Background: The classical picture of the hydrophobic stabilization of
proteins invokes a resemblance between the protein interior and nonpol
ar solvents, but the extent to which this is the case has often been q
uestioned. The protein interior is believed to be at least as tightly
packed as organic crystals, and was shown to have very low compressibi
lity. There is also evidence that these properties are not uniform thr
oughout the protein, and conflicting views exist on the nature of side
chain packing and on its influence on the properties of the protein. R
esults: In order to probe the physical properties of the protein, the
free energy associated with the formation of empty cavities has been e
valuated for two proteins: barnase and T4 lysozyme. To this end, the l
ikelihood of encountering such cavities was computed from room tempera
ture molecular dynamics trajectories of these proteins in water. The f
ree energy was evaluated in each protein taken as a whole and in submo
lecular regions. The computed free energies yielded information on the
manner in which empty space is distributed in the system, while the l
atter undergoes thermal motion, a property hitherto not analyzed in he
terogeneous media such as proteins. Our results showed that the free e
nergy of cavity formation is higher in proteins than in both water and
hexane, providing direct evidence that the native protein medium diff
ers in fundamental ways from the two liquids. Furthermore, although th
e packing density was found to be higher in nonpolar regions of the pr
otein than in polar ones, the free energy cost of forming atomic size
cavities is significantly lower in nonpolar regions, implying that the
se regions contain larger chunks of empty space, thereby increasing th
e likelihood of containing atomic size packing defects. These larger e
mpty spaces occur preferentially where buried hydrophobic sidechains b
elonging to secondary structures meet one another. These particular lo
cations also appear to be more compressible than other parts of the co
re or surface of the protein. Conclusions: The cavity free energy calc
ulations described here provide a much more detailed physical picture
of the protein matrix than volume and packing calculations. According
to this picture, the packing of hydrophobic sidechains is tight in the
interior of the protein, but far from uniform. In particular, the pac
king is tighter in regions where the backbone forms less regular hydro
gen-bonding interactions than at interfaces between secondary structur
e elements, where such interactions are fully developed. This may have
important implications on the role of sidechain packing in protein fo
lding and stability.