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Journal of Computational and Engineering Mathematics, 2017, Volume 4, Issue 3, Pages 3–10
DOI: https://doi.org/10.14529/jcem170301 (Mi jcem94) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Engineering Mathematics

Simulation modeling of radiation field in biological tissue of mammary gland

M. V. Polyakov, A. V. Khoperskov, A. V. Svetlov

Volgograd State University, Volgograd, Russian Federation
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DOI: https://doi.org/10.14529/jcem170301
Abstract: In this paper we develop a mathematical model of the distribution of microwave electric field in heterogenous biological tissue of mammary gland. We use this model to investigate the efficiency of the medical diagnostic method based on microwave thermometry. Also we run a numerical modeling of electromagnetic field in biotissue of mammary gland for various sets of the spatial structure of biotissue. The small-scale structure is caused by a complex combination of several components: blood flows, fat tissue, muscle tissue, milk lobules, skin. Next we vary in the model the spatial structure of the tissue to evaluate the effect of the heterogeneous structure of the tissue on the distribution of the electromagnetic field in the volume of mammary gland.
Keywords: mathematical modeling, numerical methods, biological tissues, oncology, microwave radiothermometry, heat transfer, radiation fields.
Funding agency Grant number
Russian Foundation for Basic Research 15-47-02642 r_a
This work was supported by the Russian Foundation for Basic Research and the Administration of the Volgograd Region, project number 15-47-02642 r_a.
Received: 17.05.2017
Bibliographic databases:
Document Type: Article
UDC: 51.76
MSC: 74S20, 65Z05, 74A15
Language: English
Citation: M. V. Polyakov, A. V. Khoperskov, A. V. Svetlov, “Simulation modeling of radiation field in biological tissue of mammary gland”, J. Comp. Eng. Math., 4:3 (2017), 3–10
Citation in format AMSBIB
\Bibitem{PolKhoSve17}
\by M.~V.~Polyakov, A.~V.~Khoperskov, A.~V.~Svetlov
\paper Simulation modeling of radiation field in biological tissue of mammary gland
\jour J. Comp. Eng. Math.
\yr 2017
\vol 4
\issue 3
\pages 3--10
\mathnet{http://mi.mathnet.ru/jcem94}
\crossref{https://doi.org/10.14529/jcem170301}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3708699}
\elib{https://elibrary.ru/item.asp?id=30289922}
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    • This publication is cited in the following 2 articles:
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