\frac{dx_{1}}{dt} = \left(-1 \cdot k_{10} \cdot k_{2} \cdot x_{1} / \left(k_{1} + x_{1}\right) + -1 \cdot k_{10} \cdot k_{4} \cdot x_{1} / \left(k_{3} + x_{1}\right) + -1 \cdot k_{10} \cdot k_{6} \cdot x_{1} / \left(k_{5} + x_{1}\right)\right) / k_{10}\\
\frac{dx_{2}}{dt} = \left(\frac{287}{500} \cdot k_{10} \cdot k_{2} \cdot x_{1} / \left(k_{1} + x_{1}\right) + \frac{751}{1000} \cdot k_{10} \cdot k_{4} \cdot x_{1} / \left(k_{3} + x_{1}\right) + \frac{17}{250} \cdot k_{10} \cdot k_{6} \cdot x_{1} / \left(k_{5} + x_{1}\right) + -1 \cdot k_{10} \cdot k_{8} \cdot x_{2} / \left(k_{7} + x_{2}\right)\right) / k_{10}\\
\frac{dx_{3}}{dt} = \left(\frac{18}{125} \cdot k_{10} \cdot k_{2} \cdot x_{1} / \left(k_{1} + x_{1}\right) + \frac{23}{1000} \cdot k_{10} \cdot k_{4} \cdot x_{1} / \left(k_{3} + x_{1}\right) + \frac{59}{1000} \cdot k_{10} \cdot k_{6} \cdot x_{1} / \left(k_{5} + x_{1}\right) + -1 \cdot k_{10} \cdot \frac{27}{200} \cdot k_{8} \cdot x_{3} / \left(k_{7} + x_{3}\right)\right) / k_{10}\\
\frac{dx_{4}}{dt} = \left(\frac{1}{20} \cdot k_{10} \cdot k_{2} \cdot x_{1} / \left(k_{1} + x_{1}\right) + \frac{1}{40} \cdot k_{10} \cdot k_{4} \cdot x_{1} / \left(k_{3} + x_{1}\right) + \frac{17}{125} \cdot k_{10} \cdot k_{6} \cdot x_{1} / \left(k_{5} + x_{1}\right)\right) / k_{10}\\
\frac{dx_{5}}{dt} = \left(\frac{3}{250} \cdot k_{10} \cdot k_{2} \cdot x_{1} / \left(k_{1} + x_{1}\right) + \frac{3}{200} \cdot k_{10} \cdot k_{4} \cdot x_{1} / \left(k_{3} + x_{1}\right) + \frac{107}{1000} \cdot k_{10} \cdot k_{6} \cdot x_{1} / \left(k_{5} + x_{1}\right)\right) / k_{10}\\
\frac{dx_{6}}{dt} = \left(\frac{81}{500} \cdot k_{10} \cdot k_{2} \cdot x_{1} / \left(k_{1} + x_{1}\right) + \frac{127}{1000} \cdot k_{10} \cdot k_{4} \cdot x_{1} / \left(k_{3} + x_{1}\right) + \frac{109}{500} \cdot k_{10} \cdot k_{6} \cdot x_{1} / \left(k_{5} + x_{1}\right)\right) / k_{10}\\
\frac{dx_{7}}{dt} = \left(\frac{1}{25} \cdot k_{10} \cdot k_{2} \cdot x_{1} / \left(k_{1} + x_{1}\right) + \frac{13}{500} \cdot k_{10} \cdot k_{4} \cdot x_{1} / \left(k_{3} + x_{1}\right) + \frac{109}{500} \cdot k_{10} \cdot k_{6} \cdot x_{1} / \left(k_{5} + x_{1}\right)\right) / k_{10}\\
\frac{dx_{8}}{dt} = \left(\frac{7}{500} \cdot k_{10} \cdot k_{2} \cdot x_{1} / \left(k_{1} + x_{1}\right) + \frac{9}{500} \cdot k_{10} \cdot k_{4} \cdot x_{1} / \left(k_{3} + x_{1}\right) + \frac{49}{500} \cdot k_{10} \cdot k_{6} \cdot x_{1} / \left(k_{5} + x_{1}\right)\right) / k_{10}\\
\frac{dx_{9}}{dt} = \left(\frac{1}{250} \cdot k_{10} \cdot k_{2} \cdot x_{1} / \left(k_{1} + x_{1}\right) + \frac{2}{125} \cdot k_{10} \cdot k_{4} \cdot x_{1} / \left(k_{3} + x_{1}\right) + \frac{97}{1000} \cdot k_{10} \cdot k_{6} \cdot x_{1} / \left(k_{5} + x_{1}\right)\right) / k_{10}\\
\frac{dx_{10}}{dt} = \left(1 \cdot k_{10} \cdot k_{8} \cdot x_{2} / \left(k_{7} + x_{2}\right) + 1 \cdot k_{10} \cdot \frac{27}{200} \cdot k_{8} \cdot x_{3} / \left(k_{7} + x_{3}\right)\right) / k_{10}