The solution structures of the reduced and oxidized forms of the
cytochrome c are used to reevaluate the
reorganization energy for oxidation of cytochrome c.
This is achieved by using the linear response
approximation in concert with the NMR structures as pseudo energy
constraints. Alternative estimates, obtained
using a free energy perturbation approach employing umbrella sampling
and a continuum dielectric approach,
are also provided. The reorganization energy obtained is larger
than that previously estimated using crystal
structures of the protein. Nevertheless, the present estimate
remains significantly smaller than the corresponding
reorganization energy in water (9−15 kcal
mol-1 as compared to ≈37 kcal
mol-1 in water) and the protein
contribution to the reorganization energy is only 8−10 kcal
mol-1. This provides further support for
the
proposal that proteins assist in electron transfer reactions by
reducing the relevant reorganization energies.
The solution structures are also used to estimate the redox
potential of cytochrome c. Several strategies
are
employed including a newly formulated scaled linear response
approximation. The calculations agree
reasonably well with the observed redox potential. Analysis of the
group contributions to the reorganization
energy and redox potential reveals a clear energetic linkage between
these fundamental parameters of electron
transfer and a redox-dependent surface feature likely to influence
recognition of cytochrome c by its redox
partners. Specifically, the rearrangement of Ile81 and other
residues at the heme edge upon a change in
oxidation state gives rise to a large contribution to both the redox
potential and the reorganization energy.
Finally this work is used to explore and illustrate the meaning of
macroscopic dielectric models. It is shown
that the “proper” dielectric constant depends strongly on the model
used since it basically represents the
implicit contributions of the given model rather than a fundamental
physics. Thus we obtain different effective
dielectric constants for different treatments of redox potential and
reorganization energy.
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