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University proceedings. Volga region. Physical and mathematical sciences, 2024, Issue 2, Pages 3–12
DOI: https://doi.org/10.21685/2072-3040-2024-2-1
(Mi ivpnz791)
 

This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

A solution of the inverse problem for the Havriliak - Negami model in detecting breast tumors using impedance spectroscopy

Yu. G. Smirnov, A. V. Kuzmin, V. A. Baranova

Penza State University, Penza
Full-text PDF (370 kB) Citations (1)
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Abstract: Background. The inverse problem of calculating coefficients in the Havriliak - Negami model is considered in order to determine the structure of an inhomogeneous dielectric object based on the determination of parameters and analysis of the frequency characteristics of the relative permittivity. Materials and methods. The method of calculating the coefficients in Havriliak - Negami model using three measurements of the complex permittivity at different frequencies is applied. Results and conclusions. A numerical method has been developed to determine the coefficients in Havriliak - Negami model, which is used in dielectric spectroscopy for the early detection of tumors in the mammary gland.
Keywords: heterogeneous dielectric structure, Havriliak – Negami model, impedance spectroscopy, inverse problem, breast tumor
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 124020200015-7
Document Type: Article
UDC: 537.226
Language: Russian
Citation: Yu. G. Smirnov, A. V. Kuzmin, V. A. Baranova, “A solution of the inverse problem for the Havriliak - Negami model in detecting breast tumors using impedance spectroscopy”, University proceedings. Volga region. Physical and mathematical sciences, 2024, no. 2, 3–12
Citation in format AMSBIB
\Bibitem{SmiKuzBar24}
\by Yu.~G.~Smirnov, A.~V.~Kuzmin, V.~A.~Baranova
\paper A solution of the inverse problem for the Havriliak - Negami model in detecting breast tumors using impedance spectroscopy
\jour University proceedings. Volga region. Physical and mathematical sciences
\yr 2024
\issue 2
\pages 3--12
\mathnet{http://mi.mathnet.ru/ivpnz791}
\crossref{https://doi.org/10.21685/2072-3040-2024-2-1}
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  • This publication is cited in the following 1 articles:
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