\[\begin{equation} \begin{array}{cc} \Delta L \approx 2N\theta_{ori}l_{network} \end{array} \end{equation}\]
A ratio of the bending angle to the deployment ratio can be derived from (16) and (17):
\[\begin{equation} \begin{array}{cc} \frac{\phi}{\lambda}=\frac{\phi}{\Delta L / L_0}\\ \\ =\frac{L_0}{2l_{network}}\left(\frac{\theta_{free}}{\theta_{ori}}-1\right)\\ \\ =CA_0\\ \end{array} \end{equation}\]
Where we defined bending-to deployment ratio factor  \(C\) as:
\[C=\frac{1}{2}\left(\frac{\theta_{free}}{\theta_{ori}}-1\right)\]
and \(A_0=\frac{L_0}{l_{network}}\)is an initial aspect ratio.