## 6 Results
### The Effect of Tumor Metabolism  
Table 4 provides insights into the relationship between tumor heat generation and skin surface temperature at different depths within the breast tissue and for different breast sizes (e.g., different breast surface areas). At T1 depth in Table 4a, the temperature variations range from 0.74 \({}^{\circ}\)C (2.22%) for a tumor heat generation rate of 29,000 W/m\({}^{3}\) on the smallest breast size of 7.5 cm to 0.86 \({}^{\circ}\)C (2.58%) for a rate of 65,500 W/m\({}^{3}\) and largest breast size of 17 cm. Whereas at T3 depth in Table 4b, the temperature variations range from 0.18 \({}^{\circ}\)C (0.54%) to 0.31 \({}^{\circ}\)C (0.93%), and at T9 depth in Table 4c, they range from 0.02 \({}^{\circ}\)C (0.06%) to 0.05 \({}^{\circ}\)C (0.15%). These results show that as the tumor heat generation rate \begin{table}
\begin{tabular}{c c c c c c c} \hline \hline  & \multicolumn{4}{c}{**(a)**} \\ \hline \multicolumn{6}{c}{**Skin surface temperature \({}^{\circ}\)C**} \\ \hline \multicolumn{6}{c}{**Breast size**} \\ \hline Tumor size & 7.5 cm & 10 cm & 17 cm & 7.5 cm & 10 cm & 17 cm \\ \hline Healthy breast & 33.35 & 33.35 & 33.35 & & & \\ \hline Healthy breast & 33.35 & 33.35 & 33.35 & & & \\ \hline
0.5 cm & 34.12 & 34.11 & 34.08 & 0.77 & 0.76 & 0.73 \\  & & & & (2.3\%) & (2.28\%) & (2.19\%) \\ \hline
1 cm & 34.35 & 34.34 & 34.33 & 1 & 0.99 & 0.98 \\  & & & & (3\%) & (2.97\%) & (2.94\%) \\ \hline
1.5 cm & 34.56 & 34.54 & 34.52 & 1.19 & 1.17 & 1.19 \\  & & & & (3.57\%) & (3.51\%) & (3.57\%) \\ \hline
2 cm & 35.1 & 35 & 34.8 & 1.75 & 1.65 & 1.45 \\  & & & & (5.25\%) & (4.95\%) & (4.35\%) \\ \hline \multicolumn{6}{c}{**(b)**} \\ \hline \multicolumn{6}{c}{**Skin surface temperature \({}^{\circ}\)C**} \\ \hline \multicolumn{6}{c}{**Breast size**} \\ \hline Tumor size & 7.5 cm & 10 cm & 17 cm & 7.5 cm & 10 cm & 17 cm \\ \hline Healthy breast & 33.35 & 33.35 & 33.35 & & \\ \hline Healthy breast & 33.35 & 33.35 & 33.35 & NA & 0 & 0 \\ \hline Healthy breast & 33.35 & 33.35 & NA & 0.04 & 0.02 \\ \hline
1 cm & NA & 33.39 & 33.37 & NA & 0.04 & 0.02 \\  & & & & (0.12\%) & (0.06\%) \\ \hline
1.5 cm & NA & 33.42 & 33.39 & NA & 0.07 & 0.04 \\  & & & & (0.21\%) & (0.12\%) \\ \hline
2 cm & NA & 33.7 & 33.5 & NA & 0.35 & 0.15 \\  & & & & (1.05\%) & (0.45\%) \\ \hline \hline \end{tabular}
\end{table} 
Table 3: (a) Tumor size variation on the breast at T1 (2 cm) depth, (b) tumor size variation on the breast at T3 (4 cm) depth, and (c) tumor size variation on the breast at T9 (10 cm) depth. increases, the detectable temperature variations from the healthy breast also increase. This suggests that tumor characteristics, such as their metabolic activity and heat generation, can influence the skin surface temperature. However, as the tumor depth increases from 2 cm to 10 cm beneath the skin, its detectability ranges from difficult to not possible (see Table 4c). Furthermore, increasing the breast size also decreases the detectable breast surface temperature, making the detection of the tumor presence more difficult. The fact is that deeply located tumors beneath the skin pose a challenge to patients with larger breast sizes, but their chances of detecting the presence of the tumor is still better than patients with smaller breast size. However, monitoring these temperature variations progression regularly over time can potentially aid in the detection and assessment of breast tumors.