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MATHEMATICAL STUDY OF DIFFUSIVE FLUID TRANSPORT AND DISTRIBUTION IN HUMAN DERMAL REGIONS
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作者 m. a. khanday V. P. Saxena 《Analysis in Theory and Applications》 2010年第4期350-358,共9页
This paper deals with mathematical study of diffusive fluid transport and distri- bution in human dermal parts. It accounts the intracellular fluid which continuously flows through the skin shells in order to maintain... This paper deals with mathematical study of diffusive fluid transport and distri- bution in human dermal parts. It accounts the intracellular fluid which continuously flows through the skin shells in order to maintain fluid balance within the body. A mathematical model is envisaged for this process and the finite element method (FEM) is employed to calculate the concentration of the fluid at different skin layers. This estimation is analyzed in relation with other parameters of the tissue medium and the atmosphere. 展开更多
关键词 human body response fluid concentration skin layers mathematical model
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Mathematical and numerical analysis of thermal distribution in cancerous tissues under the local heat therapy 被引量:1
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作者 m. a. khanday Khalid Nazir 《International Journal of Biomathematics》 2017年第7期157-166,共10页
The main purpose of this study is to investigate the thermal behavior of living tissues in the presence of spatial external heat source. An effort has been made to formulate the mathematical model to study the tempera... The main purpose of this study is to investigate the thermal behavior of living tissues in the presence of spatial external heat source. An effort has been made to formulate the mathematical model to study the temperature distribution in in vivo tissues of the human body. The mathematical formulation is governed by bio-heat equation together with appropriate initial, boundary and interface conditions. The solution of the model was carried out using variational finite element method and computational simulations. The model describes the exchange of heat between the internal biological tissues and other surrounding media. The effect of external heat source under different conditions of atmospheric temperature and as a local hyperthermic method provides an impor- tant information to the temperature regulation in biological tissues under normal and malignant conditions. Thermal fluctuations at the targeted regions were obtained with respect to various time-dependent heating sources and scattering coefficients. The results obtained may be helpful for clinical purposes especially in the treatment of cancerous tumors through radiotherapy and other local hyperthermic approaches. 展开更多
关键词 Variational finite element method Pennes' bio-heat equation local hyper-thermia tumor cells.
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Thermal stability of biological tissues and their behavior in cold conditions: A mathematical model 被引量:1
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作者 m. a. khanday Fida Hussaint 《International Journal of Biomathematics》 2016年第5期25-36,共12页
This paper presents an application of finite element method to study the thermoreg- ulatory behavior of three layers of human dermal parts with varying properties. The investigation of temperature distributions in epi... This paper presents an application of finite element method to study the thermoreg- ulatory behavior of three layers of human dermal parts with varying properties. The investigation of temperature distributions in epidermis, dermis and subcutaneous tissue together with Crank-Nicholson scheme at various atmospheric conditions was carried out. The finite element method has been applied to obtain the numerical solution of gov- erning differential equation for one-dimensional unsteady state bioheat equation using suitable values of parameters that affect the heat transfer in human body. The outer skin is assumed to be exposed to cold atmospheric temperatures and the loss of heat due to convection, radiation and evaporation has been taken into consideration. The important parameters like blood mass flow rate, metabolic heat generation rate and thermal conductivity are taken heterogeneous in each layer according to their distinct physiological and biochemical activities. The temperature profiles at various nodal points of the skin and in vivo tissues have been calculated with respect to the severe cold ambient temperatures. The conditions under which hypothermia, non-freezing and freezing injuries develop were illustrated in the graphs. 展开更多
关键词 Finite element method bioheat equation Cran^Nicholson method
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Variational finite element approach to study the thermal stress in multi-layered human head
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作者 mir aijaz m. a. khanday aasma Rafiq 《International Journal of Biomathematics》 2014年第6期239-251,共13页
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... 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. 展开更多
关键词 THERMOREGULATION human head bio-heat equation variational finite elementmethod thermal stress.
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