Mamta Agrawal

Mamta Agrawal
Maulana Azad National Institute of Technology, Bhopal | MANIT · Department of Mathematics

PhD Mathematics

About

8
Publications
741
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78
Citations
Introduction
Computational Models to Study Temperature Distribution in Invivo Tissues of Extended Cylindrical Human Organs Involving Malignant Tumors
Additional affiliations
July 2007 - present
Maulana Azad National Institute of Technology, Bhopal
Position
  • Principal Investigator & Scientist
Description
  • I have joined MANIT in Jul 2007 as a contractual Asst. Prof. in the Dept. of Mathematics. I was registered for Ph.D on Aug. 2008 and awarded on Jan. 2012. From 2013 to present, I am PI & Scientist in the Dept. of Mathematics MANIT, Bhopal.

Publications

Publications (8)
Article
The present study deals with the temperature variation in dermal layers of irregular tapered shaped human limb involving metastasis of tumors. Two uniformly perfused tumors are assumed to be present at different axial and angular positions of the dermal regions of the human limb. The model incorporates the effect of blood mass flow rate, metabolic...
Article
The investigators in the past have developed some models of temperature distribution in the human limb assuming it as a regular circular or elliptical tapered cylinder. But in reality the limb is not of regular tapered cylindrical shape. The radius and eccentricity is not same throughout the limb. In view of above a model of temperature distributio...
Article
In this paper a three-dimensional steady state model has been developed to study heat flow in dermal regions of tapered shape human limbs, which are elliptical in shape. The model incorporates the important biophysical parameters like blood mass flow rate, thermal conductivity and rate of metabolic heat generation. Appropriate boundary conditions h...
Article
Full-text available
The present paper deals with the two dimensional model of thermal distribution in dermal layers of elliptical shaped human limbs involving two uniformly perfused tumor. Here the tumor is characterized by uncontrolled rates of metabolic heat generation. The normal tissues are characterized by self controlled metabolic heat generation. It is assumed...
Article
Full-text available
A number of attempts have been made to study heat flow in cir-cular cross-section of human limbs. But almost no attempt has been reported in literature about study of heat flow in the tissue layers of ellip-tical shaped human limbs. Therefore, a seminumerical model has been developed to study heat flow in peripheral layers of three-dimensional elli...
Article
Full-text available
The present paper deals with the two dimensional model of thermal distribution problem in dermal layers of elliptical shaped human limbs involving a uniformly perfused tumor. The human limbs are non homogeneous and composite in nature. The structure of the region has been taken into account by dividing the dermal region of the human limb into five...
Article
Full-text available
The present paper deals with the thermal effect model of temperature distribution in dermal layers of elliptical shaped human limbs involving two uniformly perfused tumor in dermis layer. Here the tumor is characterized by uncontrolled rates of metabolic heat generation. The normal tissues are characterized by self controlled metabolic heat generat...

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