Before revision:  These subnetworks can be read directly from \mathcal{G} without performing calculations }  on model equations  .
After revision:  These subnetworks can be read directly from \mathcal{G} without performing calculations } Structural factors correspond to feedforward motifs and appendage factors correspond to feedback motifs. Finally, we discover an algorithm for determining the homeostatic subnetwork motif corresponding to each factor of \det(H) without performing numerical simulations on model equations .