Experimentally exploring the conformational space sampled by domain reorientation in calmodulin

The conformational space sampled by the two-domain protein calmodulin has been explored by an approach based on four sets of NMR observables obtained on Tb(3+)- and Tm(3+)-substituted proteins. The observables are the pseudocontact shifts and residual dipolar couplings of the C-terminal domain when lanthanide substitution is at the N-terminal domain. Each set of observables provides independent information on the conformations experienced by the molecule. It is found that not all sterically allowed conformations are equally populated. Taking the N-terminal domain as the reference, the C-terminal domain preferentially resides in a region of space inscribed in a wide elliptical cone. The axis of the cone is tilted by approximately 30 degrees with respect to the direction of the N-terminal part of the interdomain helix, which is known to have a flexible central part in solution. The C-terminal domain also undergoes rotation about the axis defined by the C-terminal part of the interdomain helix. Neither the extended helix conformation initially observed in the solid state for free calcium calmodulin nor the closed conformation(s) adopted by calcium calmodulin either alone or in its adduct(s) with target peptide(s) is among the most preferred ones. These findings are unique, both in terms of structural information obtained on a biomolecule that samples multiple conformations and in terms of the approach developed to achieve the results. The same approach is in principle applicable to other multidomain proteins, as well as to multiple interaction modes between two macromolecular partners.

Paramagnetism-based restraints for Xplor-NIH

Modules that use paramagnetism-based NMR restraints have been developed and integrated in the well known program for solution structure determination Xplor-NIH; the complete set of such modules is called PARArestraints for Xplor-NIH. Paramagnetism-based restraints are paramagnetic relaxation enhancements, pseudocontact shifts, residual dipolar couplings due to metal and overall magnetic anisotropy, and cross correlation between Curie relaxation and nuclear-nuclear dipolar relaxation. The complete program has been tested by back-calculating NOEs and paramagnetism-based restraints from the X-ray structure of cytochrome c (553) from B. pasteurii. Furthermore, the same experimental restraints previously used to determine the solution structure of cytochrome c (553) itself, of cytochrome b (5), and of calbindin D(9k) with the program PARAMAGNETIC DYANA, have been used for structure calculations by using PARArestraints for Xplor-NIH. The agreement between the two programs is quite satisfactory and validates both protocols.

NMR-validated structural model for oxidized Rhodopseudomonas palustris cytochrome c 556

The structure of oxidized Rhodopseudomonas palustris cytochrome c(556) has been modeled after that of high-spin cytochrome c' from the same bacterium, the latter being the protein with the greatest sequence identity (35%) among all sequenced proteins in the genomes. The two proteins differ in the number of ligands to iron and in spin state, the former being six-coordinate low-spin and the latter five-coordinate high-spin. In order to validate this modeled structure, several structural restraints were obtained by performing a restricted set of NMR experiments, without performing a complete assignment of the protein signals. The aim was to exploit the special restraints arising from the paramagnetism of the metal ion. A total of 43 residual-dipolar-coupling and 74 pseudocontact-shift restraints, which together sampled all regions of the protein, were used in conjunction with over 40 routinely obtained NOE distance restraints. A calculation procedure was undertaken combining the program MODELLER and the solution structure determination program PARAMAGNETIC DYANA, which includes paramagnetism-based restraints. The directions and magnitude of the magnetic susceptibility anisotropy tensor were also calculated. The approach readily provides useful results, especially for paramagnetic metalloproteins of moderate to large dimensions.

Application of NMRD to hydration of rubredoxin and a variant containing a (Cys-S)3FeIII(OH) site

Hydration of oxidized rubredoxin (Fe(III)(S-Cys)(4) center) was investigated by (1)H and (17)O relaxation measurements of bulk water as a function of the applied magnetic field (nuclear magnetic relaxation dispersion). Oxidized rubredoxin showed an increased water (1)H relaxation profile with respect to the diamagnetic gallium derivative or reduced species. Analysis of the data shows evidence of exchangeable proton(s) approximately 4.0-4.5 A from the metal ion, the exchange time being longer than 10(-10) s and shorter than 10(-5) s. The correlation time for the proton-electrons interaction is 7 x 10(-11) s and is attributed to the effective electron relaxation time. Its magnitude is consistent with the large signal linewidths of the protein donor nuclei, observed in high resolution NMR spectra. For reduced rubredoxin, such correlation time is proposed to be smaller than 10(-11) s. (17)O relaxation measurements suggest the presence of at least one long-lived protein-bound water molecule. Analogous relaxation measurements were performed on the C6S rubredoxin variant, whose iron(III) center has been previously shown to be coordinated to three cysteine residues and a hydroxide ion above pH 6. (1)H nuclear magnetic relaxation dispersion profiles indicate increased hydration with respect to the wild-type.

Mechanistic studies of a calcium-dependent MRI contrast agent

Intracellular Ca(2+) plays an important role in signal transduction, and we are developing new MRI techniques to study its regulation in living animals. We have reported on an MRI contrast agent (DOPTA-Gd) where the relaxivity of the complex is controlled by the presence or absence of the divalent ion Ca(2+). By structurally modulating inner-sphere access of water to a chelated Gd(3+) ion, we observe a substantial and reversible change in T(1) upon the addition of Ca(2+) and not other divalent ions. Luminescence lifetime and NMRD measurements of the complex have been acquired, and several parameters contribute to the Ca(2+) dependent relaxivity change of DOPTA-Gd. The number of inner-sphere water molecules is more than doubled after the Ca(2+) concentration is increased. This finding strongly supports the proposed conformational change of DOPTA-Gd when Ca(2+) is bound. Relaxometric measurements confirm these results and provide an indication that second-sphere water molecules are probably responsible for paramagnetic relaxation enhancement in the absence of Ca(2+). After Ca(2+) is bound to DOPTA-Gd, the molecule undergoes a substantial conformational change that opens up the hydrophilic face of the tetraazacyclododecane macrocycle. This change dramatically increases the accessibility of chelated Gd(3+) ion to bulk solvent. The design of this class of calcium-activated MR contrast agent was based primarily on the assumption that the number of coordinated inner-sphere water molecules would be the dominating factor in observed relaxivity measurements. This result has been confirmed; however, careful mechanistic studies reveal that additional factors are involved in this process.

Efficiency of paramagnetism-based constraints to determine the spatial arrangement of alpha-helical secondary structure elements

A computational approach has been developed to assess the power of paramagnetism-based backbone constraints with respect to the determination of the tertiary structure, once the secondary structure elements are known. This is part of the general assessment of paramagnetism-based constraints which are known to be relevant when used in conjunction with all classical constraints. The paramagnetism-based constraints here investigated are the pseudocontact shifts, the residual dipolar couplings due to self-orientation of the metalloprotein in high magnetic fields, and the cross correlation between dipolar relaxation and Curie relaxation. The relative constraints are generated by back-calculation from a known structure. The elements of secondary structure are supposed to be obtained from chemical shift index. The problem of the reciprocal orientation of the helices is addressed. It is shown that the correct fold can be obtained depending on the length of the alpha-helical stretches with respect to the length of the non helical segments connecting the alpha-helices. For example, the correct fold is straightforwardly obtained for the four-helix bundle protein cytochrome b562, while the double EF-hand motif of calbindin D9k is hardly obtained without ambiguity. In cases like calbindin D9k, the availability of datasets from different metal ions is helpful, whereas less important is the location of the metal ion with respect to the secondary structure elements.

Paramagnetism-based versus classical constraints: an analysis of the solution structure of Ca Ln calbindin D9k

The relative importance of paramagnetism-based constraints (i.e. pseudocontact shifts, residual dipolar couplings and nuclear relaxation enhancements) with respect to classical constraints in solution structure determinations of paramagnetic metalloproteins has been addressed. The protein selected for the study is a calcium binding protein, calbindin D9k, in which one of the two calcium ions is substituted with cerium(III). From 1823 NOEs, 191 dihedral angles, 15 hydrogen bonds, 769 pseudocontact shifts, 64 orientational constraints, 26 longitudinal relaxation rates, plus 969 pseudocontact shifts from other lanthanides, a final family with backbone r.m.s.d. from the average of 0.25 A was obtained. Then, several families of structures were generated either by removing subsets of paramagnetism-based constraints or by removing increasing numbers of NOEs. The results show the relative importance of the various paramagnetism-based constraints and their good complementarity with the diamagnetic ones. Although a resolved structure cannot be obtained with paramagnetism-based constraints only, it is shown that a reasonably well resolved backbone fold can be safely obtained by retaining as few as 29 randomly chosen long-range NOEs using the standard version of the program PSEUDYANA.

Cross correlation between the dipole-dipole interaction and the Curie spin relaxation: the effect of anisotropic magnetic susceptibility

Cross-correlated relaxation caused by the interference of nuclear dipole-dipole interaction and the Curie spin relaxation (DD-CSR cross relaxation) is generalized to treat the case of anisotropic magnetic susceptibility, including the important case where the latter originates from zero-field splitting. It is shown that the phenomenon of DD-CSR cross relaxation is absolutely general and to be expected under any electronic configuration. The results of the generalization are presented for a model system, and the consequences for paramagnetic metalloproteins are illustrated with an example of cerium(III)-substituted calbindin. The effects of the magnetic anisotropy are found to be substantial.

Solvent (1)H NMRD study of hexaaquochromium(III): inferences on hydration and electron relaxation

The water proton nuclear magnetic relaxation dispersions (NMRD) of hexaaquochromium(III) in water and in water-glycerol solutions were obtained at several temperatures and viscosities. The data were analyzed in terms of the available theories by taking into account the contributions from first sphere, second sphere, and outer sphere water molecules. A meaningful analysis was possible by taking advantage of the structural model obtained from (17)O relaxation data, which was recently made available in the literature (Bleuzen, A.; Foglia, F.; Furet, E.; Helm, L.; Merbach, A.; Weber, J. J. Am. Chem. Soc. 1996, 118, 12 777). Dynamic parameters, like the molecular rotational time, the exchange time of the water protons of the first coordination sphere, the correlation time for electron relaxation, and the magnetic field dependence of electron relaxation were obtained. The possible contribution to water proton relaxivity of second sphere water molecules for some other hexaaqua complexes is also discussed.

Heme methyl 1H chemical shifts as structural parameters in some low-spin ferriheme proteins

The different paramagnetic shifts of the four methyl groups in ferriheme proteins have been described as being due to the effect of the axial ligand nodal plane orientation. An equation, heuristically found and theoretically explained, describing the relation between contact and pseudocontact shifts and the position of the axial ligand(s) has been derived for bis-histidine ferriheme proteins and for cyanide-histidine ferriheme proteins. The values of the heuristic parameters contained in the equations were found by fitting the shifts of bovine cytochrome b5 and several bis-histidine cytochromes c3 and histidine-cyanide systems. The agreement between the observed and the calculated shifts was found to be good. Therefore, by taking advantage of this study, information on the position of the axial ligands, that can be used as a constraint for structure determination, can be obtained from the shifts of the methyl protons.

Non-ionic bulky Gd(III) DTPA-bisamide complexes as potential contrast agents for magnetic resonance imaging

A series of new diethylene triamine pentaacetic acid (DTPA)-bisamide chelates containing bulky alkyl and aryl side chains have been prepared and characterized. Nuclear magnetic relaxation dispersion profiles were measured for the neutral gadolinium [Gd(III)] DTPA-bisamide complexes in water solution, and their chemical exchange times (tau(m)) were found to be in the range of 1.4 to 4.9 micros. Significant enhancements of solvent proton relaxation rates were observed between 10 and 50 MHz for one of the complexes of the series [Gd(III)-DTPA-bis-2-ethylhexylamide] in human serum albumin (HSA) solution, indicating the formation of a paramagnetic macromolecular adduct. The binding association constant K(A) of the complex and the albumin 5.7 x 10(3) M(-1) was obtained, and the relaxivity of the fully bound adduct was determined to be 13.8 mM(-1) s(-1) at 20 MHz and 25 degrees C. The high value of K(A) makes the above derivative a good potential blood pool contrast agent at the physiological HSA concentration.

Off-resonance experiments and contrast agents to improve magnetic resonance imaging

The effect of off-resonance irradiation on the water proton NMR signal intensity has been investigated as follows: (a) in the presence of a paramagnetic probe like manganese(II); (b) in the presence of bovine serum albumin (BSA) and two gadolinium(III) complexes, Gd-DTPA and Gd-BOPTA; (c) in the presence of cross-linked BSA and the two above-mentioned gadolinium(III) complexes. The experimental data have been rationalized on the basis of the available theoretical models. The effectiveness of the two complexes as contrast agents for MRI has been predicted. It is shown that contrast agents providing comparable longitudinal and transverse relaxation rate enhancements are those of general interest for off-resonance magnetization transfer-MRI.

Nuclear and Electron Relaxation in Magnetic Exchange Coupled Dimers: Implications for NMR Spectroscopy

The transition probabilities and the lifetimes have been calculated for the levels arising from magnetic exchange coupling in the following electron spin pairs: SA = ½-SB = ½; SA = ½-SB = 1; SA = ½-SB = 32; SA = 1-SB = 1. Such transition probabilities and lifetimes have been expressed as a function of the relaxation properties of the uncoupled spins in the assumption that magnetic coupling does not provide further relaxation pathways, and that the coupling frequency is large with respect to the electron relaxation rates of both spins. From the above values, nuclear relaxation as a function of the intensity of the external magnetic field has been calculated for nuclei dipole-coupled with either electron spin. The calculated nuclear relaxation dispersion has been then analyzed in terms of an "effective" electron relaxation time, the knowledge of which is important for NMR of magnetic coupled systems. The calculations provide a basis for understanding electron relaxation in magnetic-coupled dimers. Comparison with available experimental literature data is presented. Copyright 1998 Academic Press. Copyright 1998 Academic Press