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Optics and Spectroscopy, 2020, Volume 128, Issue 9, Pages 1396–1404
DOI: https://doi.org/10.21883/OS.2020.09.49882.242-20 (Mi os320) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Biophotonics

Optimal control of endovenous laser ablation

A. E. Kovtanyukab, A. Yu. Chebotarevab, A. A. Astrakhantsevaa, A. A. Sushchenkoab

a Far Eastern Federal University, Vladivostok
b Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
Full-text PDF (310 kB) Citations (8)
DOI: https://doi.org/10.21883/OS.2020.09.49882.242-20
Abstract: On the base of an initial-boundary value problem for the model of radiation-conductive heat transfer, the thermal processes that occur during endovenous laser ablation are studied. An optimal control problem is posed, which consists in approximating the solution of the initial-boundary value problem to a given temperature profile at a certain point of the model domain. The source powers going on radiation and heating the carbonized tip of the optical fiber are taken as control. An iterative algorithm for solving the problem is proposed and numerically implemented.
Keywords: endovenous laser ablation, radiation transfer, conductive heat transfer, optimal control.
Funding agency Grant number
Russian Foundation for Basic Research 20-01-00113 (a)
This study was financially supported by the Russian Foundation for Basic Research within scientific project no. 20-01-00113 (a).
Received: 30.07.2019
Revised: 01.06.2020
Accepted: 05.06.2020
English version:
Optics and Spectroscopy, 2020, Volume 128, Issue 9, Pages 1508–1516
DOI: https://doi.org/10.1134/S0030400X20090131
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. E. Kovtanyuk, A. Yu. Chebotarev, A. A. Astrakhantseva, A. A. Sushchenko, “Optimal control of endovenous laser ablation”, Optics and Spectroscopy, 128:9 (2020), 1396–1404; Optics and Spectroscopy, 128:9 (2020), 1508–1516
Citation in format AMSBIB
\Bibitem{KovCheAst20}
\by A.~E.~Kovtanyuk, A.~Yu.~Chebotarev, A.~A.~Astrakhantseva, A.~A.~Sushchenko
\paper Optimal control of endovenous laser ablation
\jour Optics and Spectroscopy
\yr 2020
\vol 128
\issue 9
\pages 1396--1404
\mathnet{http://mi.mathnet.ru/os320}
\crossref{https://doi.org/10.21883/OS.2020.09.49882.242-20}
\elib{https://elibrary.ru/item.asp?id=44154106}
\transl
\jour Optics and Spectroscopy
\yr 2020
\vol 128
\issue 9
\pages 1508--1516
\crossref{https://doi.org/10.1134/S0030400X20090131}
Linking options:
  • https://www.mathnet.ru/eng/os320
  • https://www.mathnet.ru/eng/os/v128/i9/p1396
    • This publication is cited in the following 8 articles:
    1. Alexander Chebotarev, Ekaterina Mikolosyuk, Andrey Kovtanyuk, 2024 Days on Diffraction (DD), 2024, 1  crossref
    2. A. Yu. Chebotarev, N. M. Park, A. E. Kovtanyuk, “Analysis and numerical simulation of the initial-boundary value problem for quasilinear equations of complex heat transfer”, J. Appl. Industr. Math., 17:4 (2023), 698–709  mathnet  crossref  crossref
    3. A Yu Chebotarev, N M Park, P R Mesenev, A E Kovtanyuk, “Mathematical modeling of complex heat transfer in the context of the endovenous laser ablation”, J. Phys.: Conf. Ser., 2514:1 (2023), 012006  crossref
    4. Alexander Chebotarev, Pavel Mesenev, Andrey Kovtanyuk, 2023 Days on Diffraction (DD), 2023, 31  crossref
    5. A. Yu. Chebotarev, “Optimal control problems for complex heat transfer equations with Fresnel matching conditions”, Comput. Math. Math. Phys., 62:3 (2022), 372–381  mathnet  mathnet  crossref  crossref  isi  scopus
    6. Alexander Yu. Chebotarev, Andrey E. Kovtanyuk, “Quasi-static diffusion model of complex heat transfer with reflection and refraction conditions”, Journal of Mathematical Analysis and Applications, 507:1 (2022), 125745  crossref
    7. Andrey Kovtanyuk, Alexander Chebotarev, Alena Astrakhantseva, “Inverse extremum problem for a model of endovenous laser ablation”, Journal of Inverse and Ill-posed Problems, 29:3 (2021), 467  crossref
    8. Alexander Chebotarev, Andrey Kovtanyuk, Nikolai Park, Pavel Mesenev, 2021 Days on Diffraction (DD), 2021, 19  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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