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In this work we review the application of classical and quantum-mechanical atomistic computer simulation tools to the investigation of small ligand interaction with globins. In the first part, studies of ligand migration, with its connection to kinetic association rate constants (k_on), are presented. In the second part, we review studies for a variety of ligands such as O₂, NO, CO, HS⁻, F⁻, and NO₂⁻ showing how the heme structure, proximal effects, and the interactions with the distal amino acids can modulate proteinsingle bondligand binding. The review presents mainly results derived from our previous works on the subject, in the context of other theoretical and experimental studies performed by others. The variety and extent of the presented data yield a clear example of how computer simulation tools have, in the last decade, contributed to our deeper understanding of small ligand interactions with globins. This article is …