Abstract
Two-dimensional 1H NMR spectroscopy over a range of temperature through thermal unfolding has been applied to the low-spin, ferric cyanide complex of myoglobin from Aplysia limacina to search for intermediates in the unfolding and to characterize the effect of temperature on the magnetic properties and electronic structure of the heme iron. The observation of strictly linear behavior from 5 to 80 C° through the unfolding transition for all hyperfine-shifted resonances indicates the absence of significant populations of intermediate states to the cooperative unfolding with Tm ∼ 80°C. The magnetic anisotropies and orientation of the magnetic axes for the complete range of temperatures were also determined for the complex. The anisotropies have very similar magnitudes, and exhibit the expected characteristic temperature dependence, previously observed in the isoelectronic sperm whale myoglobin complex. In contrast to sperm whale Mb, where the orientation of the magnetic axis was completely temperature-independent, the tilt of the major magnetic axis, which correlates with the Fe-CN tilt, decreases at high temperature in Aplysia limacina Mb, indicating a molecular structure that is conserved with temperature, although more plastic than that of sperm whale Mb. The pattern of contact shifts reflects a conserved Fe-His(F8) bond and π-spin delocalization into the heme, as expected for the orientation of the axial His imidazole.
INTRODUCTION
Myoglobins (Mb) are small (∼150 residues) globular proteins usually consisting of eight (A–H) helices with a heme bound via the His F8 (eighth position on helix F), which function as carriers for molecular oxygen in muscle (1,2). The highly conserved fold, despite high sequence variability and relatively small size, has made Mb a paradigm for studying a variety of properties of proteins. One of these roles has been in the study of intermediates in a reversible denaturation of proteins, where mammalian apo-Mb at low pH undergoes a transition to a partially structured molten globule (3). The majority of folding studies have been on sperm whale apo-Mb. The Mb from the sea hare Aplysia limacina exhibits several novel properties relative to the typical mammalian Mbs. The characteristic H-bond to stabilize bound O2 is provided by Arg E10 rather than the common His E7 (4), a position which, in Aplysia Mb, is occupied by Val. The heme pocket of Aplysia Mb also appears to be more loose or dynamically less stable, as witnessed by faster heme reorientation (5) and faster axial His labile proton exchange than in mammalian Mb (6) . Lastly, Aplysia, unlike the mammalian Mbs, readily denatures reversibly as the holo protein under the influence of a variety of perturbations such as temperature, pH, and chemical denaturation in the presence of urea (7,8). Optical studies on Aplysia apoMb have detected an intermediate in the thermal unfolding (9).
Our interests in this report are to assess the utility of 1H NMR in characterizing the changes in structure brought about by elevation in temperature through the unfolding transition to obtain evidence for or against significant populations of intermediates before global unfolding. Because the hyperfine shifts, δhfs, of paramagnetic derivatives of Mbs are considerably more sensitive to perturbations remote from the heme cavity (10), we choose to study the low-spin, ferric metMbCN derivative whose 1H NMR spectral parameters are the best understood of the paramagnetic Mb derivatives (10–14). The two components of δhf, are
(1) |
The dipolar (δcon) and contact (δcon) reflect dipolar and scalar influences of the paramagnetic iron on the 1H chemical shifts. The more informative dipolar component is given by (10,15,16)
(2) |
where R, θ′, Ω′ are the coordinates of proton i in an arbitrary, iron-centered coordinate, x′, y′, z′, (based on the x-ray structure) as shown in Fig. 1, Δχax and Δχrh are the axial and rhombic anisotropies of the paramagnetic susceptibility tensor, χ, in the magnetic coordinate system, x, y, z (shown in Fig. 1), and Γ(α, β, γ) represent the Euler angles, α, β, γ, that transform the reference into the magnetic coordinate system (16). The anisotropies reflect the strength of the axial bonds, and the sensitivity of the Euler angles reflects deformation of the symmetry from the pseudo-fourfold largely by the axial His imidazole plane orientation relative to the heme (17,18). The contact shift, related to the transferred unpaired π-spin density, ρi, is given by (15)
(3) |
where Q ∼−63 MHz for a pyrrole methyl, and Z is a constant for a given nucleus and electronic ground state. The pattern of for the four heme methyls reflects the orientation of the axial His imidazole relative to the heme (18–20) via the angle φ in Fig. 1. Even the slightest perturbation of the heme cavity environment due to perturbing of even a remote portion of the Mb has been shown to exert detectable changes in δdip and/or δcon (10,11).
Previous detailed 1H NMR studies on wild-type Aplysia metMbCN had provided comprehensive assignment (6,12) of the hyperfine-shifted heme cavity residues, and the search for a correlation between the observed and predicted δdip in Eq. 1 had also provided (12) the anisotropy and orientation of the paramagnetic susceptibility tensor at 30°C. Here we extend such studies on the Aplysia metMbCN over a temperature range up to 85°C. The two points of interest here will be whether the effect of temperature on the magnetic axes in Aplysia metMbCN confirm a looser heme pocket than in sperm whale metMbCN, and whether Aplysia metMbCN exhibits any evidence for significant population of an intermediate before its global unfolding at elevated temperature.
MATERIALS AND METHODS
Protein
Aplysia limacina Mb was isolated and purified as described in detail previously (21). The cyano-metmyoglobin complex, metMbCN, was prepared ∼1 mM in 2H2O, 100 mM in phosphate, and 10 mM in KCN, at pH 8.3.
NMR spectroscopy
1H NMR spectra was recorded on a Bruker AVANCE 500 spectrometer operating at 500 MHz (Bruker AXS, Madison, WI). Reference spectra from 5° to 85°C were collected over a 42.0 KHz bandwidth at a repetition rate of 2 s−1.The spectra were exponentially apodized with 5-Hz line broadening. NOESY spectra (22) (60-ms mixing time) in 10° intervals between 5° and 85°C were recorded at 500 MHz over a 30 kHz bandwidth using 256 t1 blocks of 64 scans each and 2048 t2 points at a repetition rate of 3 s−1. The two-dimensional data sets were apodized by 30°-shifted-sine bell-squared function and zero-filled to 2048 × 2048 points before Fourier transformation.
Optical and CD spectra
Thermal denaturation was carried out by equilibrating a 5- or 10-μM protein solution in 0.1 M sodium phosphate buffer, pH 8.1, containing 2 mM sodium cyanide, between 20 and 92°C. The reversibility was found to be >90%. The optical spectra were recorded on a Hewlett-Packard 8453 spectrophotometer (Palo Alto, CA) and the circular dichroic spectra on a Jasco J715 spectrometer (Tokyo, Japan), both equipped with a Peltier cell. Circular dichroic spectra were measured between 200 and 300 nm both at single temperature values and by increasing the temperature by 1°C/min between 20 and 92°C. The data were analyzed according to a standard two-state equation (23) for thermal unfolding,
(4) |
where ΔCp was estimated from the size of the protein and from literature data (24,25). Variation of the value of ΔCp does not affect the calculation of the free energy of unfolding. Three measurements were averaged to determine the Tm.
Magnetic axes determination
The anisotropies, (Δχax, Δχrh), and orientation (α,β), of the paramagnetic susceptibility tensor, χ, were determined from a five-parameter, least-squares search for the minimum in the error function, F/n (10,16,26):
(5) |
Error analyses were performed with the Levenberg-Marguard method with boundaries of the error function, F/n, set equal to 95.4% of the confidence limit (27,28). The δdip(calc) are given by Eq. 2, and the observed dipolar shifts for noncoordinated residues are given by
(6) |
where δDSS(obs) is the observed chemical shift, referenced to DSS, for metMbCN, and δDSS(dia) is the chemical shift, referenced to DSS, for a diamagnetic structural analog. In the absence of NMR data for a diamagnetic analog, such as MbCO, δDSS(dia) have been reliably estimated (29,30) by available programs for determining chemical shifts in folded proteins (31,32), to which are added the ring currents of the heme (33). The Aplysia metMbCN crystal structure (34) was used. The contact shift, δcon, for ligands to the iron (heme and axial His) were determined via
(7) |
RESULTS
Optical studies
The thermal unfolding profile of Aplysia metMbCN was monitored by far UV-CD and absorbance spectroscopy. As shown in Fig. 2, a single cooperative transition is seen by CD with a Tm = 354.1 ± 1 K (81°C); the same behavior is seen following the transition at 423 nm (data not shown). The position of the high-temperature absorbance supports the removal of the heme from the specific environment provided by the hydrophobic pocket, but does not shed light on whether the only His present in the protein, His F8, is still bound to the heme iron.
1H NMR studies
The 500 MHz 1H NMR spectra of Aplysia metMbCN as a function of temperature in the range 15–86°C are illustrated in Fig. 3. The resonances in the resolved portion of the spectral window (outside the 0–10 ppm diamagnetic portion), as well as the majority of nonresolved but hyperfine-shifted residue protons, have been unambiguously assigned and reported previously (6,12), and the peaks are labeled accordingly in Fig. 3. We address only the major (∼75%) heme orientational isomer in solution; resolved peaks for the minor component (previously assigned (6)) are marked by small stars.
It is observed that all resolved resonances change chemical shifts with increasing temperature, with the shifts of the majority of the signals approaching the diamagnetic spectral window, as expected for the approximate Curie law for the spin magnetization (10,15,19,20,35). However, at ∼75°C, prominent, narrow, new composite signals appear in the 0–10 ppm window whose intensities increase dramatically at higher temperature (Fig. 3, D–F). The intensities of the hyperfine-shifted resonances decrease until 80°C, where all chemical-shift dispersion indicative of a folded protein is lost, with the most dramatic change obvious in the aromatic spectral window 5–10 ppm. The loss of spectral dispersion in the diamagnetic spectral window 0–10 ppm, and the loss of the hyperfine-shifted signal, are taken as direct evidence that the protein has unfolded. It was not possible to detect at 85°C any hyperfine-shifted and relaxed signals in the −30 to 10 and 0–45 ppm window that would arise from a paramagnetic hemin (36,37). The 1H NMR spectra are completely reversible with temperature. Although some precipitation occurred near 75°C in several instances, the protein redissolved, and the 1H NMR spectra were completely reproducible, upon cooling. The NMR data are also consistent with cooperative unfolding with a Tm ∼77°C. The value is consistent with that obtained by UV-CD and visible spectroscopy, considering that the protein concentration and the pH are different in the two studies.
The chemical shifts for previously assigned protons experiencing significant dipolar shifts (6,12,30), which can be expected to occupy relatively fixed positions in the complex (i.e., no flexible long-chain termini), and which were assignable over the complete temperature range, were determined in ∼10° intervals over the temperature range 7–85° (not shown). The plots of chemical shift versus reciprocal absolute temperature (Curie plot) for the heme methyls and meso-Hs, and the axial His(F8) CβH are shown in Fig. 4. Similar representative data for the Phe98(FG2) variant's hyperfine-shifted proton's signals for the nonligated residues (see Supplementary Material for data on other residues) are illustrated in Fig. 5. The variable temperature data for the iron ligands, the porphyrin methyls, meso-Hs, and axial His(F8) CαH, all fall on a straight line over the whole temperature range, including the unfolding, and give no hint of deviations indicative of population of intermediates even at the highest temperature. The nonligated residues that exhibit significant dipolar shifts (12,30) such as Phe98(FG2) (Fig. 5), Phe91(F4), Phe43(CD1), and Val63(E7) (not shown; see Supplementary Material), among others, exhibit similarly straight lines through the unfolding transition.
Magnetic axes
The magnetic axes determination used the observed dipolar shifts for all protons or residues that can be expected to occupy unique and fixed positions relative to the iron, as defined by the coordinates of an Aplysia Mb crystal structure (34,38) and are readily assignable in the relative brief times (∼30 min) allowed for NOESY spectrum collection at elevated temperatures. These residues are identified in the caption to Fig. 6. The δdip(obs) values, as a function of temperature (not shown), were used to carry out five-parameter searches for the anisotropies, Δχax and Δχrh, and the three Euler angles, α, β, and γ, for which β defines the tilt of the major (i.e., z-) magnetic axis from the heme normal, α represents the direction of the tilt, and γ is defined by the angle between the projection of the major magnetic axis on the heme plane and the x′ axis. The location of the x,y, or rhombic, axes is approximated by κ ∼ α + γ; the three angles α, β, and κ are depicted in Fig. 1. For each temperature, very low minima in the residual error function, F/n (Table 1), in the least-squares searches, were found at all temperatures between 7° and 68°C, and the correlation between δdip(obs) and δdip(calc) at each temperature is quite good, as illustrated in Fig. 6. The five determined parameters are listed in Table 1 as data sets II–VIII.
TABLE 1.
Orientation*
|
||||||||
---|---|---|---|---|---|---|---|---|
Data Set† | N‡ | T, °C | α§ | β§ | κ = α + γ§ | Δχax × 10−8m3/mol¶ | Δχrh × 10−8m3/mol¶ | F/n,* (ppm)2 |
I¶ | 77 | 25 | 97 ± 4 | 11.7 ± 0.5° | 27 ± 5 | 2.22 ± 0.06 | −0.55 ± 0.06 | 0.05 |
II‖ | 21 | 7 | 106 ± 5 | 12.5 ± 0.5° | 26 ± 4 | 2.63 ± 0.08 | −0.79 ± 0.09 | 0.06 |
II | 21 | 15 | 106 ± 5 | 12.3 ± 0.6° | 26 ± 4 | 2.48 ± 0.08 | −0.72 ± 0.09 | 0.06 |
II | 21 | 25 | 105 ± 5 | 11.8 ± 0.6° | 26 ± 4 | 2.34 ± 0.08 | −0.62 ± 0.09 | 0.06 |
II | 21 | 35 | 105 ± 6 | 11.5 ± 0.7° | 24 ± 5 | 2.20 ± 0.08 | −0.55 ± 0.09 | 0.06 |
II | 21 | 46 | 105 ± 7 | 11.1 ± 0.7° | 24 ± 7 | 2.06 ± 0.09 | −0.49 ± 0.09 | 0.07 |
II | 21 | 57 | 105 ± 8 | 10.0 ± 0.8° | 24 ± 8 | 1.92 ± 0.9 | −0.43 ± 0.09 | 0.07 |
II | 21 | 68 | 105 ± 9 | 10.2 ± 0.8° | 24 ± 9 | 1.82 ± 0.09 | −0.38 ± 0.10 | 0.07 |
III** | 25 | 150 ± 10 | 15.8 ± 0.6° | −10 ± 5 | 2.48 ± 0.10 | −0.59 ± 0.10 |
Residual error function, (Eq. 4), after minimization.
Input δdip(obs) data set.
Number of protons in each input data set.
Data set I used all residues with a proton with δdip > |0.5|ppm, and was presented previously (30).
Data set II consists of expected rigid protons with significant δdip(obs) which are unambiguously assigned at all temperatures; they are identified in the caption to Fig. 6.
Magnetic axes and anisotropies reported for sperm whale metMbCN (29).
The magnetic axes and anisotropies were also determined at 25°C using the more extensive assignments previously reported (12,30) (Table 1, data set I). The 25°C orientation, α = 97 ± 8°, β = 11.6 ± 0.5, and κ = 27 ± 5°, and anisotropies, Δχax = 2.22 ± 0.06 × 10−8 m3/mol and Δχrh = −0.55 ± 0.06 × 10−8 m3/mol, are consistent with the earlier determination (30) where the latter parameters are adjusted for the redefinition (29) of the reference frame through pyrrole Ns, rather than meso-carbons (30), and the reference of α to the positive, rather than negative x-axis. The results of the magnetic axes determination at 25°C (Table 2, data set II) using the 21 input data sets available through the temperature range 7–68°C, are observed to be within the uncertainties of the parameters using the larger data set.
TABLE 2.
Aplysia metMbCN
|
Sperm whale MetMbCN | |||||
---|---|---|---|---|---|---|
Proton | δDSS(obs)* | δDSS(dia)† | δhf‡ | δdip(calc)§ | δcon¶ | δcon‖ |
Heme | ||||||
1-CH3 | 11.80 | 3.6 ± 0.1 | 8.2 ± 0.1 | −2.8 ± 0.3 | 11.0 ± 0.4 | 18.0 ± 0.2 |
3-CH3 | 17.79 | 3.6 ± 0.1 | 14.2 ± 0.1 | −5.0 ± 0.4 | 19.2 ± 0.5 | 6.0 ± 0.2 |
5-CH3 | 15.62 | 2.8 ± 0.2 | 12.8 ± 0.1 | −3.3 ± 0.3 | 15.3 ± 0.4 | 27.5 ± 0.2 |
8-CH3 | 9.95 | 3.6 ± 0.1 | 6.3 ± 0.1 | −4.0 ± 0.3 | 10.4 ± 0.4 | 14.7 ± 0.2 |
6-Hαs** | 16.5 | 3.5 ± 0.5 | 13.0 ± 0.5 | −3.6 ± 0.8 | 16.6 ± 1.3 | |
7-Hαs** | 4.3 | 3.5 ± 0.5 | 0.8 ± 0.5 | −4.5 ± 1.0 | 5.3 ± 1.5 | |
α-meso-H | 0.96 | 10.0 ± 0.5 | −9.0 ± 0.5 | −11.7 ± 1.2 | 2.7 ± 1.7 | 6.6 ± 0.5 |
β-meso-H | 5.93 | 10.0 ± 0.5 | −4.1 ± 0.5 | −8.3 ± 1.0 | 4.2 ± 1.5 | 2.8 ± 0.4 |
γ-meso-H | −0.44 | 10.0 ± 0.5 | −10.4 ± 0.5 | −12.9 ± 1.4 | 2.5 ± 1.9 | 6.3 ± 0.4 |
δ-meso-H | 4.99 | 10.0 ± 0.05 | 5.0 ± 0.5 | −6.9 ± 1.1 | 1.9 ± 16 | 6.1 ± 0.5 |
His(F8) | ||||||
Cβ1H | 10.55 | 1.2 ± 0.2 | 9.3 ± 0.2 | 6.5 ± 0.8 | 2.8 ± 1.0 | 3.4 ± 0.2 |
Cβ2H | 10.73 | 1.2 ± 0.2 | 9.5 ± 0.2 | 6.8 ± 0.8 | 2.7 ± 1.0 | 0.8 ± 0.2 |
CɛH | −2.35 | 1.6 ± 0.2 | −4.0 ± 0.2 | 18.0 ± 2.0 | −22.0 ± 2.0 | 19.0 ± 1 |
CδH | 18.35 | 1.3 ± 0.2 | −17.0 ± 0.2 | 25.0 ± 3.0 | −8.0 ± 3.0 | −1.1 ± 0.8 |
NδH | 14.30 | 9.0 ± 1.0 | 5.3 ± 1.0 | 9.9 ± 0.9 | −4.6 ± 1.9 | −3.5 ± 0.3 |
Chemical shift in ppm, referenced to DSS, in 2H2O at pH 8.6 and 25°C.
Chemical shift of a diamagnetic structural analog.
Hyperfine shift, in ppm at 25°C, defined as δDSS(obs)−δDSS(dia).
Dipolar shift, in ppm at 25°C, as calculated from the optimized magnetic axes for data set II in Table 1.
Previously reported (29) contact shift, in ppm at 25°C, for sperm whale metMbCN in 2H2O at pH 8.6.
Mean of the geminal protons.
Both anisotropies exhibit straight lines in a plot of Δχax and Δχrh versus reciprocal absolute temperature (Curie plot), as illustrated in Fig. 7 B. The systematic, and expected (17,39), temperature dependence of the anisotropies, is further support for the accuracy of the magnetic axes determination. The values of the angles, α, β, and κ, as a function of temperature, are similarly graphed in Fig. 7 A. The direction of the tilt, α, and the rhombic axes, κ, are essentially independent of temperature. The magnitude of the tilt, β, however, decreases slightly, but systematically, with increasing temperature, as shown in Fig. 8 A. Although the determination of magnetic axes using different Aplysia Mb crystal coordinates (34,38) resulted in small differences in the five parameters (30) (in large part due to the different definition of the reference coordinate system due to variable nonplanarity of the heme), the effect of temperature on the parameters was essentially independent of the crystal coordinates (not shown).
Factoring the heme and His(F8) hyperfine shifts
The quantitative determination of the magnetic axes in the temperature range 5–68°C provides the δdip(calc) that allows determination of δcon via Eqs. 2 and 7. The resulting δcon at 25°C for the four heme methyls, four meso protons, and the axial His96(F8), are listed in Table 2, where they can be compared to similar data previously reported for sperm whale metMbCN (29). With the well-behaved magnetic axes anisotropies with variable temperature (Fig. 7 A), it is possible to generate δdip(calc), and hence δcon, over the complete temperature range 5–68°C. The Curie plots for the heme methyl δcon are illustrated in Fig. 8.
DISCUSSION
Unfolding of Aplysia metMbCN
The change in far UV CD spectrum as a function of temperature (shown in Fig. 2) is characteristic of the cooperative unfolding with a melting temperature of ∼81°C. Although the features of the CD spectrum at the end of the transition (92°C) do not allow a reliable calculation of the residual secondary structure content, the comparison of this spectrum with that of a fully unfolded Aplysia metMbCN in 7 M urea (not shown) at 25°C indicates that some CD signal is still present at 92°C. This finding is not incompatible with a residual secondary structure content in the high-temperature denatured state. The intrinsic stability of Aplysia myoglobin to temperature denaturation is reflected in the behavior of the apoprotein (9) and is unchanged in a site-directed mutant, where the Trp130 in the H helix was replaced by a Tyr (40). The 1H NMR data in Fig. 3 show that the well-dispersed 1H NMR spectrum in both the diamagnetic (0–10 ppm) and hyperfine-shifted (17–10 and 0–7 ppm) windows loses intensity above 55° and is replaced by a spectrum solely within the 1–7 ppm diamagnetic window, with dispersion characteristic of the amino acid composition of the protein. This loss of dispersion is most apparent in the aromatic window 5–8 ppm in Fig. 3 E. Although the optical and 1H NMR data agree on the loss of most of the tertiary and secondary structures, it is not clear whether the Fe-His(F8) bond is retained above 75°C. Free hemin should lead to resolved methyl peaks in the 10–18 ppm spectral window in the presence of the excess cyanide, which are not seen (36,37). Alternatively, a His-Fe+3-CN− linkage should similarly exhibit resolved peaks for both heme and His CβHs. The failure to observe any hyperfine-shifted signals outside the 1–7 ppm window at the elevated temperatures does not provide a definitive answer. The likely case is that the hydrophobic hemin, as a His-Fe+3-CN− or NC-Fe+3-CN− species, is still associated within limited, loosely structured portions of the unfolded protein, and the heterogeneity of numerous such environments leads to severe line broadening that renders the hyperfine-shifted peaks undetectable.
The heme hyperfine shifts are extraordinarily sensitive probes of the orientation of the axial His relative to the heme (10,18–20,41), whereas the axial His(F8) hyperfine shifts are extremely sensitive to both the nature of the Fe-His(F8) bond and the heme Fe-CN tilt (10,17,29,39). The solely dipolar shifts for the nonligated residues are exquisitely sensitive probes for the disposition of the residue relative to the heme, the magnetic axes, and anisotropies. The surprisingly well-behaved Curie plots for heme (Fig. 4), His(F8) (Fig. 4), and nonligated residue (Fig. 5) protons over the complete temperature range 5–79°C provide compelling evidence against detectable populations of any partially unfolded intermediate, which influences the heme environment.
The unfolding temperature of Aplysia metMbCN is higher than that reported for other derivatives of the same protein (7), which is, to a first approximation, consistent with a greater value of the folding free energy for cyanomet derivatives. The superior solubility properties and 1H NMR spectral parameters highly sensitive to even minor structural perturbations are expected to significantly improve the prospects for detecting partially unfolded intermediates for Aplysia metMbCN mutants.
Magnetic properties
The similarly detailed orientation and anisotropies, as well as their temperature dependence, for sperm whale metMbCN have been reported previously (29). The axial anisotropies are consistently ∼5% smaller for Aplysia (2.34 ± 0.08 × 10−8 m3/mol at 25°C) than sperm whale (2.48 ± 0.08 × 10−8 m3/mol at 25°C). The rhombic anisotropies are essentially the same at −0.60 ± 0.10 × 10−8 m3/mol. Moreover, the temperature dependence for both Δχax and Δχrh for Aplysia metMbCN is essentially the same as reported for sperm whale metMbCN (29), both of which are consistent with the theoretical predictions of Horrocks and Greenberg (17,39).
The magnitude and direction of the tilt of the major magnetic axes in Aplysia metMb were shown to be consistent with an interaction of the Arg60(E10) NɛH with the bound cyanide in both solution (30) and crystal (34). The different orientation and larger tilt of the major magnetic axis, and hence Fe-CN vector, in sperm whale metMbCN to provide a stabilizing H-bond to the ligated cyanide, have been rationalized by steric interaction with Val68(E11) (16,42). The rhombic axes are predicted to follow the counter-rotation rule, where κ is related to the angle, φ (but in opposite direction), of the axial His(F8) imidazole plane relative to the x′ axis (18–20,41) (Fig. 1). The κ ∼ −10 ± 10° in sperm whale Mb is consistent (29,43) with the φ ∼0°. The much larger κ ∼ 27 ± 10° for Aplysia metMbCN is similarly consistent (34,38) with φ ∼35°.
The asymmetry in hyperfine shifts for the heme pyrrole substituents is dominated by contact shifts (10,18–20) (see below), whereas those for the meso-Hs have been shown (10,11,44,–48) to be dominated by the dipolar shifts. Thus, the observed 25°C chemical shift parameter (44,46–48) is
(8) |
(see Table 2), which is indistinguishable from the predicted value at 25°C Δ(δdip) = δdip(α-meso-H) − δdip(β-meso-H) + δdip(γ-meso-H) − δdip(δ-meso-H) = −9.4 ± 2.3 ppm (see Table 2).
Electronic structure
The factored hyperfine shifts for the heme and axial His(F8) are given in Table 2. The pattern of δcon for the axial His are very similar to those reported previously (29) for sperm whale metMbCN. The apparent slightly larger δcon for the axial His(F8) (Table 2) and the slightly smaller Δχax (Fig. 6) in Aplysia than sperm whale metMbCN suggest that the His(F8)-Fe bond might be slightly stronger in the former than the latter metMbCN complex. The orientation of a His(F8) with the imidazole plane close to parallel to N-Fe-N vector (φ ∼0° in Fig. 1) has been associated (49) with the introduction of some strain in the axial bond in a six-coordinate complex due to steric interaction between the axial His CɛH and CδH with the two trans pyrrole nitrogens of the heme. This steric effect, for Aplysia Mb, must be small, since the His ring is oriented (34,38) with φ near 35° (Fig. 1). The stronger His(F8)-Fe bond would increase the (dxz, dyz)−dxy spacing that leads to a reduction of Δχax, and an increase (17) in His(F8) δcon. Unfortunately, although these trends are observed, the parameters are not clearly distinguishable outside the uncertainties. Studies in progress on the cyanomet complex of leghemoglobin, for which stronger His(F8)-Fe bonding due to φ ∼40° has been proposed (49), may shed further light on this potential correlation among Δχax, δcon(His(F8)), and φ.
The pattern of δcon for the heme methyls in Aplysia metMbCN (6), on the other hand, differs significantly from that in sperm whale metMbCN (50,51). The value of Q in Eq. 3 is given by Q = Acos2Ψ, where Ψ is the H-C-Cπ-z* dihedral angle (10,15) (z* is the normal to the heme through Cπ). For a methyl group, 〈cos2Ψ〉 = 0.50, while for the most common methylene orientation, where Ψ = 60 ± 10° for each proton, cos2Ψ = 0.25. Hence the same ρπ in Eq. 3 will lead to δcon only half as large for a propionate CαH as for a methyl. Thus, the largest π-spin density (via Eq. 3) appears for the positions 1-, 2-, and 6-positions. This pattern is qualitatively consistent with the symmetry properties of the two 3eπ molecular orbitals (10,37), determined by the orientation of the axial His imidazole plane relative to the heme.
The determination of the orientation and anisotropies of the paramagnetic susceptibility tensor over the temperature range 7–68°C provides quantitative data for δdip for the heme methyls at each temperature, and hence, provides δcon as a function of temperature. A plot of δcon(heme CH3) versus T−1 is shown in Fig. 7. It is observed, typical for low-spin ferric hemoproteins (10,20,35), that the temperature dependence of δcon for the four methyls differ, in that two exhibit stronger temperature dependence than Curie (T−1) and two exhibit weaker temperature dependence than T−1 (but do not exhibit anti-Curie, i.e., negative slope). This behavior is indicative of thermal populations of the excited component of the 3eπ MO, as discussed in detail for other low-spin ferric hemoproteins (19,20,35).
The temperature dependence of δDSS(obs) has been modeled by an equilibrium between the ground state doublet and its thermally populated doublet, which has its magnetic axes rotated by 90° relative to the ground state (19,20,35). This model predicts that increased, less positive Curie slopes for the heme methyl with small δDSS(obs) as the spacing of the levels increases, with these two methyls exhibiting anti-Curie behavior (negative slope in Curie plot) if the level spacing is large enough. It is noted here that, while 8-CH3 exhibits anti-Curie behavior (negative Curie slope) for δDSS(obs), the correction for the δdip(calc) as a function of temperature leads to a 8-CH3 δcon with positive Curie slope. Hence, the temperature dependence of δcon suggests a smaller splitting between the two spin doublets than indicated by δDSS(obs) and confirms the importance of correcting for the dipolar shift (29) before interpreting deviations from Curie behavior in terms of the spacing between the two orbital states.
Lastly, it is observed that each of the meso-Hs exhibit 2–4 ppm low-field δcon, as previously observed for sperm whale metMbCN (29), which is contrary to the difference in the α-/δ-meso versus β-/δ-meso-H δcon as predicted (18) by the prevailing model for hyperfine shifts in low-spin ferric hemins. The failure to account for meso-H δcon patterns in other metMbCN complexes has been noted previously (52). Detailed calculations of the unpaired spin distribution in low-spin ferric hemes have shown that correlation leads to both positive and negative spin density on the heme periphery that cannot be interpreted simply based on MO theory of π-spin density in a single molecular orbital (53).
Plasticity of Aplysia metMbCN
The perfectly linear temperature dependence of hyperfine shifts and magnetic anisotropy over the temperature range through unfolding dictate the absence of partially unfolded intermediates, but do not guarantee a completely temperature-independent molecular structure, as long as the structural change is continuous. The plot of the Euler angles versus temperature in Fig. 6 A shows that, whereas direction of tilt, α, and the rhombic axes, κ = α + γ, are invariant, the magnitude of the tilt, β, decreases monotonically with temperature. The difference in β between 5° and 68°C is outside the uncertainties in the values. This is in contrast with observations (29) for sperm whale metMbCN, where the tilt, β, is larger and invariant between 5° and 50°C. Hence, since the major magnetic axes correlates with the Fe-CN vector (10,16), the degree of Fe-CN tilt in sperm whale is temperature-independent, but this Fe-CN tilt is reduced with increasing temperature for Aplysia metMbCN. Such an effect indicates that the tilted Fe-CN lies in a steeper potential well in sperm whale than in Aplysia metMbCN, or that the distal cavity structure is somewhat more plastic in the latter than the former complex.
These conclusions are in accord with several other experimental data. Thus, protohemin reorients about the α-γ-meso axis much more rapidly (5), and the lability of the axial His(F8) NδH is greater (6) in Aplysia than sperm whale metMbCN (54), both of which have been interpreted as representing a dynamically less stable heme cavity structure in the former than the latter myoglobin.
SUPPLEMENTARY MATERIAL
An online supplement to this article can be found by visiting BJ Online at http://www.biophysj.org.
Supplementary Material
Acknowledgments
The research was supported by grants from the National Institutes of Health (No. HL 16087 to G.N.L.) and the Ministero Università e Ricerca Scientifica of Italy (No. FIRB 2003, Structural Dynamics of Metalloproteins, to M.B.).
Zhicheng Xia's present address is Dept. of Chemistry, McGill University, Montreal, Quebec, Canada H3A 2K6.
Bao D. Nguyen's present address is Dept. of Chemistry, University of California, Irvine, CA 92697.
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