 |
INTRODUCTION |
The enthalpy change (
H) and the
volume change (
V) of a biochemical reaction traditionally
have been measured by a calorimetric method for one-step reactions or
from the temperature or pressure dependence of the equilibrium
constants for reversible reactions (Lamola et al., 1974
; Tsuda and
Ebrey, 1980
). A unique way to measure the
H of an
unstable intermediate species, in particular for a biological
macromolecule, is the direct calorimetric technique by trapping the
unstable species at a low temperature. Cooper and coworkers utilized
this technique to measure the enthalpy changes associated with the
kinetic steps in the bleaching of bovine rhodopsin (Cooper, 1979
, 1981
)
and octopus rhodopsin (Cooper et al., 1986
). These data have frequently
been used for analyzing or interpreting biochemical reactions (Bagley
et al., 1989
; Deng et al., 1991a
,b
). However, there is no guarantee
that the enthalpy changes of a cryogenically trapped species are same
as that of the intermediate species at physiological temperatures,
because structural changes of the chromophore, peptide backbone, and
water molecules could be suppressed at low temperature; in addition, these enthalpy values could be temperature dependent. Despite these
concerns, it has been impossible to study the enthalpy changes at
physiological temperatures because the traditional method cannot be
used to study irreversible reactions of multi-step processes. In this
paper, we report
H and
V of the
intermediate species in the photolysis of octopus rhodopsin (Rh) at
physiological temperatures using the time-resolved transient grating
(TG) and pulsed laser-induced photoacoustic (PA) methods.
Octopus rhodopsin is present in the microvillar membranes of the
photoreceptor cells (Tsuda, 1987
). Its chromophore is 11-cis retinal bound to the lysine residue via a protonated Schiff base. After
photoisomerization of the 11-cis chromophore to the
all-trans form, a series of thermal reactions takes place.
These photointermediates have been identified by transient absorption
spectroscopy, and they are consecutively called primerhodopsin (Prime),
bathorhodopsin (Batho), lumirhodopsin (Lumi), mesorhodopsin (Meso), and
acid metarhodopsin (Acid Meta) (Tsuda, 1979
; Ohtani et al., 1988
; Taiji et al., 1992
; Nakagawa et al., 1997
). The structural changes of the
chromophore, peptide backbone, and water of these intermediates have
been studied by resonance Raman (Kitagawa and Tsuda, 1980
; Pande et
al., 1987
; Deng et al., 1991a
,b
; Huang et al., 1996
, 1997
; Hashimoto et
al., 1996
), FTIR (Masuda et al., 1993a
,b
; Bagley et al., 1989
;
Nishimura et al., 1997
), and UV difference absorption spectroscopy
(Nakagawa et al., 1997
). Recently, we showed that regions of the
protein distant from the chromophore are still changing even after the
changes in the microenvironment around the chromophore are over. We
referred to the intermediate that is produced accompanying the final
chromophore absorption change as transient acid metarhodopsin
(Transient Acid Meta) (Tsuda, 1979
; Masuda et al., 1993
); it has a
different protein conformation from the stable final photoproduct, acid
metarhodopsin (Nishioku et al., 2001
). This is consistent with our
previous report that the stable final photoproduct could not activate
the G-protein, and hence a transient intermediate which lies between
Meso and stable Acid Meta must be the activating species (Nakagawa et
al., 1998
). Thus, we hypothesize that the Transient Acid Meta activates the G-protein and is transformed isospectrally to stable Acid Meta
(Fig. 1).

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FIGURE 1
Schematic illustration of the photoreactions of octopus
rhodopsin. (Rh is rhodopsin, Prime is primerhodopsin, Batho is
bathorhodopsin, Lumi is lumirhodopsin, Meso is mesorhodopsin, Transient
Acid Meta is transient acid metarhodopsin, and Acid Meta is acid
metarhodopsin; X is an intermediate that was produced upon photolysis
of Acid Meta.) The wavelengths at the absorption maxima and the
lifetimes of the intermediates at 15°C are also shown.
|
|
The PA method can uniquely measure the volume change and the enthalpy
change of irreversible chemical reactions (Braslavsky and Heibel, 1992
;
van Brederode et al., 1995
). Indeed, this method has been applied to
the photoreactions of bacteriorhodopsin (Schulenberg et al., 1994
;
Zhang and Mauzerall, 1996
), bovine rhodopsin (Strassburger et al.,
1997
; Gensch et al., 1998
), and sensory rhodopsin I (Losi et al.,
1999
). However, the time window of the PA signal is not wide enough
(usually 10 ns to ~10 µs) to measure the whole process of the
photolysis of visual pigments. The sensitivity within this time window
is not uniform, and the dynamics near the limit of the window are
insensitive. Thus we used the TG and transient lens (TrL) method to
measure the energy levels of the irreversible reactions over a wide
time scale (Terazima, 1998
). After we determined the thermal energy
from each process using the TG and TrL method, the reaction volume of
these processes was extracted using the PA measurements. Using this
strategy, we determined the enthalpy and volume change of each
intermediate in the photolysis of octopus rhodopsin at physiological
temperatures. Although most of the
H values are similar
to those measured for the cryogenically trapped species, the
H in forming Lumi is quite different. These
H values are discussed in the context of previous
findings on the pigment's conformational changes.
 |
MATERIALS AND METHODS |
Octopus rhodopsin was prepared as described previously (Tsuda et
al., 1986
). Briefly, microvillar membranes from octopus retinas (Octopus dofleini) were isolated by sucrose flotation, and
the membranes were solubilized in 1% (w/v) sucrose monolaurate (SM 1200), 10 mM Tris-HCl buffer (pH 7.4) containing 1 mM dithiothreitol, 1 mM benzamidine-HCl, and 20 µM
4-(amidinophenyl)methanesultonylfluoride hydrochloride (APMSF).
Octopus rhodopsin was affinity purified by concanavalin-A
Sepharose (Amersham Pharmacia Biotech, Uppsala, Sweden).
The sample (~80 µM rhodopsin) for the transient grating and
photoacoustic measurements was prepared in 10 mM MOPS (pH 7.4) and 1%
sucrose monolaurate.
The TG setup was similar to that described previously (Terazima and
Hirota, 1993
; Hara et al., 1996
; Nishioku et al., 2001
). Briefly, the
beam of a XeCl excimer laser-pumped dye laser (Lamda Physik Compex
102xc, Göttingen, Germany, Lumomics Hyper Dye 300;
= 465 nm) was divided by a beam splitter and the beams crossed inside a
quartz sample cell (optical path-length = 2 mm). The laser power
of the excitation was <5 µJ/pulse. The interference pattern
(transient grating) created in the sample was probed by a diode laser
(840 nm) as a Bragg diffracted signal (TG signal). The grating
wavenumber, q, was varied by changing the crossing angle of
the excitation and probe beams.
The experimental setup for the TrL method has also been described in
detail (Terazima and Hirota, 1993
). In the TrL method, the
excitation beam was focused in the sample solution. A He-Ne laser beam
(633 nm) was collinearly brought into the sample cell, and the
intensity of the beam center at a far point was monitored by a
photomultiplier through a pinhole and a glass filter. The TG signals
and TrL signals were detected by a photomultiplier (Hamamatsu R928,
Iwata, Japan) and averaged by a digital oscilloscope (Tektronix 2430A,
Tokyo, Japan).
The PA signal was detected by a piezoelectric transducer (PZT and PCB
132A32, Tokin, Sendai, Japan) as described previously (Terazima and
Azumi, 1989
). The signal was directly detected by a digital
oscilloscope and averaged.
We were extremely careful for the data acquisition condition. The
repetition rate of the excitation laser was <1 Hz. After every two
laser shots, the sample solution was stirred to prevent the
accumulation of photoproducts in the excitation region. At the same
time, between every measurement, the sample was irradiated with orange
light (a tungsten lamp with a cutoff filter (
> 590 nm)) to
convert the Acid Meta photoproduct back to rhodopsin (Tsuda, 1979
,
1987
). The orange light was blocked during the measurement. The
excitation beam was focused to the sample with a 1-mm diameter. The
light irradiated volume was ~1.5 × 10
3
ml. This photo-irradiated volume is negligibly small compared with the
total sample volume, 0.6 ml. Therefore, the photoexcitation of the
photoproduct should be neglected for the measurement under this
condition. Furthermore, we used a laser power of typically 1 µJ/pulse
for quantitative
H and
V measurements.
Under this condition, the concentration of photoexcited molecule was
~2.5 µM, which was much smaller than a typical sample concentration of 80 µM. Therefore, the effect of the photobleaching could be completely neglected. We confirmed that the refractive index change (square root of the TG signal and signal intensity of the TrL signal)
was proportional to the laser power.
Experiments were performed over an
0.5~35°C range with a
temperature-controlled thermal bath (Lauda RSD6D). Bromocresol purple (BCP) was used for a calorimetric reference. Because the lifetimes of
the excited states of BCP are less than 1 ns and the radiative transitions as well as photochemical reaction are negligible, all of
the absorbed photon energy should be released within the pulse width of
our excitation laser. The absorbance of BCP was adjusted to the same
value as that of the octopus rhodopsin sample at the excitation
wavelength. The value of q was determined from the decay
rate of the thermal grating signal of this reference sample (vide infra).
Principles
TG method
In the TG method, a sinusoidal modulation of the light intensity
is produced by the interference of two light waves. Photoexcitation of
the sample by this light creates a sinusoidal modulation in the
refractive index and in the absorbance caused by the factors discussed
below. Under weak diffraction conditions, the TG signal intensity
(ITG) is proportional to the square of
the variations in the refractive index (
n) and in the
absorbance (
k).
The refractive index change consists of the following three components:
contributions of released heat
(
nth, thermal grating), the
molecular refractive index difference between the reactant and products
due to the change of the absorption spectrum
(
npop, population grating), and the
density change caused by the reaction volume
(
nv, volume grating). We call the
sum of
npop and
nv the species grating
(
nspe), because the time profiles
of
npop and
nv are identical for most cases.
The TG signal intensity (ITG) is given
by
|
(1)
|
where
is a constant representing the sensitivity of the system.
The temporal evolution of
nth(t) reflects the time
dependence of the thermal energy being released. Solving the thermal
diffusion equation, one obtains (Terazima, 1998
)
|
(2)
|
where * represents the convolution integral,
Q(t) is the thermal energy coming out from the
photoexcited rhodopsin, W is molecular weight,
dn/dT is the temperature dependence of the
refractive index,
is the density,
Cp is the heat capacity at constant
pressure, and Dth is the thermal
diffusivity. The grating wavenumber, q, is given by
q =
sin(
/2)/
ex
(
ex is wavelength of the excitation light). We
can vary q by varying the crossing angle (
) between two
excitation beams. The proportionally constant
in Eq. 1 can be
determined by comparison of the signal intensity with that of the
calorimetric reference sample, which releases the absorbed photon's
energy as thermal energy within our time resolution. By analyzing the
time profile of the thermal grating signal with Eq. 2, the thermal
energy associated with each reaction process can be measured and the
enthalpy of each species can be calculated. In this paper, the enthalpy
of each species (
H) is defined by the enthalpy difference
from that of the original species, Rh.
|
(3)
|
where
is the quantum yield of the reaction,
N
is the number of the reacting molecules in a unit volume and
h
is the photon energy for the excitation. The refractive
index change after photoexcitation of a calorimetric reference sample,
which converts all of the excitation photon energy to the thermal
energy faster than the time-response
(
nth(reference)) is given by
|
(4)
|
By taking a ratio of
nth of
the sample (
nth(sample)) to
nth(reference),
H can
be calculated by
|
(5)
|
The refractive index change due to the volume grating is given
by
|
(6)
|
where Vdn/dV is the refractive index
change by the molecular volume change. By taking a ratio of
nv to
nth(reference) with the known
solvent property (Vdn/dV),
V can be determined.
The time dependence of the species grating is determined by the
kinetics of the reaction and the molecular diffusion process. If we can
neglect the reaction kinetics in the molecular diffusion time region,
the time dependence is given by (Terazima and Hirota, 1993
; Hara et
al., 1996
)
|
(7)
|
where q is a grating wavenumber, and
nr and
np represent refractive index
changes by the reactant and product, respectively. Dr and
Dp are the molecular diffusion
coefficients of the reactant and product, respectively. The reaction
kinetics can be separated from the diffusion process by measuring the
transient grating dynamics at different
q2, because the diffusion process
depends on q2, whereas the reaction
kinetics should not.
TrL method
In the TrL method, a sample is excited with a pump beam having a
spatially Gaussian form, so that the profile of the concentration of
the excited-state molecules should be the same Gaussian. If the
refractive index or the absorption changes by any of the reasons described above, the spatial profile of this change should also be a
Gaussian. At the central part, the Gaussian profile of the refractive
index acts as a lens to expand (or focus) another light beam passing
through that region. The expansion (or focusing) of the light beam can
be detected as a change in the light density through a pinhole placed
at a far field.
The TrL signal intensity (ITrL) is
proportional to the refractive index change induced by the
photoexcitation.
|
(8)
|
where
' is the proportional constant, and
nth-L(t) and
nspe-L(t) are the
refractive index change caused by the thermal lens and species lens
effect, respectively. The
nspe-L(t) includes the
volume lens and population lens effects same as the species grating.
Because the TrL signal reflects the refractive index change due to
photoexcitation, the information from the signal is essentially
identical to that obtained from the TG method. One notable difference
is the decay rate constant of the signal. Whereas the decay rate of the
thermal grating signal is ~1-10 µs usually, that of the thermal
lens signal is ~10 ms, which is determined by the thermal diffusion
time across the focused beam diameter (~100 µm). Here, this slower
time constant is an advantage for measuring the enthalpy of a slowly
created species.
PA method
In PA detection, the pressure wave is detected by a
pressure-sensitive device such as a piezoelectric transducer. The
magnitude of the pressure wave is proportional to the density change of the matrix through the thermal effect and volume effect. The time profile of the PA signal of the sample (rhodopsin) by the PA method, S(t), is given by a convolution between the PA
signal of the calorimetric reference g(t) and a
time dependent pressure evolution P(t) (Terazima and Azumi, 1989
; van Brederode et al., 1995
; Strassburger et al., 1997
):
|
(9)
|
 |
RESULTS |
Time profile of the TG signals of octopus rhodopsin
Fig. 2, A
C,
shows the time profiles of the TG signals of the octopus rhodopsin
(~80 µM) upon photoexcitation (465 nm) probed at 840 nm at 20°C
with q2 = 2.0 × 1012 m
2. The qualitative
features of the observed TG signal were described in an earlier paper
(Nishioku et al., 2001
). Briefly, the signal rises within 10 ns after
the photoexcitation followed by a decay with a tri-exponential function
and a single-exponential rise within a time window of 10 ns to ~20
µs (Fig. 2 A). One of the rate constants depends on
q2, but the other does not. The
q2-dependent kinetics is attributed to
the thermal grating signal and the
q2-independent kinetics represents the
transformation of the Batho to Meso form. The main part of this
q2-independent signal originates from
the change of the absorption spectra of Rh (the population grating
component). Considering previous studies on the photoreactions of Rh
using the transient absorption method, we can attribute these dynamics
to the reactions of Batho
Lumi
Meso
Transient Acid Meta.
The rate constants of the TG signal agree quite well with those
determined by the transient absorption method.

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FIGURE 2
The kinetics of the TG signal of octopus rhodopsin
after 465-nm pulse probed at 840 nm at 20°C on three different time
scales at q2 = 2.0 × 1012 m 2. The sample concentration is 80 µM.
(A) The fast time scale (<20 µs); (B)
the middle time scale (<2 ms); (C) The slower time
scale (>2ms). The assignments of the kinetic components are labeled in
the figure.
|
|
After the transformation of Meso to Transient Acid Meta with a lifetime
of 23 µs at 20°C, the TG signal rises with a bi-exponential function on a much longer time scale (Fig. 2 B) and finally
decays to the baseline as a single exponential (Fig. 2 C).
The first rise rate does not depend on
q2 (180 µs at 15°C and 150 µs at
20°C); hence it represents the intrinsic kinetics of the protein
conformational changes. However, there is no kinetics observed by
transient absorption measurements corresponding to this rate. Hence
this TG-observed signal is an optically silent transition, and the
origin of this signal has previously been attributed to the volume
grating component, which comes from the protein structural changes that
do not affect the chromophore (Nishioku et al., 2001
). At the
grating wavenumber we usually used (q2 = 0.9 to 4.0 × 1012
m
2), we observed rise-decay dynamics after this
signal and found that this rate constant depends on
q2. Therefore, these decay rates
should represent molecular diffusion processes of the species that
exist at this time.
In our earlier paper (Nishioku et al., 2001
), we described the
observation of the 180-µs component and attributed it to the decay of
Transient Acid Meta. However, at that time, we could not identify the
precursor species; the 180-µs dynamics could correspond to Transient
Acid Meta
Acid Meta or it could represent the creation of another
intermediate before the final Acid Meta. If we could monitor the TG
signal over a much longer time scale, we might be able to distinguish
these two possibilities. It was impossible at the previous grating
wavenumber, because the signal due to molecular diffusion (vide infra)
rises after the 180-µs signal and masks the TG signal at longer
times. Here, to remove the diffusion kinetics from the observation time
window, we tried to measure the TG signal under a much lower
q condition. We successfully observed the TG signal at
q2 = 2.6 × 1010 m
2 by careful
elimination of the scattered light from the probe beam. At this
q2, we could observe the TG signal
until 35 ms without disturbance by the diffusion signal. However, we
could not observe any q-independent dynamics after the
180-µs dynamics. Therefore it is highly plausible that the 180-µs
dynamics at 20°C represents the Transient Acid Meta
Acid Meta
process (Fig. 1).
In summary, the time profile of the TG signal over this wide time
range (10 ns to 100 ms) can be expressed by
|
(10)
|
where A-G are pre-exponential factors of these exponential terms,
k1 > k2 > k3 > k4 and
D5 > D6. As described above,
k1 to k4 correspond to the rate constants of
the Batho
Lumi
Meso
Transient Acid Meta
Acid Meta
processes, respectively. From the measurements at various
q2,
D5 and
D6 are determined to be 0.93 × 10
10 m2/s and 0.27 × 10
10 m2/s. These
values were used for the fitting of the TG signal. However, further
discussion concerning these diffusion coefficients is not within the
scope of this paper and will be published later.
This temporal profile does not change by diluting the sample
concentration further (<100 µM). However, when the concentration of
the sample is increased (>100 µM), the last part of the signal (Fig.
2 C) becomes very intense and the time profile becomes
different from that at lower concentrations (Fig.
3). This concentration-dependent change
can be explained by the formation of aggregates of the molecules. We
performed the TG experiment using a diluted solution (<100 µM) for
the following quantitative measurements of
H and
V.

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FIGURE 3
The comparison between the TG signal of octopus
rhodopsin after 465-nm excitation pulse probed at 840 nm at 200 µM
( ) and 80 µM (· · ·) at q2 = 1.1 × 1012 m 2. (A) The
middle time scale (<2 ms); (B) The slower time scale
(>2 ms).
|
|
Enthalpy changes of intermediate species at physiological
temperatures
The origin of the thermal grating signal is the thermal
energy due to the nonradiative transition and the enthalpy changes accompanying the photolysis of octopus rhodopsin. Therefore, if we can
measure the time profile of the thermal grating signal of the
photochemical sequence of octopus rhodopsin, we can determine the
enthalpies of these intermediates step by step from the intensities of
the signals. Because a typical decay rate of the thermal grating component under the present experimental condition is 2-6 µs, the
thermal energies that come out from the processes of the Rh* (photoexcited state of rhodopsin)
Batho
Lumi
Meso are
accumulated to give rise to the rising components of the thermal
grating signal. On the other hand, because the rate of the thermal
energy release from the process of the Meso
Transient Acid Meta is
slower than the thermal diffusion process, the thermal grating
intensity due to this process becomes very weak. First, we determine
the enthalpies of Batho, Lumi, and Meso by the TG method.
Because the kinetics from Rh* to Batho are faster than our time
resolution, the thermal energy we can observe here is expressed by
|
(11)
|
where Qf denotes the fast thermal
energy (within the pulse width), and
Qs1and
Qs2 are the thermal energies
accompanied with transitions of the Batho
Lumi and Lumi
Meso. A
difficulty we encounter for the quantitative measurement of the thermal
grating signal comes from interference by the species grating signal of the transition of the Batho to Transient Acid Meta. We estimated the
species grating signal contribution by measuring the TG signal at two
temperatures as follows.
It is well known that dn/dT in Eq. 2 of an aqueous solution
is strongly dependent on temperature, and it almost vanishes at ~0°C. Because
nth is
proportional to dn/dT, the TG signal at this temperature
should represent the species grating signal. First, to examine the
temperature dependence of dn/dT of the buffer solution we
used, we measured the TG signal of the calorimetric standard sample in
the buffer at various temperatures. We found that the thermal grating
signal that is proportional to dn/dT almost vanishes at
0.5°C. Therefore, the grating signal at this temperature (Fig.
4) should be free from the thermal
contribution and consists of only the species grating contribution. The
signal at
0.5°C
(
nspe(t,
T =
0.5°C)) was fitted by a sum of three exponential functions corresponding to the Batho
Lumi
Meso
Transient Acid Meta processes as
|
(12)
|
Next, we estimated the species grating signal at 20°C to
determine the thermal grating signal contribution. For estimating the
species grating signal at 20°C from that at T =
0.5°C, we examined the transient absorption signal at various
temperatures and found that the signal at 20°C can be fitted by the
sum of exponential functions with the same amplitude at
0.5°C. This fact implies that quantum yield of the reaction as well as the production yields of the intermediate species (pre-exponential factor
of
nspe) do not depend on the
temperature. Hence, the species grating signal at 20°C can be
constructed by using the same pre-exponential factors of Eq. 12 with
the rate constants determined by the transient absorption and the TG
signals at 20°C:
|
(13)
|
Thus calculated species grating and the observed TG signals are
depicted in Fig. 5. The difference
between the calculated and the observed signals should represent the
contribution of the thermal grating contribution. We fitted the
observed TG signal at 20°C by the least-square fitting with Eq. 13,
adding
|
(14)
|
The pre-exponential factor of Eq. 14 represents the released
energy by these processes (Eqs. 2 and 11). As mentioned in Principles, comparing the thermal grating signal intensity of the sample with that
of the reference, we can determine the enthalpy change from Eq. 5. From
the experimentally determined ratio
nth(Rh*-Batho)/
nth(reference) = 0.72,
nth(Rh*-Lumi)/
nth(reference) = 0.76,
nth(Rh*-Meso)/
nth(reference) = 0.93 and
= 0.5 (Ohtani et al., 1988
), we obtained
HBatho = 146 ± 15 kJ/mol,
HLumi = 122 ± 17 kJ/mol and
HMeso = 38 ± 8 kJ/mol. Almost
the same values can be also obtained at 25°C. The photon energy we
used is 257 kJ/mol. Hence, most of the absorbed energy is released as
heat within 500 ns at 20°C.

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FIGURE 4
The time profile of the TG signal of octopus rhodopsin
after 465-nm excitation pulse probed at 840 nm at 0.5°C. The sample
concentration is 80 µM. Assignment of each kinetics is labeled in the
figure. Because dn/dT is zero in this solution at
0.5°C, the TG signal in this figure represents only species grating
signal.
|
|

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FIGURE 5
The time profile of the TG signal of octopus rhodopsin
after 465-nm excitation pulse probed at 840 nm at 20°C ( )
and the calculated curve of the species grating signal at 20°C (· · ·). The difference between these two curves represents the
contribution of the thermal grating. The smooth solid line expresses
the fitting curve with a superposition of the calculated species
grating signal and the thermal grating contribution.
|
|
Next, the enthalpy of Transient Acid Meta was determined by using the
TrL method. As stated above, because the lifetime of the Meso
Transient Acid Meta process is longer than the decay rate of the
thermal grating, the signal intensity becomes very weak, and it was
impossible to measure this quantity by the TG method. However, the
decay rate of the thermal lens signal is much slower than the thermal
grating, and the contribution of the thermal energy accompanied with
the Meso
Transient Acid Meta process can be observed clearly as the
rise of the signal. Fig. 6 shows the TrL
signal of octopus rhodopsin and the calorimetric reference sample. The
TrL signal of the reference sample shows a concave-type lens signal
because the refractive index of water at this temperature decreases
with increasing temperature. This is a normal thermal lens signal
observed in many reports (Braslavsky and Heibel, 1992
; Terazima and
Hirota, 1994
; Schulenberg et al., 1995
). On the other hand, the TrL
signal of the rhodopsin solution shows a convex lens-type signal
because the dominant contribution comes from the species lens signal.
The contribution of the species lens signal was subtracted by the same
method as for the TG case (i.e., the contribution of the species lens
signals at 24°C was determined and the lifetimes of the each step
measured by transient absorption spectroscopy, and we determined the
thermal lens contribution of the rhodopsin sample by subtracting the
species lens contribution from the TrL signal of the rhodopsin at
24°C). The ratio of the thermal lens signal of the rhodopsin sample
and that of the reference was
nth(Rh*-Transient Acid Meta)/
nth(reference) = 0.98. Therefore, the enthalpy of the Transient Acid Meta was determined to be 12 ± 5 kJ/mol. The enthalpies determined for these species are summarized in
Fig. 7. The activation barriers depicted
in Fig. 7 were determined previously from the temperature dependence of
the rate constants (Nishioku et al., 2001
).

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FIGURE 6
The time profiles of the TrL signals of octopus
rhodopsin ( ) and BCP reference (dotted line) after 465 nm
excitation pulse probed at 633 nm at 24°C. Absorbance at 465 nm of
octopus rhodopsin sample and BCP reference are same (Absorbance = 0.45, path-length = 2 mm).
|
|

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FIGURE 7
Comparison of the relative enthalpies of the various
octopus photointermediates at physiological temperatures
(solid horizontal lines)
with those measured at low temperature (dotted
lines) (Cooper et al., 1986 ). The activation enthalpies
between these steps, measured by the temperature dependence of the
reaction rates (Nishioku et al., 2001 ), are also shown in the figure.
|
|
Volume change
The volume change of each photoreaction step was determined by
using the PA method. Fig. 8 A
depicts the observed PA signal of rhodopsin and BCP at 20°C. The PA
signal intensity represents the thermal expansion and the molecular
volume changes. In this time window, the energy relaxation of Rh*
(photoexcited state of rhodopsin)
Batho
Lumi
Meso and the
volume change associated with Rh
Batho
Lumi
Meso are
included.

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FIGURE 8
The PA signals of octopus rhodopsin sample ( ) and
BCP reference (· · ·) after 465-nm excitation pulse at 20°C by
a fast response-piezo electro transducer (A) and at
35°C by a slow response-piezo electro transducer (B).
Absorbance at 465 nm of octopus rhodopsin sample and BCP reference are
the same (absorbance = 0.45, path length = 2 mm).
|
|
The contribution of the volume change is written as (Small, 1992
; Small
et al., 1992
; Strassburger et al., 1997
)
|
(15)
|
where
th is the thermal expansion
coefficient. 
is the apparent amplitude on the
step i obtained by the fitting and
i is the actual amplitude and involves two contributions: thermal expansion and molecular volume change.
1,
2, and
3 represent the weight of each elementary
process (subscript 1 for the production of Batho, 2 for the Batho to
Lumi, and 3 for Lumi to Meso process) to the total PA signal. As the thermal energy from these steps is already obtained by the TG measurement and the rate constants of each steps are measured by
transient absorption spectroscopy, the contributions of the thermal
expansion and the rate constants of each steps are fixed during the
curve fitting process of the PA signal. We fitted the PA signal that
was measured at very low excitation laser powers (~1 µJ/pulse) the
same as for the TG method to avoid the multi-photon excitation. From
the relationship between
i, which was obtained by fitting and
Vi on Eq. 15, we obtained
as
VRh-Batho = +32 ± 3 ml/mol,
VBatho-Lumi =
5 ± 3 ml/mol and
VLumi-Meso =
1 ± 1 ml/mol.
The time constant due to the transformation of Meso
Transient Acid
Meta is much longer than the time window of the piezoelectric transducer device we used at this temperature. To obtain the volume change associated with this process, we used another piezoelectric transducer with a slower time response and measured the PA signal at
higher temperature. With increasing temperature, the rate of the Meso
Transient Acid Meta process increases (4.6 µs at 35°C) and
becomes comparable to the time window of the PA signal. Fig. 8
B shows the PA signal of rhodopsin and BCP at 35°C
measured by the slower response piezo electric transducer. This signal was analyzed by the same method as above including the volume change by this process.
VMeso-Transient Acid
Meta =
4 ± 3 ml/mol was obtained. Finally, the
volume change associated with the transformation of
Transient Acid Meta
Acid Meta was measured by the TG method as the
volume grating component as described previously (Nishioku et al.,
2001
). The volume change was
V = +13 ± 3 ml/mol. The relative enthalpies of the octopus rhodopsin
photointermediates for the ground state rhodopsin and reaction volume
changes for the corresponding transition determined in this study is
summarized in Table 1.
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|
TABLE 1
Relative enthalpies of the octopus rhodopsin
photointermediates from the ground state rhodopsin and the reaction
volume changes for the corresponding transitions obtained in this study
at physiological temperature
|
|
 |
DISCUSSION |
Rh*
Batho
Upon photoexcitation the initial event in visual pigments is the
isomerization of the retinal chromophore from the 11-cis to
the all-trans form. This isomerization is very fast; it
occurs within 400 fs in octopus rhodopsin (Taiji et al., 1992
;
Kobayashi et al., 1998
). The
H
(
HBatho) and
V
(
VBatho) of the Batho determined by
TG and PA measurements are 146 ± 15 kJ/mol and +32 ± 3 ml/mol, respectively. Because the energy of the lowest excited state of
bovine Rh is 222 kJ/mol (Guzzo and Pool, 1968
), only 35% of this
energy is released in the formation of Batho. It should be noted that
this
HBatho value at physiological
temperature agrees well with that determined by the cryogenically
trapping method (
HBatho = 130.5 kJ/mol at
195°C (Cooper et al., 1986
)). This good agreement may
indicate that most of the excitation energy is stored by the distorted
retinal and its interaction with the surrounding protein at both
physiological temperatures and low temperatures. In other words, this
correspondence suggests that the structural changes during the step of
Rh to Batho are localized around the chromophore.
The energy storage mechanism is not understood well yet, but it may
come from a combination of the distortion of the retinal polyene chain
and the Schiff base linkage, alternation of the electrostatic
interaction between the protonated Schiff base and a counterion charge,
and changes of the steric interaction between the retinal and the amino
acid residues in the binding pocket. Conformational changes of the
retinal polyene chain and the Schiff base linkage during the Rh* to
Batho step were reported using resonance Raman spectroscopy (Pande et
al., 1987
; Deng et al., 1991a
,b
; Huang et al., 1996
, 1997
).
Furthermore, the electrostatic interaction between the protonated
Schiff base and a counterion was studied by Fourier transform infrared
(FTIR), which revealed that the O-H stretch frequency of a water
molecule bound to the Schiff base in Batho was changed from that in Rh
(Nishimura et al., 1997
). (The counterion if any, for the protonated
Schiff base of octopus Rh has not been identified yet (Nakagawa et al., 1999
).) This change was attributed to the change of the electrostatic interaction between the protonated Schiff base and a counterion. It is
very plausible that the isomerization of the retinal results in steric
hindrance in the binding pocket. These strains may be the source of the
high free energy of this state.
The observed volume change in the transformation of Rh* to Batho is
quite large compared with those of the other subsequent processes
(except the last Transient Acid Meta
Acid Meta one). It is
interesting to note that the initial steps of two other photoreceptor
systems also showed a positive volume change (Rh*
Batho of bovine
rhodopsin is 5 ml/mol (Gensch et al., 1998
), sensory rhodopsin I is 5.5 ml/mol (Losi et al., 1999
)). This change should be related to the
isomerization of the retinal because, as discussed above, the
structural changes in this step are rather localized around the
chromophore. Since the dipole moment of retinal Schiff base does not
significantly change upon isomerization, (Locknar and Peteanu, 1998
)
the observed volume change is not due to an electrostriction effect.
Losi et al. (1999)
speculated that the volume expansion reflects the
partial disruption of weak interactions (e.g., hydrogen bonding)
between the chromophore and the adjacent amino acid residues.
Considering the structural information obtained so far, we think that
the volume change could be related to the structural changes that
induce the energetic stabilization, such as the distortion of the
retinal and the Schiff base linkage, alteration of the electrostatic
interaction, and change of steric interactions in the binding pocket.
Batho
Lumi
Meso
The
H of Lumi
(
HLumi) and Meso
(
HMeso) at physiological
temperatures were determined by the TG measurements to be 122 ± 17 kJ/mol and 38 ± 8 kJ/mol, respectively. The enthalpy is
dramatically decreased between Lumi and Meso. Comparing these values
with those determined by the cryogenic trapping method
(
HLumi = 53.3 kJ/mol at
115°C
and
HMeso = 18 kJ/mol at
65°C
(Cooper et al., 1986
)), it should be noticed that
HLumi is very different from the
value detected here. Whereas the main energy stabilization occurs
between the Batho and Lumi forms at low temperature, it occurs between Lumi and Meso at physiological temperatures. Because we intuitively think that the relaxation of the molecular structure is easier at
higher temperature, it is difficult to understand why the energy is
more stabilized at lower temperature. This difference could mean that
the conformational change depends on temperature; that is, the
structure around the chromophore could be similar between the cryogenic
and physiological temperatures as indicated by the absorption spectrum,
but the conformation apart from the chromophore may be different. In
other words, the conformational change during the Batho
Lumi
process is more or less global compared with the previous transition of
Rh*
Batho. On the other hand, the enthalpy of Meso is similar at
both temperatures (20°C and
65°C).
From the FTIR spectra of the HOOP region at low temperatures, it was
suggested that the retinal is still distorted in the Lumi and Meso
forms, but the structure is somewhat different from that in the Batho
form (Nishimura et al., 1997
). This different conformation may indicate
that the strain of the retinal is released during this process. The O-H
stretch frequency indicates that the electrostatic interaction
involving the Schiff base is changed in the transformation from Batho
to Lumi and Meso. These structural changes could explain the energy
stabilization of Lumi and Meso from Batho. However, we should be
careful because the FTIR experiments were performed at low temperature.
Because the
H of Lumi is different at low temperature and
physiological temperature, the structural change observed at low
temperature could be different in solution. It is interesting to note
that the
HLumi of octopus rhodopsin at 20°C is close to that of bovine rhodopsin at low temperature (
75°C),
HLumi = 110 kJ/mol
(Cooper, 1981
).
The volume changes during these processes are not significant
(
V =
5 ± 3 ml/mol for Batho
Lumi and
V =
1 ± 1 ml/mol for Lumi
Meso) and are
quite small considering the large energy stabilization. Probably, the
energy stabilization during this process may be sensitive to the
relaxation of the strain of the retinal and protein conformational change.
Meso
Transient Acid Meta
Acid Meta
By using the transient absorption technique, the decay of Meso was
the last kinetic process detected in the photolysis of octopus Rh.
However, we found a structural kinetic change leading to a new
intermediate after the final change of the absorption signal, and we
attributed this change to the conformation of the protein moiety far
from the chromophore (Nishioku et al., 2001
). This new intermediate was
called Transient Acid Meta, which is transformed to Acid Meta. The
enthalpy is almost completely relaxed back to the original Rh with this
Transient Acid Meta form. FTIR experiments revealed that the retinal is
completely relaxed at the final Acid Meta form (Nishimura et al.,
1997
). This relaxation could be the cause of the energy stabilization
during this step.
H determined by the calorimetric method
at 5-20°C is ~18 kJ/mol, which is the same as that of the
Transient Acid Meta we obtained.
Although a small volume change was observed for Meso
Transient Acid
Meta (
4 ± 3 ml/mol), a relatively large volume change was
detected (+13 ± 3 ml/mol) for Transient Acid Meta
Acid Meta. This observation supports the idea that the absorption change occurs
first by a slight adjustment of the amino acid residues around the
chromophore, and subsequently a large-scale change takes place far from
the chromophore. This large volume change was speculated to be the
movement of the helices. It is interesting to note that an enthalpy
change was not detected during this process despite the large volume
change. Therefore, entropy should drive this process.
 |
CONCLUSION |
The time-dependent values of
H and
V
associated with the photolysis of octopus rhodopsin were measured at
physiological temperatures by the TG, TrL, and PA methods. The enthalpy
changes of Batho, Lumi, Meso, Transient Acid Meta, and Acid Meta were 146 ± 15 kJ/mol, 122 ± 17 kJ/mol, 38 ± 8 kJ/mol,
12 ± 5 kJ/mol, and 12 ± 5 kJ/mol, respectively. A large
volume expansion between Rh and Batho, +32 ± 3 ml/mol, was
measured. The volume changes on the subsequent reaction steps from
Batho to Transient Acid Meta were rather small. Batho stores about half
of the absorbed photonenergy, and this energy storage may be due to
changes in the electrostatic interaction between the protonated Schiff
base and a counterion and the steric hindrance of the retinal in the binding pocket induced by the isomerization. The relatively large volume change at the Rh* to Batho transition could be related to
structural changes that induce the energetic stabilization, such as the
conformational distortion of the retinal and the Schiff base linkage,
alteration of the electrostatic interaction, and change of the protein
binding pocket. The energy stabilization and volume change at
subsequent steps of the photolysis can be related to the relaxation of
distortion in the retinal and a change of the electrostatic interaction
between the Schiff base and amino acids. Although a small volume change
was observed for the Meso
Transient Acid Meta, a relatively large
volume change was detected (+13 ± 3 ml/mol) during the Transient
Acid Meta
Acid Meta process (Nishioku et al., 2001
). This volume
change suggests that the chromophore absorption change occurs first by
a slight movement of the amino acid residues around the chromophore,
and subsequently large changes in the protein takes place far from the
chromophore. This large volume change may be responsible for the
movement around the helix.
Address reprint requests to Dr. Masahide Terazima, Department of
Chemistry, Graduate School of Science, Kyoto University, Kyoto
606-8502, Japan. Tel.: 81-75-753-4026; Fax: 81-75-753-4000; E-mail:
mterazima{at}kuchem.kyoto-u.ac.jp.