  Proteins experience a wide variety of conformational dynamics that can be
crucial for facilitating their diverse functions. How is the intrinsic
flexibility required for these motions encoded in their three-dimensional
structures? Here, the overall flexibility of a protein is demonstrated to be
tightly coupled to the total amount of surface area buried within its fold. A
simple proxy for this, the relative solvent accessible surface area (Arel),
therefore shows excellent agreement with independent measures of global protein
flexibility derived from various experimental and computational methods.
Application of Arel on a large scale demonstrates its utility by revealing
unique sequence and structural properties associated with intrinsic
flexibility. In particular, flexibility as measured by Arel shows little
correspondence with intrinsic disorder, but instead tends to be associated with
multiple domains and increased {\alpha}- helical structure. Furthermore, the
apparent flexibility of monomeric proteins is found to be useful for
identifying quaternary structure errors in published crystal structures. There
is also a strong tendency for the crystal structures of more flexible proteins
to be solved to lower resolutions. Finally, local solvent accessibility is
shown to be a primary determinant of local residue flexibility. Overall this
work provides both fundamental mechanistic insight into the origin of protein
flexibility and a simple, practical method for predicting flexibility from
protein structures.
