\frac{dx_{1}}{dt} = k_{25} \cdot x_{2} + k_{42} \cdot x_{12} + k_{40} \cdot x_{10} - \left(k_{10} \cdot x_{3} \cdot x_{1} - k_{10} \cdot k_{12} \cdot x_{5} + k_{14} \cdot x_{4} \cdot x_{1} - k_{15} \cdot x_{6}\right)\\ \frac{dx_{2}}{dt} = k_{23} \cdot x_{6} - \left(k_{25} \cdot x_{2} + k_{30} \cdot x_{11} \cdot x_{2} - k_{31} \cdot x_{12} + k_{33} \cdot x_{9} \cdot x_{2} - k_{34} \cdot x_{10}\right)\\ \frac{dx_{3}}{dt} = \left(-1\right) \cdot \left(k_{6} \cdot x_{3} \cdot \operatorname{piecewise}(k_{2} / \left(1 + \exp\left(\left(-80\right) \cdot \left(t - k_{3} - \frac{1}{20}\right)\right)\right), \operatorname{and}\left(t < k_{3} + \frac{3}{20}, t \ge k_{3}\right), k_{2}, t \ge k_{3} + \frac{3}{20}, 0) - k_{6} \cdot k_{8} \cdot x_{4} + k_{10} \cdot x_{3} \cdot x_{1} - k_{10} \cdot k_{12} \cdot x_{5}\right)\\ \frac{dx_{4}}{dt} = k_{6} \cdot x_{3} \cdot \operatorname{piecewise}(k_{2} / \left(1 + \exp\left(\left(-80\right) \cdot \left(t - k_{3} - \frac{1}{20}\right)\right)\right), \operatorname{and}\left(t < k_{3} + \frac{3}{20}, t \ge k_{3}\right), k_{2}, t \ge k_{3} + \frac{3}{20}, 0) - k_{6} \cdot k_{8} \cdot x_{4} + k_{23} \cdot x_{6} - \left(k_{14} \cdot x_{4} \cdot x_{1} - k_{15} \cdot x_{6}\right)\\ \frac{dx_{5}}{dt} = k_{10} \cdot x_{3} \cdot x_{1} - k_{10} \cdot k_{12} \cdot x_{5} - \left(k_{17} \cdot \operatorname{piecewise}(k_{2} / \left(1 + \exp\left(\left(-80\right) \cdot \left(t - k_{3} - \frac{1}{20}\right)\right)\right), \operatorname{and}\left(t < k_{3} + \frac{3}{20}, t \ge k_{3}\right), k_{2}, t \ge k_{3} + \frac{3}{20}, 0) \cdot x_{5} - k_{17} \cdot k_{19} \cdot x_{6}\right)\\ \frac{dx_{6}}{dt} = k_{14} \cdot x_{4} \cdot x_{1} - k_{15} \cdot x_{6} - k_{21} \cdot x_{6} + k_{17} \cdot \operatorname{piecewise}(k_{2} / \left(1 + \exp\left(\left(-80\right) \cdot \left(t - k_{3} - \frac{1}{20}\right)\right)\right), \operatorname{and}\left(t < k_{3} + \frac{3}{20}, t \ge k_{3}\right), k_{2}, t \ge k_{3} + \frac{3}{20}, 0) \cdot x_{5} - k_{17} \cdot k_{19} \cdot x_{6} - k_{23} \cdot x_{6}\\ \frac{dx_{7}}{dt} = k_{21} \cdot x_{6}\\ \frac{dx_{8}}{dt} = 1 / \left(k_{54} \cdot \frac{3011}{5}\right) / \left(1 / \left(k_{54} \cdot k_{55}\right)\right) \cdot \left(k_{44} \cdot x_{9} \cdot k_{4} / \left(k_{45} / \left(1 / \left(k_{54} \cdot \frac{3011}{5}\right) / \left(1 / \left(k_{54} \cdot k_{55}\right)\right)\right) + k_{4}\right) + k_{47} \cdot x_{10} \cdot k_{4} / \left(k_{48} / \left(1 / \left(k_{54} \cdot \frac{3011}{5}\right) / \left(1 / \left(k_{54} \cdot k_{55}\right)\right)\right) + k_{4}\right)\right) - k_{50} \cdot x_{8}\\ \frac{dx_{9}}{dt} = k_{27} \cdot x_{11} \cdot x_{13} - k_{28} \cdot x_{9} + k_{40} \cdot x_{10} - \left(k_{33} \cdot x_{9} \cdot x_{2} - k_{34} \cdot x_{10}\right)\\ \frac{dx_{10}}{dt} = k_{33} \cdot x_{9} \cdot x_{2} - k_{34} \cdot x_{10} + k_{36} \cdot x_{12} \cdot x_{13} - k_{36} \cdot k_{38} \cdot x_{10} - k_{40} \cdot x_{10}\\ \frac{dx_{11}}{dt} = k_{42} \cdot x_{12} - \left(k_{30} \cdot x_{11} \cdot x_{2} - k_{31} \cdot x_{12} + k_{27} \cdot x_{11} \cdot x_{13} - k_{28} \cdot x_{9}\right)\\ \frac{dx_{12}}{dt} = k_{30} \cdot x_{11} \cdot x_{2} - k_{31} \cdot x_{12} - \left(k_{36} \cdot x_{12} \cdot x_{13} - k_{36} \cdot k_{38} \cdot x_{10} + k_{42} \cdot x_{12}\right)\\ \frac{dx_{13}}{dt} = 1 / \left(k_{54} \cdot \frac{3011}{5}\right) / \left(1 / \left(k_{54} \cdot k_{55}\right)\right) \cdot \left(-1\right) \cdot \left(k_{27} \cdot x_{11} \cdot x_{13} - k_{28} \cdot x_{9} + k_{36} \cdot x_{12} \cdot x_{13} - k_{36} \cdot k_{38} \cdot x_{10}\right)