Vibrational dynamics of folded proteins is studied using a Gaussian mo
del in which the protein is viewed as a network, residues representing
the junctions, and the connectivity being established by a single par
ameter harmonic potential. Application to seven proteins showed that t
he local packing density plays a major role in determining the vibrati
onal spectrum at time scales of picoseconds. At later times, the secon
dary structure and tertiary context of each residue comes into play. T
he vibrational frequencies obey a universal distribution, confirming p
revious normal mode analyses.