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Journal of Computational and Engineering Mathematics, 2021, Volume 8, Issue 1, Pages 3–14
DOI: https://doi.org/10.14529/jcem210101
(Mi jcem182)
 

This article is cited in 11 scientific papers (total in 11 papers)

Engineering Mathematics

Mathematical models for analyzing and interpreting microwave radiometry data in medical diagnosis

V. V. Lеvshinskiy

Volgograd State University, Volgograd, Russian Federation
Abstract: The present paper is devoted to the improvement and application of mathematical models for the dynamic description of the patient state in the diagnosis of breast cancer and venous diseases based on microwave radiometry data. I present and describe in detail a modified approach for constructing interpretable features in thermometric data. A model evalutation is performed by constructing classification algorithms in the following feature spaces: temperature values, thermometric features, 2nd, 3rd and 4th degree polynomial features. Best algorithms have sensitivity value of 0.892 and specificity value of 0.813 in the mammary glands dataset and sensitivity value of 0.961 and specificity value of 0.925 in the lower extremities dataset. The algorithms built also provide an explanation of result in terms which are understandable for clinicians. The most important features in thermometric data are presented, as well as an example of explanation building.
Keywords: microwave radiometry, feature construction, mathematical modeling.
Funding agency Grant number
Russian Foundation for Basic Research 19-31-90153
The reported study was funded by RFBR, project number 19-31-90153.
Received: 27.02.2021
Document Type: Article
UDC: 004.89
Language: English
Citation: V. V. Lеvshinskiy, “Mathematical models for analyzing and interpreting microwave radiometry data in medical diagnosis”, J. Comp. Eng. Math., 8:1 (2021), 3–14
Citation in format AMSBIB
\Bibitem{Lеv21}
\by V.~V.~Lеvshinskiy
\paper Mathematical models for analyzing and interpreting microwave radiometry data in medical diagnosis
\jour J. Comp. Eng. Math.
\yr 2021
\vol 8
\issue 1
\pages 3--14
\mathnet{http://mi.mathnet.ru/jcem182}
\crossref{https://doi.org/10.14529/jcem210101}
Linking options:
  • https://www.mathnet.ru/eng/jcem182
  • https://www.mathnet.ru/eng/jcem/v8/i1/p3
  • This publication is cited in the following 11 articles:
    1. Andrei Naydenko, Ilya Germashev, Illarion Popov, Alexander Losev, Studies in Systems, Decision and Control, 554, Cyber-Physical Systems, 2024, 71  crossref
    2. O. A. Shevelev, M. V. Petrova, M. Yu. Yuriev, V. T. Dolgikh, E. M. Mengistu, M. A. Zhdanova, I. Z. Kostenkova, “Microwave Radiothermometry in Evaluating Brain Temperature Changes (Review)”, Obŝaâ reanimatologiâ, 19:1 (2023), 50  crossref
    3. Ilya Germashev, Victoria Dubovskaya, Alexander Losev, Studies in Systems, Decision and Control, 437, Society 5.0, 2023, 31  crossref
    4. Keerthy Gopalakrishnan, Aakriti Adhikari, Namratha Pallipamu, Mansunderbir Singh, Tasin Nusrat, Sunil Gaddam, Poulami Samaddar, Anjali Rajagopal, Akhila Sai Sree Cherukuri, Anmol Yadav, Shreya Sai Manga, Devanshi N. Damani, Suganti Shivaram, Shuvashis Dey, Sayan Roy, Dipankar Mitra, Shivaram P. Arunachalam, “Applications of Microwaves in Medicine Leveraging Artificial Intelligence: Future Perspectives”, Electronics, 12:5 (2023), 1101  crossref
    5. M. V. Polyakov, A. V. Khoperskov, S. V. Agasieva, I. O. Porokhov, “Assessment of the Spatial Resolution and Accuracy of Temperature Measurements in Radiothermometry of the Breast”, Biomed Eng, 57:3 (2023), 180  crossref
    6. Alexander V. Khoperskov, Maxim V. Polyakov, “Improving the Efficiency of Oncological Diagnosis of the Breast Based on the Combined Use of Simulation Modeling and Artificial Intelligence Algorithms”, Algorithms, 15:8 (2022), 292  crossref
    7. Alexander G. Losev, Andrey V. Svetlov, Smart Innovation, Systems and Technologies, 287, New Technology for Inclusive and Sustainable Growth, 2022, 175  crossref
    8. Ilya Germashev, Victoria Dubovskaya, Alexander Losev, Studies in Systems, Decision and Control, 416, Society 5.0: Human-Centered Society Challenges and Solutions, 2022, 3  crossref
    9. A. G. Losev, I. E. Popov, A. Yu. Petrenko, A. G. Gudkov, S. G. Vesnin, S. V. Chizhikov, “Some Methods for Substantiating Diagnostic Decisions Made Using Machine Learning Algorithms”, Biomed Eng, 55:6 (2022), 442  crossref
    10. Leonid Fisher, Olga Fisher, Dmitry Chebanov, Sergey Vesnin, Alexey Goltsov, Arran Turnbull, Mike Dixon, Indira Kudaibergenova, Batyr Osmonov, Sergey Karbainov, Larion Popov, Alexander Losev, Igor Goryanin, “Passive Microwave Radiometry and microRNA Detection for Breast Cancer Diagnostics”, Diagnostics, 13:1 (2022), 118  crossref
    11. Ilya Germashev, Victoria Dubovskaya, Alexander Losev, Illarion Popov, 2021 3rd International Conference on Control Systems, Mathematical Modeling, Automation and Energy Efficiency (SUMMA), 2021, 528  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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    Journal of Computational and Engineering Mathematics
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