Variational finite element approach to study the thermal stress in multi-layered human head

作     者：Mir Aijaz M. A. Khanday Aasma Rafiq 

作者机构：Department of Mathematics University of Kashmir Srinagar 190006 JGK India khanday@graail. com 

出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)

年 卷 期：2014年第7卷第6期

页      面：239-251页

核心收录：

学科分类：080904[工学-电磁场与微波技术] 0810[工学-信息与通信工程] 07[理学] 0809[工学-电子科学与技术（可授工学、理学学位）] 08[工学] 080402[工学-测试计量技术及仪器] 0804[工学-仪器科学与技术] 070102[理学-计算数学] 081001[工学-通信与信息系统] 0701[理学-数学] 

基　　金：Council of Scientific and Industrial Research  India  CSIR 

主　　题：Thermoregulation human head bio-heat equation variational finite elementmethod thermal stress. 

摘      要：The human head is one of the most sensitive parts of human body due to the fact that it contains brain. Any abnormality in the functioning of brain may disturb the entire system. One of the disturbing factors of brain is thermal stress. Thus, it is imperative to study the effects of thermal stress on human head at various environmental conditions. For the thermoregulation process, the human head is considered to be a structure of four layers viz.; brain, cerebrospinal fluid （CSF）, skull and scalp. A mathematical model has been formulated to estimate the variation of temperature at these layers. The model is based on radial form of bio-heat equation with the appropriate boundary conditions and has been solved by variational finite element method. The rate of metabolic heat gen- eration and thermal conductivity in this study have been assumed to be heterogeneous. The results were compared with the experimental studies for their coincidence and it has been observed theoretically and experimentally that the human head has greater resistance to compete with the thermal stress up to large extent.