\(\frac{dC_{SM1}}{dt}=-k_{1f}C_{SM1}C_{D}+\frac{k_{1f}}{K_{\text{eq}}}C_{SM1D}-k_{4}C_{SM1}C_{H_{2}O}\) (3.1)
\(\frac{dC_{D}}{dt}=-k_{1f}C_{SM1}C_{D}+\frac{k_{1f}}{K_{\text{eq}}}C_{SM1D}+k_{2}C_{SM2}C_{SM1D}-k_{5}C_{D}C_{H_{2}O}\) (3.2)
\(\frac{dC_{SM1D}}{dt}=k_{1f}C_{SM1}C_{D}-\frac{k_{1f}}{K_{\text{eq}}}C_{SM1D}-k_{2}C_{SM2}C_{SM1D}\) (3.3)
\(\frac{dC_{SM2}}{dt}={-k}_{2}C_{SM2}C_{SM1D}-k_{3}C_{SM2}C_{P}\) (3.4)
\(\frac{dC_{P}}{dt}=k_{2}C_{SM2}C_{SM1D}-k_{3}C_{SM2}C_{P}-k_{6}C_{P}\) (3.5)
\(\frac{dC_{H_{2}O}}{dt}=-k_{4}C_{SM1}C_{H_{2}O}-k_{5}C_{D}C_{H_{2}O}\) (3.6)
\(\frac{dC_{I1}}{dt}=k_{3}C_{SM2}C_{P}\) (3.7)
\(\frac{dC_{I2}}{dt}=k_{4}C_{SM1}C_{H_{2}O}\) (3.8)
\(\frac{dC_{I3}}{dt}=k_{5}C_{D}C_{H_{2}O}\) (3.9)
\(\frac{dC_{I4}}{dt}=k_{6}C_{P}\) (3.10)
\(y_{SM1}=C_{SM1}+\varepsilon_{SM1}\) (3.11)
\(y_{D}=C_{D}+\varepsilon_{D}\) (3.12)
\(y_{SM2}=C_{SM2}+\varepsilon_{SM2}\) (3.13)
\(y_{P}=C_{P}+\varepsilon_{P}\) (3.14)