Before revision:  We also derive a threshold for the capping rate, below which zeroth order characteristics are predicted to dominate the dynamics of the network for all accessible filament densities. For capping rates above this threshold, autocatalytic growth is predicted at sufficiently low filament density .
After revision:  We also derive a threshold for the capping rate, below which zeroth order characteristics are predicted to dominate the dynamics of the network for all accessible filament numbers. Together, this allows cells to grow stable actin networks over a large range of different conditions .