Theoretical Characterization of
-Helix
and
-Hairpin
Folding Kinetics
Isabella Daidone,
Marco D'Abramo,
Alfredo Di Nola,
and Andrea Amadei*
Contribution from the Department of Chemistry, University of Rome "La Sapienza", P.le Aldo Moro 5, 00185 Rome, Italy, and Dipartimento di Scienze e Tecnologie Chimiche, University of Rome "Tor Vergata", via della Ricerca Scientifica 1, I-00133 Rome, Italy
Received May 24, 2005
Abstract:
By means of the conformational free energy surface and
corresponding diffusion coefficients, as obtained by long time scale
atomistic molecular dynamics simulations (s
time scale), we model the folding kinetics of
-helix
and
-hairpin
peptides as a diffusive process over the free energy surface. The two
model systems studied in this paper (the
-helical
temporin L and the
-hairpin
prion protein H1 peptide) exhibit a funnel-like almost barrierless
free energy profile, leading to nonexponential folding kinetics
matching rather well the available experimental data. Moreover, using
the free energy profile provided by Muñoz et al. [Muñoz
et al. Nature 1997, 390: 196-199], this model
was also applied to reproduce the two-state folding kinetics of the
C-terminal
-hairpin
of protein GB1, yielding an exponential folding kinetics with a time
constant (~5
s)
in excellent agreement with the experimentally observed one (~6
s).
Finally, the folding kinetics obtained by solving the diffusion
equation, considering either a one-dimensional or a two-dimensional
free energy surface, are also compared in order to understand the
relevance of the possible kinetic coupling between conformational
degrees of freedom in the folding process.