An analytical solution of the bioheat model in a spherical tissue due to laser irradiation
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Abbas, I.
[1
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Hobiny, A.
[1
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Alzahrani, F.
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King Abdulaziz Univ, Dept Math, Nonlinear Anal & Appl Math Res Grp NAAM, Jeddah, Saudi ArabiaKing Abdulaziz Univ, Dept Math, Nonlinear Anal & Appl Math Res Grp NAAM, Jeddah, Saudi Arabia
Alzahrani, F.
[1
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[1] King Abdulaziz Univ, Dept Math, Nonlinear Anal & Appl Math Res Grp NAAM, Jeddah, Saudi Arabia
This article studies an analytical approach associated with Laplace transform, experimental temperature data and a sequential concept over time to obtain the thermal damage and the temperature in living tissue due to laser irradiation. The effects of blood perfusion and the thermal relaxation time on the temperature of skin tissues and the resulting of thermal damage are investigated. The resulting of thermal damage to the tissue is assessed by the denatured protein range using the formulation of Arrhenius. The outcomes show that the hyperbolic bioheat model is reduced to the parabolic bioheat model when the relaxation time is close to zero. The numerical outcomes of thermal injuries and temperatures are graphically introduced. In conclusion, the comparison between the numerical computations and the existing experimental study displays that a current mathematical model is an effective tool for evaluating the biological heat transfer in biological tissues.
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King Abdulaziz Univ, Fac Sci & Arts Khulais, Dept Math, Jeddah 21413, Saudi Arabia
Sohag Univ, Fac Sci, Dept Math, Sohag, EgyptKing Abdulaziz Univ, Fac Sci & Arts Khulais, Dept Math, Jeddah 21413, Saudi Arabia
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King Abdulaziz Univ, Dept Math, Fac Sci & Arts Khulais, Jeddah 21413, Saudi Arabia
Sohag Univ, Fac Sci, Dept Math, Sohag, EgyptKing Abdulaziz Univ, Dept Math, Fac Sci & Arts Khulais, Jeddah 21413, Saudi Arabia
Abbas, Ibrahim A.
Youssef, Hamdy M.
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Univ Alexandria, Dept Math, Fac Educ, Alexandria, EgyptKing Abdulaziz Univ, Dept Math, Fac Sci & Arts Khulais, Jeddah 21413, Saudi Arabia
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Jazan Univ, Dept Math, Fac Sci, Jazan, Saudi Arabia
Sohag Univ, Dept Math, Fac Sci, Sohag, EgyptJazan Univ, Dept Math, Fac Sci, Jazan, Saudi Arabia
Abbas, Ibrahim A.
Abd-alla, Abo-el-nour N.
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Jazan Univ, Dept Math, Fac Sci, Jazan, Saudi Arabia
Sohag Univ, Dept Math, Fac Sci, Sohag, EgyptJazan Univ, Dept Math, Fac Sci, Jazan, Saudi Arabia
Abd-alla, Abo-el-nour N.
Othman, Mohamed I. A.
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Zagazig Univ, Fac Sci, Dept Math, Zagazig, Egypt
Shaqra Univ, Dept Math, Fac Sci, Al Dawadmi, Saudi ArabiaJazan Univ, Dept Math, Fac Sci, Jazan, Saudi Arabia
机构:
King Abdulaziz Univ, Fac Sci & Arts Khulais, Dept Math, Jeddah 21413, Saudi Arabia
Sohag Univ, Fac Sci, Dept Math, Sohag, EgyptKing Abdulaziz Univ, Fac Sci & Arts Khulais, Dept Math, Jeddah 21413, Saudi Arabia
机构:
King Abdulaziz Univ, Dept Math, Fac Sci & Arts Khulais, Jeddah 21413, Saudi Arabia
Sohag Univ, Fac Sci, Dept Math, Sohag, EgyptKing Abdulaziz Univ, Dept Math, Fac Sci & Arts Khulais, Jeddah 21413, Saudi Arabia
Abbas, Ibrahim A.
Youssef, Hamdy M.
论文数: 0引用数: 0
h-index: 0
机构:
Univ Alexandria, Dept Math, Fac Educ, Alexandria, EgyptKing Abdulaziz Univ, Dept Math, Fac Sci & Arts Khulais, Jeddah 21413, Saudi Arabia
机构:
Jazan Univ, Dept Math, Fac Sci, Jazan, Saudi Arabia
Sohag Univ, Dept Math, Fac Sci, Sohag, EgyptJazan Univ, Dept Math, Fac Sci, Jazan, Saudi Arabia
Abbas, Ibrahim A.
Abd-alla, Abo-el-nour N.
论文数: 0引用数: 0
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机构:
Jazan Univ, Dept Math, Fac Sci, Jazan, Saudi Arabia
Sohag Univ, Dept Math, Fac Sci, Sohag, EgyptJazan Univ, Dept Math, Fac Sci, Jazan, Saudi Arabia
Abd-alla, Abo-el-nour N.
Othman, Mohamed I. A.
论文数: 0引用数: 0
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Zagazig Univ, Fac Sci, Dept Math, Zagazig, Egypt
Shaqra Univ, Dept Math, Fac Sci, Al Dawadmi, Saudi ArabiaJazan Univ, Dept Math, Fac Sci, Jazan, Saudi Arabia