The goals of this study were to assess the extent to which bulk genomic DNA sequences contribute to their own packaging in nucleosomes and to reveal the relationship between nucleosome packaging and positioning. Using a competitive nucleosome reconstitution assay, we found that at least 95% of bulk DNA sequences have an affinity for histone octamer in nucleosomes that is similar to that of randomly synthesized DNA; they contribute little to their own packaging at the level of individual nucleosomes. An equation was developed that relates the measured free energy to the fractional occupancy of specific nucleosome positions. Evidently, the bulk of eukaryotic genomic DNA is also not evolved or constrained for significant sequence-directed nucleosome positioning at the level of individual nucleosomes. Implications for gene regulation in vivo are discussed.DNA in nucleosomes is tightly bent in comparison to its persistence length, a length scale of DNA stiffness (1). Substantial mechanical work must be done against the bending stiffness to package DNA in nucleosomes; this mechanical work is done at the expense of the favorable free energy of histone-DNA interactions and subtracts from the net thermodynamic stability of the particles. The free energies involved are surprisingly large. Taking the persistence length of DNA to be 50 nm and assuming that DNA in a nucleosome is uniformly bent in a circular trajectory at a radius of curvature of 4.4 nm leads to an estimated free energy cost (1) for bending DNA in a nucleosome of Ϸ75 kcal⅐mol Ϫ1 . Indeed, because of previous estimates such as this, it was once considered remarkable that nucleosome exist at all. Analogous problems exist for DNA twist.The discovery that certain DNA sequences are naturally bent (2) suggested that eukaryotic genomic DNA sequences might be evolved or constrained to facilitate their packaging in nucleosomes (3, 4). Moreover, one might anticipate the existence of a relationship between the free energy of nucleosomal packaging and the phenomenon of nucleosome positioning (such an equation is developed in the present study), suggesting the possibility that nucleosome positioning signals may be encoded in genomic DNA. This idea is interesting in part because of the relationship between nucleosome positioning and gene regulation (5).Results from several studies support the hypothesis that genomes are evolved to facilitate their own packaging. (i) Analyses of DNA fragments present in isolated nucleosome core particles, chromatosomes, and dinucleosomes reveal nonrandom periodic distributions of certain dinucleotides and longer sequences, with particular relative phases (see ref. 6 and references therein). The results suggest that such sequences facilitate the bending of DNA that is necessary for nucleosome formation and that the bending may be produced by an anisotropic flexibility of the AϩT-rich and GϩC-rich regions.(ii) Shrader and Crothers (7, 8) designed sequences de novo that obeyed these rules. The designed sequences were found to bind his...