Addendum to "Quantitative measure of folding in two-dimensional polymers".
Recently, we introduced a measure of folding complexity for two-dimensional polymers, N macro, the mean radial intersection number [Phys. Rev. E 59, 4209 (1999)]. In this addendum, we expand on three aspects of the previous work. First, we provide an analytical expression for N macro that is valid for two-dimensional networks. Second, we show that the power-law scaling N macro approximately equal to n(beta), with n the number of monomers, has a different critical exponent for random and self-avoiding walks. Finally, we find that the folding features in optimized projections of experimental three-dimensional (native) protein backbones fall between the latter limit models.
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Département de Chimie et Biochimie, Laurentian University, Ramsey Lake Road, Sudbury, Ontario, Canada P3E 2C6. Gustavo@nickel.laurentian.ca