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Mathematical Model to Study the Bio-Heat Distribution in Reference to Spherical Tumour to Quantify the Necrotic Core Temperature

Katiyar, V K and Basavarajappa, K S and Onkarappa, K S and Manjunatha, G and Naik, S S (2009) Mathematical Model to Study the Bio-Heat Distribution in Reference to Spherical Tumour to Quantify the Necrotic Core Temperature. Indian Journal of Biomechanics: Special Issue .

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Abstract

Bio-heat transfer distributions in spherical regions through the skin and superficial tissues have been presented. Epidermis, dermis and sub dermal are the three layers considered to characterize the thermal effects. The spherical tumor with rise of temperature 0.275o in its location makes the vasodilatation active and predominates the specific circumference of the tumour. This abnormality is observed due to the increase of blood flow (3 ml/min) in the surrounding arteries, which results in the increase of metabolic heat production in the vicinity of the tumour. Temperature difference at 0.1420 c to 0.5o c makes the metabolic heat rate elevation 0.251 Kg m-3 S-1 in the vicinity of the necrotic core of the tumour. The changes in the temperature will focus on the detection of malignant tumour and help in the improvement of the- raphatic aspects of thermograph. Bio-heat equation in spherical polar form is solved using series solution method. Numerical results are compared with experimental findings to explain the effect of increase in the metabolic heat rate in reference necrotic core temperature rise starting from 0.125710C. This shows the abnormality of linear distribution of among three layers epidermis, dermis and sub dermal (close to the necrotic core of the tumour). The surface temperature above a tumour may be estimated about 0.98720C higher than that above nearly normal tissue. This helps to detect the growth of tumour due to the elevated temperature in that particular region

Item Type: Article
Uncontrolled Keywords: bio heat, spherical tumour, metabolic heat
Subjects: Engineering > MIT Manipal > Mathematics
Depositing User: MIT Library
Date Deposited: 21 Oct 2013 06:45
Last Modified: 21 Oct 2013 06:45
URI: http://eprints.manipal.edu/id/eprint/137538

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