Mathematical Analysis of Bioheat Equation for the Study of Thermal Stress on Human Brain

Aijaz, Mir; Dar, Javid Gani

doi:10.18576/amisl/050106

Cited by 7 publications

(5 citation statements)

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“…Due to inhomogeneous and irregular geometrical structure of human skin, it will be appropriate to solve the model by finite element method as illustrated by Makrariya and Adlakha [19] , and Mir Aijaz et al [20] , [21] , [22] , [23] . The variational integral corresponding to partial differential Eq.…”

Section: Methodsmentioning

confidence: 99%

Mathematical estimation of fluid concentration in human skin during water immersion

Aijaz¹,

Almanjahie

Dar

2021

Journal of Advanced Research

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Section: Methodsmentioning

confidence: 99%

Mathematical estimation of fluid concentration in human skin during water immersion

Aijaz¹,

Almanjahie

Dar

2021

Journal of Advanced Research

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“…Different numerical methods were used in almost all of these studies. These methods, which are frequently used in the literature, some of them can be listed as follows: Finite element methods (FEM), finite difference methods (FDM) and Monte Carlo method [29][30][31][32][33][34][35][36].…”

Section: General Form Of Bio Heat Transfer Equation (Bhte)mentioning

confidence: 99%

Elektromanyetik Alana Maruz Kalmış Kas Dokusunun Termal Analizi

SORGUCU

2023

DEUFMD

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The interaction between electromagnetic fields and biological masses is increasing day by day. There are thousands of studies in the literature on this interaction. Until now, most of the studies on bio heat transfer have focused on damage caused by electromagnetic fields. However, the therapeutic side of electromagnetic fields has been neglected. This study aimed to bring a new perspective. Using the bio heat transfer equation, the temperature effect of different parameters due to the electromagnetic field was investigated. In the present study, the analytical solution of Pennes' bioheat transfer equation was evaluated together with real muscle tissue parameters. By trying different parameter variations, the effect of parameters such as perfusion constant and thermal conductivity coefficient on tissue warming was observed. In the light of this study, device designs for magnetic heating processes applied in physiotherapy will be possible. After entering the tissue parameters and electromagnetic field values, it was possible to find out what kind of temperature change can be observed as a result of the formulation obtained in this study. The effects of thermal conductivity coefficient, blood perfusion value and heat transfer coefficient on temperature distribution were graphically analyzed. Effect of randomly selected thermal parameters are evaluated within the study. This study has shown to what extent the increasing thermal parameters of the tissue will be affected by the electromagnetic field.

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“…en, by using the value of h ′ in Equation 7, we calculate the value of T sf . To estimate the temperature profiles of epidermis, dermis, and subcutaneous tissue, we have to neglect the heat transfer through radiation and incorporate role of the metabolic heat generation, and therefore it becomes imperative to use Pennes' bioheat equation [7] which is most appropriate as discussed by Myers [10] and Aijaz and Javid [11]. e governing equation, earlier used by Perl [12], for the heat flow in human tissue is given by…”

Section: Solution Of the Model And Numerical Computationmentioning

confidence: 99%

Energy Balance Approach to Study the Role of Perspiration in Heat Distribution of Human Skin

Aijaz¹,

Almanjahie

Dar

2020

Computational and Mathematical Methods in Medicine

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This paper develops a model to identify the role of perspiration in temperature distribution of human skin. The model has been solved by using the energy balance equation on the surface of human skin. The role played by thermal conductance, convection, and heat radiation during heat transfer in human skin has been considered, and the relevant laws such as Fourier law for conduction, Newton’s Law for convection, and Stefan–Boltzmann’s law for radiation have been used in the model. Pennes’ bioheat equation has been employed to estimate the heat flow in the dermal region of skin including subcutaneous tissue.

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Mathematical Analysis of Bioheat Equation for the Study of Thermal Stress on Human Brain

Cited by 7 publications

References 0 publications

Mathematical estimation of fluid concentration in human skin during water immersion

Mathematical estimation of fluid concentration in human skin during water immersion

Elektromanyetik Alana Maruz Kalmış Kas Dokusunun Termal Analizi

Energy Balance Approach to Study the Role of Perspiration in Heat Distribution of Human Skin

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