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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2020, Volume 61, Issue 6, Pages 56–65
DOI: https://doi.org/10.15372/PMTF20200607 (Mi pmtf251) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Exact analysis for the temperature response in tumours for three-dimensional heat transfer during the therapeutic time

J. Duttaab, B. Kundua

a Jadavpur University, 700032, Kolkata, West Bengal, India
b MCKV Institute of Engineering, 711204, Howrah, West Bengal, India
Full-text PDF (1155 kB) First page Citations (2)
DOI: https://doi.org/10.15372/PMTF20200607
Abstract: This article addresses the formulation of an exact analytical solution of a three-dimensional dual-phase-lag bioheat model in relation to living tissues of human organs subjected to regional hyperthermia treatment. The solution methodology is employed as a finite integral transform in combination with a filtered approach. A renovated initial condition with appropriate boundary conditions is imposed in the present modelling. Isotherms in different cross sections of the physical domain are generated and discussed with different thermal and geometric variables for establishing the exact temperature field. The present research output is compared with the published experimental work. The results show the necessity of a 3D analysis for an accurate prediction of the temperature response in tumour cells.
Keywords: three-dimensional problem, analytical solution, bioheat, regional hyperthermia, dual-phase-lag.
Received: 19.12.2019
Revised: 17.03.2020
Accepted: 30.03.2020
English version:
Journal of Applied Mechanics and Technical Physics, 2020, Volume 61, Issue 6, Pages 955–963
DOI: https://doi.org/10.1134/S0021894420060073
Bibliographic databases:
Document Type: Article
UDC: 536.1, 612.5
Language: Russian
Citation: J. Dutta, B. Kundu, “Exact analysis for the temperature response in tumours for three-dimensional heat transfer during the therapeutic time”, Prikl. Mekh. Tekh. Fiz., 61:6 (2020), 56–65; J. Appl. Mech. Tech. Phys., 61:6 (2020), 955–963
Citation in format AMSBIB
\Bibitem{DutKun20}
\by J.~Dutta, B.~Kundu
\paper Exact analysis for the temperature response in tumours for three-dimensional heat transfer during the therapeutic time
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2020
\vol 61
\issue 6
\pages 56--65
\mathnet{http://mi.mathnet.ru/pmtf251}
\crossref{https://doi.org/10.15372/PMTF20200607}
\elib{https://elibrary.ru/item.asp?id=44510472}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2020
\vol 61
\issue 6
\pages 955--963
\crossref{https://doi.org/10.1134/S0021894420060073}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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