Taking advantage of the pressure-induced contrast variation, these experiments allow the partial specific volume of MbN3 to be determined as a function of pressure.. In this pressure rang
Trang 1High-pressure effects on horse heart metmyoglobin studied
by small-angle neutron scattering
Camille Loupiac1, Marco Bonetti2, Serge Pin3and Patrick Calmettes1
1
Laboratoire Le´on Brillouin, UMR 12 CNRS,2Service de Physique de l’Etat Condense´, and3Service de Chimie Mole´culaire, URA 331 CNRS, DSM/DRECAM, CEA de Saclay, Gif-sur-Yvette, France
Small-angle neutron scattering experiments were performed
on horse azidometmyoglobin (MbN3) at pressures up to
300 MPa Other spectroscopic techniques have shown that a
reorganization of the secondary structure and of the active
site occur in this pressure range The present measurements,
performed using various concentrations of MbN3, show that
the compactness of the protein is not altered as the value of
its radius of gyration remains constant up to 300 MPa The
value of the second virial coefficient of the protein solution
indicates that the interactions between the molecules are
always strongly repulsive even if their magnitude decreases
with increasing pressure Taking advantage of the pressure-induced contrast variation, these experiments allow the partial specific volume of MbN3 to be determined as a function of pressure Its value decreases by 5.4% between atmospheric pressure and 300 MPa In this pressure range the isothermal compressibility of hydrated MbN3is found to
be almost constant Its value is (1.6 ± 0.1) 10)4MPa)1 Keywords: myoglobin; pressure; SANS; partial volume; compressibility
The structure of proteins and their solvent interactions can
be modified by temperature, pH or chemicals The
appli-cation of hydrostatic pressure to a protein solution also
provides a manner to alter these physical properties [1–4]
The stability of proteins in very different extreme
environ-mental conditions is of great importance for many
biotech-nological applications, notably food processing Therefore,
the various states that proteins can adopt under pressure is
a matter of growing interest In general, protein–ligand
binding is affected by pressures lower than 400 MPa
Furthermore, protein denaturation and unfolding may
occur at higher pressures [5–8] Studies of protein stability
by means of various spectroscopic techniques have shown
that increasing pressure reduces the partial volume of the
molecule through compression and conformational changes
Although matter is always compressible, electrostriction of
charged and polar side chains, hydrophobic hydration,
hydrogen bonds stabilization and the elimination of packing
defects are considered to be the main causes for this volume
change [9–15]
The effects of pressure on hemeproteins have been the
subject of numerous investigations Optical absorption [16–
21], fluorescence [22], FTIR [23–25], Raman [26], and NMR
[27–29] spectroscopies, and laser flash photolysis [30–32]
have all shown that pressures near 300 MPa leads to subtle
local rearrangements of the protein structure and that some
intermediate states preceding unfolding probably appear
Therefore, it is important to determine whether the modi-fications observed at the level of the active site of myoglobin [17,18,20,21,26–29] and the reorganization of the secondary structure with an alteration of the electrostatic and hydro-gen-bond array [23,24] are related to a change in the tertiary structure of the protein
In order to reply these questions we report here for the first time, the results of small-angle neutron scattering (SANS) experiments performed on myoglobin (Mb) under pressure Quite generally, SANS can provide information about the partial volume of proteins, their interactions, their size and their conformation [33] The scattering measure-ments were carried out in heavy water (2H2O) at varying pressures up to 300 MPa as a function of protein concen-tration in order to determine the magnitude of the solute interactions and to allow for the elimination of their contribution to the forward scattered intensity and the apparent radius of gyration
Azidometmyoglobin (MbN3) has a high stability It was chosen for this study in order to avoid a mixture of aquo and hydroxy derivatives in metmyoglobin solutions or a contamination of either oxygen or carbon monoxide saturated myoglobin solutions by oxidized forms which could form under pressure [34]
M A T E R I A L S A N D M E T H O D S Protein sample preparation
High purity horse-heart Mb was purchased from Sigma The lyophilized protein was first dissolved in water (H2O) and dialysed three times against H2O during 24 h to remove all the salts The protein was then extensively dialysed (three dialyses of 24 h) against 2H2O to achieve a complete exchange of the labile hydrogen atoms For the SANS experiments a 0.1-MBistris p2H 6.6 deuterated buffer was used so as to allow the highest contrast between the protein
Correspondence to P Calmettes, Laboratoire Le´on Brillouin,
C.E.A de Saclay, 91191 Gif-sur-Yvette, cedex, France.
Fax: + 33 16908 8261, Tel.: + 33 16908 6476,
E-mail: calmet@llb.saclay.cea.fr
Abbreviations: SANS, small-angle neutron scattering;
Mb, myoglobin; MbN 3 , azidometmyoglobin.
(Received 26 February 2002, revised 10 June 2002,
accepted 22 July 2002)
Trang 2and the solvent whilst also minimizing incoherent scattering
from the hydrogen atoms Bistris was chosen because its
ionization constant should not be altered by pressure [35]
Sodium azide (NaN3) was added to the aquometmyoglobin
solution one day prior to the SANS experiments to ensure
that the protein was almost fully liganded with N3[36] This
was checked by absorbance measurements in the visible
region The p2H of the solution was measured after
ligandation and adjusted to 6.6 if necessary The mother
MbN3solution at about 60mgÆcm)3and the samples were
prepared and stored at 4C All samples were centrifuged at
20 000 g during 5 min at 15C prior to the SANS
experiments
High-pressure cell
During the SANS experiments the protein solutions were
contained in a high-pressure cell made of stainless steel with
two parallel thick sapphire windows The optical path
length was 5 mm and the maximum forward scattering
angle hmax¼ 15 A separator between the pressurizing
fluid and the sample prevented the latter from
contamina-tion A hand driven pressure generator allowed the pressure
to be gradually increased up to any value lower than about
300 MPa No significant temperature increase was observed
during pressurization performed at a rate of about
100 barÆmin)1 Pressure was measured with an accuracy of
± 0 3 MPa
SANS experiments
The SANS experiments were performed with the PACE
spectrometer at the Laboratoire Le´on Brillouin, Saclay,
France The neutron wavelength was k¼ 1.1 nm This
gives access to wavenumber transfers, q, ranging from 0.07
to 0.75 nm)1 q¼ (4p/k)sin(h/2), where h is the scattering
angle The SANS spectra were collected at room
temper-ature, near 20C Each raw spectrum was divided by the
corresponding transmission measured with a suitably
attenuated beam after the removal of the beam stop located
in front of the centre of the detector The dialysis buffer and
the empty cell scattering contributions were measured in the
same conditions and subtracted from the spectrum of each
protein sample Finally, the results were corrected for the
nonuniformity of the detector response by normalization to
the incoherent scattering of a 1.00 mm path-length water
sample
To check that protein aggregation did not occur during
the course of the measurements, one hour spectra were
recorded successively The number of spectra was chosen
according to the protein concentration so as to ensure the
same statistical accuracy for all measurements after
averag-ing No protein aggregation was observed during the SANS
experiments
Data analysis
With respect to the solvent alone, the excess neutron
intensity scattered forward from a protein solution is [33]
Iðq ¼ 0; P; cÞ ¼ kBTcðPÞ½KðPÞ2oPðP; cÞ
oc
1 T;P ð1Þ
where kBis Bolztmann’s constant, T the temperature (K) and P the pressure (MPa) c¼ c(P) is the protein concen-tration (gÆcm)3) and P(P,c) the osmotic pressure (MPa), both at pressure P
KðPÞ ¼ bp
NA
Mp
q0bðPÞvpðPÞ
ð2Þ
is the average specific contrast of the protein molecule with respect to the solvent bpis the coherent scattering length (cm) of a molecule and Mp its molar mass (gÆmol)1)
Mp@ 17.4 · 103gÆmol)1 for Mb in 2H2O [37] NA is Avogadro’s number vp(P) is the partial specific volume (cm3Æg)1) of the protein at pressure P q¢b(P) is the scattering-length density (cm)2) of the buffer at the same pressure As the salt concentration of the buffer is low it can
be regarded as pure2H2O Therefore its scattering length density is
q0bðPÞ ¼ b2 H 2 Oq2 H2OðPÞ NA
M2 H 2 O
ð3Þ
where b2 H 2 O is the coherent scattering length of a 2H2O molecule q2 H2O(P) and M2 H 2 O are the density (gÆcm)3) and the molar mass (gÆmol)1) of 2H2O, respectively At
20C, the pressure dependence of q2 H2O(P) has only been measured up to 100 MPa [38] Therefore, the left hand side of Eqn 3 was calculated using the values of the density of H2O as a function of pressure [39] assuming that the molarities, q/M, of2H2O and H2O are identical at 20C for pressures lower than 300 MPa Up
to 100 MPa this approximation leads to negligible errors compared to those resulting from small levels of hydro-gen contamination which always occur during sample preparation
As a first approximation, the partial specific volume of
Mb was assumed to be independent of pressure and to have the value vp(0.1)¼ 0.741 cm3Æg)1[40] at atmospheric pres-sure P@ 0.1 MPa Accordingly, in the following analysis of the scattering data the actual protein contrast given by Eqn 2 has been replaced by the quantity
K0ðPÞ ¼ bp
NA
Mp
q0bðPÞvpð0:1Þ
ð4Þ
where q0bðP Þ is given by Eqn 3
Using this expression and the virial expansion for the osmotic pressure, Eqn 1 can be rewritten as follows cðPÞ½K0ðPÞ2
Ið0;P;cÞ ¼
NA
Mp
K0ðPÞ KðPÞ
1þ 2A2ðPÞMpcðPÞ þ
ð5Þ where A2(P) is the second virial coefficient of the solution
It describes the interactions between pairs of solute molecules and provides an estimate of the nonideality of the solution A2(P) > 0for repulsive interactions between the solute molecules For relatively low solute concentrations, higher order terms in c(P) are negligible As both K0(P) and K(P) do not depend on c(P), a plot of c(P) [K0(P)]2/I(0,P,c) vs c(P) allows the value of A2(P) to
be determined The pressure dependence of the protein concentration was calculated by means of the expres-sion cðP Þ ¼ cð0:1Þq2 H 2 OðP Þ=q2 H 2 Oð0:1Þ, where c(0.1) and
Trang 3q2 H2Oð0:1Þ are the protein concentration and the density of
heavy water at atmospheric pressure, respectively As in
Eqn 3, the values of c(P) were calculated using the densities
of H2O
The SANS spectra from the protein were described by the
Guinier approximation [41]
Iðq; P; cÞ ffi Ið0; P; cÞ exp½q2R2gðP; cÞ=3 ð6Þ
where Rg(P,c) is the apparent value (nm) of the radius of
gyration of the protein at pressure P and concentration c(P)
For an almost spherical solute particle this approximation is
valid to within 1% for qRg(P,c) £ 1.3 [41] For a Mb
molecule, this corresponds to q £ 0.9 nm)1 All the SANS
spectra were collected within this range
The concentration dependence of the radius of gyration
can be accounted for by
½RgðP;cÞ2¼ ½RgðP; 0Þ2½1 þ 2B2ðPÞMpcðPÞþ
ð7Þ where Rg(P,0) is the actual value of the radius of gyration of
the protein and B2(P) a constant similar to A2(P) in Eqn 5
but with a different value For each pressure, Rg(P,0) can be
inferred from the intercept of the plot of [Rg(P,c)])2as a
function of c(P)
R E S U L T S
SANS measurements were performed at three protein
concentrations measured at atmospheric pressure: 5.7,
11.7, and 16.2 mgÆcm)3 Figure 1 shows the neutron
scattering spectra obtained at 54, 154, and 302 MPa for
the sample at 11.7 mgÆcm)3 For the spectrometer
config-uration used in these experiments, the first two points at the
lowest q-values are affected by a small contribution from
the direct neutron beam Consequently, no significant
increase of the scattered intensity is observed for the
smallest q-values This demonstrates that no protein
aggre-gation or oligomerization occurred in the samples,
irrespec-tive of the pressure
To determine the apparent value of the radius of gyration, Rg(P,c), of the MbN3molecule and the forward scattered intensity, I(0,P,c), Eqn 6 was fitted to these spectra and those from the samples at the other two concentrations
As shown in Fig 2, the values of the actual radius of gyration, Rg(P,0), at each pressure were inferred from
Rg(P,c) by extrapolation to c(P)¼ 0according to Eqn 7 Figure 3 shows no significant variation of Rg(P,0) within the studied pressure range The mean value of the actual radius of gyration of MbN3is Rg(P,0)¼ (1.52 ± 0.03) nm,
in good agreement with the results of previous SANS studies of horse and sperm whale Mb at atmospheric pressure and finite concentrations [37,42] Therefore, the reorganization of the secondary structure of Mb that has been observed by FTIR [23,24] does not affect the compactness of the protein
According to Eqn 5 the slope of the plot of c(P) [K0(P)]2/ I(0,P,c) vs c(P) allows the second virial coefficient, A2(P), to
0.15
0.20
0.25
0.30
0.35
0.40
0.45
Fig 1 Scattering spectra I(q,P,c) of MbN 3 at p2H 6.6, as a function of
the wave-number transfer q The measurements were performed at
room temperature The protein concentration, c, at atmospheric
pressure is 11.7 mgÆcm)3and the pressures, P, are: 54 (s), 154 (n), and
302 (h) MPa Fits of Eqn 6 to the data are shown as full lines.
c (mg·cm-3)
0.35 0.40 0.45 0.50 0.55
0.35 0.40 0.45 0.50 0.55
0.35 0.40 0.45 0.50 0.55
C B A
Fig 2 Reciprocal of the square of the apparent radius of gyration,
R g (P,c), as a function of MbN 3 concentration c(P) (A) P ¼ 54 MPa, (B) P ¼ 154 MPa, and (C) P ¼ 302 MPa The solid lines are linear regressions.
Trang 4be determined Figure 4 shows such plots for each studied
pressure The pressure dependence of A2(P) is given in
Fig 5 A2(P) decreases from 7.2· 10)4cm3ÆmolÆg)2 at
54 MPa to 5.6· 10)4cm3ÆmolÆg)2at 302 MPa The
posi-tive values of A2(P) indicate that the interactions between
two protein molecules are repulsive irrespective of the
pressure
The second virial coefficient of a macromolecular
solution can be estimated by means of the relation
A2ðP Þ ¼ 4p3=2wNA½RgðP ; 0Þ3M2
p [43,44], where w is a constant depending on the shape and the conformation of
the molecule For hard spheres w¼ 4pð5=3pÞ3=2= ¼
1:619 [45] If Mb molecules are regarded as hard spheres,
the second virial coefficient would be close to 2.1·
10)4cm3ÆmolÆg)2 The much larger value of A2(P) inferred
from the present SANS measurements at the lowest pressure
is not due to the ellipsoid shape of Mb [37,42] but to the
presence of electric charges on the protein surface and
possibly, to a high surface hydration Accordingly, the
weakening of the repulsive interactions with increasing
pressures can be attributed to either a decrease of the protein
charge due to changes of the pKs of the side chains or a
change of the protein hydration, or both these effects
As previously explained in Materials and methods, c(P)
[K0(P)]2/I(0,P,c) has been calculated assuming that the
partial specific volume of MbN3does not depend on the
pressure and keeps the value vp(0.1)¼ 0.741 cm3Æg)1 at
atmospheric pressure According to Eqn 5, {c(P)[K0(P)]2/
I(0,P,c)})1/2extrapolated to c(P)¼ 0is proportional to the
relative value of the actual protein contrast K(P)/K0(P)
Figure 6 shows how this quantity vary with applied
pressure As no aggregation occurred during the
experi-ments, any change in this ratio has to be ascribed to the
variation of the average contrast of Mb with pressure and
therefore to that of its specific volume vp(P) From the
almost linear variation of vp(P) with pressure shown in
Fig 7, the values of both the specific volume, vp(0.1), at
atmospheric pressure and the isothermal compressibility
jT;p¼ 1
vpð0:1Þ
ovpðPÞ oP
T
ð8Þ
of hydrated Mb can be readily inferred They are found
to be vp(0.1)¼ (0.741 ± 0.003) cm3Æg)1and jT,p¼ (1.6 ± 0.1) 10)4MPa)1at about 20C The value of vp(0.1) agrees well with that [40] used throughout the present analysis
D I S C U S S I O N Previous studies on Mb under high hydrostatic pressures were performed by means of typical spectroscopic tech-niques that give information on the active site and on the secondary structure All these investigations have shown that
c (mg·cm–3) 2.0
2.4 2.8 3.2 3.6
2 /I(0,P,c) (a.u.)
2.0 2.4 2.8 3.2 3.6
2 /I(0,P,c) (a.u.)
2.0 2.4 2.8 3.2 3.6
2 /I(0,P,c) (a.u.)
C B A
Fig 4 Plots of the quantity c(P)[K 0 (P)] 2 /I(0,P,c) as a function of the MbN 3 concentration c(P) at pressure P I(0,P,c) is the forward scattered intensity and K 0 (P) the protein contrast defined by Eqn 4 K 0 (P)
is calculated assuming that the partial specific volume of MbN 3 is independent of P and has an atmospheric pressure value
v p (0.1) ¼ 0.741 cm 3 Æg)1 According to Eqn 5, the slope of the solid regression lines is proportional to the second virial coefficient A 2 (P) (A) P ¼ 54 MPa, (B) P ¼ 154 MPa, and (C) P ¼ 302 MPa.
P (MPa)
1.2
1.3
1.4
1.5
1.6
1.7
1.8
Fig 3 Radius of gyration R g (P,0) of MbN 3 at p 2 H 6.6 at vanishing
protein concentration as a function of pressure, P.
Trang 5moderate pressures near 300 MPa induce subtle structural
rearrangements of the protein matrix whereas higher
pressures, near 1 GPa, lead to unfolding Pressure may
also induce changes in the heme structure and in the spin
state of the iron atom [17,18,20,21,26–29] Other studies of
proteins at high pressures have shown that they react as a
whole, simultaneously adapting their structure, their spatial
charge distribution and their interactions with the solvent
[2,3]
The present SANS measurements on MbN3 at
pres-sures up to about 300 MPa indicate that the structural
reorganization of the active site previously observed by
optical absorption in the UV-visible range [17,18,20,21],
Raman [26], and NMR [27–29] spectroscopies and the
secondary structure modifications observed by FTIR
through the amide I¢ band [23,24] are not related to a change of compactness of Mb as its radius of gyration remains constant This does not means that MbN3 remains in the native state up to 30 0 MPa More likely, the protein starts to denature at a lower pressure and becomes a slightly swollen molten globule The value of the radius of gyration given by neutron scattering is indeed rather insensitive to the early stages of protein unfolding This has been demonstrated for neocarzinos-tatine denatured by guanidinium chloride [46] In the FTIR studies it was suggested that, in addition to the strengthening of the hydrogen bond network with increasing pressure, the bonding of a C¼O group with
a N2H group and a water molecule may also occur This means that the protein may become more hydrated with increasing pressure [24] This increase of hydration might
be due to the appearance of a molten globule state as the pressure dependence of the second virial coefficient suggests that the surface hydration decreases with pressure
The present SANS study allowed the specific volume of MbN3 to be determined as a function of pressure It decreases by about 5.4% between atmospheric pressure and
300 MPa Within the uncertainties of the only three measurements carried out in this pressure range, the isothermal compressibility of hydrated MbN3 is almost constant Its value is jT,p¼ (1.6 ± 0.1) 10)4MPa)1 at about 20C Therefore, hydrated MbN3 is about two to three times as incompressible as H2O or2H2O at the same temperature The value of the isothermal compressibility of hydrated MbN3 compares well with that obtained by densimetry for staphylococcal nuclease at 25C:
jT,p¼ (1.1 ± 0.2) 10)4MPa)1between atmospheric pres-sure and 60MPa [47]
The above-mentioned values of the isothermal compress-ibility, jT,p, of proteins cannot be directly compared with those of the adiabatic compressibility, jS, inferred from ultrasound velocity measurements [48–53] According to Eqn 8, jT,p is a characteristic property of the hydrated protein alone whereas j is not as it is measured at constant
P (MPa) 0.63
0.65
0.67
0.69
2 /I(0,P,c)}
Fig 6 Plot of the quantity {c(P)[K 0 (P)]2/I(0,P,c)})1/2 at vanishing
protein concentration, c(P), as a function of pressure, P I(0,P,c) is the
forward scattered intensity and K 0 (P) the protein contrast defined by
Eqn 4 K 0 (P) is calculated assuming that the specific volume of MbN 3
is independent of P and has an atmospheric pressure value
m (0.1) ¼ 0.741 cm 3 Æg)1 Data for MbN at p 2 H 6.6 and 20 C.
P (MPa)
0.700 0.710 0.720 0.730 0.740 0.750
vp
3 g
– )
Fig 7 Partial specific volume v p (P), of MbN 3 as a function of pressure,
P The almost linear variation of m p (P) with P allows the isothermal compressibility of the hydrated protein to be computed: j T,p ¼ (1.6 ± 0.1) 10)4MPa)1.
P (MPa)
5
6
7
8
3 mol g
Fig 5 Second virial coefficient, A 2 (P), of MbN 3 at p2H 6.6, as a
function of pressure, P.
Trang 6entropy, S, of the solution As a result jSis also sensitive to
the thermodynamic properties of the solvent Nevertheless,
the value of jT,p can be inferred from that of jS if the
densities, the thermal expansions and the specific heats at
constant pressure of the solvent and the protein are known
[53]
Once the value of jT,pis obtained, in this way or better
still by means of densimetric or SANS measurements, it is
possible to estimate the adiabatic compressibility, jS,p,
characteristic of the hydrated protein This compressibility
at constant entropy of the hydrated protein is given by the
standard thermodynamic expression
jT;p¼ jS;pþ Ta2
pvp=CP;p ð9Þ where apand CP,pare the thermal expansion and the specific
heat at constant pressure of the hydrated protein,
respec-tively
jT,pand jS,pare important quantities because their values
provide an estimate of the magnitude of the different type of
movements inside the hydrated protein jS,p is the mean
amplitude of the vibrational motions, or phonons, whereas
(jT,p) jS,p) is that of the diffusive ones, associated with
heat diffusion
This first SANS study of myoglobin at high
hydro-static pressures shows that this approach not only gives
global structural information about the protein molecule
but also allows the protein–solvent interactions and the
isothermal compressibility of the hydrated protein to be
measured Such information is important in order to
understand the properties of proteins under pressure In
the future it would be beneficial to perform SANS
measurements at higher pressures in order to determine
the properties and the conformations of the various
denatured states
R E F E R E N C E S
1 Morild, E (1981) Theory of the pressure effects on enzymes Adv.
Protein Chem 34, 93–168.
2 Frauenfelder, H., Alberding, N.A., Ansari, A., Braunstein, D.,
Cowen, B.R., Hong, M.K., Iben, I.E.T., Johnson, J.B., Luck, S.,
Marden, M.C., Mourant, J.R., Ormos, P., Reinisch, L., Scholl, R.,
Schulte, A., Shyamsunder, E., Sorensen, L.B., Steinbach, P.J., Xie,
A., Young, R.D & Yue, K.T (1990) Proteins and pressure.
J Phys Chem 94, 1024–1037.
3 Silva, J.L & Weber, G (1993) Pressure stability of proteins Annu.
Rev Phys Chem 44, 89–113.
4 Mozhaev, V.V., Heremans, K., Frank, J., Masson, P & Balny, C.
(1996) High-pressure effects on protein structure and function.
Proteins 24, 81–91.
5 Heremans, K (1982) High-pressure effects on proteins and other
biomolecules Annu Rev Biophys Bioeng 11, 1–21.
6 Weber, G & Drickamer, H.G (1983) The effect of high pressure
upon proteins and other biomolecules Quart Rev Biophys 16,
89–112.
7 Weber, G (1987) In High Pressure Chemistry and Biochemistry
(van Eldik, R & Jonas, J., eds), pp 401–420 Reidel Publishing
Co., Dordrecht, the Netherlands.
8 Gross, M & Ja¨nicke, R (1994) Proteins under pressure The
influence of high hydrostatic pressure on structure, function, and
assembly of proteins and protein complexes E ur J Biochem 221,
617–630.
9 Kauzmann, W (1959) Some factors in the interpretation of
protein denaturation Adv Protein Chem 14, 1–63.
10 Boje, L & Hvidt, A (1972) Volume effects in aqueous solutions of macromolecules containing non-polar groups Biopolymers 11, 2357–2364.
11 Paladini, A.A & Weber, G (1981) Pressure-induced reversible dissociation of enolase Biochemistry 20, 2587–2593.
12 Rashin, A.A., Iofin, M & Honig, B (1986) Internal cavities and buried waters in globular proteins Biochemistry 25, 3619–3625.
13 Van Eldik, R., Asano, T & Le Noble, W.J (1989) Activation and reaction volume in solution Chem Rev 89, 549–688.
14 Royer, C.A (1995) Application of pressure to biochemical equi-libria: the other thermodynamic variable Methods Enzymol 259, 357–377.
15 Frye, K.J & Royer, C.A (1998) Probing the contribution of internal cavities to the volume change of protein unfolding under pressure Protein Sci 7, 2217–2222.
16 Zipp, A & Kauzmann, W (1973) Pressure denaturation of met-myoglobin Biochemistry 12, 4217–4228.
17 Ogunmola, G.B., Zipp, A., Chen, F & Kauzmann, W (1977) Effects of pressure on visible spectra of complexes of myoglobin, hemoglobin, cytochrome c, and horse radish peroxidase Proc Natl Acad Sci USA 74, 1–4.
18 Heremans, K & Bormans, M (1986) Pressure effects on heme proteins Physica 139&140B, 870–874.
19 Swanson, B.I., Agnew, S.F., Ondrias, M.R & Alden, R.G (1986) Optical spectroscopic studies of heme proteins at high pressure.
J Am Chem Soc 108, 341–343.
20 Heremans, K (1987) In High Pressure Chemistry and Biochemistry (van Eldik, R & Jonas, J., eds), pp 421–445 Reidel Publishing Co., Dordrecht, the Netherlands.
21 Alden, R.G., Satterlee, J.D., Mintorovitch, J., Constantinidis, I., Ondrias, M.R & Swanson, B.I (1989) The effects of high pressure upon liganted and deoxyhemoglobins and myoglobin An optical spectroscopic study J Biol Chem 264, 1933–1940.
22 Marden, M.C., Hui Bon Hoa, G & Stetzkowski-Marden, F (1986) Heme protein fluorescence versus pressure Biophys J 49, 619–627.
23 Le Tilly, V., Sire, O., Wong, P.T.T & Alpert, B (1992) pH dependence of hydrogen bond strengths in myoglobin a-helices Chem Phys Lett 192, 62–64.
24 Le Tilly, V., Sire, O., Alpert, B & Wong, P.T.T (1992) An infrared study of2H-bond variation in myoglobin revealed by high pressure E ur J Biochem 205, 1061–1065.
25 Smeller, L., Rubens, P & Heremans, K (1999) Pressure effect on the temperature-induced unfolding and tendency to aggregate of myoglobin Biochemistry 38, 3816–3820.
26 Galkin, O., Butcher, S., Tabirian, A & Schulte, A (1997) Pressure effects on the proximal heme pocket in myoglobin probed by Raman and near-infrared absorption spectroscopy Biophys J 73, 2752–2763.
27 Morishima, I., Ogawa, S & Yamada, H (1979) Nuclear magnetic resonance studies of the effects of pressure on the heme environ-mental structure of hemeproteins J Am Chem Soc 101, 70 74– 7076.
28 Morishima, I & Hara, M (1982) High-pressure NMR studies of hemeproteins Pressure-induced structural changes in the heme environments of cyanometmyoglobin J Am Chem Soc 104, 6833–6834.
29 Morishima, I & Hara, M (1983) High-pressure nuclear magnetic resonance studies of hemeproteins Pressure-induced structural changes in the heme environments of ferric low-spin metmyoglbin complexes Biochemistry 22, 4102–4107.
30 Hasinoff, B.B (1974) Kinetic activation volumes of the binding of oxygen and carbon monoxide to hemoglobin and myoglobin studied on a high-pressure laser flash photolysis apparatus Biochemistry 13, 3111–3117.
31 Adachi, S & Morishima, I (1989) The effects of pressure on oxygen and carbon monoxide binding kinetics for myoglobin.
Trang 7A high-pressure laser flash photolysis study J Biol Chem 264,
18896–18901.
32 Uchida, T., Ishimori, K & Morishima, I (2000) Unusual pressure
effects on ligand rebinding to the human myoglobin leucine 29
mutants J Biol Chem 275, 30309–30316.
33 Higgins, J.S & Benoıˆt, H.C (1994) Polymers and Neutron
Scattering, pp 195–203 Clarendon Press, Oxford, UK.
34 Pin, S., Royer, C.A., Gratton, E., Alpert, B & Weber, G (1990)
Subunit interactions in hemoglobin probed by fluorescence and
high-pressure techniques Biochemistry 29, 9194–9202.
35 Neuman, R.C., Kauzmann, W & Zipp, A (1973) Pressure
dependence of weak acid ionization in aqueous buffers J Phys.
Chem 77, 2687–2691.
36 Blanck, J., Graf, W & Scheler, W (1961) Kinetic studies on the
formation of metmyoglobin aggregates Acta Biol Med Germ 7,
323–326.
37 Glandie`res, J.-M., Calmettes, P., Martel, P., Zentz, C., Massat, A.,
Ramstein, J & Alpert, B (1995) Solvent-induced structural
distortions of horse metmyoglobin E ur J Biochem 227, 241–248.
38 Emmet, R.T & Millero, F.J (1975) Specific volume of deuterium
oxyde from 2 to 40C and 0–1000 bars applied pressure J Chem.
Eng Data 20, 351–356.
39 Haar, L., Gallagher, J.S & Kell, G.S (1984) NBS/NRC Steam
Tables Taylor & Francis, Bristol, UK.
40 Theorell, H (1934) Kristallinisches Myoglobin II Mitteilung:
Sedimentationkonstante und Molekulargewicht des Myoglobins.
Biochem Z 268, 46–54.
41 Guinier, A & Fournet, G (1955) Small-Angle Scattering of
X-Rays J Wiley & Sons, New York, USA.
42 Ibel, K & Stuhrmann, H.B (1975) Comparison of neutron and
X-ray scattering of dilute myoglobin solutions J Mol Biol 93,
255–265.
43 Douglas, J.F & Freed, K.F (1985) Renormalization of the parameter theory 2 Comparison with experiment and other two-parameter theories Macromolecules 18, 201–211.
44 des Cloizeaux, J & Jannink, G (1990) Polymers in Solution: Their Modelling and Their Structure Clarendon Press, Oxford, UK.
45 Douglas, J.F & Freed, K.F (1984) Penetration function and second virial coefficient for linear and regular star polymers Macromolecules 17, 1854–1870.
46 Russo, D., Durand, D., Calmettes, P & Desmadril, M (2001) Characterization of the denatured states distribution of neocarzi-nostatin by small-angle neutron scattering and differential scan-ning calorimetry Biochemistry 40, 3958–3966.
47 Seemann, H., Winter, R & Royer, C.A (20 0 1) Volume, expansivity and isothermal compressibility changes associated with temperature and pressure unfolding of staphylococcal nuclease J Mol Biol 307, 1091–1102.
48 Gekko, K & Noguchi, H (1979) Compressibility of globular proteins in water at 25C J Phys Chem 83, 2706–2714.
49 Gavish, B., Gratton, E & Hardy, C.J (1983) Adiabatic com-pressibility of globular proteins Proc Natl Acad Sci USA 80, 750–754.
50 Kharakoz, D.P & Sarvazyan, A.P (1993) Hydrational and intrinsic compressibilities of globular proteins Biopolymers 33, 11–26.
51 Chalikian, T.V., Totrov, M., Abagyan, R & Breslauer, K.J (1996) The hydration of globular proteins as derived from volume and compressibility measurements: cross correlating thermo-dynamic and structural data J Mol Biol 260, 588–603.
52 Kharakoz, D.P (2000) Protein compressibility, dynamics, and pressure Biophys J 79, 511–525.
53 Taulier, N & Chalikian, T.V (2002) Compressibility of protein transitions Biochim Biophys Acta 1595, 48–70.
... affected by a small contribution fromthe direct neutron beam Consequently, no significant
increase of the scattered intensity is observed for the
smallest q-values This demonstrates... radius of gyration given by neutron scattering is indeed rather insensitive to the early stages of protein unfolding This has been demonstrated for neocarzinos-tatine denatured by guanidinium... Calmettes, P & Desmadril, M (2001) Characterization of the denatured states distribution of neocarzi-nostatin by small-angle neutron scattering and differential scan-ning calorimetry Biochemistry