Chiang Mai Journal of Science

Print ISSN: 0125-2526 | eISSN : 2465-3845

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Spherical Simulation of Temperature Profiles in Tumour Tissue and its Peripherals During Targeted Hyperthermia

Aijaz Mir, Ibrahim M. Almanjahie and Javid Gani Dar
* Author for corresponding; e-mail address: imalmanjahi@kku.edu.sa
Volume: Vol.48 No.4 (July 2021)
Research Article
DOI:
Received: 25 August 2020, Revised: 19 October 2020, Accepted: 13 November 2020, Published: -

Citation: Mir A., Almanjahie I.M. and Dar J.G., Spherical Simulation of Temperature Profiles in Tumour Tissue and its Peripherals During Targeted Hyperthermia, Chiang Mai Journal of Science, 2021; 48(4): 1149-1160.

Abstract

Hyperthermia is one of the frequently used techniques to treat a tumour. The other methods and protocols used for the purpose are radiology, chemotherapy and surgical removal of the tumour. In this paper, a mathematical derivation and rumination of temperature distribution in spherical tumour and its peripherals during hyperthermia have been studied. Due to the spherical nature of the domain, a model based on the three-dimensional spherical bioheat equation has been formulated and solved by a variable separable method. The relevant parameters having a significant role in temperature distribution during hyperthermia are incorporated into the model. To compensate for the leanness in hyperthermic treatment technology both the possibilities of boundary conditions, one with fixed boundary conditions and other with an open boundary at the tumour surface have been explored. The resultant outputs were pictured in graphs.

Keywords: hyperthermia, radiology, chemotherapy, diffusion equation, variable separable method

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