\frac{dx_{1}}{dt} = \left(1 \cdot k_{25} \cdot \operatorname{piecewise}(\frac{41}{1000}, k_{24} = 0, \frac{33}{1000}) + 1 \cdot k_{25} \cdot \operatorname{piecewise}(\frac{11}{2} \cdot 10^{-5}, k_{24} = 0, \frac{11}{100000}) \cdot \left(x_{1} + x_{2} + x_{3} + x_{4}\right) + 1 \cdot k_{25} \cdot \operatorname{piecewise}(\frac{27}{10000}, k_{24} = 0, \frac{11}{20000}) \cdot x_{4} + -1 \cdot k_{25} \cdot \operatorname{piecewise}(\frac{33}{100}, k_{24} = 0, \frac{1}{2}) \cdot \left(x_{5} + x_{6} + x_{7}\right) \cdot \operatorname{piecewise}(\frac{43}{10}, k_{24} = 0, 19) / \left(\operatorname{piecewise}(\frac{33}{100}, k_{24} = 0, \frac{1}{2}) \cdot \left(x_{5} + x_{6} + x_{7}\right) + \operatorname{piecewise}(\frac{43}{10}, k_{24} = 0, 19) \cdot \left(x_{1} + x_{2} + x_{3} + x_{4}\right)\right) \cdot \operatorname{piecewise}(\frac{11}{500}, k_{24} = 0, \frac{11}{500}) \cdot x_{7} / \left(x_{5} + x_{6} + x_{7}\right) \cdot x_{1} + -1 \cdot k_{25} \cdot \left(\operatorname{piecewise}(\frac{44}{5} \cdot 10^{-6}, k_{24} = 0, \frac{8}{5} \cdot 10^{-5}) + \operatorname{piecewise}(2 \cdot 10^{-7}, k_{24} = 0, 3 \cdot 10^{-7}) \cdot \left(x_{1} + x_{2} + x_{3} + x_{4}\right)\right) \cdot x_{1}\right) / k_{25}\\
\frac{dx_{2}}{dt} = \left(1 \cdot k_{25} \cdot \operatorname{piecewise}(\frac{33}{100}, k_{24} = 0, \frac{1}{2}) \cdot \left(x_{5} + x_{6} + x_{7}\right) \cdot \operatorname{piecewise}(\frac{43}{10}, k_{24} = 0, 19) / \left(\operatorname{piecewise}(\frac{33}{100}, k_{24} = 0, \frac{1}{2}) \cdot \left(x_{5} + x_{6} + x_{7}\right) + \operatorname{piecewise}(\frac{43}{10}, k_{24} = 0, 19) \cdot \left(x_{1} + x_{2} + x_{3} + x_{4}\right)\right) \cdot \operatorname{piecewise}(\frac{11}{500}, k_{24} = 0, \frac{11}{500}) \cdot x_{7} / \left(x_{5} + x_{6} + x_{7}\right) \cdot x_{1} + -1 \cdot k_{25} \cdot \operatorname{piecewise}(\frac{1}{10}, k_{24} = 0, \frac{1}{10}) \cdot x_{2} + -1 \cdot k_{25} \cdot \left(\operatorname{piecewise}(\frac{44}{5} \cdot 10^{-6}, k_{24} = 0, \frac{8}{5} \cdot 10^{-5}) + \operatorname{piecewise}(2 \cdot 10^{-7}, k_{24} = 0, 3 \cdot 10^{-7}) \cdot \left(x_{1} + x_{2} + x_{3} + x_{4}\right)\right) \cdot x_{2}\right) / k_{25}\\
\frac{dx_{3}}{dt} = \left(1 \cdot k_{25} \cdot \operatorname{piecewise}(\frac{1}{10}, k_{24} = 0, \frac{1}{10}) \cdot x_{2} + -1 \cdot k_{25} \cdot \operatorname{piecewise}(\frac{7}{2000}, k_{24} = 0, \frac{7}{2000}) \cdot x_{3} + -1 \cdot k_{25} \cdot \operatorname{piecewise}(\frac{9}{5} \cdot 10^{-5}, k_{24} = 0, 9 \cdot 10^{-5}) \cdot x_{3} + -1 \cdot k_{25} \cdot \left(\operatorname{piecewise}(\frac{44}{5} \cdot 10^{-6}, k_{24} = 0, \frac{8}{5} \cdot 10^{-5}) + \operatorname{piecewise}(2 \cdot 10^{-7}, k_{24} = 0, 3 \cdot 10^{-7}) \cdot \left(x_{1} + x_{2} + x_{3} + x_{4}\right)\right) \cdot x_{3}\right) / k_{25}\\
\frac{dx_{4}}{dt} = \left(-1 \cdot k_{25} \cdot \operatorname{piecewise}(\frac{27}{10000}, k_{24} = 0, \frac{11}{20000}) \cdot x_{4} + 1 \cdot k_{25} \cdot \operatorname{piecewise}(\frac{7}{2000}, k_{24} = 0, \frac{7}{2000}) \cdot x_{3} + -1 \cdot k_{25} \cdot \left(\operatorname{piecewise}(\frac{44}{5} \cdot 10^{-6}, k_{24} = 0, \frac{8}{5} \cdot 10^{-5}) + \operatorname{piecewise}(2 \cdot 10^{-7}, k_{24} = 0, 3 \cdot 10^{-7}) \cdot \left(x_{1} + x_{2} + x_{3} + x_{4}\right)\right) \cdot x_{4}\right) / k_{25}\\
\frac{dx_{5}}{dt} = \left(1 \cdot k_{26} \cdot \operatorname{piecewise}(\frac{13}{100}, k_{24} = 0, \frac{13}{100}) \cdot \left(x_{5} + x_{6} + x_{7}\right) + -1 \cdot k_{26} \cdot \operatorname{piecewise}(\frac{33}{100}, k_{24} = 0, \frac{1}{2}) \cdot \operatorname{piecewise}(\frac{43}{10}, k_{24} = 0, 19) \cdot \left(x_{1} + x_{2} + x_{3} + x_{4}\right) / \left(\operatorname{piecewise}(\frac{33}{100}, k_{24} = 0, \frac{1}{2}) \cdot \left(x_{5} + x_{6} + x_{7}\right) + \operatorname{piecewise}(\frac{43}{10}, k_{24} = 0, 19) \cdot \left(x_{1} + x_{2} + x_{3} + x_{4}\right)\right) \cdot \left(\operatorname{piecewise}(\frac{6}{25}, k_{24} = 0, \frac{12}{25}) \cdot x_{3} / \left(x_{1} + x_{2} + x_{3} + x_{4}\right) + \operatorname{piecewise}(\frac{3}{125}, k_{24} = 0, \frac{6}{125}) \cdot x_{4} / \left(x_{1} + x_{2} + x_{3} + x_{4}\right)\right) \cdot x_{5} + -1 \cdot k_{26} \cdot \left(\operatorname{piecewise}(\frac{33}{1000}, k_{24} = 0, \frac{33}{1000}) + \operatorname{piecewise}(4 \cdot 10^{-5}, k_{24} = 0, 2 \cdot 10^{-5}) \cdot \left(x_{5} + x_{6} + x_{7}\right)\right) \cdot x_{5}\right) / k_{26}\\
\frac{dx_{6}}{dt} = \left(1 \cdot k_{26} \cdot \operatorname{piecewise}(\frac{33}{100}, k_{24} = 0, \frac{1}{2}) \cdot \operatorname{piecewise}(\frac{43}{10}, k_{24} = 0, 19) \cdot \left(x_{1} + x_{2} + x_{3} + x_{4}\right) / \left(\operatorname{piecewise}(\frac{33}{100}, k_{24} = 0, \frac{1}{2}) \cdot \left(x_{5} + x_{6} + x_{7}\right) + \operatorname{piecewise}(\frac{43}{10}, k_{24} = 0, 19) \cdot \left(x_{1} + x_{2} + x_{3} + x_{4}\right)\right) \cdot \left(\operatorname{piecewise}(\frac{6}{25}, k_{24} = 0, \frac{12}{25}) \cdot x_{3} / \left(x_{1} + x_{2} + x_{3} + x_{4}\right) + \operatorname{piecewise}(\frac{3}{125}, k_{24} = 0, \frac{6}{125}) \cdot x_{4} / \left(x_{1} + x_{2} + x_{3} + x_{4}\right)\right) \cdot x_{5} + -1 \cdot k_{26} \cdot \operatorname{piecewise}(\frac{83}{1000}, k_{24} = 0, \frac{91}{1000}) \cdot x_{6} + -1 \cdot k_{26} \cdot \left(\operatorname{piecewise}(\frac{33}{1000}, k_{24} = 0, \frac{33}{1000}) + \operatorname{piecewise}(4 \cdot 10^{-5}, k_{24} = 0, 2 \cdot 10^{-5}) \cdot \left(x_{5} + x_{6} + x_{7}\right)\right) \cdot x_{6}\right) / k_{26}\\
\frac{dx_{7}}{dt} = \left(1 \cdot k_{26} \cdot \operatorname{piecewise}(\frac{83}{1000}, k_{24} = 0, \frac{91}{1000}) \cdot x_{6} + -1 \cdot k_{26} \cdot \left(\operatorname{piecewise}(\frac{33}{1000}, k_{24} = 0, \frac{33}{1000}) + \operatorname{piecewise}(4 \cdot 10^{-5}, k_{24} = 0, 2 \cdot 10^{-5}) \cdot \left(x_{5} + x_{6} + x_{7}\right)\right) \cdot x_{7}\right) / k_{26}