\frac{dx_{1}}{dt} = \left(-1 \cdot k_{25} \cdot \left(k_{2} \cdot x_{1} \cdot x_{2} - k_{3} \cdot x_{3}\right) + 1 \cdot k_{25} \cdot k_{7} \cdot x_{7}^{2} + -1 \cdot k_{25} \cdot \left(k_{18} \cdot x_{1} - k_{18} \cdot x_{13}\right)\right) / k_{25}\\ \frac{dx_{2}}{dt} = \left(-1 \cdot k_{25} \cdot \left(k_{2} \cdot x_{1} \cdot x_{2} - k_{3} \cdot x_{3}\right) + 1 \cdot k_{25} \cdot k_{5} \cdot x_{5} \cdot x_{4} + -1 \cdot k_{25} \cdot k_{6} \cdot x_{2} \cdot x_{7}\right) / k_{25}\\ \frac{dx_{3}}{dt} = \left(1 \cdot k_{25} \cdot \left(k_{2} \cdot x_{1} \cdot x_{2} - k_{3} \cdot x_{3}\right) + -1 \cdot k_{25} \cdot k_{4} \cdot x_{3} \cdot x_{4} + 1 \cdot k_{25} \cdot k_{8} \cdot x_{19} \cdot x_{7}\right) / k_{25}\\ \frac{dx_{4}}{dt} = \left(-1 \cdot k_{25} \cdot k_{4} \cdot x_{3} \cdot x_{4} + -1 \cdot k_{25} \cdot k_{5} \cdot x_{5} \cdot x_{4} + -1 \cdot k_{25} \cdot \left(k_{19} \cdot x_{4} - k_{19} \cdot x_{18}\right)\right) / k_{25}\\ \frac{dx_{5}}{dt} = \left(1 \cdot k_{25} \cdot k_{4} \cdot x_{3} \cdot x_{4} + -1 \cdot k_{25} \cdot k_{5} \cdot x_{5} \cdot x_{4}\right) / k_{25}\\ \frac{dx_{6}}{dt} = \left(1 \cdot k_{25} \cdot k_{4} \cdot x_{3} \cdot x_{4} + 1 \cdot k_{25} \cdot k_{5} \cdot x_{5} \cdot x_{4} + -1 \cdot k_{25} \cdot \left(k_{20} \cdot x_{6} - k_{20} \cdot x_{17}\right)\right) / k_{25}\\ \frac{dx_{7}}{dt} = \left(-1 \cdot k_{25} \cdot k_{6} \cdot x_{2} \cdot x_{7} + -2 \cdot k_{25} \cdot k_{7} \cdot x_{7}^{2} + -1 \cdot k_{25} \cdot k_{8} \cdot x_{19} \cdot x_{7} + -1 \cdot k_{25} \cdot \left(k_{21} \cdot x_{7} - k_{21} \cdot x_{15}\right) + 2 \cdot k_{25} \cdot k_{22} \cdot x_{10} / k_{1} \cdot \left(1 + x_{10} / k_{1}\right) \cdot x_{9} / \left(\left(k_{23} + 1 + x_{10} / k_{1}^{2}\right) \cdot \left(k_{24} + x_{9}\right)\right)\right) / k_{25}\\ \frac{dx_{8}}{dt} = -2 \cdot k_{25} \cdot k_{7} \cdot x_{7}^{2} / k_{25}\\ \frac{dx_{9}}{dt} = \left(1 \cdot k_{25} \cdot k_{7} \cdot x_{7}^{2} + 1 \cdot k_{25} \cdot k_{8} \cdot x_{19} \cdot x_{7} + -1 \cdot k_{25} \cdot \left(k_{17} \cdot x_{9} - k_{17} \cdot x_{11}\right) + -2 \cdot k_{25} \cdot k_{22} \cdot x_{10} / k_{1} \cdot \left(1 + x_{10} / k_{1}\right) \cdot x_{9} / \left(\left(k_{23} + 1 + x_{10} / k_{1}^{2}\right) \cdot \left(k_{24} + x_{9}\right)\right)\right) / k_{25}\\ \frac{dx_{10}}{dt} = \left(-1 \cdot k_{26} \cdot k_{9} \cdot x_{10} \cdot x_{11} + -1 \cdot k_{26} \cdot k_{12} \cdot x_{17} \cdot x_{10} + 1 \cdot k_{26} \cdot k_{14} + -1 \cdot k_{25} \cdot k_{22} \cdot x_{10} / k_{1} \cdot \left(1 + x_{10} / k_{1}\right) \cdot x_{9} / \left(\left(k_{23} + 1 + x_{10} / k_{1}^{2}\right) \cdot \left(k_{24} + x_{9}\right)\right)\right) / k_{26}\\ \frac{dx_{11}}{dt} = \left(-1 \cdot k_{26} \cdot k_{9} \cdot x_{10} \cdot x_{11} + -1 \cdot k_{26} \cdot k_{10} \cdot x_{14} \cdot x_{11} + 1 \cdot k_{26} \cdot k_{11} \cdot x_{15}^{2} + 1 \cdot k_{26} \cdot k_{15} + -1 \cdot k_{26} \cdot k_{16} \cdot x_{11} + 1 \cdot k_{25} \cdot \left(k_{17} \cdot x_{9} - k_{17} \cdot x_{11}\right)\right) / k_{26}\\ \frac{dx_{12}}{dt} = \left(1 \cdot k_{26} \cdot k_{9} \cdot x_{10} \cdot x_{11} + 1 \cdot k_{26} \cdot k_{10} \cdot x_{14} \cdot x_{11} + 1 \cdot k_{25} \cdot k_{22} \cdot x_{10} / k_{1} \cdot \left(1 + x_{10} / k_{1}\right) \cdot x_{9} / \left(\left(k_{23} + 1 + x_{10} / k_{1}^{2}\right) \cdot \left(k_{24} + x_{9}\right)\right)\right) / k_{26}\\ \frac{dx_{13}}{dt} = \left(1 \cdot k_{26} \cdot k_{9} \cdot x_{10} \cdot x_{11} + 1 \cdot k_{26} \cdot k_{11} \cdot x_{15}^{2} + 1 \cdot k_{25} \cdot \left(k_{18} \cdot x_{1} - k_{18} \cdot x_{13}\right)\right) / k_{26}\\ \frac{dx_{14}}{dt} = \left(-1 \cdot k_{26} \cdot k_{10} \cdot x_{14} \cdot x_{11} + 1 \cdot k_{26} \cdot k_{12} \cdot x_{17} \cdot x_{10} + -2 \cdot k_{26} \cdot k_{13} \cdot x_{14}^{2}\right) / k_{26}\\ \frac{dx_{15}}{dt} = \left(1 \cdot k_{26} \cdot k_{10} \cdot x_{14} \cdot x_{11} + -2 \cdot k_{26} \cdot k_{11} \cdot x_{15}^{2} + 1 \cdot k_{25} \cdot \left(k_{21} \cdot x_{7} - k_{21} \cdot x_{15}\right)\right) / k_{26}\\ \frac{dx_{16}}{dt} = -2 \cdot k_{26} \cdot k_{11} \cdot x_{15}^{2} / k_{26}\\ \frac{dx_{17}}{dt} = \left(-1 \cdot k_{26} \cdot k_{12} \cdot x_{17} \cdot x_{10} + 1 \cdot k_{25} \cdot \left(k_{20} \cdot x_{6} - k_{20} \cdot x_{17}\right)\right) / k_{26}\\ \frac{dx_{18}}{dt} = \left(1 \cdot k_{26} \cdot k_{12} \cdot x_{17} \cdot x_{10} + 1 \cdot k_{25} \cdot \left(k_{19} \cdot x_{4} - k_{19} \cdot x_{18}\right)\right) / k_{26}\\ \frac{dx_{19}}{dt} = \left(1 \cdot k_{25} \cdot k_{6} \cdot x_{2} \cdot x_{7} + -1 \cdot k_{25} \cdot k_{8} \cdot x_{19} \cdot x_{7}\right) / k_{25}\\ \frac{dx_{20}}{dt} = 1 \cdot k_{26} \cdot k_{13} \cdot x_{14}^{2} / k_{26}