\frac{dx_{1}}{dt} = \left(1 \cdot k_{51} \cdot \left(k_{1} \cdot \left(1 + k_{36} \cdot k_{33} \cdot t^{k_{34}} / \left(k_{35}^{k_{34}} + t^{k_{34}}\right) / k_{44}^{k_{38}}\right) / \left(1 + k_{33} \cdot t^{k_{34}} / \left(k_{35}^{k_{34}} + t^{k_{34}}\right) / k_{44}^{k_{38}}\right) + k_{2} \cdot x_{6}\right) \cdot \left(1 + \frac{1}{10} / \frac{3}{10} \cdot k_{33} \cdot t^{k_{34}} / \left(k_{35}^{k_{34}} + t^{k_{34}}\right) / k_{45}^{k_{41}}\right) / \left(1 + k_{33} \cdot t^{k_{34}} / \left(k_{35}^{k_{34}} + t^{k_{34}}\right) / k_{45}^{k_{41}}\right) + -1 \cdot k_{51} \cdot x_{1} \cdot \ln\left(2\right) / k_{3}\right) / k_{51}\\
\frac{dx_{2}}{dt} = 1 \cdot k_{51} \cdot 1000000000 / \left(\frac{6023}{1000} \cdot 10^{23}\right) \cdot k_{49} \cdot \frac{201}{10} \cdot 3600 \cdot x_{2} / \left(k_{5} + x_{2}\right) / k_{51}\\
\frac{dx_{3}}{dt} = \left(1 \cdot k_{51} \cdot k_{10} \cdot k_{6} / \left(1 + k_{9} \cdot x_{4} / k_{43}\right) \cdot \left(x_{2} + x_{8}\right) / \left(k_{7} + x_{2} + x_{8}\right) \cdot x_{12} / \left(2 \cdot \left(k_{11} + x_{12}\right)\right) + -1 \cdot k_{51} \cdot x_{3} \cdot \ln\left(2\right) / k_{12}\right) / k_{51}\\
\frac{dx_{4}}{dt} = \left(1 \cdot k_{51} \cdot \left(k_{13} \cdot \left(1 + k_{36} \cdot k_{33} \cdot t^{k_{34}} / \left(k_{35}^{k_{34}} + t^{k_{34}}\right) / k_{44}^{k_{38}}\right) / \left(1 + k_{33} \cdot t^{k_{34}} / \left(k_{35}^{k_{34}} + t^{k_{34}}\right) / k_{44}^{k_{38}}\right) + k_{14} \cdot x_{3}\right) \cdot \left(1 + \frac{1}{10} / \frac{3}{10} \cdot k_{33} \cdot t^{k_{34}} / \left(k_{35}^{k_{34}} + t^{k_{34}}\right) / k_{45}^{k_{41}}\right) / \left(1 + k_{33} \cdot t^{k_{34}} / \left(k_{35}^{k_{34}} + t^{k_{34}}\right) / k_{45}^{k_{41}}\right) + -1 \cdot k_{51} \cdot x_{4} \cdot \ln\left(2\right) / k_{15}\right) / k_{51}\\
\frac{dx_{5}}{dt} = \left(1 \cdot k_{51} \cdot \left(k_{16} \cdot x_{3} + 3600 \cdot \frac{89}{10} \cdot 10^{-11} \cdot x_{6}\right) \cdot \left(1 + \frac{1}{10} / \frac{3}{10} \cdot k_{33} \cdot t^{k_{34}} / \left(k_{35}^{k_{34}} + t^{k_{34}}\right) / k_{45}^{k_{41}}\right) / \left(1 + k_{33} \cdot t^{k_{34}} / \left(k_{35}^{k_{34}} + t^{k_{34}}\right) / k_{45}^{k_{41}}\right) + -1 \cdot k_{51} \cdot x_{5} \cdot \ln\left(2\right) / k_{18}\right) / k_{51}\\
\frac{dx_{6}}{dt} = 1 \cdot k_{51} \cdot k_{19} \cdot x_{5} \cdot \left(1 + k_{36} \cdot k_{33} \cdot t^{k_{34}} / \left(k_{35}^{k_{34}} + t^{k_{34}}\right) / k_{44}^{k_{38}}\right) / \left(1 + k_{33} \cdot t^{k_{34}} / \left(k_{35}^{k_{34}} + t^{k_{34}}\right) / k_{44}^{k_{38}}\right) / k_{51}\\
\frac{dx_{7}}{dt} = \left(1 \cdot k_{51} \cdot k_{20} \cdot x_{6} \cdot \left(1 + \frac{1}{10} / \frac{3}{10} \cdot k_{33} \cdot t^{k_{34}} / \left(k_{35}^{k_{34}} + t^{k_{34}}\right) / k_{45}^{k_{41}}\right) / \left(1 + k_{33} \cdot t^{k_{34}} / \left(k_{35}^{k_{34}} + t^{k_{34}}\right) / k_{45}^{k_{41}}\right) + -1 \cdot k_{51} \cdot x_{7} \cdot \ln\left(2\right) / k_{21}\right) / k_{51}\\
\frac{dx_{8}}{dt} = 1 \cdot k_{51} \cdot 1000000000 / \left(\frac{6023}{1000} \cdot 10^{23}\right) \cdot k_{49} \cdot \frac{201}{10} \cdot 3600 \cdot x_{7} / \left(k_{5} + x_{7}\right) / k_{51}\\
\frac{dx_{9}}{dt} = \left(1 \cdot k_{51} \cdot \left(1 + \frac{1}{10} / \frac{3}{10} \cdot k_{33} \cdot t^{k_{34}} / \left(k_{35}^{k_{34}} + t^{k_{34}}\right) / k_{45}^{k_{41}}\right) / \left(1 + k_{33} \cdot t^{k_{34}} / \left(k_{35}^{k_{34}} + t^{k_{34}}\right) / k_{45}^{k_{41}}\right) \cdot \left(k_{22} \cdot \left(1 + k_{36} \cdot k_{33} \cdot t^{k_{34}} / \left(k_{35}^{k_{34}} + t^{k_{34}}\right) / k_{44}^{k_{38}}\right) / \left(1 + k_{33} \cdot t^{k_{34}} / \left(k_{35}^{k_{34}} + t^{k_{34}}\right) / k_{44}^{k_{38}}\right) + k_{23} \cdot x_{10} / \left(k_{24} + x_{10}\right)\right) + -1 \cdot k_{51} \cdot x_{9} \cdot \ln\left(2\right) / k_{25}\right) / k_{51}\\
\frac{dx_{10}}{dt} = 1 \cdot k_{51} \cdot 1000000000 / \left(\frac{6023}{1000} \cdot 10^{23}\right) \cdot k_{49} \cdot 46 \cdot 3600 \cdot x_{9} / \left(k_{27} + x_{9}\right) / k_{51}\\
\frac{dx_{11}}{dt} = \left(1 \cdot k_{51} \cdot \left(k_{28} \cdot \left(1 + k_{36} \cdot k_{33} \cdot t^{k_{34}} / \left(k_{35}^{k_{34}} + t^{k_{34}}\right) / k_{44}^{k_{38}}\right) / \left(1 + k_{33} \cdot t^{k_{34}} / \left(k_{35}^{k_{34}} + t^{k_{34}}\right) / k_{44}^{k_{38}}\right) + 3600 \cdot 5 \cdot 10^{-6} \cdot x_{3}\right) \cdot \left(1 + \frac{1}{10} / \frac{3}{10} \cdot k_{33} \cdot t^{k_{34}} / \left(k_{35}^{k_{34}} + t^{k_{34}}\right) / k_{45}^{k_{41}}\right) / \left(1 + k_{33} \cdot t^{k_{34}} / \left(k_{35}^{k_{34}} + t^{k_{34}}\right) / k_{45}^{k_{41}}\right) + -1 \cdot k_{51} \cdot x_{11} \cdot \ln\left(2\right) / k_{30}\right) / k_{51}\\
\frac{dx_{12}}{dt} = \left(1 \cdot k_{51} \cdot k_{31} \cdot x_{11} + -1 \cdot k_{51} \cdot x_{12} \cdot \ln\left(2\right) / k_{32}\right) / k_{51}