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Analytical Ultracentrifugationfor the characterization of
membrane proteinsbefore crystallization
Christine Ebel
Institut de Biologie Structurale,Laboratoire de Biophysique Moléculaire
UMR 5075 CEA-CNRS-UJF Grenoble France
SolvationStability
SolubilityProtein-protein interactions
Solvent, co-solvent, partner?
IFNg-Heparin
Halophilic proteins
•Molecular adaptation to high salt•Structural studies of complex systems
Membrane proteins
Properties of the solutions prior to macromoleculecrystallization?
For soluble proteins:
-Homogeneity
-Resulting for the presence of theprecipitating agent
=>weakly attractive attractionsbetween macromolecules
Complexity of solutions of membraneproteins
-composition of the solutions? homogeneity?Stability?
-Association state of the membrane proteinin crystallization condition.
-And about the weak interactions incrystallization conditions?
I. Analytical Ultracentrifugation and thecharacterization of solutions of solubilized MPs.Instrumentation and theory
II. Sedimentation velocity for sample homogeneity
III. AUC and particle composition:
IV. Weak interactions and AUC
Centrifugal field: F=mw2rw=60000 rpm; r=6-7cm =>300 000g
6.2 6.3 6.4 6.5 6.6 6.7 6.8 6.9 7
-0.1
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
abso
rban
ce [O
D]
Abs
orba
nce
radius5,8 5,9 6,0 6,1
Radius
Abso
rban
ce
Velocity: s , D :Mb/RH, RH Equilibrium: s / D :Mb=M(1-rv)
t: 24h
Recent data treatments are based on numerical solutions of the Lamm equationIf interacting particle: s and D are concentration dependant s;D=f(si;Di;ci)
t: 2h
s D QSedimentation Diffusion Chemicalcoefficient coefficient reaction
(¶c/¶t) = - 1/r . ¶/¶r [r(c s w2t - D. ¶c/¶r)] + Q
6.56.2 6.8
For an homogeneous ideal solute:
Transport equation: For each solute
fNvMs
A
)1( r-=
massbuoyant mass
Mb
D =RT / NA.f
f=6 p h RH
RH= f/f° R°
velocityof the particles
Parachutes : hppt://www.smm.org
s
spreadingfriction
particle distributionat equilibrium
relative density
shape, viscosity
0 2 4 6 8 10
0
2
4
6
8
10
12
BR-Dapol/bufferH s=1-10
s
c(s)
f72ip2 f72ra2l555 f72ra2l280
6,0 6,5 7,0Rayon
-0,50,00,51,01,52,0
Abs
orba
nce
Analytical ultracentrifugation
I. Analytical Ultracentrifugation and thecharacterization of solutions of solubilized MPs.Instrumentation and theory
II. Sedimentation velocity for sample homogeneity1. BmrA; 2. Hupon; 3. BR/Apol
III. AUC and particle composition
IV. Weak interactions and AUC
BmrA de Bacillus subtilis
X Data
6.2 6.4 6.6 6.8 7.00.0
0.5
radius (cm)6.2 6.4 6.6 6.8 7.0
resi
dual
s
-0.040.000.04
A(2
80 n
m)
s20,w (S)0 10 20 30 40 50
c(s)
0.0
0.5
1.0
A
B
C
BmrA 0.25 mg/ml 0.02%C12E8
6.2 6.4 6.6 6.8 7.0
0.0
0.5
radius (cm)6.2 6.4 6.6 6.8 7.0
resi
dual
s
-0.040.000.04
5 10 15 20
c(s)
0.0
0.5
1.0
A(2
76 n
m)
s20,w (S)
A
B
C
BmrA, 0.05%DDM
0.13, 0.5, 1.2 mg/ml
Ravaud et al (2006) Biochem. J.
0
2 4 6 8s (S)
c(s)
6 µM HUPON17,29mM C12E8140mM NaCl
6 µM HUPON11.54 mM C12E8280 mM NaCl
6 µM HUPON 10.81mM C12E8,280 mM NaCl
18 µM HUPON10.36 mMC12E8*
6 µM HuPON10.36 mMC12E8*
C12E8 ↓ HuPON ↑
Human Paroxonase
Josse et al (2002) J. Biol. Chem.
s20,w (S)3 5 7
0
1
radius (cm)6.5 7.0
A28
0
0
1
s20,w (S)5 10 15 20
c(s)
/c(s
) max
0
1
Bacteriorhodopsin trapped in Amphipol
Gohon et al (under correction) Biophys. J.
I. Analytical Ultracentrifugation and thecharacterization of solutions of solubilized MPs.Instrumentation and theory
II. Sedimentation velocity for sample homogeneity
III. AUC and particle composition1: BmrA; 2: new protocols in AUC; 3: AAC; 4: AcrB
IV. Weak interactions and AUC
6.2 6.4 6.6 6.8 7.0
0.0
0.5
radius (cm)6.2 6.4 6.6 6.8 7.0
resi
dual
s
-0.040.000.04
5 10 15 20
c(s)
0.0
0.5
1.0
A(2
76 n
m)
s20,w (S)
A
B
C
SV s20,w=8.9S
R6N)v1(M
fNMs
HAA
b
phr-
==
TLCδphospholip. = 0.07 g/g
r2/2 (cm2)
Abs
(1cm
, 279
nm)
0
1
2
22 23 24 25
resi
dual
s
-0.04
0.00
0.04
A
B
SE Mb=50kDa
BmrA, 0.05%DDMChr omatography of sample E2
500
1000
1500
2000
2500
0 2 4 6 8 10 12 14
Elut ion t ime
-2,00E-02
0,00E+00
2,00E- 02
4,00E- 02
6,00E- 02
8,00E- 02
1,00E- 01
1,20E- 01
[14C]DDM
RH=5.6nm δdet= 1,5 g/g
SEC
A280
M =110 kDa
Dimer: M = 132 kDa
s + RH Mb=47 kDa
+ δdet, δlip
BmrA is an active dimer in solution
SE Mb=50 kDa
0.13, 0.5, 1.2 mg/ml
Ravaud et al (2006) Biochem. J.
6,0 6,2 6,4 6,6 6,8 7,0 7,2
0
2
4
6 2A
Inte
rfere
nce
fring
es
radius (cm)
6,0 6,2 6,4 6,6 6,8 7,0 7,2
-0,2
0,0
0,2 2B
Inte
rfere
nce
fring
es
radius (cm)
Ca2+ATPase
6,0 6,2 6,4 6,6 6,8 7,0 7,2
0,0
0,4
0,8
1,2 1A
Abs
orba
nce
at 2
80 n
m
radius (cm)
0
1
2
3
4
5
6
1 3 5 7 9 11 13 15
sedimentation coefficient (S)
conc
entra
tion
(µM
)
Ca++ATPase100 mol DDM
c(s) analysis Schuck (2000)Multil analysis Balbo (2005)
==> Ca++-ATPase is a monomer with 0.75 - 0.9 g/g DDM
-Combining SV obtained with differentoptics-Varying the solvent density in SV-Combining with results from SEC
(Rs; bound detergent)
New protocols in Analytical Ultracentrifugation
Salvay & Ebel, Prog. in Colloid and Polym. Sci. (2006)AUC for the characterization of detergent in solution.
Salvay et al.submitted
The mitochondrial ADP–ATP carrier
Up to 10% of mito.membrane proteins
Particularly enriched in energydemanding tissuese.g. cardiac muscle
P 21 21 2 - 100 mM salt
Too far awayno interaction
Crystallography
Pebay-Peyroula et al., Nature, 2003C 2 2 21 - low saltNury et al., Febs Letters, 2004
CATR bindingstoechiometry
AUC Crosslink
2D crystals3D atomicstructure
1978 1980 1982 1995 2000 2003 2006 2007
SANSChimericdimers
?
dimer
SESEC
Negativedominance
Differentialtagging
monomer
2007
Bamber, Kunji, et al.
2005
Pebay-Peyroula, Nury, et col.
1000 detergents (10g/g)
1: Coupled AUC and SANS experiments in LAPAO
Similar to:
Same purification protocol as for crystal growth
Same samples for both techniques
Block et al., BBRC, 1982 (SANS)
The mixture is complex1 protein
170 lipids (3g/g)
LAPAO-lipids mixtures
H2O buffer D2O buffer
18 hours at 42000 rpm3 mm path length cells20°C
s = 0 S s = -0.75 S at 20°C
Behaviour is similar with or without treatment with Biobeads
LAPAO/lipids: v̅d+l close to 1.00 mL/g
LAPAO : v̅ d = 1.002 mL/g. Compatible with globular micelles with Nagg= 125
A 280
A 280
H2O
radius (cm)0
0.5
1
0 1 4
A 280
nm
5 radius (cm)
s [-0.2 -0.1]
D2O
0
1
2
0 1 4 5
0.06
-0.06
s = 1.06 S
D = 4.2 F
J/A = 7.23
δdet+lip=1.6 - 2.2 g/g
RH= 38 ± 2 Å
Mb= 6 ± 0.3 kDa
Calculated for Monomer
RH= 41 Å
Mb= 8.4 kDa
SV of AAC in H2O Solvent
If the shape of AAC is the same inH20 and D2O, (B,v) must be the
same in both solvents A28
0
AAC in H2O buffer AAC in D2O buffer
s=1.06S s [-0.2 -0.1]
H O2
D O2
Monomer
0.98 1.140.9
1.9
2.9
Bde
t+lip
(g/g
)
vdet+lip
AUC clearly indicates that AACin LAPAO is a monomer
incertitude on s1.25<f/fmin<1.5
Dimer
0.9
2.9
0.981.14
Bde
t+lip
(g/g
)
v
SANSRg ≈ 30 Å Mono: 20 Å Dim.: 30 ÅM ≈ 40 kDa Manon: 32 kDa Dim.: 65 kDa
calculated /estimated
SV in H2O and D2O solvents
6.0 6.2 6.4 6.6 6.8 7.00.0
0.5
radius (cm)6 7resi
dual
s
-0.03
0.03
s20,w (S)2 6 10
c(s)
0.0
0.5
A27
8
A
B
E
6.0 6.2 6.4 6.6 6.8 7.00.5
1.0
1.5
radius (cm)6 7resi
dual
s
-0.03
0.03
A27
8
C
D
6 70.0
0.5
1.0
radius (cm)
frin
ge s
hift
FA278fringe shift
Absorbance interference
Absorbance in TpD
Mean s= 5S
Calculated with f/fmin=1.25:monomer : s=2.6±0.1Sdimer : s=4.1±0.1Strimer : s=5.4±0.1Stetramer: : s=6.9±0.25S.
From J, A, sH, sD :BDet= 1.5 g/g; Blip=1 g/g
Compatible withBDet= 1.5 g/g and Blip=0.25 g/g
determined by Hackenberg (1980).
2: AAC/Triton X100
Hackenberg (1980)
simulation≈ same cond.: s=3.9; D=3.4 10-7 cm2.s-1
AUC clearly indicatesthat AAC in Triton X-
100 is a mixture ofmultimers
5.6 µM CusA, 6.7 mM FC14, 4°C
5.6 µM CusA, 2.1 mM DDM 6°C
4.9 µM AcrB, 0.7 mM DDM 6°C
Crystallizes
Does not crystallize
Stroebel, Sendra, Cannella, Helbig, Nies, Coves, BBA, 2007
CusA (E. coli) : Cu transport
homotrimeric AcrB
Does not crystallize
AcrB and CusA
Conclusion of Stroebel et al.
-Distribution of multimer rather insensitive to detergentconcentrationÞsoluble domains responsible for PP interactions?
Þ- Pseudo heterogeneity of the AcrB preparation isnot a contra-indication for crystallization.Þ-reach a protein concentration that allows theformation of multimer that could trigger the nucleation?
homotrimeric AcrB
I. Analytical Ultracentrifugation and thecharacterization of solutions of solubilized MPs.Instrumentation and theory
II. Sedimentation velocity for sample homogeneity
III. AUC and particle composition
IV. Weak interactions and AUCConclusion: Weak interactions, membrane proteins, AUC and SANS
( )( ) kTrW
22
e)r(gdrr)r(g1A
-=ò -µ
functionncorrelatiopair:)r(g
potentialeractionintparticleparticlemean:)r(W -
Non ideality, Why andHow? Measurement of A2
•Osmotic pressure•Static light scattering•Small angle X-rays scattering•Small angle neutron scattering•Equilibrium sedimentation
2A2M» ks + kD•Sedimentation velocity
- sedimentation coefficient- diffusion coefficient
1/M* = 1/M + 2A2c + ...
s = s° / (1+ ks c + …)D = D° . (1+ kD c + …)
A2: ml.mol.g-2; 2A2M: ml.g-1
sedimentation velocity when cs
Repulsion between particles
In an intuitive way
Larger objects at higher concentration:
Attraction between particles
is similar to auto-association
s when c
M* , size , D when c
Non ideality, Why andHow?
Sedimentation velocityfor the characterization of non-ideal systems?
Local s and D introduced in the Lamm equationin a modification of the program Sedfit (Schuck, 1998)
Direct boundary modeling by Lamm equation solution
XLI available in the laboratory, rapid method,recoverable protein, complex solvent.
Solovyova et al, Biophys. J. 2001
Non ideality, Why and How?
Fitting the exp. profiles of hMalDH 12.3 mg/ml in 4 M NaCl.
-0,2
0,0
0,2
resi
dual
s
-0,2
0,0
0,2
resi
dual
s
ks= kD= 0=>s=2.06S=> « D » =2.0 107cm2s-1
rmsd= 0.059 fringe
ks ¹ 0; kD¹ 0=>s°=2.37S=>D°=3.2 107cm2s-1
=>kS=12ml/g; kD=1ml/grmsd= 0.039 fringe
6,0 6,2 6,4 6,6 6,8 7,00
2
4
6
8
10(b)
frin
ges
radius (cm)
6,0 6,2 6,4 6,6 6,8 7,00
2
4
6
8
10(a)
frin
ges
radius (cm)
Non ideality, Why and How?
hMalDH from non-ideal fitting of sedimentation profiles and other methods
s° D° M(¶r¤¶c) M(¶r¤¶c) r° ks kD 2A2M 2A2Min NaCl (ks+kD) (SANS)
S 107cm2s-1 kg/mol kg/mol g/ml ml/g ml/g ml/g ml/g4 M NaCl
non-ideal fitting 2.36 3.0 19 21 1.153 9 2 11 9mean s and D 2.41 2.6 23 14 3 17
5 % MPD, 2 M NaClnon-ideal fitting 3.8 3.1 30 32 1.079 7 6 13 7mean s and D 3.8 8
30 % MPD, 1.5 M NaClnon-ideal fitting 1.74 1.1 39 39 1.047 -14 -4 -18 -26mean s and D 1.73 1.5 28 -13 -2 -15
Comparison of s° and ksobtained from linearextrapolation:
s = s° . (1 - ks c + …)1.6
2.4
3.2
4
0 2 4 6 8 10 12
s (S)
c (mg/ml)
4 M NaCl
30% MPD, 1.5 M NaCl
5% MPD, 2 M NaCl
Non ideality, Why andHow?
hMalDH from non-ideal fitting of sedimentation profiles and other methods
s° D° M(¶r¤¶c) M(¶r¤¶c) r° ks kD 2A2M 2A2Min NaCl (ks+kD) (SANS)
S 107cm2s-1 kg/mol kg/mol g/ml ml/g ml/g ml/g ml/g4 M NaCl
non-ideal fitting 2.36 3.0 19 21 1.153 9 2 11 9mean s and D 2.41 2.6 23 14 3 17
5 % MPD, 2 M NaClnon-ideal fitting 3.8 3.1 30 32 1.079 7 6 13 7mean s and D 3.8 8
30 % MPD, 1.5 M NaClnon-ideal fitting 1.74 1.1 39 39 1.047 -14 -4 -18 -26mean s and D 1.73 1.5 28 -13 -2 -15
Comparison of D° and kDobtained from QELS:
D = D° . (1 + kD c + …)
0
1
2
3
4
0 10 20 30 40 50
D (1
07 cm2 s-1
)
c (mg/ml)
4 M NaCl
30% MPD, 1.5 M NaCl
Non ideality, Why andHow?
hMalDH from non-ideal fitting of sedimentation profiles and other methods
s° D° M(¶r¤¶c) M(¶r¤¶c) r° ks kD 2A2M 2A2Min NaCl (ks+kD) (SANS)
S 107cm2s-1 kg/mol kg/mol g/ml ml/g ml/g ml/g ml/g4 M NaCl
non-ideal fitting 2.36 3.0 19 21 1.153 9 2 11 9mean s and D 2.41 2.6 23 14 3 17
5 % MPD, 2 M NaClnon-ideal fitting 3.8 3.1 30 32 1.079 7 6 13 7mean s and D 3.8 8
30 % MPD, 1.5 M NaClnon-ideal fitting 1.74 1.1 39 39 1.047 -14 -4 -18 -26mean s and D 1.73 1.5 28 -13 -2 -15
Caracterization of the weak interparticle interactions
•2A2M from SANS in the same order of magnitude (Costenaro et al., 2002)• In 4M NaCl, ks, kD and 2A2M compatible with excluded volume effects(RH=41Å, largest dimension of the crystal: 40Å)• In 30%MPD 1.5M NaCl, A2» -8 10-5 ml/mol.g-2, moderatly attractive conditions,nice crystals.• kD<<ks 2A2M≈ ks
0
5E-5
0 1 2 3 4 5
C3
Second virial coefficient :
: NaClO: MgCl2D: (NH4)2SO4
A2>0
A2<0A2= a22
(e) - a322/a33
?
(¶m3/¶m2)m, preferentialbinding parameter :
-200
-100
0
100
0 0,1m3/m1
Solvation and weak protein-protein interactions?
Conclusion
- discriminate P-Pand D-D
interactionsin crystallization
conditions
- SV and/or SANS
Acknowledgments
Gérard Brandolin - iRTSV GrenobleGuy Lauquin, Veronique Treguezet, Bertrand Arnoux - IBGC Bordeaux
Marc le Maire, Marie Jidenko Cea, Saclay
Stéphanie Ravaud, Attilio di Pietro, Richard Haser, Nushin Aghajari, IBCP Lyon
IBS Andres SalvayLBM Georgy Pavlov
Frank GabelAlexandra SolovyovaLionel Costenaro
Jean-Luc Popot, Yann Gohon, D. Charvolin, Tassadite Dahmane, F. Rappaport- IBPC ParisChristophe Tribet - ESPCI Paris R. Ruigrok - EMBL GrenobleP. Timmins - ILL Grenoble D. Engelman - Yale U. USA
IBS Jean-Michel Jault
Eva Pebay PeyroulaHugues Nury
David Stroebel, Denis Josse, CRESSA Grenoble
P Schuck - NIH Bethesda USA