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Tiêu đề Binding of ligands originates small perturbations on the microscopic thermodynamic properties of a multicentre redox protein
Tác giả Carlos A. Salgueiro, Leonor Morgado, Bruno Fonseca, Pedro Lamosa, Teresa Catarino, David L. Turner, Ricardo O. Louro
Trường học Universidade Nova de Lisboa
Chuyên ngành Biochemistry
Thể loại báo cáo khoa học
Năm xuất bản 2005
Thành phố Oeiras
Định dạng
Số trang 10
Dung lượng 238,67 KB

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Comparison of these results with data for the isolated cytochrome shows that binding of ligands causes only small changes in the reduction potentials of the haems and their pairwise inte

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microscopic thermodynamic properties of a multicentre redox protein

Carlos A Salgueiro1,2, Leonor Morgado1,2, Bruno Fonseca1,2, Pedro Lamosa1, Teresa Catarino1,2, David L Turner3and Ricardo O Louro1

1 Instituto de Tecnologia Quimica e Biolo´gica, Universidade Nova de Lisboa, Portugal

2 Departamento de Quimica da Faculdade de Cieˆncias e Tecnologia da Universidade Nova de Lisboa, Portugal

3 School of Chemistry, University of Southampton, UK

The structural aspects of protein complexes have

received considerable attention and several

experimen-tal and computational methods for the structural

determination of complexes exist [1] Redox proteins

usually form transient complexes that can be studied

using NMR methods, which, in addition to the

struc-tural characterization, also provide information on the

lifetime and dynamics of the bound forms [2,3]

Trans-fer of electrons between redox proteins at rates

com-patible with metabolic processes requires the proper

orientation of the partners for close approximation of

the redox centres of the donor and acceptor, and that

the reduction potentials ensure a favourable driving

force, which is one of the main determinants of the

rate of electron transfer [4] Experimental

measure-ments of the reduction potentials of proteins involved

in complexes have been reported [5–7], but the effect

of partner binding on the microscopic properties of the

redox centres in proteins with multiple centres has not been addressed in detail yet

Cytochromes c3 from sulfate-reducing bacteria are small soluble proteins containing four haems, and have been assigned a fundamental role in the bioenergetic metabolism of these organisms, mediating the flow of electrons from periplasmic hydrogenases to respiratory transmembrane electron transfer complexes coupled to the transfer of protons [8–11] Several cytochromes c3 have been isolated and characterized in great detail with respect to structure (for a recent revision of struc-tural work see [12]), equilibrium thermodynamic prop-erties [9,13–17] and transient kinetic propprop-erties [17–19] These studies have shown that cytochromes c3 have the required thermodynamic properties to perform a coordinated transfer of two electrons coupled to the transfer of protons in agreement with their proposed physiological role as partners of hydrogenase [8,20,21]

Keywords

cytochrome c3; electron transfer; NMR;

protein docking; thermodynamic properties

Correspondence

R O Louro, Instituto de Tecnologia

Quimica e Biolo´gica, Universidade Nova de

Lisboa, Rua da Quinta Grande 6,

2780-156 Oeiras, Portugal

Fax: 351-21-4428766

Tel: 351-21-4469848

E-mail: louro@itqb.unl.pt

(Received 15 December 2004, revised 15

February 2005, accepted 7 March 2005)

doi:10.1111/j.1742-4658.2005.04649.x

NMR and visible spectroscopy coupled to redox measurements were used

to determine the equilibrium thermodynamic properties of the four haems

in cytochrome c3 under conditions in which the protein was bound to lig-ands, the small anion phosphate and the protein rubredoxin with the iron

in the active site replaced by zinc Comparison of these results with data for the isolated cytochrome shows that binding of ligands causes only small changes in the reduction potentials of the haems and their pairwise inter-actions, and also that the redox-sensitive acid–base centre responsible for the redox–Bohr effect is essentially unaffected Although neither of the lig-ands tested is a physiological partner of cytochrome c3, the small changes observed for the thermodynamic properties of cytochrome c3 bound to these ligands vs the unbound state, indicate that the thermodynamic prop-erties measured for the isolated protein are relevant for a physiological interpretation of the role of this cytochrome in the bioenergetic metabolism

of Desulfovibrio

Abbreviations

DvHc3, Desulfovibrio vulgaris (Hildenborough) cytochrome c3; DvHc3:Pi, Desulfovibrio vulgaris cytochrome c3with phosphate; DvHc3:ZnRb, Desulfovibrio vulgaris cytochrome c 3 with zinc rubredoxin; EXSY, exchange spectroscopy.

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However, no experimental data exist on the effect of

binding small ligands or proteins on these properties

For cytochromes c3these effects have only been

inves-tigated in a theoretical study where cytochrome c3 and

a redox partner were docked in silico [22]

Experimental data reported in the literature argue in

favour of a specific binding of phosphate to

cyto-chrome c3 [23] instead of a simple electrostatic effect

of increased ionic strength at least up to 0.2 m

concen-tration The region of positively charged amino acid

residues at the surface of the cytochrome surrounding

haem IV, provides ample opportunity for binding a

small anion such as phosphate, as was found for

chro-mate for the homologous trihaem cytochrome c7 [24]

Also, the analysis of one-dimensional NMR

experi-ments showed that cytochrome c3and rubredoxin form

a complex with a binding constant > 104m)1, and that

the most downfield shifted signal in the NMR

spec-trum of the ferricytochrome displays the most obvious

modification upon binding [25] This signal was

assigned to the methyl 182 of haem IV [26] (methyl

nomenclature according to IUPAC-IUB

recommenda-tions [27] and Roman numerals designate the order of

attachment of the haem to the polypeptide chain),

which confirms the extensive work of molecular

dock-ing models for cytochrome c3 with physiological and

nonphysiological protein partners [6,22,28–30] showing always the positively charged region around haem IV

as the most favoured docking site

The complex between cytochrome c3and rubredoxin

is not physiological because the two proteins are located in different cellular compartments, but it pro-vides a convenient model for studying the effect of partner binding on the thermodynamic properties of the haems of cytochrome c3 Because the rubredoxin is

a very acidic protein and binds to the cytochrome close to haem IV, it has the electrostatic characteristics that mimic the physiological partners such as the Fe-hydrogenase and the membrane associated multi-haem cytochromes [6,22,31,32]

This work reports the first determination of the equi-librium thermodynamic properties of a cytochrome c3 when bound to phosphate and to an engineered form

of rubredoxin where the iron was replaced by zinc

Results

Figure 1 shows the comparison of representative two-dimensional exchange spectroscopy (EXSY) NMR spectra of Desulfovibrio vulgaris cytochrome c3 with phosphate (DvHc3:Pi) and Desulfovibrio vulgaris cyto-chrome c3 with zinc rubredoxin (DvHc3:ZnRb) It is

Fig 1 Two-dimensional EXSY NMR spectra

of DvHc3:Pi (above the diagonal) and DvHc 3 :ZnRb (below the diagonal) at pH 7.6 showing the pattern of reoxidation in both cases The spectrum for DvHc3:Pi is slightly more oxidized and therefore does not have signals for stage 1 The lines connect sig-nals of one particular methyl group (2 1 CH I

3 ,

18 1 CHII, 12 1 CH3IIIor 18 1 CH3IV) in different oxidation stages for DvHc 3 :Pi (solid lines) and DvHc3:ZnRb (dashed lines) Some signals are not easily visible at the level of cut-off used to prepare the figure and were boxed for clarity Roman and Arabic num-bers indicate the haem groups and the oxidation stages, respectively.

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apparent that the spectra are very similar with respect to

chemical shifts of the signals in intermediate stages of

oxidation, and that formation of the complex does not

lead to a marked decrease of the spectral quality in the

experimental conditions used, where most of the

cyto-chrome is bound to the Zn-rubredoxin (Discussion)

The pH dependence of the paramagnetic chemical

shifts of each haem methyl group and the data obtained

for redox titrations followed by visible spectroscopy

at pH 7.0 and 8.1, were used to monitor the

thermo-dynamic properties of DvHc3:Pi The fittings of both

NMR and visible spectroscopy data are reported in

Figs 2 and 3, respectively The thermodynamic

parame-ters obtained for DvHc3:Pi are listed in Table 1, together

with the macroscopic pKa values for the five stages of

oxidation

The pH dependence of the chemical shifts of the

haem methyl groups 21CH3I, 181CH3II, 121CH3III and

181CH3IV both Desulfovibrio vulgaris cytochrome c3

(DvHc3) and DvHc3:Pi are reported in Fig 2 by

dashed and solid lines, respectively Figure 2 shows

that the major differences in chemical shifts of the

sig-nals relative to the data obtained in the absence of

phosphate occur for the intermediate oxidation stages

of haems III and IV However, these differences are

small and give rise to only a small modification on the calculated thermodynamic properties of DvHc3:Pi as indicated in Table 1 with all differences < 12 meV Also, Fig 2 and Table 1 both show that the acid–base centre and the redox–Bohr interactions are almost undisturbed by the presence of phosphate and the resulting macroscopic pKa values are within 0.2 units

Fig 2 The pH dependence of the chemical shift of haem methyl resonances 2 1 CH3I, 18 1 CHII, 12 1 CH3III and 18 1 CH3IV, of DvHc3:Pi at 297.3 K Squares correspond to stage 1 of oxidation, circles to stage 2, downward pointing triangles to stage 3, and upward pointing trian-gles to stage 4 The chemical shifts of the haem methyl groups in the fully reduced stage 0 are not plotted because they are unaffected by the pH The solid lines represent the best fit of the shifts for DvHc3:Pi to the model of five interacting centres using the parameters listed in Table 1 Dashed lines represent the best fit for the DvHc 3 and the nearest label (1–4) indicates the oxidation stage represented by the line.

Fig 3 Reduced fraction of DvHc 3 in the presence of 100 m M phos-phate determined from redox titrations followed by visible spectros-copy performed at pH 7.0 and 8.1 Continuous lines are the fit of the model to the data.

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of those measured for the isolated cytochrome As

pre-viously reported for cytochromes c3 from Desulfovibrio

gigas, Desulfomicrobium norvegicum and

Desulfomicro-bium baculatum[23], the presence of phosphate induced

a generalized narrowing of the line widths of the DvHc3

haem methyl signals at intermediate redox stages

when compared with the experiments performed in the

absence of phosphate (data not shown) These

obser-vations show that the intermolecular electron exchange

is slower, which allowed the data from DvHc3:Pi to

be collected in a NMR spectrometer operating at

300 MHz, and establishing that the intermolecular

elec-tron exchange is < 340 s)1at 1 mm and 297.3 K

The paramagnetic chemical shifts of each haem

methyl group (21CHI

3, 181CHII

3 , 121CHIII

181CHIV

3 ), of DvHc3:ZnRb are plotted in Fig 4 and

the relative thermodynamic parameters together with

the macroscopic pKa values for the five stages of

oxi-dation determined from the fitting are listed in

Table 2 Absolute potentials and interactions are not

reported for these experiments because it is not

poss-ible to perform redox titrations followed by visposs-ible

spectroscopy under conditions that ensure a similar

proportion of bound vs unbound state of the

cyto-chrome to those obtained in the NMR tube This is a

consequence of the very strong absorption bands of

the cytochrome requiring very dilute solutions to per-form visible absorption measurements, and the possi-bility of interference from the redox mediators on complex formation Therefore, haem I and the inter-action between haems I and IV were chosen as refer-ences because these are the most distant pair of haems

in the structure and are therefore expected to have the weakest interaction [33]

The pH dependence of the chemical shifts of the NMR signals of the haem methyls obtained for DvHc3:ZnRb and DvHc3is also reported in Fig 4 and indicated by continuous and dashed lines, respectively The figure shows that the effect of binding Zn-rubre-doxin on the NMR signals of the haem methyls vs the results obtained for the isolated cytochrome is very small As observed for the case of phosphate binding, the signals for intermediate redox stages 2 and 3 of haems III and IV are the more affected This suggests that the binding of phosphate and Zn-rubredoxin occur

in a similar location on the surface of the cytochrome, which is in agreement with the fact that both are neg-atively charged molecules despite the dramatic differ-ence in size, and in agreement with previous comparative work of binding inorganic and protein partners to cytochromes c3 [6] Table 2 shows that as for the case of phosphate binding, the association with

Table 1 Thermodynamic parameters determined for DvHc3[13] and DvHc3:Pi (Top) Diagonal terms (in bold) represent the oxidation ener-gies of the four haems and the enerener-gies for deprotonating the acid–base centre for the fully reduced and protonated state of the protein and have standard errors < 5 meV The off-diagonal elements represent the redox- and redox–Bohr interactions between the centres All para-meters are reported in units of meV, making them numerically equal to the values of redox potentials and interactions reported in units of

mV [DG (meV) ¼ nE (mV)] (Bottom) Macroscopic pK a values for the five stages of oxidation, from the fully reduced protein (stage 0) to the fully oxidized (stage 4) measured from the data.

DvHc3

DvHc3:Pi

Macroscopic pK a values Oxidation stage

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Table 2 Thermodynamic parameters determined for DvHc 3 [13] and DvHc 3 :ZnRb (Top) Relative thermodynamic parameters (Bottom) Mac-roscopic pKavalues for the five stages of oxidation, from the fully reduced protein (stage 0) to the fully oxidized (stage 4) The table was pre-pared as Table 1 using the energy of oxidation of haem I and the interaction between haems I and IV as reference values.

DvHc3

DvHc3:ZnRb

Macroscopic pK a values Oxidation stage

Fig 4 The pH dependence of the chemical shift of haem methyl resonances 21CH3I, 181CHII, 121CH3IIIand 181CH3IV, of DvHc 3 :ZnRb at 297.3 K Squares correspond to stage 1 of oxidation, circles to stage 2, downward pointing triangles to stage 3, and upward pointing trian-gles to stage 4 The chemical shifts of the haem methyl groups in the fully reduced stage 0 are not plotted since they are unaffected by the

pH The solid lines represent the best fit of the shifts for DvHc 3 :ZnRb to the model of five interacting centres using the parameters listed in Table 2 Dashed lines represent the best fit for the DvHc3and the nearest label (1–4) indicates the oxidation stage represented by the line.

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Zn-rubredoxin gives rise to a small perturbation of the

relative reduction potentials and redox interactions

among the various centres Furthermore, because the

pH of the samples could be measured inside the NMR

tube the values for the redox–Bohr interactions and

the macroscopic pKavalues are absolute, and therefore

the macroscopic pKavalues of the various redox stages

show only very small modifications relative to the data

obtained for the isolated cytochrome [13] This

obser-vation is in agreement with the experimentally

observed binding of rubredoxin close to haem IV

because the acid–base centre has been assigned to

propionate D of haem I [26] which is on the opposite

pole of the cytochrome and therefore should be only

weakly affected by the docking

Discussion

Our results demonstrate that at 100 mm phosphate

binds to DvHc3 causing narrower NMR signals and

perturbing the chemical shifts of the haem methyl

sig-nals in intermediate redox stages The contraction of

the line widths of the NMR signals in intermediate

redox stages shows that the intermolecular electron

exchange is slower than in the absence of phosphate

Given that DvHc3 is a very basic protein, with its

iso-electric point above 10, this result is contrary to the

expected increase in intermolecular electron exchange

rate for proteins of equal charge as the ionic strength

is increased, and indicates a specific binding of

phos-phate to the cytochrome [34,35] Moreover, an increase

in reduction potentials of the centres with ionic

strength would be expected on electrostatic grounds

for a negatively charged protein [36] This is not

observed in the current case and was also not observed

for some haems in the highly homologous

cyto-chrome c3 from D vulgaris (Miyazaki) in the presence

of increased phosphate concentration [37] The results

presented in Table 1 show that the interactions among

the centres in the protein are subject to small

modifica-tions in the presence of phosphate, in agreement with

arguments in the literature that for nonsurface

resi-dues, such as the haems, the presence of counter ions

should have a small effect on pair-wise charge–charge

interactions between redox centres in a protein [33]

To measure the detailed equilibrium thermodynamic

parameters of the redox and redox–Bohr interactions

of the haems of cytochrome c3 when forming a

com-plex with a partner protein, several experimental

requirements had to be met in addition to maintaining

slow intermolecular- and fast intramolecular-electron

transfer among the cytochrome c3 molecules: (a) The

complex had to be sufficiently small so that line

broad-ening from a slower tumbling complex would not pre-vent observation of the signals at the various redox stages; (b) Bound and unbound states had to be in fast exchange in the NMR time scale so that a single signal

is observed at a position that is weighted by the relat-ive proportions of these states; (c) The partner should not contain a paramagnetic centre to avoid excessive broadening of the lines, as observed for the complex between the native iron rubredoxin and cytochrome c3 [25]; (d) The redox state of the partner should not change under the various experimental conditions probed to avoid distorting the results of the param-eters measured for the cytochrome with varying elec-trostatic interactions caused by diferent redox states of the partner

The use of Zn-rubredoxin as docking partner ful-filled all these criteria: (i) the complex has a combined mass of  20 kDa; (ii) the number of signals observed

in the intermediate stages of oxidation shows that the exchange between the bound and unbound form is fast; (iii) Zn(II) is diamagnetic; and (iv) Zn(II) has a d10 electronic configuration and therefore does not present redox chemistry in the range explored in this work The binding constant of rubredoxin to DvHc3 is

> 104m)1 [25], which is assumed to be essentially undisturbed by the replacement of Fe by Zn in the rubredoxin given the identical structures of the two protein forms [38,39] Therefore, at the concentrations used in the NMR experiments over 90% of the cytochrome is bound to the rubredoxin and the effect observed in the signals of the haem methyls of DvHc3:ZnRb complex vs the results in the isolated cytochrome is close to the full effect of complex forma-tion Because the thermodynamic parameters for the haems calculated from the NMR data are relative, it could be argued that all haem potentials had been modified to a similar degree but to an unknown extent making their absolute values completely different from those measured for the isolated cytochrome However, this scenario is unlikely because the rubredoxin is a smaller protein than the cytochrome, it binds to a spe-cific location close to haem IV, and the phenomena giving rise to such a widespread modification of the redox properties should also affect the acid–base centre for which absolute thermodynamic parameters were measured and that shows very small modifications caused by the binding of Zn-rubredoxin

Overall, the two sets of results reported show that phosphate binding and docking with the

Zn-rubredox-in has a very limited effect on the redox properties

of the haem groups in the cytochrome In fact, the haem reduction potentials, redox interactions, redox– Bohr interactions and macroscopic pKa values remain

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essentially unaffected (Tables 1 and 2) These results

are in agreement with theoretical expectations that

sur-face charges interact with redox centres with a very high

effective dielectric constant and therefore their

contri-bution to the reduction potential of the centres is small

[40,41], and also with the experimental observation for

monohaem cytochromes that the effect of anion binding

or complex formation on the reduction potential is

small [7,42] However, this is the first time that the

net-work of pairwise interactions in a multicentre protein

has been explored when forming a complex, and these

interactions also show small modifications relative to

the isolated protein, indicating that the intramolecular

dielectric environment is essentially undisturbed by

lig-and binding or complex formation

Conclusions

The presence of small negatively charged ligands such

as phosphate, causes little perturbation on the

equilib-rium thermodynamic properties of the haems in

DvHc3, despite the evidence that electrostatic forces

are the main drive for complex formation, and the

haems are very exposed to the solvent Also, mimics of

the physiological partners such as the Zn-rubredoxin

cause only small modifications in the relative reduction

potentials and redox interactions among the haems in

DvHc3 Our results show that the equilibrium

thermo-dynamic data obtained for the isolated cytochrome c3

are similar to those measured when the protein is

bound to a small anion or to a mimic of physiological

partners and may be discussed within the framework

of their functional relevance for the role of

cyto-chrome c3 in maintaining efficiency in the bioenergetic

metabolism of Desulfovibrio bacteria

Experimental procedures

Bacterial growth and protein purification

Zn-rubredoxin

Cells of Escherichia coli BL21(DE; Universidade Nova de

Lisboa, Portugal) were transformed with the plasmid

pMSPL1 [43] to produce the rubredoxin from Desulfovibrio

gigas Twenty millilitres of an overnight culture were

ino-culated in 1 L of the medium described in the literature [43]

that was allowed to grow up to an absorbance of 0.5 The

cells were induced with isopropyl thio-b-d-galactoside

(25 mgÆL)1) and supplemented with 4 mLÆL)1 of glycerol

87% and ZnCl2(5 mgÆL)1; final concentration) to increase

the amount of the zinc form of rubredoxin present in the cell

cultures After 6–10 h the cells were centrifuged and collected

in 50 mm Tris with 1 mm phenylmethanesulfonyl fluoride

and the Zn-rubredoxin purified as described in [44] Purity was checked by SDS⁄ PAGE and UV-visible spectroscopy

Cytochrome c3

Cells of D vulgaris (Hildenborough; Universidade Nova de Lisboa) were grown and the tetrahaem cytochrome c3 was purified as previously described [13]

Redox titrations followed by visible spectroscopy

Anaerobic redox titrations followed by visible spectroscopy were performed as described previously [45] with 2 lm pro-tein solutions in 100 mm phosphate buffer at pH 7.0 and 8.1 For each pH value the redox titrations were repeated at least twice, both in the oxidative and reductive directions to check for hysteresis Reproducibility between the runs was typically better than 5 mV To ensure a good equilibrium between the redox centres and the working electrode [46], a mixture of the following redox mediators was added to the protein solution

at pH 7.0: indigo tetrasulfonate, indigo trisulfonate, indigo disulfonate, 2-7-disulfonate, anthraquinone-2-sulfonate, safranine O, diquat, neutral red, phenosafranine, and methylviologen, all at a ratio of 100 : 8 of cytochrome

vs mediator to avoid interference caused by specific binding

of mediators to the protein For the redox titrations per-formed at pH 8.1 the mediators gallocyanine and methylene blue were added to the previous mixture

The solution potential was measured using a combined Pt|Ag⁄ AgCl electrode (Crison, Barcelona, Spain), calibra-ted against saturacalibra-ted quinhydrone⁄ hydroquinone solutions

at pH 4 and 7, and the visible spectra were recorded at

297 ± 1 K in a Shimadzu UV-1203 spectrophotometer, placed inside an anaerobic glove box (Mbraun MB 150 I) The reduced fraction of the cytochrome c3 from

D vulgaris (Hildenborough) (DvHc3) was determined using the a band peak at 552 nm The optical contribution of the mediators was subtracted by measuring the height of the peak at 552 nm relative to the straight line connecting the two isosbestic points (542 and 560 nm) flanking the a band according to the method described in the literature [45]

NMR sample preparation DvHc3in the presence of 100 mm phosphate

The protein was lyophilized twice with 2H2O (99.96% atom) and then dissolved in 500 lL2H2O (99.96% atom)

100 mm K3PO4.7H2O solution to a final concentration of

1 mm (this sample will be referred hereafter as DvHc3:Pi) Identical NMR spectra of the DvHc3(data not shown) were obtained before and after the lyophilization, showing that the protein structure was not affected

The pH of the samples was adjusted using small volumes of NaO2H or2HCl solutions In the reduced and intermediate

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stages of oxidation the pH was adjusted inside the

an-aerobic glove box with argon circulation to avoid the

reoxidation of the sample The pH values reported are

direct meter readings without correction for the isotope

effect [47,48] Complete reduction of the sample was

achieved by the reaction with gaseous hydrogen in the

presence of catalytic amounts of the enzyme

Fe-hydroge-nase isolated from D vulgaris (Hildenborough) Partially

oxidized samples were obtained by first flushing out the

hydrogen from the reduced sample with argon and then

adding controlled amounts of air in the microlitre range

into the NMR tube with a syringe through serum caps

DvHc3with Zn-rubredoxin

The cytochrome and the Zn-rubredoxin were lyophilized

separately and a sample was prepared in  500 lL 2

H2O (99.96% atom) at a final concentration of 0.5 mm

cyto-chrome and 0.8 mm Zn-rubredoxin (this sample will be

referred hereafter as DvHc3:ZnRb) The sample was

mani-pulated as described above for the sample containing

100 mm phosphate

NMR spectroscopy of partially oxidized samples

1H NMR spectra were obtained either in a Bruker

AMX300 for DvHc3:Pi or in a Bruker DRX500 Avance

spectrometer for DvHc3:ZnRb equipped with 5 mm inverse

detection probe heads

To establish the complete pattern of oxidation for each

haem methyl group at each pH, several two-dimensional

EXSY NMR experiments, with 25 ms mixing time, were

collected at various degrees of oxidation The spectra were

recorded at 297.3 K in the pH range 5.0–8.2, measuring 4 k

(t2)· 1 k (t1) data points, and water presaturation was

achieved by selective, low-power pulses of 500–800 ms

Chemical shifts values are reported in p.p.m relative to

trimethylsilyl and the spectra were calibrated using the

residual water signal as internal reference [49]

Modelling the thermodynamic parameters

The model used for the thermodynamic characterization of

DvHc3 [13] was applied to the data obtained for DvHc3:Pi

and DvHc3:ZnRb This model considers five interacting

cen-tres: four haems and one acid–base centre As shown in the

Results, DvHc3exhibits fast intramolecular and slow

inter-molecular electron exchange on the NMR time scale, in the

presence of both Zn-rubredoxin and 100 mm phosphate

Therefore, each haem substituent displays five discrete NMR

signals corresponding to each of the five possible

macro-scopic oxidation stages of the cytochrome, connected by four

steps of one-electron uptake or release The unpaired electron

in the oxidized haem causes a paramagnetic shift on its

signals that is directly proportional to the fractional oxida-tion in the absence of extrinsic paramagnetic contribuoxida-tions

As shown previously [26], the haem methyl groups 21CH3I,

181CHII

3 , 121CHIII

3 and 181CHIV

3 have large paramagnetic shifts and negligible extrinsic dipolar contributions, hence they are suitable for monitoring the thermodynamic proper-ties of the cytochrome The paramagnetic chemical shift of the haem methyl resonances is a very sensitive probe of the haem environment The fact that the shifts in the fully oxi-dized state of the protein are essentially identical to those measured for the isolated protein indicates that the binding

of phosphate or the Zn-rubredoxin does not disturb the structure of the haem core Therefore, the same methyl groups were followed here

The NMR data provide only relative values for the reduction potentials and interactions [13,50,51] and deter-mination of absolute values require the use of data from redox titrations followed by visible spectroscopy A compu-ter program was written to fit the thermodynamic model to the NMR data (for the case of DvHc3:ZnRb), or to the NMR and UV-visible data sets simultaneously (for the case

of DvHc3:Pi) using the Marquardt method for parameter optimization The half-height widths of the NMR signals were used as a measure of the uncertainty of each NMR data point and an experimental uncertainty of 2% was assumed for the experimental points of the redox titrations

Acknowledgements

The authors are grateful to Professor A.V Xavier, for many fruitful suggestions and discussions, and to Professor Helena Santos for kindly providing the Zn-rubredoxin The assistance of Isabel Pacheco dur-ing protein purification is gratefully acknowledged Financial support was provided by FCT-POCTI, Co-financed by FEDER (POCTI⁄ 42902 ⁄ QUI ⁄ 2001 to CAS, POCTI⁄ 43435 ⁄ QUI ⁄ 2001 to TC, and BPD ⁄

11511⁄ 2002 to PL)

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