3D thermal wave model of bioheat transfer : solution by means of finite difference method

• Autorzy: Kałuża, G. , Majchrzak, E.
• Języki publikacji: EN

Abstrakty

EN

Up to the present, the models describing temperature distribution in the biological tissue as a rule based on the Pennes bioheat transfer equation. Taking into account the nonhomogeneous inner structure of tissue the heat conduction proceeding in this domain should be described by the hyperbolic equation. In the paper the algorithm of numerical solution of hyperbolic heat conduction equation is presented. The explicit variant of finite differences method is applied and the results of computations are shown.

Słowa kluczowe

PL

tkanka biologiczna; model fal cieplnych; hiperboliczne równanie przewodzenia ciepła

EN

bioheat transfer; biological tissue; thermal wave model; hyperbolic heat conduction equation

• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2007
• Tom: Vol. 6, nr 1
• Strony: 91-98
• Opis fizyczny: Bibliogr. 5 poz., rys.

Twórcy

autor

Kałuża, G.

autor

Majchrzak, E.

• Silesian University of Technology, Gliwice, Poland,

Bibliografia

• [1] Liu J., Xu L.X., Boundary information based diagnostic on the thermal states of biological bodies, Journal of Heat and Mass Transfer 2000, 43, 2827-2839.
• [2] Kaminski W., Hyperbolic heat conduction equation for materials with a nonhomogeneous inner structure, Journal of Heat Transfer 1990, 112, 555-560.
• [3] Tamma K.K., Zhou X., Macroscale and microscale thermal transport and thermo mechanical interactions: some noteworthy perspectives, Journal of Thermal Stresses 1998, 21, 405-449.
• [4] Majchrzak E., Kałuża G., Numerical solution of thermal wave model of bioheat transfer using boundary element method, 17th International Conference on Computer Methods in Mechanics CMM-2007, Łódź-Spała, Poland, Short Papers, 261-262.
• [5] Mochnacki B., Suchy J.S., Numerical methods in computations of foundry processes, PFTA, Cracow 1995.