yu. Kovalenko, A. S. Bratus', “The task of search viable therapy strategy for a mathematical spatial cancer model”, Computer Research and Modeling, 5:4 (2013), 749–765

Citation in format AMSBIB
\Bibitem{KovBra13}
\by S.~Yu.~Kovalenko, A.~S.~Bratus'
\paper The task of search viable therapy strategy for a mathematical spatial cancer model
\jour Computer Research and Modeling
\yr 2013
\vol 5
\issue 4
\pages 749--765
\mathnet{http://mi.mathnet.ru/crm432}
\crossref{https://doi.org/10.20537/2076-7633-2013-5-4-749-765}


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