
8.3 The Electron Transport Chain: Protein Machines as Redox-driven Proton Pumps
383
One computational test would be to perform
a molecular dynamics calculation of the change
in internal chain dynamics of the observed
extension, that is, to calculate the change in
chain entropy resulting from the extension
observed in Figure 8.19. The two available
tether sequences are residues 64 through 74 (A
DVLAMSKIEI)of the chicken sequence
and residues 84 through 94(ADVLAMAK
V E V) of the yeast sequence.
8,3.4.4 Consilient Mechanism for Proton
Transport at Qo and Qt Sites
The focus has been on both aspects of the con-
silient mechanism (hydrophobic association/
dissociation and elastic force development/
relaxation) involved in the unique domain
movement for electron transfer within
Complex III. In what follows, the same aspect
of hydrophobic association/dissociation of the
consilient mechanism is proposed for facilitat-
ing proton gating.
TTie scenario often repeated throughout
this book speaks of associating hydropho-
bic domains in which fluctuations in the direc-
tion of dissociation proceed until so much
hydrophobic hydration has developed that
hydrophobic association (insolubility) recurs.
However, if a charged group should appear
suf-
ficiently proximal to the hydrophobically asso-
ciating domains, now as the fluctuation towards
dissociation occurs, the hydration that enters
is immediately oriented for hydration of the
charged group such that reassociation does not
occur, because insufficient hydrophobic hydra-
tion formed to result in insolubility. Accord-
ingly, charge disrupts hydrophobic association
by disrupting hydrophobic hydration. This com-
petition for hydration that blocks the build up
of too much hydrophobic hydration can often
be easily quantified. In many cases a change in
hydrophobicity results in a very large change in
pKa or in the affinity for other counterions.
In such cases the change in Gibbs free energy
for apolar-polar repulsion, AGap, becomes
easily quantified. For example, AGap = 2.3 RT
ApKa (see Equation [5.13]).
In the context of proton gating, at both the
Qo and Qi sites charge formation occurs as the
result of electron transfer. Herein lies the cou-
pling of electron transport to proton pumping.
By means of AGap, the formation of charge
opens aqueous access for proton egress and
ingress. As shown in Figure 8.20, both sites
exhibit "waters of Thales" that constitute
incipient water channels through which
protons could possibly move. The presence
of hydrophobic groups, however, with the
apolar-polar repulsive free energy of hydra-
tion, require that a greater aqueous pathways
be formed, as considered below.
8.3.4.4.1
Proton Access to Cytosol from
the Qo Site
It has already been argued above that forma-
tion of the positively charged QH2^ triggers
the displacement of the globular domain of the
RIP from the Qo site. Formation of the posi-
tive charge on electron transfer from QH2
disrupts the hydrophobic association of a very
hydrophobic tip of RIP with a substantially
hydrophobic pit of the Qo site. This is shown
in Figures 8.15, 8.16, and 8.17. By this element
of the consilient mechanism, competition for
hydration between hydrophobic and charged
residues gives rise to positive cooperativity,
wherein the appearance of charge at one loca-
tion facilitates charge formation, for example
by ion-pair separation, at another location.
Accordingly, charged groups cooperate to
destructure hydrophobic hydration and
thereby propagate an environment for charged
groups.
Based on studies of the elastic-contractile
model proteins reviewed in Chapter 5, during
contraction by hydrophobic association proton
diffuses in the contractile matrix at the rate of
one-fifth that of the diffusion of water out of
the matrix. Specifically, 20 Mrad y-irradiation
cross-linked poly(GVGVP), that is, X^^-
poly(GVGVP), contracted by hydrophobic
association and lifted a weight more than five
times faster on addition of 0.15 N NaCl and
0.01
M sodium phosphate (PBS) at pH 7.4
and 25°C'^ than did X'°-poly[4(GVGVP),
(GVGVP) in PBS on lowering the pH from 7.4
to 2.1 at 37°C.^^ Despite there being more
than 60% water in the matrix of the elastic-