Estimation of Heat Diffusion in Human Tissue at Adverse Temperatures Using the Cylindrical Form of Bioheat Equation

Javid Gani Dar, Mir Aijaz (), Ibrahim M. Almanjahie and Arundhati Warke
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Javid Gani Dar: Department of Applied Sciences, Symbiosis Institute of Technology, Symbiosis International (Deemed University), Pune 412115, India
Mir Aijaz: Department of Mathematics, Government Degree College Kilam, Higher Education, J & K, Srinagar 192231, India
Ibrahim M. Almanjahie: Department of Mathematics, College of Science, King Khalid University, Abha 62529, Saudi Arabia
Arundhati Warke: Department of Applied Sciences, Symbiosis Institute of Technology, Symbiosis International (Deemed University), Pune 412115, India

Mathematics, 2022, vol. 10, issue 20, 1-13

Abstract: Background : The assessment of the evolution or fall of the temperature distribution of all biological tissues, and particularly human in vivo tissues at adverse temperatures, is crucial because excess cold or heat can impair the human body and its physiological processes. However, this estimation through experimental investigations is challenging due to the ability of the human body to bear a wide range of unfavourable temperatures. Thus, it becomes imperative to frame a mathematical model and its solution for the measurement of the temperature distribution in the selected tissue. Method : The three-dimensional cylindrical bioheat equation, with initial and boundary conditions, was used to formulate a mathematical model. The model was solved using the variables-separable method. Results : The model was solved analytically, and MATLAB software was used for numerical calculations and a graphical representation. The model was applied to display the temperature distributions in human skin and in the head. Conclusions : The paper helps predict the distribution of heat and corresponding burn or cold injuries in human tissue well in advance of applying any thermal treatment such as targeted tumour hyperthermia or cryosurgery.

Keywords: temperature distribution; cylindrical bioheat equation; variables-separable method; hyperthermia; cryosurgery (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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