Theoretical efforts have focused on scaling approaches, which extend classical randomwalk and "blob" arguments to bottlebrush architectures. Birshtein, et al. initially predicted straightforward R ∼ N 3/5 bb scaling in both θ and good solvents, based on a "superblob" argument that arose from the prediction that p /D ∼ O (1). Indeed, the dependence of R on N sc , f , and solvent quality was predicted to be weak. This shows some inconsistency with later simulation and theoretical work, however Monte Carlo simulations have placed the backbone size exponent to be in the range of 0.6 -0.7. Alternative scaling arguments by Fredrickson, who considered the related case of surfactant-associated polymer chains, predicted the effects of progressively increasing the grafting density f as moving through three regimes; a low grafting density where the bottlebrush appears coil-like (f N ) where the conformation is still coillike yet expanded locally due to the side-chain interactions, and a high grafting density (f