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Tiêu đề Rotary F1-ATPase is the C-terminus of subunit c fixed or mobile?
Tác giả Martin Müller, Karin Gumbiowski, Dmitry A. Cherepanov, Stephanie Winkler, Wolfgang Junge, Siegfried Engelbrecht, Oliver Pänke
Trường học Universität Osnabrück, FB Biologie/Chemie, Abt. Biophysik
Chuyên ngành Biophysics
Thể loại Journal article
Năm xuất bản 2004
Thành phố Osnabrück
Định dạng
Số trang 9
Dung lượng 314,9 KB

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Based upon crystal structure analysis it has been hypo-thesized [9] and later shown by chemical cross-linking [10], by polarized absorption recovery after photobleaching [11], and most s

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Rotary F1-ATPase

Is the C-terminus of subunit c fixed or mobile?

Martin Mu¨ller, Karin Gumbiowski, Dmitry A Cherepanov, Stephanie Winkler, Wolfgang Junge,

Siegfried Engelbrecht and Oliver Pa¨nke

Universita¨t Osnabru¨ck, FB Biologie/Chemie, Abt Biophysik, Osnabru¨ck, Germany

F-ATP synthase synthesizes ATP at the expense of ion

motive force by a rotary coupling mechanism A central

shaft, subunit c, functionally connects the ion-driven rotary

motor, FO, with the rotary chemical reactor, F1 Using

polarized spectrophotometry we have demonstrated

previ-ously the functional rotation of the C-terminal a-helical

portion of c in the supposed ‘hydrophobic bearing’ formed

by the (ab)3hexagon In apparent contradiction with these

spectroscopic results, an engineered disulfide bridge between

the a-helix of c and subunit a did not impair enzyme activity

Molecular dynamics simulations revealed the possibility of a

‘functional unwinding’ of the a-helix to form a swivel joint

Furthermore, they suggested a firm clamping of that part of

c even without the engineered cross-link, i.e in the wild-type

enzyme Here, we rechecked the rotational mobility of the

C-terminal portion of c relative to (ab)3 Non-fluorescent,

engineered F1 (aP280C/cA285C) was oxidized to form a

(nonfluorescent) ac heterodimer In a second mutant, containing just the point mutation within a, all subunits were labelled with a fluorescent dye Following disassembly and reassembly of the combined preparations and cystine reduction, the enzyme was exposed to ATP or 5¢-adenylyl-imidodiphosphate (AMP-PNP) After reoxidation, we found fluorescent ac dimers in all cases in accordance with rotary motion of the entire c subunit under these conditions Molecular dynamics simulations covering a time range of nanoseconds therefore do not necessarily account for mo-tional freedom in microseconds The rotation of c within hours is compatible with the spectroscopically detected blockade of rotation in the AMP-PNP-inhibited enzyme in the time-range of seconds

Keywords: ATP hydrolysis; catalytic mechanism; F1 -ATP-ase; molecular dynamics calculation; motor protein

FOF1-ATP synthase of bacteria, chloroplasts, and

mito-chondria catalyses the endergonic synthesis of adenosine

triphosphate (ATP) from adenosine diphosphate (ADP)

and phosphate (Pi) using a transmembrane proton-motive

or sodium-motive force In reverse, FOF1 is capable of

generating ion-motive force at the expense of ATP

hydro-lysis The enzyme, in its simplest bacterial form (Escherichia

coli), consists of eight different subunits, a3b3cde in F1, the

catalytic headpiece, and ab2c10in FO, the ion-translocating

membrane portion Energy is mechanically transferred

between FOand F1by rotation of the central shaft (cec10),

relative to the stator subunits (a3b3dab2) Both complexes,

FOand F1, are rotary steppers (for recent reviews, see [1–8])

Based upon crystal structure analysis it has been

hypo-thesized [9] and later shown by chemical cross-linking [10],

by polarized absorption recovery after photobleaching [11],

and most spectacularly by videomicroscopy [12–14], that

ATP hydrolysis by isolated and immobilized F1-ATPase

drives the rotation of the central shaft, subunit c, relative to

the hexagon formed by subunits (ab)3 Portions of subunits

a and b provide a snug fit for the a-helical C-terminal portion of c, considered to form a ‘hydrophobic bearing’ and to be essential for rotary function [9] The functional rotation of the penultimate amino acid at the C-terminus of

c relative to the immobilized remainder of chloroplast F1

has been detected by polarized photobleaching (with eosin

as probe) [11,15–17] This finding was difficult to reconcile with the observation that up to 12 amino acid residues could

be deleted by site-directed mutagenesis without suppressing catalysis [18,19] or impairing c rotation [18] (Fig 1) It was even more difficult to reconcile with the lack of inhibition of ATP hydrolysis and c rotation after covalent disulfide-bridging subunits a and c at positions aP280C and cA285C [20] (Fig 1) One way to interpret this finding was to assume that the a-helix at the C-terminal portion of subunit c was unwound to provide swivel joints around one or several dihedral angles, in other words, that c under these conditions did not rotate in its entirety, but just in part Molecular dynamics simulations of ac cross-linked enzyme revealed that the torque generated by the enzyme

is sufficient to unwind the a-helix at the C-terminal portion

of c thus impelling the backbone rotation around Rama-chandran dihedral angles [20] Further calculations with the noncross-linked enzyme suggested a firm clamping of the C-terminal c portion within (ab)3(this work) This would make the proposed unwinding of the a-helix in c a feature of the wild-type enzyme and an integral element of the catalytic mechanism Such a permanent immobilization of the

Correspondence to O Pa¨nke, Universita¨t Osnabru¨ck, FB Biologie/

Chemie, Abt Biophysik, Barbarastr.11, D-49076 Osnabru¨ck,

Germany Fax: +49 541 969 2870, E-mail: opaenke@uos.de

Abbreviations: F O , ion-driven rotary motor of F-ATP synthase; F 1 ,

rotary chemical reactor of F-ATP synthase; AMP-PNP,

5¢-adenylyl-imidodiphosphate; DTNB, 5,5¢-dithiobis(2-nitrobenzoic acid);

TMR-ITC, tetramethyl rhodamine-5-isothiocyanate.

(Received 30 April 2004, revised 30 July 2004, accepted 6 August 2004)

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C-terminal portion of c, however, would contradict

previ-ously published spectroscopic results revealing its

ATP-dependent functional rotation [11,17]

We reassessed the rotational mobility of this portion of c

with cleavable cross-links similar to the approach used by

Duncan et al [10] The experimental design is shown in

Fig 2 By dissociation and reconstitution of appropriately

tailored F1 complexes fluorescent a subunits were

incor-porated into the two noncross-linked positions of subunit a

of the oxidized mutant MM10 (Fig 2) After reduction of

the nonfluorescent cross-linked ac the effects of ligand

binding and catalysis on the ability of the c-C-terminus to

reposition itself relative to specific a subunits was tested

Upon reoxidation we found fluorescent ac dimers after

catalytic turnover or substrate binding, and even if the

enzyme was left without nucleotides and phosphate The

formation of a fluorescent ac cross-link could be prevented only by omitting the reduction/reoxidation cycles alto-gether These data revealed the C-terminal portion of subunit c always to be (rotary) mobile at the time scale of this experiment, i.e within hours

Experimental procedures

Chemicals and enzymes All restriction and DNA modifying enzymes were obtained from New England Biolabs (Frankfurt/Main, Germany) or

Fig 1 Schematic representation of E coli F 1 and the calculated

unwinding of subunit c (A) Localization of the engineered cysteine

residues within E coli F 1 -mutant MM10 Two copies each of subunits

a and b are omitted for clarity Subunit a and b are on the left and the

right side, respectively Both point mutations, aP280C and cA285C,

are shown in black The 12 amino acid residues shown in spacefill

representation can be truncated without inhibition of the rotary

mechanism [18] Mutant MM6 has one cysteine, aP280C, only The

residue coordinates were from a homology model constructed

previ-ously [46] (B) Snapshots of c conformation during the forced

molecular dynamics calculated with the torque of 56 pNÆnm The

secondary structure of c is shown for the time of 1 ns (the end of initial

equilibration), 17 ns (half of turnover), 23 ns (one turnover) and 32 ns

(the end of final equilibration).

Fig 2 Experimental flow-chart to test the rotational motion of the C-terminal portion of subunit c Subunits a, b and c are shown as circles, squares and triangles, respectively Subunits shown in grey or white are labelled or unlabelled, respectively Hatched subunits are either labelled or not as a result of the reassociation process (see text for details) Small black dots indicate the engineered cysteines aP280C and cA285C.

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MBI Fermentas (St Leon-Rot, Germany) Benzonase was

from Merck (Darmstadt, Germany) Oligonucleotide

primers were synthesized by MWG-Biotech (Ebersberg,

Germany) Nickel-nitrilotriacetic acid superflow was

ob-tained from Qiagen (Hilden, Germany) and

tetramethyl-rhodamine-5-isothiocyanate (TMR-ITC) was from

Molecular Probes (Leiden, the Netherlands) All other

reagents used were of the highest grade commercially

available

Strains and plasmids

The plasmids pMM10 (aP280C/cA285C) and pMM6

(aP280C) were generated as described by Gumbiowski

et al [20] In both cases plasmid pKH7 (all wild-type

cysteines substituted by alanine [21], His6-tag extension at

the N-terminus of subunit b, cK108C [13]) was used as

starting material In brief, the mutation cA285C was

generated by standard PCR with pKH7 as template DNA

and using KpnI and SacI for transferring the PCR product

into pKH7 (resulting in plasmid pMM9) The mutation

aP280C was generated using a method described by Weiner

et al [22] with the subclone pMM3 [pBluescript II SK(+)

containing the KpnI/XhoI fragment of pKH7] as template

DNA The exchange of the KpnI/XhoI fragment of pKH7

with the corresponding fragment carrying the aP280C

mutation resulted in plasmid pMM6 Plasmid pMM10 was

generated by replacement of the KpnI/SacI fragment of

pMM6 with the corresponding fragment of pMM9 E coli

strains used were DH5a for plasmid preparation and DK8,

which contains a D(uncB-uncC) deletion [23], for expression

of E coli F1

Expression and purification ofE coli F1

Preparation of F1 was performed essentially as described

previously [18] except for the following modifications Cells

were now harvested at A600 1.8 Furthermore the buffer

for resuspension of the cells after harvesting contained no

EDTA-free protease inhibitor mixture tablet Instead, the

resuspended cells were incubated with‡ 375 U Benzonase

per 100 mL for 15–20 min at room temperature before Ribi

press passage (Ribi Cell Fractionator, Model RF-1, Sorvall,

Langenselbold, Germany) After elution of F1 from the

anion exchange column the solution was supplemented with

1 mMMgATP and 2 mMdithiothreitol Next, the protein

was precipitated with 3.2M(NH4)2SO4and stored at 4C

The yield was 2.5–3.0 mg protein per litre of culture volume

Cross-linking and labelling ofE coli F1

For cross-linking of F1mutant MM10 (aP280C/cA285C)

 15 mg protein were purified from (NH4)2SO4 and

dithiothreitol by gel filtration through PD-10 columns

(Amersham Biosciences, Freiburg, Germany), which were

equilibrated with 50 mM Tris/HCl, 50 mM KCl, 5 mM

MgCl2, 10% (v/v) glycerol, pH 7.5 (buffer A) The eluate

was supplemented with 2 mM ATP and 100 lM

5,5¢-dithiobis(2-nitrobenzoic acid) (DTNB) and the samples

were incubated for 16 h at room temperature The reaction

was stopped by addition of 20 mM N-ethylmaleimide

followed by a 10 min incubation at room temperature

The probe was purified by gel filtration through PD-10 columns, which were equilibrated with dissociation buffer (50 mMMes/NaOH, 1MLiCl, 5 mMATP, 0.5 mMEDTA,

pH 6.1) For labelling of the F1 mutant MM6 (aP280C) with the fluorescent dye TMR-ITC 30 mg protein were purified from (NH4)2SO4and dithiothreitol by gel filtration through PD-10 columns, which were equilibrated with

100 mM HEPES/NaOH, 50 mM KCl, 5 mM MgCl2,

pH 8.5 After determination of the protein concentration

a 50-fold molar excess of TMR-ITC was added and then incubated for 1 h at room temperature Free dye was removed by gel filtration through PD-10 columns with dissociation buffer The degree of labelling was determined

by measuring the absorbance of the purified sample at the absorbance maximum of TMR-ITC (kmax¼ 555 nm, e ¼

65000 cm)1ÆM )1) The degree of labelling was usually between 20 and 30 fluorescent dyes per F1-MM6

Dissociation ofE coli F1mutants and reconstitution

of hybrid-F1

Dissociation and reconstitution of F1 was performed essentially as described previously [10,24] After oxidation

of F1-MM10 and dye labelling of F1-MM6, the two F1 mutants were gel filtrated against dissociation buffer (see above), mixed in a ratio of 1 : 2 ( 10 mg F1-MM10 and

 20 mg F1-MM6) and frozen in liquid nitrogen The samples were thawed at room temperature and again frozen

in liquid nitrogen, and then stored at)80 C After thawing

at room temperature the dissociated samples were diluted to 0.5 mgÆmL)1 protein concentration with reconstitution buffer [50 mM Mes/NaOH, 10% (v/v) glycerol, pH 6.0] and then dialyzed (SpectraPor, Spectrum Laboratories Inc., Rancho Dominguez, CA, USA) against reconstitution buffer containing 2.5 mM MgATP for 16 h at room temperature

Reduction and reoxidation of hybrid-F1

Reconstituted hybrid-F1 was purified by nickel-nitrilotri-acetic acid affinity chromatography Columns were equil-ibrated with reconstitution buffer containing 2.5 mM

MgATP and bound product was washed with buffer A containing 20 mM imidazole After elution of purified hybrid-F1 with buffer A containing 150 mM imidazole (yielding 1.5 mg of protein per 3 mL eluate) the degree of labelling was determined as described above Typical values for the degree of labelling were 1–4 fluorescent dyes per hybrid-F1 Aliquots of reconstituted F1 samples were treated either with no nucleotide, with 4 mM 5¢-adenylyl-imidodiphosphate (AMP-PNP), with 4 mMAMP-PNP and

4 mM ADP, or with 4 mM ATP The samples were then reduced by addition of 20 mMdithiothreitol and incubation for 16 h at room temperature After another addition of

20 mM dithiothreitol and incubation for further 2 h the samples were purified by gel filtration through NAP-10 columns (Amersham Biosciences) and nucleotides were added as described above The following gel filtration buffers were used: (a) buffer A for the sample, which contained no nucleotide and the sample, which contained

4 mM ATP, (b) buffer A + 1 mM AMP-PNP for the sample, which contained 4 m AMP-PNP and (c) buffer A

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+ 1 mMAMP-PNP and 1 mMADP for the sample, which

contained 4 mMAMP-PNP and 4 mMADP The samples

were incubated for 2 h at room temperature and reoxidized

by a two-fold successive addition of 100 lM DTNB

followed by incubation at room temperature for 16 h and

2 h, respectively The reaction was stopped by addition of

20 mM N-ethylmaleimide and incubation for 10 min at

room temperature Samples were purified by gel filtration

through NAP-10 columns, which were equilibrated with

buffer A After each reaction/purification step aliquots were

taken for determination of ATP hydrolysis activity, protein

concentration and for SDS/PAGE

Molecular dynamics calculations

A three-dimensional model of the ‘hydrophobic bearing’ at

the C-terminal portion of c was built using the X-ray

structure of bovine enzyme (PDB entry 1E79 [25]) The

rotary shaft is comprised of 24 residues from the N-end of c

subunit (cA1–cK24) and 43 residues from its C-end (cT230–

cL272) The chosen portion included a major part of the

coiled-coil region of c and the complete a-helical C-terminus

as held within the top of (ab)3 The rotary axis z was aligned

along the main axis of the shaft The ‘bearing’ included a

total of 138 residues from the neighbouring portion of (ab)3

located within 1.8 nm from the rotary axis (70 residues

belonged to a and 68 residues to b) Hydrogen atoms and

terminal groups of the protein backbone were built by the

program CHARMM22 [26] The protein was ‘solvated’ by

TIP3 rigid water molecules [27], which formed a cylinder

with diameter of 3.6 nm and height of 7.6 nm In total, the

system contained 2952 protein atoms and 1104 water

molecules The molecular dynamics simulations were

per-formed with the programNAMD2 [28] using the all-atom

empirical force fieldCHARMM22 [26] A harmonic boundary

potential was applied to prevent water evaporation outside

the cylinder considered above The backbone atoms of the

‘bearing’ were constrained at their crystallographic

posi-tions, while other protein atoms were unconstrained The

electrostatic interactions were truncated by a cut-off

distance of 1.2 nm The system was equilibrated during

1 ns, and then the rotation of c was forced by a constant

torque applied to the coiled-coil portion of c at the level of

cK18–cK21 and cD233–cS236 residues The torque was

created by external forces acting on the two groups of four

carbon atoms each The first group included the Caatoms of

cK18, cI19, cT20 and cK21, and the second group Ca

atoms of cD233, cN234, cA235 and cS236 The magnitude

and direction of the forces was calculated at every step of the

molecular dynamics integration (1 fs step width) by a Tcl

script (http://www.tcl.tk) using the current position of the

geometrical center of each group relative to the z-axis

Ab initio quantum chemistry calculations

These calculations were carried out within the limits of the

ab initioHartree–Fock method in the 6–311++G basis set

using theGAMESSprogram complex [29] The model system

included an Ala-Gly dipeptide in the neutral state with an

amidated C-terminus The equilibrium configuration of this

dipeptide was obtained by the geometrical optimization in

the molecular mechanics force field, followed by

semi-empirical AM1 minimization, and finally by ab initio minimization in the 6–311++G basis set The potential energy profiles along w and / dihedral coordinates were calculated by the rotation of the dipeptide in discrete equidistant 15 steps with the subsequent complete geom-etry optimization in the 6–311++G basis at the fixed values for w or /, respectively The potential energy of the optimized structure was calculated in the 6–311++G basis set using the second-order Mo¨ller–Plesset configuration-based correlation method [30]

Other procedures ATP hydrolysis activity was measured by determination of released Piafter incubation of the enzyme for 5 min at 37C

in a reaction mixture containing 50 mM Tris/HCl, 3 mM

MgCl2, 10 mM NaATP, pH 8.0 The blue-coloured phos-phomolybdate complex was photometrically detected at a wavelength of 745 nm [31] SDS/PAGE was carried out in the Amersham Biosciences Phast system (Amersham Bio-sciences) without 2-mercaptoethanol in the sample buffer Gels were stained with Coomassie Brilliant Blue R-250 [32] and silver [33] Protein determinations were carried out according to the method of Sedmak & Grossberg [34]

Results

In the two E coli F1mutants, MM10 and MM6, used in this study, all wild-type cysteines were substituted by alanines, one novel cysteine in c (K108C) was introduced and a His6-tag at the N-terminus of subunit b was added [13] MM10 contained two additional cysteines in positions aP280C and cA285C, and was capable of forming a cross-link upon oxidation with a yield of more than 98% [20] Mutant MM6 contained only one additional cysteine in position aP280C In E coli strain DK8 both mutants grew

on succinate as well as the control (KH7 [13]) After isolation and purification, ATPase activities under reducing conditions were in the range of 130–160 UÆmg)1for both mutants, without noticeable amounts of cross-linked ac (Fig 3, lanes 1 & 3) Figure 2 summarizes the protocol used

to test the rotational mobility of the C-terminal portion of subunit c

Cross-link formation and labelling Mutant MM10 showed formation of an ac heterodimer upon oxidation with DTNB After 16 h incubation, the c monomer had disappeared completely, as checked by SDS/ PAGE (Fig 3, lane 1 & 2) MM6 failed to do so, as expected (Fig 3, lane 3 & 4) Despite the cross-link MM10 showed normal ATP hydrolysis activities and c rotation [20] This was previously interpreted such that the torque generated by ATP hydrolysis is sufficient to uncoil the a-helix in the C-terminal portion of subunit c [20] MM10 served as source for nonfluorescent ac hetero-dimers For the incorporation of fluorescent a subunits into the two nonfluorescent a positions within F1, mutant MM6 was labelled with the amine-reactive fluorescent dye TMR-ITC Conditions were chosen to ensure a labelling by 20–30 TMR molecules per molecule of MM6 As shown in Fig 3, lane 5, the labelling affected all five F subunits An

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additional band of high molecular mass as apparent in the

SDS gel was shown by Western blotting to consist of a

subunits only, but not c [20]; probably an aa homodimer

It should be noted that MM6 could not form an ac

heterodimer because it lacked the essential cysteine residue

(cA285C; Fig 3, lane 4)

Reconstitution of hybrid-F1

Labelled MM6 and cross-linked MM10 were dissociated by

a freeze-thaw procedure in the presence of 1M LiCl

according to [10,24] The samples were mixed at a ratio of

2 : 1 (MM6/MM10), dissociated, diluted and dialyzed

against reconstitution buffer containing 2.5 mM MgATP

By application of nickel-nitrilotriacetic acid affinity

chro-matography, we obtained a solution containing a mixture of

labelled hybrid-F along with unknown amounts of His

-tagged b Starting with 30 mg of F1, about 1.5 mg protein were obtained from the nickel-nitrilotriacetic acid column, i.e 5% Assuming a homogeneous hybrid-F1preparation, labelling ratios of 1–4 fluorescent dye molecules per F1were determined Two types of hybrid-F1species were expected, depending on the origin of c One population of F1 complexes was expected to contain nonfluorescent ac heterodimers originating from mutant MM10, whereas the second type should contain fluorescently labelled c from MM6 Both types were expected to contain both fluorescent and nonfluorescent subunits a and b (Fig 2) The latter type was unimportant in this context, as these enzymes lacked the capability to form fluorescent ac cross-links, due to the absence of the point mutation cA285C Figure 3, lane 6, shows the result of the SDS/PAGE of the hybrid-F1 preparation The absence of c monomers in the SDS gel indicated that the first type of hybrid-F1 molecules, containing nonfluorescent ac heterodimers, was formed exclusively during the reconstitution procedure The reason for the absence of hybrid-F1containing fluorescent subunit

c from MM6 is unknown Possibly, attached TMR molecules prevented the formation of reassembled enzymes due to steric hindrance Fluorescent a subunits were present

in hybrid-F1molecules, as was evident from the fluorescence image of the SDS gel (Fig 3, lane 6) The ab band, as well as the aa homodimer band, were fluorescent The activities of hybrid-F1were dependent on the resulting labelling ratio Preparations with labelling ratios of about one dye molecule per protein molecule had activities of 110 UÆmg)1, which were close to the original activities of the mutants MM10 and MM6 (130–160 UÆmg)1) At ratios of about four the activity was about 40 UÆmg)1 This decrease, however, was probably not only caused by the fluorescent dye, but also by the presence of nonfunctional reassembled enzyme and single b subunits

Rotational mobility of the C-terminal portion of subunit c Hybrid-F1, which contained the nonfluorescent ac cross-link, was expected to reveal fluorescent ac heterodimers after reduction of the disulfide bridge, followed by rotation

of c upon ATP hydrolysis and subsequent reformation of the disulfide bridge To this end, aliquots of reconstituted F1 samples were exposed to (a) no nucleotide at all, (b) AMP-PNP, (c) AMP-PNP and ADP, or (d) ATP Samples were reduced by addition of dithiothreitol followed by gel filtration in the presence of the respective substrate Afterwards, the disulfide bridge was reformed by addition

of DTNB After each reaction/purification step samples were taken for determination of ATP hydrolysis activity and SDS/PAGE

Table 1 summarizes the activities of all samples In order

to compare the values from different experiments with different labelling ratios the activities were normalized with respect to the activity of the primary nickel-nitrilotriacetic acid eluate The relative activities remained unchanged during the whole reduction/reoxidation procedure The high activity of the oxidized samples and the quantitative cross-linking of subunit c with a (SDS gel in Fig 3, lanes 8,10,12,14) suggested the unwinding of the a-helix of subunit c in hybrid-F1 molecules, as seen before with MM10 [20] The lack of inhibition by AMP-PNP is

Fig 3 SDS/PAGE (A) and the corresponding fluorescence images (B).

An 8–25% gradient gel (Amersham Biosystems Phast system) with 2%

(w/v) SDS was used and stained with Coomassie Brilliant Blue R-250

[32] followed by silver [33] The protein concentration was 3 mgÆmL)1;

each lane contained 0.9 lg protein Lanes 1–5 show the starting

material, F 1 mutants MM10 and MM6, in the reduced and oxidized

state as indicated MM6 in lane 5 was labelled with 24 dye molecules.

Lane 6 was the hybrid-F 1 preparation before substrate incubation.

Lanes 7–14 show the reduced and reoxidized enzyme under different

substrate conditions, as indicated The nucleotide concentration was

4 m M for all nucleotides, throughout Lane 15 shows hybrid-F 1 , which

was handled like the other samples but was never reduced (control).

The labelling ratio of hybrid-F 1 was 1–4 TMR molecules per F 1

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understandable, because the samples were diluted during

the activity assay and added ATP displaced the residual

amounts of AMP-PNP and ADP from the catalytic sites of

the enzyme Activity measurements in the presence of 1 mM

AMP-PNP or a mixture of 1 mM AMP-PNP and 1 mM

ADP showed complete inhibition

Figure 3 shows the corresponding SDS/PAGE analysis

of the samples after each reaction step and Table 2

summarizes the fluorescence intensities of the

correspond-ing gel bands After reduction of the hybrid-F1preparation

a c monomer band became clearly visible and a minor

amount of ac heterodimers was not reduced (Fig 3, lanes

7,9,11,13) As expected, the reoxidation of the samples

intensified the ac bands again and the c bands disappeared

completely (lanes 8,10,12,14) At the same time the ac

heterodimers showed fluorescence, consistent with a

rota-tional movement of the C-terminal portion of subunit c

This behaviour was independent of the applied substrate

conditions Even with PNP and a mixture of

AMP-PNP and ADP a fluorescent ac band was observed This

was surprising because the ATP analogue AMP-PNP is

known to stabilize F1 complexes and was added to

crystallization media in X-ray structure analysis [9,35–38]

To exclude that the fluorescent ac heterodimer was formed

due to impurities (e.g nonreconstituted subunits) a control

sample was treated like the other samples with respect to

incubation times, gel filtration, etc., but without being

reduced This control sample showed a strong ac band in

the SDS gel, but no fluorescence (Fig 3, lane 15) We

checked whether or not a fluorescent ac dimer was formed

after reduction due to a continuous disassembly/assembly

mechanism of F1 molecules For this purpose we labelled wild-type-F1enzymes (BWU13 [39]), with TMR-ITC and mixed them with an unlabelled F1mutant, KH7, carrying a His6-tag at the N-terminus of subunit b [13] After overnight incubation, both mutants were separated by nickel-nitrilotriacetic acid chromatography The eluted His6-tagged F1 remained nonfluorescent (< 3%), thus excluding any interchange of subunits Nevertheless, it was apparent that the fluorescence intensity of the ac bands in all reoxidized samples was rather weak, although the SDS band was very intense This was not surprising, because not all inserted a and b subunits were labelled and only a maximum of two-thirds of all ac heterodimers could have contained a fluorescent a subunit In fact, our results show that about 14% of the total intensity was located in the ac band (Table 2)

Molecular dynamics simulations of the rotary mobility of

cwithin the ‘hydrophobic bearing’ at the top of a3b3

The molecular model of the rotary part of c and the surrounding part of (ab)3was constructed as described in Experimental procedures using available model coordinates [9] Unlike previous simulations with the a-helical terminus

of subunit c from E coli, the present simulations included a large portion of the ‘hydrophobic bearing’ at the top of a3b3 and the rotation of c was restricted only by steric interactions with this hydrophobic collar The system was equilibrated for 1 ns, after that a rotary motion of c was forced by a constant torque applied to its coiled-coil portion

at the level of cK18–cK21 and cD233–cS236 The simula-tions included two traces obtained with the applied torque

of 56 and 112 pNÆnm, respectively (the average torque generated by the enzyme at physiological conditions has been found to be as high as 56 pNÆnm [40]) The angular displacement of c as a function of time (calculated at the level where the torque was applied) is shown in Fig 4 The right curve in this figure was obtained with a torque of

56 pNÆnm and the left one with a torque of 112 pNÆnm, the arrows show the beginning (t¼ 1 ns) and the end (t ¼

23 ns) of the forced rotation With 56 pNÆnm torque, the relaxation of the system was calculated during the last 8 ns

of the dynamics In both cases the applied torque caused a complete unfolding of the single-helical portion of c at the level of cR254–cV257 residues, a partial deformation of the double-helical part of c, but the C-terminal portion of c was tightly clamped within (ab)3and kept its initial conforma-tion and orientaconforma-tion

Table 1 Normalized activities of hybrid-F 1 preparations After

recon-stitution and purification the hybrid-F 1 preparations had activities

between 40 and 110 UÆmg)1, depending on the resulting labelling ratios

(dye/protein), which had values between 4 and 1, respectively In order

to compare different experiments with different dye contents the

activities were normalized to 100 with respect to the activity of the

primary nickel-nitrilotriacetic acid eluate.

Substrate for incubation

None ATP AMP-PNP AMP-PNP + ADP

Nickel-nitrilotriacetic

acid eluate

100 100 100 100

Reduced 120 149 102 112

Reoxidized 113 134 119 104

Table 2 Fluorescence intensities of the SDS gel bands The fluorescence shown in Fig 3 was analyzed with the GELPRO ANALYSER software from Media Cybernetics (Silver Spring, MD, USA) The band intensities were baseline corrected and normalized to 100 with respect to the total intensity

of all bands in each sample lane Red, reduced; Reox, reoxidized: Ox, oxidized.

Band

Substrate for incubation

Trang 7

With 56 pNÆnm torque, the secondary structure was

stable during the first 10 ns, after that a partial unfolding

began by a rotation of the peptide backbone between cA256

and cV257 residues The initial conformational transition

included a simultaneous shift of the Ramachandran angle w

of cA256 by +120 and of the angle / of cV257 by)90

After this initial unfolding event, further unfolding

occurred, mainly due to rotation around w angles of

cR254, cA256, cQ255 and cV257 residues At the end of

forced dynamics, the angle w of cA256 made a full turnover

by +360 When the external torque was switched off at

t¼ 23 ns, the warped double-helical part of c underwent an

elastic relaxation back to its initial outstretched

conforma-tion, whereas the conformation of cR254–cV257 residues

remained uncoiled

When a twofold higher torque of 112 pNÆnm was

applied, the secondary structure a-helix was broken after

2.5 ns of the forced dynamics, the initial unfolding event

included almost simultaneous changes of Ramachandran

angles w of cR254 and cA256 by +120 and angles / of

cQ255 and cV257 by)90 The further rotation of c was

caused mainly by rotation around w-angles of cR252,

cT253, cA256 and cV257 residues The residues cR252 and

cT253 made more than one turnover around w-angle

In both cases the molecular dynamics simulations revealed

that rotation around the w Ramachandran angle was

preferred over that around / We calculated the potential

barrier for the rotation around w and / angles in the

dipeptide Ala-Gly by ab initio quantum chemistry (program

GAMESS [29] using Pople’s 6–311++G basis set and the

second-order Mo¨ller–Plesset configuration-based

correla-tion method) The potential barriers for the rotacorrela-tion along

the w and / dihedral angles were 30 and 38 kJÆmol)1,

respect-ively These values were about 25% higher than the figures

obtained by the molecular mechanics calculations [20]

The calculations indicated that in the crystallographic structure the C-terminal portion of c seems to be tightly clamped within the ‘hydrophobic bearing’ at the top of (ab)3 The steric constraints on the c rotation in this region were essentially bigger than the rigidity of the single a-helix The secondary structure of the latter could be easily unfolded when the operational torque of 56 pNÆnm was applied to the rotary shaft At this magnitude of torque the rotation around Ramachandran angles in the region of residues cT253–cV257 (cA267–cS271 in E coli F1 [41]) proceeded with a rate of 108s)1, four orders of magnitude faster than the observed rotary transitions in the enzyme [42] Because the molecular dynamics simulations were performed with the frozen tertiary conformation of (ab)3, it remained unclear whether large-scale fluctuations of the (ab)3structure can open the ‘bearing’ at the time scale of ls

to ms that is required for a rotation of c as a whole within (ab)3.

Discussion

This study was motivated by the previous finding that a mutant F1 (MM10) with a disulfide bridge engineered between the stator subunit a and the C-terminal portion of the rotary shaft, subunit c, showed unimpaired ATPase activity and full torque in the videomicroscopy assay for rotation [20]

The robustness of the bearing collar of (ab)3 and the rotational shaft, c, has been demonstrated by other approaches: up to 12 amino residues at the C-terminal portion of subunit c were dispensable for catalysis and rotation [18,19] The C-terminus could be extended by

16 amino acid residues without drastic consequences (a frameshift accompanied by b suppressor mutations) [43] Green fluorescent protein could be fused to the C-terminus of c without loss of enzyme function [44] The crystal structure clearly pointed to limited freedom of

c to rotate other than around its long (‘vertical’) axis (original suggestion by Abrahams et al [9]) and in the

‘hydrophobic bearing’ formed by subunits a and b around the C-terminal portion of c Molecular dynamics calcula-tions ([20] and this work) suggested the unwinding of the single a-helix at the C-terminal portion of c, thus allowing for unimpaired rotation of the remainder of c Furthermore, the calculations suggested the very end of c to be clamped within the N-terminal collar of subunits (ab)3permanently and even without a disulfide bridge (this work), in seeming contradiction with previous work employing the polarized photobleaching of eosin [11,17]

The data presented here are clearly indicative of a movement of the C-terminal portion of subunit c relative to (ab)3 within the time domain investigated, because the originally cross-linked ac heterodimer consisted only of nonfluorescent polypeptides, whereas after reduction/reoxi-dation the respective band contained fluorescent a More-over, the appearance of the fluorescent band was not dependent on conditions allowing for ATP hydrolysis The protocol we used did not (as with the original one [10]) allow discrimination between translational or rota-tional movement of c Because the microvideographic data [12], however, clearly demonstrated unidirectional c rota-tion upon ATP hydrolysis (even in the millisecond time

Fig 4 Forced rotation of c within (ab) 3 The molecular model included

the central a-helical shaft (it covered the 3.2 nm long single-helical and

the 3.2 nm long double-coiled portions of c) and 138 residues of (ab) 3

located within a 7.6 nm long cylinder at the distance up to 1.8 nm from

the rotation axis The constant torque of 56 and 112 pNÆnm (the

steeper and flatter curves, respectively) was applied to the two groups

of four C a atoms located one turn above the lower end of c The

arrows indicate the time interval of forced dynamics, after that the

system relaxation was monitored during 8 ns.

Trang 8

range [42]), we interpret our findings also as indicative for

rotation, not just translation, even though some data

reported in the literature are still not compatible with the

concept of rotational catalysis [45]

Whether the same holds true for the AMP-PNP

experi-ment is more difficult to decide Compared to the results of

Duncan et al [10], where the corresponding disulfide bridge

was located close to the DELSEED sequence (bD380C/

cC87), we found fluorescent ac heterodimers even without

catalytic activity and in the presence of AMP-PNP This

finding is in contrast with our previous observation by

polarized photobleaching [11,17], which revealed blockage

of the functional rotation of c in some milliseconds by

added AMP-PNP, but it agrees well with the data of

Duncan et al [10], where c was allowed to rotate for about

10 min In the presence of ATP, they observed an increased

amount of radiolabelled bc dimers, compatible with c

rotation The yield of radioactive bc was decreased to about

30% upon inhibition or in the absence of ATP, but not to

zero (Figs 3 and 4 in [10]) In other words, in these

experiments also, movement of c could not be blocked

entirely over a long time span

Movement of c was probably possible within the time

scale of hours dictated in our approach by the required

protocol, as AMP-PNP might have been dissociated and

rebound occasionally Whether c under these conditions

was able to carry out full rotation remains an open question,

at least its rotational or translational freedom sufficed to

allow interaction with another a subunit than the one it was

connected to originally An inspection of the X-ray

struc-ture, however, raises serious doubts about whether just a

‘bending’ movement of this portion of c might occur at all

and also at the same time be sufficient to induce the

observed cross-link A rotational movement, this time

perhaps only around 120 and without preferential

direc-tion, thus would seem more plausible

Why has the molecular dynamics calculation produced a

different result? Ignoring the limited section of the enzyme

that entered into the calculations and the fixed backbone at

the N-terminal portion of a and b, a simulation covering

some nanoseconds still cannot account for domain flexibil-ity in the range of microseconds Evidence for such fluctuations was obtained in our previous studies The rotational relaxation of the eosin attached to the C-terminal portion of chloroplast c had components in the nanosecond time range, but also another one at 30 ls (Fig 4 in [17]) These components have been interpreted to reveal the librational motion of the dye molecule in narrow constraints (ns) and subsequently in wider constraints by fluctuations (30 ls) of the N-terminal collar of (ab)3 The different methodological approaches, the time domains they apply

to, and the associated mobility of subunit c are summarized

in Fig 5

The emerging picture is that the central shaft of F1never comes to a full halt; c is free to slowly rotate back and forth

in the time range of minutes to hours, owing to the exchange

of bound substrates or inhibitors ATP hydrolysis, on the other hand, causes rapid unidirectional rotation in millisec-onds and predominates so that futile mobility escapes detection in activity assays Solely in the time range of nanoseconds the C-terminal portion might be permanently clamped as proposed by the molecular dynamics calcula-tions A remarkable exception is the cross-linked mutant MM10, where ATP hydrolysis-induced rotation overcomes the artificial clamping of the C-terminal portion probably

by unwinding the a-helix to form a swivel joint

Acknowledgements

Skillful technical assistance by Gabriele Hikade and Hella Kenneweg is gratefully acknowledged This work was supported by grants from the DFG (SFB 431/P1) to W.J and S.E., by the HSFP to W.J., by the Volkswagenstiftung to W.J and O.P., and the Fonds der Chemischen Industrie to W.J.

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