Figure 2.

Dynamical regimes and associated filament-link force ${\mathbf{f}}_{\ell }\left(\mathbf{t}\right)$. The dynamical regimes of the system are shown in their most restrictive form (see text for details). Coupled ($v_p^0\sqrt{{\rho }_f}/k_d^0\gg 1$) and decoupled ($v_p^0\sqrt{{\rho }_f}/k_d^0\ll 1$) regimes are separated by the red line (continuous and dotted), which corresponds to $v_p^0/k_d^0=1/\sqrt{{\rho }_f}$. In the decoupled regime, the link force is dominated by either the filament-link deformation ($v_p^0/k_d^0\gg \kappa /E$; the link-dominated decoupled regime) or the network elasticity ($v_p^0/k_d^0\ll \kappa /E$; the elasticity-dominated decoupled regime), in which case $f_{\ell }\left(t\right)=\kappa v_{p}t$ and $f_{\ell }\left(t\right)={\left(E{v}_{p}t\right)}^2$, respectively. Similarly, in the coupled regime, the link force is dominated by the filament-link deformation (${\rho }_f{v}_p^0\kappa /k_d^{0}E\ll 1$; the link-dominated coupled regime) or the network elasticity (${\rho }_f{v}_p^0\kappa /k_d^{0}E\gg 1$; the elasticity-dominated coupled regime), in which case $f_{\ell }\left(t\right)=\kappa v_{p}t$ and $f_{\ell }=E/{\rho }_a$, respectively. The yellow and blue regions correspond to the parameter space where the resistive force is dominated by the link and network deformations, respectively. (In color online.)