## 3 Results and Discussion
### Stochastic Petri Net-Based Model
\begin{table}
\begin{tabular}{p{113.8 pt}|p{113.8 pt}|p{113.8 pt}|p{113.8 pt}|p{113.8 pt}} \hline \hline
**Transition** & **Kinetic Parameter** & **Rate Function** & **Transition** & **Kinetic Parameter** & **Rate Function** \\ \hline \(t_{0}\) & \(1.0\) & \(MA(1.0)\) & \(t_{61}\) & \(0.1\) & \(MA(0.1)\) \\ \hline \(t_{1}\) & \(0.1\) & \(MA(0.1)\) & \(t_{62}\) & \(0.1\) & \(MA(0.1)\) \\ \hline \(t_{2}\) & \(0.1\) & \(MA(0.1)\) & \(t_{63}\) & \(0.025\) & \(MA(0.025)\) \\ \hline \(t_{3}\) & \(0.0125\) & \(MA(0.0125)\) & \(t_{64}\) & \(1.0\) & \(MA(1.0)\) \\ \hline \(t_{4}\) & \(0.1\) & \(MA(0.1)\) & \(t_{65}\) & \(0.025\) & \(MA(0.025)\) \\ \hline \(t_{5}\) & \(1.0\) & \(MA(1.0)\) & \(t_{66}\) & \(0.0125\) & \(MA(0.0125)\) \\ \hline \(t_{6}\) & \(0.1\) & \(MA(0.1)\) & \(t_{67}\) & \(1.0\) & \(MA(1.0)\) \\ \hline \(t_{7}\) & \(0.05\) & \(MA(0.05)\) & \(t_{68}\) & \(1.0\) & \(MA(1.0)\)_an_ \\ \hline \(t_{8}\) & \(0.1\) & \(MA(0.1)\) & \(t_{69}\) & \(0.1\) & \(MA(0.1)\) \\ \hline \(t_{9}\) & \(1.0\) & \(MA(1.0)\) & \(t_{70}\) & \(1.0\) & \(MA(1.0)\) \\ \hline \(t_{10}\) & \(1.0\) & \(MA(1.0)\) & \(t_{71}\) & \(1.0\) & \(MA(1.0)\) \\ \hline \(t_{11}\) & \(1.0\) & \(MA(1.0)\) & \(t_{72}\) & \(0.025\) & \(MA(0.025)\) \\ \hline \(t_{12}\) & \(0.1\) & \(MA(0.1)\) & \(t_{73}\) & \(0.0125\) & \(MA(0.0125)\) \\ \hline \(t_{13}\) & \(0.05\) & \(MA(0.05)\) & \(t_{74}\) & \(0.0125\) & \(MA(0.0125)\) \\ \hline \(t_{14}\) & \(0.025\) & \(MA(0.025)\) & \(t_{75}\) & \(1.0\) & \(MA(1.0)\) \\ \hline \(t_{15}\) & \(1.0\) & \(MA(1.0)\) & \(t_{76}\) & \(0.05\) & \(MA(0.05)\) \\ \hline \(t_{16}\) & \(0.05\) & \(MA(0.05)\) & \(t_{77}\) & \(0.1\) & \(MA(0.1)\) \\ \hline \(t_{17}\) & \(0.05\) & \(MA(0.05)\) & \(t_{78}\) & \(1.0\) & \(MA(1.0)\) \\ \hline \(t_{18}\) & \(0.1\) & \(MA(0.1)\) & \(t_{79}\) & \(0.05\) & \(MA(0.05)\) \\ \hline \(t_{19}\) & \(0.1\) & \(MA(0.1)\) & \(t_{80}\) & \(0.1\) & \(MA(0.1)\) \\ \hline \(t_{20}\) & \(0.1\) & \(MA(0.1)\) & \(t_{81}\) & \(0.0125\) & \(MA(0.0125)\) \\ \hline \(t_{21}\) & \(0.1\) & \(MA(0.1)\) & \(t_{82}\) & \(1.0\) & \(MA(1.0)\) \\ \hline \(t_{22}\) & \(0.05\) & \(MA(0.05)\) & \(t_{83}\) & \(0.1\) & \(MA(0.1)\) \\ \hline \(t_{23}\) & \(1.0\) & \(MA(1.0)\) & \(t_{84}\) & \(0.1\) & \(MA(0.1)\) \\ \hline \(t_{24}\) & \(0.1\) & \(MA(0.1)\) & \(t_{85}\) & \(0.1\) & \(MA(0.1)\) \\ \hline \(t_{25}\) & \(1.0\) & \(MA(1.0)\) & \(t_{86}\) & \(0.1\) & \(MA(0.1)\) \\ \hline \(t_{26}\) & \(1.0\) & \(MA(1.0)\) & \(t_{87}\) & \(0.1\) & \(MA(0.1)\) \\ \hline \(t_{27}\) & \(0.1\) & \(MA(0.1)\) & \(t_{88}\) & \(0.05\) & \(MA(0.05)\) \\ \hline \(t_{28}\) & \(0.0125\) & \(MA(0.0125)\) & \(t_{89}\) & \(0.1\) & \(MA(0.1)\) \\ \hline \(t_{29}\) & \(1.0\) & \(MA(1.0)\) & \(t_{90}\) & \(0.05\) & \(MA(0.05)\) \\ \hline \(t_{30}\) & \(0.1\) & \(MA(0.1)\) & \(t_{91}\) & \(1.0\) & \(MA(1.0)\) \\ \hline \(t_{31}\) & \(1.0\) & \(MA(1.0)\) & \(t_{92}\) & \(0.0125\) & \(MA(0.0125)\) \\ \hline \(t_{32}\) & \(0.05\) & \(MA(0.05)\) & \(t_{93}\) & \(0.05\) & \(MA(0.05)\) \\ \hline \(t_{33}\) & \(1.0\) & \(MA(1.0)\) & \(t_{94}\) & \(0.1\) & \(MA(0.1)\) \\ \hline \(t_{34}\) & \(0.1\) & \(MA(0.1)\) & \(t_{95}\) & \(0.1\) & \(MA(0.1)\) \\ \hline \hline \end{tabular}
\end{table} 
Table 3: The following is a list of rate functions for the analyzed model, where \(MA(c)\) represents the mass action function [60] and \(c\) is a kinetic parameter (rate constant) presented in sec\({}^{-1}\). In Snoopy [44], the function \(MA\) is readily available and serves to create the rate function for a transition. This function considers the transition’s input places and accepts the kinetic parameter as an input.