## 5 Dynamical Results of the Stimulus Response Model (SRM)
Figure 3: ES scores (**left**) and SFS scores (**right**) for the base line for Participant 2. Figure 2: ES scores (**left**) and SFS scores (**right**) for the base line for Participant 1. In addition, Table 6 shows the parameter confidence intervals of the SRM provided by the genetic algorithm for Participant 1, except for the dose and the initial values that are known and then presented with their respective single values. The corresponding \(opp\) confidence intervals (\(opp=a+p+q\cdot\tau\)) obtained from Table 6 are (6.57082, 8.16833) min\({}^{-1}\) for ES and (0.887418, 1.12422) min\({}^{-1}\) for SFS (confidence level 0.95). In Section 6 these data are compared with those of Participant 2. In addition, note that the initial values for Participant 1 are very low for both happiness scales (\(y_{0}=2.0\) for both scales). About the initial values, according to the GFP theory [21; 22], it is very important to emphasize that for happiness in both scales: the lower the initial value is, the more significant the dynamical responses will be, and vice versa. This is in correspondence with the high determination coefficients values obtained for both scales. Therefore, what the SRM predicts is that Participant 1 becomes happier after alcohol consumption than he usually uses to be, at least in the short term. Figure 5 presents the scores with uncertainty of the ES and SFS for Phase B of the experimental design of Participant 2, jointly with the curves predicted by the SRM because of 26.51 mL of alcohol dose. Note that the scores' residual dispersion is much higher than that of Participant 1. In fact, the low values of the determination coefficients, \(R^{2}=0.39\) for ES and \(R^{2}=0.34\) for SFS, announce this residual dispersion, although the Anderson-Darling test of the residuals (respectively, 0.46 and 0.70) shows us that the residuals are random. The conclusion from these data is very important: compared with Participant 1, the part of the data variability explained by the SRM for Participant 2 provides a very low happiness response to the alcohol stimulus. \begin{table}
\begin{tabular}{c c c c} \hline \hline
**Parameters** & **Symbol** & **ES** & **SFS** \\ \hline Dose & \(M\) & 26.51 & 26.51 \\ Inhibitor effect delay & \(\tau\) & (12.1347, 16.6347) & (80.7987, 102.809) \\ Assimilation rate & \(\alpha\) & (0.01810, 0.01892) & (0.01493, 0.01700) \\ Consumption rate & \(\beta\) & (0.00491, 0.00504) & (0.00491, 0.00503) \\ Homeostatic control power & \(a\) & (2.77343, 3.42798) & (0.34036, 0.41955) \\ Toric or basal happiness & \(b\) & (3.60124, 4.03113) & (2.31024, 2.62212) \\ Excitation effect power & \(p\) & (3.7454, 4.64086) & (0.44050, 0.52910) \\ Inhibitor effect power & \(q\) & (0.00428, 0.00598) & (0.00132, 0.00170) \\ Initial happiness (initial state) & \(y_{0}\) & 2.0 & 2.0 \\ Initial drug in blood & \(s_{0}\) & 0.0 & 0.0 \\ \hline \hline \end{tabular}
\end{table} 
Table 6: Parameters’ confidence intervals (0.95 confidence level) and values of the SRM provided by the genetic algorithm for ES and SFS for Participant 1 in Phase B (see dimensions and units in Table 4). Figure 4: Phase B, Participant 1. ES (**left**) and SFS (**right**) scores (dots) and curves with uncertainty predicted by the stimulus response model. For ES: \(R^{2}=0.87\), \(p\)-value = 0.71. For SFS: \(R^{2}=0.88\), \(p\)-value = 0.95. In addition, Table 7 shows the corresponding parameters' confidence intervals of the SRM provided by the genetic algorithm for Participant 2, except for the dose and the initial values that are known and then presented with its respective single value. The corresponding _opp_ confidence intervals (\(opp=a+p+q\cdot\tau\)) obtained from Table 7 are (4.46197, 6.20496) min\({}^{-1}\) for ES and (0.18140, 0.25944) min\({}^{-1}\) for SFS (confidence level 0.95). In Section 6 these data are compared with those of Participant 1. In this case, the model predictions must be taken more carefully, due to the low effect of alcohol on this participant happiness.