Although numerous experiments indicate that the chromatin fiber displays salt-dependent conformations, the associated molecular mechanism remains unclear. Here, we apply an irregular Discrete Surface Charge Optimization (DiSCO) model of the nucleosome with all histone tails incorporated to describe by Monte Carlo simulations salt-dependent rearrangements of a nucleosomal array with 12 nucleosomes. The ensemble of nucleosomal array conformations display salt-dependent condensation in good agreement with hydrodynamic measurements and suggest that the array adopts highly irregular 3D zig-zag conformations at high (physiological) salt concentrations and transitions into the extended ''beads-on-a-string'' conformation at low salt. Energy analyses indicate that the repulsion among linker DNA leads to this extended form, whereas internucleosome attraction drives the folding at high salt. The balance between these two contributions determines the salt-dependent condensation. Importantly, the internucleosome and linker DNA-nucleosome attractions require histone tails; we find that the H3 tails, in particular, are crucial for stabilizing the moderately folded fiber at physiological monovalent salt.chromatin modeling ͉ irregular 3D zig-zag ͉ Discrete Surface Charge Optimization model C hromatin folding and the dynamic interplay between chromatin structures and various cellular factors directly regulate fundamental gene expression and silencing processes (1-4). Extensive studies have probed the structural and dynamic properties of chromatin and the molecular mechanisms that determine these properties (5-8). Nonetheless, questions remain concerning how a chain of nucleosomes connected by linker DNA folds into a condensed 30-nm chromatin fiber under physiological conditions (9) and what the exact arrangements of nucleosomes in the 30-nm fiber are (6). Two principal architectures of fiber arrangement proposed are the solenoid and zig-zag models. They differ significantly in how the linker DNA is arranged within the condensed chromatin fiber. In the solenoid model, the linker DNA is bent such that the consecutive nucleosomes interact with each other and form a helix (10-14); in the zig-zag model, the linker DNA remains straight and crosses the fiber axis so that the consecutive nucleosomes appear at the opposite side of the fiber axis (5, 15-18).The structure of chromatin strongly depends on the salt environment, both in terms of the valence of the ions and their concentration in solution (1). At low salt concentrations, chromatin adopts the extended ''beads-on-a-string'' conformation, whereas at high salt concentrations it folds into compact forms. In the presence of linker histones (H1 or H5) under physiological salt conditions, chromatin forms the folded 30-nm fiber. The histone tails are known to be crucial for the folding of chromatin fibers (19-21; reviewed in ref. 22). The tail domains, accounting for Ϸ50% of the positive charges of the histone octamer, are located at the N-terminal portions of H2A, H2B, H3, and H4, and ...