Accessibility to internal cavities and ligand binding sites monitored by protein crystallographic thermal factors

Protein structures are flexible both in solution and in the solid state. X-ray crystallographically determined thermal factors monitor the flexibility of protein atoms. A method utilizing such factors is proposed to delineate protein regions through which a ligand can exchange between binding site and bulk solvent. It is based on the assumption that thermally excited protein regions are excellent candidates for opening a ligand channel. Computationally simple and inexpensive, the method analyzes directions from which thermal factors can propagate within the protein, resulting in thermal motion paths (TMPs). Applications to engineered T4 lysozymes, where an artificial internal cavity can host hydrophobic molecules, and to sperm whale myoglobins, where the active site is completely buried, yielded results in agreement with other independent structural observations and with previous hypotheses. Further new features could also be suggested. The proposed TMP analysis could aid molecular dynamics simulation studies as well as time-resolved and site-directed mutagenesis experimental studies, especially given its modest computational expense and its direct roots in experimental results based on thermal factors determined in high-resolution crystallographic studies.