Database of the thermal ablation model

Thermal ablation is a low invasive technique which eliminates cancerous tissue using high temperature. The presented database was used to show the temperature distribution for t=600[s] in two cases: when the value of the thermal conductivity of tissue k(x;T) is constant and for the variable k(x;T). In addition, using these data we showed the difference between temperature distributions for t=600[s] obtained for both cases k(x;T), where T is the tissue temperature. The database consists of five files. Namely,1) the file rozklad_poczatkowy.txt contains the initial temperature distribution,2) the file rozklad_koncowy_const_k_wer4.txt contains the temperature distribution for t=600[s] in the case of constant value of k(x;T),3) the file rozklad_koncowy_var_k_wer4.txt contains the temperature distribution for t=600[s] in the case of varying value of k(x;T),4) the file rozklad roznica_na_koncu_wer6_nowy1.txt contains the difference between temperature distributionsfor t=600[s] obtained in the considered two cases of k(x;T),5) the file roznica_na_koncu_wer3_nowy3.txt contains the difference between temperature distributions for t=600[s] obtained for the considered two cases of k(x;T). All data concern the scheme presented in Conclusion section in the following paper:A. Bartłomiejczyk, H. Leszczyński, A. Poliński, Thermal ablation modeling via bioheat equation andits numerical treatment, Appl. Math. (Warsaw), 42, 1 (2015), pp. 1-12, DOI: 10.4064/am42-1-1. The file format is as follows. The first row is the x-coordinate (in meters), the first column is the y-coordinate (in meters), and in the middle at the intersection of the respective rows and columns is the temperature value in K.