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Numerical analysis of tissue heating using the bioheat transfer porous model

Majchrzak E., Turchan Ł.

Computer Assisted Methods in Engineering and Science

2013

Vol. 20, no. 2

123--131

The paper concerns the modelling of artificial hyperthermia. The 3D domain including healthy tissue and tumor region is considered. Heat transfer processes proceeding in this domain are described by the Pennes model and next by the porous one. The external heating of tissue is taken into account by the introduction of internal source function to the equation considered. Both models are supplemented by the same geometrical, physical, boundary and initial conditions. At the stage of numerical simulation the explicit scheme of finite difference method is used. The examples of computations show the similarities and differences of solutions and allow to formulate the conclusions connected with the applications of the results obtained in the hyperthermia therapy.

Modelling of heating tissue process with interval thermal parameters

Piasecka-Belkhayat A.

Zeszyty Naukowe Katedry Mechaniki Stosowanej / Politechnika Śląska

2006

z. 26

285-290

In the paper the numerical analysis of heat transfer process proceeding in the domain of a biological tissue is presented. In particular, the one-dimensional problem is considered, in which the thermophysical parameters (volumetric specific heat and heat conduction) are given as intervals. The problem discussed has been solved using the 1st scheme of the interval boundary element method. The interval Gauss elimination method with the decomposition procedure has been applied to solve the obtained interval system of equations. In the final part of the paper the results obtained are shown.