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Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1. Mathematica. Physica, 2016, Issue 5(36), Pages 73–84 (Mi vvgum132)  

This article is cited in 3 scientific papers (total in 3 papers)

Mathematics

Mathematical modeling of radiation fields in biological tissues: the definition of the brightness temperature for the diagnosis

M. V. Polyakov, A. V. Khoperskov

Volgograd State University

Abstract: The article contains the results of modeling of temperature fields and radiation fields in biological tissues. Experiments aimed at improving the efficiency of medical diagnosis of cancer.
Diagnosis is made by microwave radiometry. The antenna is located at various points in the measurement. Joint integration of unsteady heat transfer equations and the Maxwell equation is the basis of the model. Our computer models take into account a realistic geometric structure of the breast. The mammary gland consists of lobules, outlet streams, adipose tissue blood flow. Each biological tissue is characterized different values of the physical parameters. The temperature calculated in the time of adaptation modeling object to the external environment. The time for establishing a quasi-stationary temperature field is equal to 30 minutes. Time depends weakly on the internal structure of healthy tissue.
This work aims to study the features of the dynamics of the temperature inside the breast on the basis of computational experiments simulating the temperature measurement process during medical diagnosis.
The temperature distribution in the biological tissue is formed by complex heat transfer processes in a highly inhomogeneous medium in the presence of heat sources associated with blood flow as a result of heat generation of physiological processes. The presence of malignant tumors leads to a substantial transfer of heat within the tissue restructuring.
The basis of microwave radiometry method is the measurement of the so-called brightness temperature using a special antenna that detects the electric field distribution in biological tissues. And the resulting temperature is the result of a certain averaging temperature in a certain volume. In this paper, the results of calculations of temperature discussed for the different volume values.

Keywords: numerical modeling, biological tissues, heat transfer, electromagnetic field, brightness temperature, mammary glands, diagnostics, oncology.

Funding Agency Grant Number
Russian Foundation for Basic Research 15-47-02642-_


DOI: https://doi.org/10.15688/jvolsu1.2016.5.7

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UDC: 51.76
BBK: 22.19

Citation: M. V. Polyakov, A. V. Khoperskov, “Mathematical modeling of radiation fields in biological tissues: the definition of the brightness temperature for the diagnosis”, Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1. Mathematica. Physica, 2016, no. 5(36), 73–84

Citation in format AMSBIB
\Bibitem{PolKho16}
\by M.~V.~Polyakov, A.~V.~Khoperskov
\paper Mathematical modeling of radiation fields in biological tissues: the definition of the brightness temperature for the diagnosis
\jour Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1. Mathematica. Physica
\yr 2016
\issue 5(36)
\pages 73--84
\mathnet{http://mi.mathnet.ru/vvgum132}
\crossref{https://doi.org/10.15688/jvolsu1.2016.5.7}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. 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  mathnet  crossref  mathscinet  elib
    2. A. G. Losev, V. V. Levshinskii, “Intellektualnyi analiz dannykh mikrovolnovoi radiotermometrii v diagnostike raka molochnoi zhelezy”, Matematicheskaya fizika i kompyuternoe modelirovanie, 20:5 (2017), 49–62  mathnet  crossref
    3. E. A. Mazepa, O. V. Grishina, V. V. Levshinskii, Kh. M. Suleimanova, “Ob unifikatsii metoda analiza dannykh mikrovolnovoi radiotermometrii”, Matematicheskaya fizika i kompyuternoe modelirovanie, 20:6 (2017), 38–50  mathnet  crossref
  • Mathematical Physics and Computer Simulation
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