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http://yadda.icm.edu.pl:80/baztech/element/bwmeta1.element.baztech-article-BPZ2-0041-0013

Czasopismo

International Journal of Applied Mechanics and Engineering

Tytuł artykułu

Mathematical modeling of first to third degree burn injury by sinusoidal heating source

Autorzy Rai, K. N.  Srivastava, V. 
Treść / Zawartość http://www.ijame.uz.zgora.pl/ http://www.degruyter.com/view/j/ijame
Warianty tytułu
Języki publikacji EN
Abstrakty
EN The object of this study is to provide a generalized mathematical model of burn injury due to a sinusoidal heat source at the skin surface. An application of double Fourier cosine transform is applied to convert this problem into a boundary value problem of ordinary differential equations. The solution thus obtained is transferred into a standard form with the help of the inverse discrete Fourier cosine transform. Finally, the numerical results obtained for the distribution of temperature in different layers of the skin during burn injury are discussed and displayed graphically.
Słowa kluczowe
PL źródła ciepła   transformacja Fouriera  
EN bioheat transfer equation   sinusoidal heat source   inverse discrete Fourier cosine transform  
Wydawca Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
Czasopismo International Journal of Applied Mechanics and Engineering
Rocznik 2009
Tom Vol. 14, no 2
Strony 489--500
Opis fizyczny Bibliogr. 11 poz., tab., wykr.
Twórcy
autor Rai, K. N.
autor Srivastava, V.
  • Department of Applied Mathematics Institute of Technology, B.H.U. Varanasi-221005, INDIA, vineeitbhu@gmail.com
Bibliografia
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Diller K.R. and Hayes L.J. (1983): A finite element model of burn injury in blood - perfused skin. - J. Biomech Eng, vol.105, pp.300-307.
Henriques Jr F.C. and Moritz A.R. (1947): The conduction of heat to and through skin and the temperature attained therein. A theoretical and an experimental investigation. - Am J Pathol, vol.23, pp.531-549.
Kachal Kin W.A. and Enalejev R.Sh. (1998): Mathematical Simulation of Heat Transfer Process in skin cover at Burn Injury. - Annals of the New York Academy of Sciences, vol.858, pp.30-35.
Myron L. Cohen (1977): Measurment of the thermal properties of Human skin. A Review. - The J. Investigative Dermatology, vol.69, pp.333-338.
Ng E.Y.K. and Chua L.T. (2000): Mesh-independent prediction of skin burns injury. - J. Med. Eng. Technol., vol.24, pp.250-255.
Qian Feng, Hu Zhao-yan, Zhu Zheng-kang and Shen Li-xing (2005): The Establishment of the Mathematical Model of the 2nd Degree Burn Injury of Human Tissues and Its Application. - Proceedings of the 2005 IEEE, Engineering in Medicine and Biology 27th Annual Conference, Shanghai, China, September1-4, pp.2918-2921.
Scott B. Wilson and Vance A. Spence (1988): A tissue heat transfer model for relating dynamic skin temperature changes to physiological parameters. - J. Phys. Med. Biol., vol.33, pp.895-912.
Torvi D.A. and Dale J.D. (1994): A finite element model of skin subjected to a flash fire. - J. Biomech. Eng,, vol.116, pp.250-255.
Tzu-Ching Shih, Hong-Sen Kou and Win-Li Lin (2007): Analytical analysis of the Pennes bioheat transfer equation with sinusoidal heat flux condition on skin surface. - J. Medical Eng. and Phys., vol.29, No.9, pp.946-953.
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