\frac{dx_{1}}{dt} = \left(1 \cdot k_{29} \cdot \left(k_{1} \cdot x_{1} \cdot \left(1 - x_{1} / k_{4}\right) + k_{10} \cdot x_{1} \cdot x_{5} / \left(k_{13} + x_{1}\right)\right) + -1 \cdot k_{29} \cdot k_{7} \cdot x_{4} \cdot x_{1}\right) / k_{29}\\
\frac{dx_{2}}{dt} = \left(1 \cdot k_{29} \cdot \left(k_{2} \cdot x_{1} \cdot x_{1} / k_{4} \cdot \left(1 - x_{2} / k_{5}\right) + k_{11} \cdot x_{2} \cdot x_{5} / \left(k_{14} + x_{2}\right)\right) + -1 \cdot k_{29} \cdot \left(k_{16} \cdot x_{2} + k_{8} \cdot x_{4} \cdot x_{2}\right)\right) / k_{29}\\
\frac{dx_{3}}{dt} = \left(1 \cdot k_{29} \cdot k_{3} \cdot x_{3} \cdot \left(1 - x_{3} / k_{6}\right) + -1 \cdot k_{29} \cdot \left(k_{18} \cdot x_{3} \cdot x_{2} + k_{12} \cdot x_{3} \cdot x_{5} / \left(k_{15} + x_{3}\right)\right)\right) / k_{29}\\
\frac{dx_{4}}{dt} = \left(1 \cdot k_{29} \cdot \left(k_{19} + k_{20} \cdot x_{4} \cdot x_{2} / \left(k_{21} + x_{2}\right)\right) + -1 \cdot k_{29} \cdot \left(k_{9} \cdot x_{4} \cdot x_{2} + k_{17} \cdot x_{4} + k_{22} \cdot x_{4} \cdot x_{5} / \left(k_{23} + x_{5}\right)\right)\right) / k_{29}\\
\frac{dx_{5}}{dt} = \left(1 \cdot k_{29} \cdot k_{24} + -1 \cdot k_{29} \cdot \left(k_{28} + k_{25} \cdot x_{1} / \left(k_{13} + x_{1}\right) + k_{26} \cdot x_{2} / \left(k_{14} + x_{2}\right) + k_{27} \cdot x_{3} / \left(k_{15} + x_{3}\right)\right) \cdot x_{5}\right) / k_{29}