2.3 Energy Sources Cause Proteins to Fold, Assemble, and Function
41
2.3.8.3 Increasing Oil-like Character by
Electrochemical Energy
As represented in Figure 2.6C, reduction of
a more polar oxidized group attached to the
model protein drives contraction. For more oil-
like model proteins, the affinity for electrons is
greater, as in curve a, and reduction requires
less electrical energy due to the steeper curve.
More oil-like model proteins require less elec-
trical energy to drive contraction. Furthermore,
reduction of a group attached to a model
protein increases the oil-like character of
the model protein, because reduction lowers
the temperature at which contraction occurs, as
shown in Figure 2.6A.
2.3.8.4 The ATt-mechanism of
Energy Conversion
A shorthand way of identifying this process for
energy conversion becomes helpful. If the tem-
perature at which the onset of the inverse tem-
perature transition occurs is called Tt and the
magnitude of the change in transition temper-
ature is indicated by a delta,
A,
then the process
of converting energy by changing the transition
temperature can be called the ATt-mechanism.
The insights of the ATt-mechanism did not
originate from studying a particular energy
conversion of an existing biological process,
such as muscle contraction. As described above,
the understanding resulted from observing
hydrophobic folding of elastic model proteins
with increases in temperature. Then it was
found, with the proper model protein design,
that many energy inputs changed the transition
temperature, that is, caused a ATt.
Now we emphasize that the most effective
chemical means for changing the temperature
range for folding involves attachment of phos-
phate, for example, phosphorylation by ATP, or
the binding of ATP
itself.
2.3.8.5 Increasing Hydration Around Oil-
like Groups Lowers T^ That Is, Lowers the
Cusp of Insolubility
The preceding discussion considered only phe-
nomenology, but it is possible to state the mech-
anism whereby the contractions due to oil-like
associations occur. Insight into the mechanism
was apparent as early as 1937 in the work of
Butler,^^ and it resides in the thermodynamics
of the solubility of oil-like groups in water, as
discussed in more detail in Chapter 5. The
Gibbs free energy, AG, governs solubility, that
is,
AG(solubiUty) = AH -
TAS.
AH is the heat of
the transition (i.e., the area of a cusp of insolu-
bility in Fig. 1.1) and is negative for favorable
reactions that release heat, and AS, the change
in entropy, is positive for an increase in disor-
der and negative for an increase in order.
In
brief,
the addition of oil-like groups in
water results in the release of heat (AH is neg-
ative).
Somewhat surprisingly, the dissolution
of oil-like groups in water is a favorable exo-
thermic reaction. Solubility of oil-like groups in
water, however, is limited, because the second
term of the Gibbs free energy for solubility,
-TAS,
is positive for hydration of oil-like
groups. The water that forms around oil-like
groups, as in Figure 2.8, is structured water,
obviously more ordered than bulk water. In this
case,
the (-TAS) term is positive, because for-
mation of structured (more ordered) water
around oil-like groups (hydrophobic hydra-
tion) gives an inherently negative AS. Thus, as
more oil-like hydration develops, an unfavor-
able positive (-TAS) term begins to become
larger than the inherently negative AH term;
the AG(solubility) becomes positive, and solu-
bility is \o^i. Accordingly, association of oil-like
groups (insolubility) results when too much
structured water develops around oil-like
groups. This constitutes a central insight into
protein function in energy conversion. In
summary, the development of too much
hydrophobic hydration causes insolubility, as
verified experimentally^^ and as discussed in
Chapter 5.
The above analysis of the processes of Figure
2.6B,C allows for the simplistic representation
shown in Figure 2.9. As depicted in reaction
(/) of Figure 2.9, addition of proton, ff,
to a carboxylate, -COO", makes the model
protein more oil-like and allows formation of
more structured water around the model
protein, and the more oil-like model protein
becomes
insoluble.
The result is contraction due
to association of oil-like groups, because the