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This article is cited in 7 scientific papers (total in 7 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
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.
Received: 30.07.2019 Revised: 01.06.2020 Accepted: 05.06.2020
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
Linking options:
https://www.mathnet.ru/eng/os320 https://www.mathnet.ru/eng/os/v128/i9/p1396
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