This work is a theoretical analysis in four stages of
association between the blue copper protein plastocyanin
and the heme protein cytochrome f, which are physiological
partners in the photosynthetic electron-transfer chain.
In the first stage, 32 000 trajectories of approach by
plastocyanin to cytochrome f were generated with
implicit
consideration of hydration and with gradual cooling of the system from
300 to 0 K. Approximately 2000 trajectories
resulted in local minima of energy, i.e., in docking. The
molecular configurations having relatively low energies
were grouped, by structural similarity, into six families. In the
second stage, six configurations having the lowest
energies, one from each family, were subjected to thorough molecular
dynamics simulation, for 260 ps. Extensive
hydration of the proteins was treated explicitly. The whole
plastocyanin molecule and the relevant parts of the
cytochrome f molecule were given conformational freedom.
In the third stage, the following three contributions
to
the energy of binding were calculated: polarization of water by the
proteins, determined from numerical solutions
of the Poisson−Boltzmann equation; nonelectrostatic (van der Waals
and other) interactions involving the proteins
and water; and the Coulombic interactions within and between the
protein molecules. Total energy of association
was calculated with a thermodynamic cycle; several realistic sets of
parameters gave consistent results. The
configuration having the most favorable Coulombic interactions turned
out to have the second highest total energy.
This finding exemplifies the importance of allowing for hydration
and for conformational flexibility in docking
calculations and perils of neglecting these factors. In the fourth
stage, electronic coupling between the copper and
heme sites in the six configurations was analyzed and compared by the
Pathways method. The configuration providing
the most efficient path for electron tunneling turned out to be
different from the most stable configuration. There
are indications that the evident interaction between Lys65 in
cytochrome f and Tyr83 in plastocyanin may
involve
the ammonium group of the former and the aromatic ring of the latter.
These surprisingly strong noncovalent
interactions, so-called charge-π interactions, have recently been
discovered and are important for molecular recognition.
Modeling and structural optimization of these interactions are
beyond the state of the art in molecular mechanics,
but these studies should become possible with improved force fields.
The electron-transfer reaction between
cupriplastocyanin and ferrocytochrome f is fast in the
noncovalent complex and undetectably slow in the covalent
complex. This contrast is explained in terms of our theoretical
analysis.
Silica hydrogel (glass) was doped with native (iron-containing)
cytochrome c and with its zinc derivative.
Ultraviolet−visible, circular dichroism, and resonance Raman
spectra of both proteins and the lifetime of the triplet
state of the zinc protein show that encapsulation in the sol-gel glass
only slightly perturbs the polypeptide backbone
and does not detectably perturb the heme group. Because thermal
(ground-state) redox reactions of the encapsulated
native cytochrome c are very slow, we take advantage of the
transparency of the silica to study, by laser flash
spectrometry, photoinduced (excited-state) redox reactions of zinc
cytochrome c, which occur in milliseconds.
The
triplet state, 3Zncyt, is oxidatively quenched by
[Fe(CN)6]3-, dioxygen, and
p-benzoquinone. These reactions are
monophasic in bulk solutions but biphasic in solutions confined in
glass. Changes in ionic strength and pH differently
affect the kinetics in these two environments. Adsorption of
cytochrome c, which is positively charged, to the
pore
walls, which are negatively charged at pH 7.0, affects the kinetics in
the doped glass. Exclusion of the
[Fe(CN)6]3-
anions from the glass interior also affects the kinetics. Even at
equilibrium the anion concentration is lower inside
the glass than in the external solution. This exclusion can be
lessened or eliminated by raising ionic strength and
lowering the pH value. The electroneutral quenchers are not
excluded from the glass. Diffusion of all three
quenchers
is slower in the confined solution than in the bulk solution, as
expected. The smaller the molecule, the lesser this
hindrance by the glass matrix. In light of these findings, the
assumption that porosity of sol-gel glasses ensures
uniform penetration of relatively small molecules into the pores must
be taken skeptically and tested for each solute
(or analyte) of interest, especially for the charged ones. These
considerations are important in the design of sensors.
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