Identification of boundary heat flux assuring the destruction of target region of biological tissue application of the generalized dual-phase lag model and gradient method

• Autorzy: Turchan Łukasz , Majchrzak Ewa

Identyfikatory

DOI

10.24423/cames.247

• Języki publikacji: EN

Abstrakty

EN

In this paper, an axially symmetrical biological tissue domain subjected to an external heat source is analyzed. The thermal processes occurring in the domain considered are described using the generalized dual-phase lag model supplemented by the Neumann boundary conditions and the appropriate initial conditions. The problem of tissue heating is solved using the implicit scheme of the finite difference method. The obtained solution allows one to determine the local and temporary values of the Arrhenius integral. Next, the inverse problem related to the identification of the boundary heat flux assuring the postulated destruction of the tissue target region is considered. The problem is solved using the gradient method. In the final part of the paper, the results of computations and the conclusions are presented.

Słowa kluczowe

EN

bioheat transfer; generalized dual-phase lag model; Arrhenius integral; inverse problem; finite difference method; gradient method

PL

przepływ biociepła; model dwufazowego opóźnienia; całka Arrheniusa; problem odwrotny; metoda różnic skończonych; metoda gradientowa

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Methods in Engineering and Science
• Rocznik: 2019
• Tom: Vol. 26, no. 1
• Strony: 21--34
• Opis fizyczny: Bibliogr. 43 poz., tab., wykr.

Twórcy

autor

Turchan Łukasz

• Institute of Computational Mechanics and Engineering Silesian University of Technology Konarskiego 18A, 44-100 Gliwice, Poland

autor

Majchrzak Ewa

• Institute of Computational Mechanics and Engineering Silesian University of Technology Konarskiego 18A, 44-100 Gliwice, Poland

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