## 3 Results
### AT Inspection  
Table 4 shows the ATs of the derived compartments for the twelve patients. AT indicates the curve-fitting agreement between the theoretical estimates and empirical measurements for each specific compartment of the patient's body. As clearly demonstrated, the AT\({}_{\text{tot}}\) fluctuations predicted by the 4C, standard 9C, and simplified 9C models were 0.046 \(\pm\) 0.014, 0.048 \(\pm\) 0.019, and 0.058 \(\pm\) 0.023, respectively. This implies that the simplified 9C model was inferior to the standard 9C one (according to the AT\({}_{\text{tot}}\) difference of 0.01). Possibly, a smaller number of preset paths obtained by removing i\({}_{\text{31}}\) and i\({}_{\text{87}}\) restrained MATLAB from deriving an advanced solution. Quite surprisingly, the 9C model provided a slightly higher AT\({}_{\text{tot}}\), which differed from the previous 4C model by only 0.002.  
\begin{table}
\begin{tabular}{c c c c c c c c c c c c c c} \hline \hline
**Case No.** & **1** & **2** & **3** & **4** & **5** & **6** & **7** & **8*** & **9** & **10** & **11** & **12** & **Average** \\ \hline \hline
**4C model** & & & & & & & & & & & & & & \\ Stomach & 0.073 & 0.052 & 0.052 & 0.077 & 0.054 & 0.075 & 0.039 & 0.045 & 0.065 & 0.026 & 0.019 & 0.112 & 0.057 \(\pm\) 0.025 \\ Thyroid & 0.012 & 0.051 & 0.028 & 0.014 & 0.004 & 0.019 & 0.017 & 0.002 & 0.011 & 0.008 & 0.003 & 0.006 & 0.015 \(\pm\) 0.014 \\ BF\&WB & 0.028 & 0.081 & 0.055 & 0.036 & 0.028 & 0.030 & 0.032 & 0.064 & 0.015 & 0.075 & 0.036 & 0.079 & 0.046 \(\pm\) 0.023 \\
**Total AT** & **0.046** & **0.063** & **0.046** & **0.050** & **0.036** & **0.048** & **0.031** & **0.045** & **0.039** & **0.046** & **0.023** & **0.079** & **0.046** \(\pm\) **0.014** \\ \hline \hline
**Standard 9C** & & & & & & & & & & & & & \\
**model** & & & & & & & & & & & & & \\ Oral & 0.014 & 0.013 & 0.010 & 0.016 & 0.014 & 0.015 & 0.017 & 0.016 & 0.018 & 0.013 & 0.014 & 0.014 & 0.015 \(\pm\) 0.002 \\ Stomach & 0.129 & 0.134 & 0.057 & 0.120 & 0.145 & 0.086 & 0.083 & 0.055 & 0.070 & 0.007 & 0.019 & 0.112 & 0.085 \(\pm\) 0.045 \\ Liver & 0.012 & 0.010 & 0.005 & 0.008 & 0.016 & 0.017 & 0.011 & 0.011 & 0.013 & 0.012 & 0.016 & 0.005 & 0.011 \(\pm\) 0.004 \\ Thyroid & 0.006 & 0.059 & 0.021 & 0.008 & 0.005 & 0.016 & 0.012 & 0.002 & 0.007 & 0.007 & 0.003 & 0.006 & 0.013 \(\pm\) 0.016 \\ Kidney & 0.004 & 0.002 & 0.004 & 0.003 & 0.004 & 0.003 & 0.004 & 0.002 & 0.003 & 0.003 & 0.002 & 0.002 & 0.003 \(\pm\) 0.001 \\ Bladder & 0.005 & 0.001 & 0.019 & 0.004 & 0.003 & 0.001 & 0.004 & 0.019 & 0.001 & 0.011 & 0.002 & 0.002 & 0.006 \(\pm\) 0.007 \\ BF\&WB & 0.081 & 0.100 & 0.065 & 0.073 & 0.090 & 0.035 & 0.039 & 0.061 & 0.019 & 0.073 & 0.035 & 0.077 & 0.062 \(\pm\) 0.025 \\
**Total AT** & **0.063** & **0.073** & **0.038** & **0.058** & **0.070** & **0.040** & **0.039** & **0.035** & **0.031** & **0.031** & **0.018** & **0.075** & **0.048** \(\pm\) **0.019** \\ \hline \hline
**Simplified 9C** & & & & & & & & & & & & & \\
**model** & & & & & & & & & & & & & & \\ Oral & 0.167 & 0.175 & 0.083 & 0.156 & 0.186 & 0.159 & 0.045 & 0.062 & 0.060 & 0.034 & 0.024 & 0.155 & 0.105 \(\pm\) 0.060 \\ Stomach & 0.012 & 0.010 & 0.005 & 0.008 & 0.016 & 0.012 & 0.013 & 0.011 & 0.013 & 0.012 & 0.016 & 0.005 & 0.012 \(\pm\) 0.004 \\ Liver & 0.006 & 0.060 & 0.021 & 0.009 & 0.005 & 0.004 & 0.013 & 0.002 & 0.009 & 0.007 & 0.003 & 0