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 generation. It is assumed that first there was only one tumor in the dermis but after sometime another tumor has developed at other position in the limb due to metastasis. The structure of the region has been taken into account by dividing the dermal region of the human limb into five layers. The outermost layer is the epidermis. Below the epidermis are the three layers of dermis followed by a layer of subermal tissues. The innermost solid cylinder is the limb core. Hexahedral elements have been used to discretize the whole region. Appropriate boundary conditions have been framed using the physical conditions. The seminumerical method has been used to obtain the temperature profiles.

1. Patterson A.M., Measurement of temperature profiles in human skin, S.Afr.J.Sc. 1976; 72: 78-79. Chao K.N., Eisley J.G. and Yang W.J., Heat and water migration in regional skins and subcutaneous tissues, Bio.Mech. Symp, ASME,1973; 69-72. Chao K.N. and Yang W.J., Response of skin and tissue temperature in sauna and steam baths, Bio.Mech. Symp, ASME, 1975; 69-71. Cooper T.E., and Trezek G.J., A probe technique for determining the thermal conductivity of tissue J.Heat Trans., ASME, 94:1972; 133-140. Saxena V.P., Temperature distribution in human skin and subdermal tissues, J. Theo. Biol., 1983; 102: 277-286. Saxena V.P. and Gupta M.P., Steady state heat migration in radial and angular direction of human limbs, Ind. J. Pure. Appl. Math. 1991; 22 (8): 657-668. Sadakata Mieko and Yamada Yoshiaki, Perception of foot temperature in young women with cold constitution: Analysis of skin temperature and warm and cold sensation thresholds, J.Physiological Anthropology, 2007; 26: 449-457. Gurung

Heat transfer Calculus of variations Blood mass flow rate Metabolic activity Malignant tissues Fourier series Finite element method