International Journal of Modern Mathematical Sciences
ISSN: 2166-286X (online)Search Article(s) by:
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Current Issue: Vol. 13 No. 4or Keyword in Title:
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Table of Content for Vol. 13 No. 4, 2015

Three Dimensional Finite Difference Model to Study Thermal Disturbances in Peripheral Region of Human Limbs Immediately after Physical Exercise in Cold Climate
Babita Kumari, Neeru Adlakha
 PP. 352 - 365
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ABSTRACT: The physical activity causes substantial increase in metabolic heat generation and blood flow which can lead to thermal disturbances in human body organs. Such thermal disturbances can pose threat to the thermoregulation system of human body which is responsible for maintaining the structure and functions of the human body. The thermoregulatory responses in human organs due to physical activity are not well understood. In this paper a three dimensional finite difference model is proposed to study thermal disturbances in peripheral regions of human limbs immediately after physical exercise under cold climatic conditions. The human limb is assumed to be of cylindrical shape. The peripheral region of the limb is divided into three natural components namely epidermis, dermis and subdermal tissues. Appropriate boundary conditions have been framed based on physical conditions of the problem. It is assumed that human subject is doing exercise initially and stops physical exercise and comes to rest. The Finite Difference Method is employed for both time and spatial variables. The numerical results have been used to obtain temperature profiles in peripheral regions of human limbs immediately after physical exercise. These results have been used to analyse the thermal disturbances in peripheral regions of a human limb immediately after physical exercise at low atmospheric temperature. The information generated from the model can be useful to biomedical scientists for developing protocols for physical exercise and rest to protect sportsmen, military person and labour intensive workers from heat injury and other disorders caused due to physical exertion.

A New Three Parameter Consul Kumaraswamy Distribution with Application
Adil Rashid and T. R. Jan
 PP. 366 - 376
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ABSTRACT: In the present paper we construct a new three parameter distribution which is obtained by compounding a Consul distribution with Kumaraswamy distribution. The new distribution so obtained is known as Consul Kumaraswamy distribution (CKSD) which can be nested to different compound distributions. Furthermore, some mathematical properties such as factorial moments, mean, variance and coefficient of variation of some compound distributions have also been discussed. The estimation of parameters of the proposed distribution has been obtained via maximum likelihood estimation method. Finally the potentiality of proposed distribution is justified by using it to model the real life data set.