Khalid Nazir, Mukhtar A. Khanday, Bashir A. Ganai
Abstract:
To predict the thermal fluctuations of a finite biological tissue in presence
of tumor, an attempt has been made to formulate a 2D mathematical model based
on the cross sectional temperature distribution in the tissues of the human
limbs and variational finite element approach has been employed to establish
the solution of the model. It is assumed that the dermal region of the human
body is hosting tumor/cancerous cells. Thermal distribution at the tumor
region with respect to different input parameters has been computed
using MATLAB software. The physiological and bio-physical parameters
like metabolic heat generation, blood mass flow rate and thermal conductivity
are assumed to vary in the sub regions independently. The model describes
the exchange of heat between the internal biological tissues and other
surrounding media. Thermal fluctuations at the targeted regions were
obtained with respect to various power densities of the heating sources.
The results obtained may be helpful for various cases of practical interest
especially in the treatment of cancerous tumors and in local hyperthermic
therapies.
Published November 15, 2017.
Math Subject Classifications: 92B05, 92C10, 92C42.
Key Words: Thermoregulation; mathematical model; dermal tumor.
Show me the PDF file (295 K), TEX file for this article.
 |
Khalid Nazir Department of Mathematics University of Kashmir Srinagar, Jammu and Kashmir, 190006, India email: khldnzr99@gmail.com |
|---|---|
 |
Mukhtar A. Khanday Department of Mathematics University of Kashmir Srinagar, Jammu and Kashmir, 190006, India email: khanday@gmail.com |
 |
Bashir A. Ganai CORD, University of Kashmir Srinagar, Jammu and Kashmir, 190006, India email: bbcganai@gmail.com |
Return to the table of contents
for this conference.
Return to the EJDE web page