Signatures of Lévy flights with annealed disorder.

We present theoretical and experimental results of Lévy flights of light originating from a random walk of photons in a hot atomic vapor. In contrast to systems with quenched disorder, this system does not present any correlations between the position and the step length of the random walk. In an analytical model based on microscopic first principles including Doppler broadening we find anomalous Lévy-type superdiffusion corresponding to a single-step size distribution P(x)∝x^{-(1+α)}, with α≈1. We show that this step size distribution leads to a violation of Ohm's law [T_{diff}∝L^{-α/2}≠L^{-1}], as expected for a Lévy walk of independent steps. Furthermore, the spatial profile of the transmitted light develops power-law tails [T_{diff}(r)∝r^{-3-α}]. In an experiment using a slab geometry with hot Rb vapor, we measured the total diffuse transmission T_{diff} and the spatial profile of the transmitted light T_{diff}(r). We obtained the microscopic Lévy parameter α under macroscopic multiple scattering conditions paving the way to investigation of Lévy flights in different atomic physics and astrophysics systems.

Structure-based secondary structure-independent approach to design protein ligands: Application to the design of Kv1.2 potassium channel blockers.

We have developed a structure-based approach to the design of protein ligands. This approach is based on the transfer of a functional binding motif of amino acids, often referred as to the "hot spot", on a host protein able to reproduce the functional topology of these residues. The scaffolds were identified by a systematic in silico search in the Protein Data Bank for proteins possessing a group of residues in a topology similar to that adopted by the functional motif in a reference ligand of known 3D structure. In contrast to previously reported studies, this search is independent of the particular secondary structure supporting the functional motif. To take into account the global properties of the host protein, two additional criteria were taken into account in the selection process: (1) Only those scaffolds sterically compatible with the positioning of the functional motif as observed in a reference complex model were retained. (2) Host proteins displaying electrostatic potentials, in the region of the transferred functional motif, similar to that of the reference ligand were selected. This approach was applied to the development of protein ligands of the Kv1.2 channel using BgK, a small protein isolated from the sea anemone Bunodosoma granulifera, as the reference ligand. Four proteins obtained by this approach were produced for experimental evaluation. The X-ray structure of one of these proteins was determined to check for similarity of the transferred functional motif with the structure it adopts in the reference ligand. Three of these protein ligands bind the Kv1.2 channel with inhibition constants of 0.5, 1.5, and 1.6 microM. Several mutants of these designed protein ligands gave binding results consistent with the presumed binding mode. These results show that protein ligands can be designed by transferring a binding motif on a protein host selected to reproduce the functional topology of this motif, irrespective to the secondary structure supporting the functional motif, if the host protein possesses steric and electrostatic properties compatible with the binding to the target. This result opens the way to the design of protein ligands by taking advantage of the considerable structural repertoire of the Protein Data Bank.

Future challenges facing the development of specific active-site-directed synthetic inhibitors of MMPs.

Despite a deep knowledge on the 3D-structure of several catalytic domains of MMPs, the development of highly specific synthetic active-site-directed inhibitors of MMPs, able to differentiate the different members of this protease family, remains a strong challenge. Due to the flexible nature of MMP active-site, the development of specific MMP inhibitors will need to combine sophisticated theoretical and experimental approaches to decipher in each MMP the specific structural and dynamic features that can be exploited to obtain the desired selectivity.

Phosphinic peptides as zinc metalloproteinase inhibitors.

Solid-phase synthesis of phosphinic peptides was introduced 10 years ago. A major application of this chemistry has been the development of potent synthetic inhibitors of zinc metalloproteases. Specific properties of the inhibitors produced in recent years are reviewed, supporting the notion that phosphinic pseudo-peptides are useful tools for studying the structural and functional biology of zinc proteases.

Crystal structure of the stromelysin-3 (MMP-11) catalytic domain complexed with a phosphinic inhibitor mimicking the transition-state.

Stromelysin-3 (ST3) is a matrix metalloproteinase (MMP-11) whose proteolytic activity plays an important role in tumorigenicity enhancement. In breast cancer, ST3 is a bad prognosis marker: its expression is associated with a poor clinical outcome. This enzyme therefore represents an attractive therapeutic target. The topology of matrix metalloproteinases (MMPs) is remarkably well conserved, making the design of highly specific inhibitors difficult. The major difference between MMPs lies in the S(1)' subsite, a well-defined hydrophobic pocket of variable depth. The present crystal structure, the first 3D-structure of the ST3 catalytic domain in interaction with a phosphinic inhibitor mimicking a (d, l) peptide, clearly demonstrates that its S(1)' pocket corresponds to a tunnel running through the enzyme. This open channel is filled by the inhibitor P(1)' group which adopts a constrained conformation to fit this pocket, together with two water molecules interacting with the ST3-specific residue Gln215. These observations provide clues for the design of more specific inhibitors and show how ST3 can accommodate a phosphinic inhibitor mimicking a (d, l) peptide. The presence of a water molecule interacting with one oxygen atom of the inhibitor phosphinyl group and the proline residue of the Met-turn suggests how the intermediate formed during proteolysis may be stabilized. Furthermore, the hydrogen bond distance observed between the methyl of the phosphinic group and the carbonyl group of Ala182 mimics the interaction between this carbonyl group and the amide group of the cleaved peptidic bond. Our crystal structure provides a good model to study the MMPs mechanism of proteolysis.

Potency and selectivity of RXP407 on human, rat, and mouse angiotensin-converting enzyme.

By screening phosphinic peptide libraries, we recently reported the discovery of RXP407 (Ac-Asp-PheY(PO2-CH2)LAla-Ala-NH2), a potent N-domain-selective inhibitor of recombinant human angiotensin-converting enzyme (ACE). Preliminary studies to evaluate the in vivo activity of RXP407 in rat led us to suspect possible differences in the binding property of RXP407 between human and rat ACE. The aim of the present study was thus to determine the potency of RXP407 toward rat and mouse ACEs, as compared to non-recombinant human ACE, and to assess the efficacy of this inhibitor in discriminating between the N- and C-domains of these ACE enzymes. By comparing the ability of RXP407 to block purified somatic and germinal ACE from mice, RXP407 was shown to be a potent N-domain-selective inhibitor of mouse somatic ACE, a behavior similar to that observed with human somatic ACE. In contrast, RXP407 appeared less potent toward purified ACE from rat and furthermore was unable to block ACE activity present in crude rat plasma. This study demonstrated that for further evaluation of the in vivo efficacy of RXP407, mice rather than rats should be used as the animal model. Thus, following the change in the Ac-S-D-K-P plasmatic levels, after i.v. injection of RXP407 to mice, will permit the potency and selectivity of this novel ACE inhibitor to be assessed.

Phosphinic peptide inhibitors as tools in the study of the function of zinc metallopeptidases.

The development of the combinatorial chemistry of phosphinic peptides has led to the discovery of both highly potent and selective inhibitors of various zinc metalloproteinases. Several properties of these compounds are reviewed, supporting the view that this class of inhibitors should represent useful tools for probing several aspects of the function of this broad family of proteases in vivo.

Role of the S1' subsite glutamine 215 in activity and specificity of stromelysin-3 by site-directed mutagenesis.

The influence of Gln215 in stromelysin-3 (MMP-11), a residue located in the S1' subsite, was determined by producing three single mutants of this position. As compared to wild-type stromelysin-3, the kinetic parameters K(M) and k(cat) for the degradation of the fluorogenic substrate Dns-Pro-Leu-Ala-Leu-Trp-Ala-Arg-NH(2) (Dns-Leu) by these mutants indicated that the Gln/Leu substitution led to a 4-fold decrease in catalytic efficiency, whereas the mutations Gln/Tyr and Gln/Arg increased this parameter by a factor 10. The cleavage of alpha1-protease inhibitor (alpha1-PI), a natural substrate of stromelysin-3, by these mutants was also determined. Their relative activities for the degradation of alpha1-PI correspond to those observed with the synthetic substrate Dns-Leu. The catalytic efficiency of wild-type stromelysin-3 and its mutants to cleave the P1' analogue of Dns-Leu, containing the unusual amino acid Cys(OMeBn) (Dns-Cys(OMeBn)), was also determined. The values of the specificity factor, calculated as the ratio (k(cat)/K(M))Dns-Cys(OMeBn))/(k(cat)/K(M))Dns-Leu, were observed to vary from 26 for the wild-type stromelysin-3 to 120 for the Gln/Leu mutant and 25 for the Gln/Arg mutant. The Gln/Tyr mutant did not cleave the substrate when its P1' position is substituted by the unusual amino acid Cys(OMeBn). Altogether these observations established that both the catalytic activity and the specificity of stromelysin-3 are dependent on the nature of the residue in position 215. Finally, the cleavage efficiency of the Dns substrates by three representative matrixins, namely, MMP-14 (215 = Leu), MMP-1 (215 = Arg), and MMP-7 (215 = Tyr), was determined. Interestingly, the trends observed for these enzymes were similar to those established for the three mutants of stromelysin-3, pointing out the influence of position 215 toward the selectivity in this family of enzymes.

Phosphinic pseudo-tripeptides as potent inhibitors of matrix metalloproteinases: a structure-activity study.

Several phosphinic pseudo-tripeptides of general formula R-XaaPsi(PO(2)-CH(2))Xaa'-Yaa'-NH(2) were synthesized and evaluated for their in vitro activities to inhibit stromelysin-3, gelatinases A and B, membrane type-1 matrix metalloproteinase, collagenases 1 and 2, and matrilysin. With the exception of collagenase-1 and matrilysin, phosphinic pseudo-tripeptides behave as highly potent inhibitors of matrix metalloproteinases, provided they contain in P(1)' position an unusual long aryl-alkyl substituent. Study of structure-activity relationships regarding the influence of the R and Xaa' substituents in this series may contribute to the design of inhibitors able to block only a few members of the matrix metalloproteinase family.

RXP 407, a phosphinic peptide, is a potent inhibitor of angiotensin I converting enzyme able to differentiate between its two active sites.

The human somatic angiotensin converting enzyme (ACE) contains two homologous domains, each bearing a zinc-dependent active site. All of the synthetic inhibitors of this enzyme used in clinical applications interact with these two active sites to a similar extent. Recently, several lines of evidence have suggested that the N-terminal active site of ACE might be involved in specific hydrolysis of some important physiological substrates, like Acetyl-Seryl-Aspartyl-Lysyl-Proline, a negative regulator of hematopoietic stem cell differentiation and proliferation. These findings have stimulated studies aimed at identifying new ACE inhibitors able to block only one of the two active sites of this enzyme. By screening phosphinic peptide libraries, we discovered a phosphinic peptide Ac-Asp-(L)Phepsi(PO2-CH2)(L)Ala-Ala-NH2, called RXP 407, which is able to differentiate the two ACE active sites, with a dissociation constant three orders of magnitude lower for the N-domain of the enzyme. The usefulness of a combinatorial chemistry approach to develop new lead structures is underscored by the unusual chemical structure of RXP 407, as compared with classical ACE inhibitors. As a highly potent and selective inhibitor of the N-terminal active site of wild ACE (Ki = 12 nM), RXP 407, which is metabolically stable in vivo, may lead to a new generation of ACE inhibitors able to block in vivo only a subset of the different functions regulated by ACE.

Membrane type-1 matrix metalloprotease and stromelysin-3 cleave more efficiently synthetic substrates containing unusual amino acids in their P1' positions.

The influence of the substrate P1' position on the specificity of two zinc matrix metalloproteases, membrane type-1 matrix metalloprotease (MT1-MMP) and stromelysin-3 (ST3), was evaluated by synthesizing a series of fluorogenic substrates of general formula dansyl-Pro-Leu-Ala-Xaa-Trp-Ala-Arg-NH2, where Xaa in the P1' position represents unusual amino acids containing either long arylalkyl or alkyl side chains. Our data demonstrate that both MT1-MMP and ST3 cleave substrates containing in their P1' position unusual amino acids with extremely long side chains more efficiently than the corresponding substrates with natural phenylalanine or leucine amino acids. In this series of substrates, the replacement of leucine by S-para-methoxybenzyl cysteine increased the kcat/Km ratio by a factor of 37 for MT1-MMP and 9 for ST3. The substrate with a S-para-methoxybenzyl cysteine residue in the P1' position displayed a kcat/Km value of 1.59 10(6) M-1 s-1 and 1.67 10(4) M-1 s-1, when assayed with MT1-MMP and ST3, respectively. This substrate is thus one of the most rapidly hydrolyzed substrates so far reported for matrixins, and is the first synthetic peptide efficiently cleaved by ST3. These unexpected results for these two matrixins suggest that extracellular proteins may be cleaved by matrixins at sites containing amino acids with unusual long side chains, like those generated in vivo by some post-translational modifications.

Structural basis of antibody cross-reactivity: solution conformation of an immunogenic peptide fragment containing both T and B epitopes.

A synthetic octadecapeptide with the amino acid sequence of residues 23-40 of toxin alpha from Naja nigricollis, cyclized with a disulfide bridge between residues 23 and 40, induces antibodies that cross-react with toxin alpha. We report a structural analysis of this peptide in aqueous solution using NMR spectroscopy and molecular modeling. Structures compatible with the 151 obtained NMR distance restraints were generated using a random simulated annealing protocol followed by restrained high-temperature dynamics and energy minimization. The generated structures are compared with that of the corresponding sequence in the native toxin. The two stretches 23-28 and 37-40 adopt a canonical beta-strand structure in the toxin but are disordered in the peptide. The region 28-36 is ordered in both the peptide and the toxin. Residues 28-30 and 34-36 adopt beta-strand structures in the toxin but loop structures in the peptide. Residues 30-33 form a reverse turn in both the peptide and the toxin. Residues Val-27, Trp-28, Ile-35, and Ile-36 form a hydrophobic cluster. The similar, reverse-turn fold of residues 30-33 in the peptide and the toxin may be associated with the immunogenic cross-reactivity.

Three-dimensional structure of cyclohexapeptides containing a phosphinic bond in aqueous solution: a template for zinc metalloprotease inhibitors. A NMR and restrained molecular dynamics study.

The 3D structures of two phosphinic cyclic hexapeptide inhibitors of bacterial collagenase, cyclo-(Gly1-Pro2-Phe3 psi[PO2-CH2]Gly4-Pro5-Nle6) (compound I) and cyclo(Gly1-Pro2-D-Phe3 psi[PO2-CH2]-Gly4-Pro5-Nle6) (compound II), in aqueous solution, as derived from NMR spectroscopy and molecular dynamics simulations, are described. The general structures of these cyclic hexapeptides closely resemble the "canonic" two-reverse-turn structure, with the proline occupying the (i + 1) position of the turns and the glycine the connecting positions. The phosphinic bond is located between the (i + 2) and (i + 3) positions of one of these turns. However, a striking feature of the backbone structure of these peptides is the presence of double type VIII-turns in compound I, and in compound II of type VIII- and tentatively named type IX-turns. The comparison of the 3D structures of these two cyclic hexapeptides shows that the stereochemistry of the phenylalanylphosphinyl residue influences not only the local conformation but also the global topology of the peptide macrocycle. The differences in the 3D structure of these compounds are discussed in relation to their inhibitory potencies and with the view of using these constrained cyclic peptides as a scaffold for the development of rigid metalloproteases inhibitors.

Cyclic peptides with a phosphinic bond as potent inhibitors of a zinc bacterial collagenase.

A series of cyclic peptides containing a phosphinic bond were synthesized and evaluated as inhibitors of a zinc bacterial collagenase from Corynebacterium rathaii. Among this series of pseudopeptides of different sizes of cycles, only two molecules Ia (cyclo[Gly-Pro-Phe psi(PO2CH2)-Gly-Pro-Ahx]) and Va (cyclo[beta Ala-Pro-Phe psi (PO2CH2)Gly-Pro-Ahx]) were found to be rather potent inhibitors of this protease, with Ki values of 120 and 90 nM, respectively. Besides the influence of the peptide ring size, this study suggests that both the stereochemical and the conformational properties of the pseudophenylalanine residue in these cyclic peptides may determine their potency. Interestingly, the kinetic analysis for the binding of the cyclic peptide inhibitors Ia and Va to the collagenase, as compared to a linear parent compound, reveals that the lower potency of the cyclic peptides is mostly the consequence of a lower rate constant for association to the enzyme. To our knowledge, this is the first report on cyclic phosphinic peptides and on their activities as inhibitors of a zinc protease.

The abasic site as a challenge to DNA polymerase. A nuclear magnetic resonance study of G, C and T opposite a model abasic site.

An abasic site in DNA creates a strong block to DNA polymerase and is a mutagenic base lesion. In this study, we present structural and dynamic properties of duplex oligodeoxynucleotides containing G, C and T opposite a model abasic site studied by one and two-dimensional nuclear magnetic resonance spectroscopy. We have demonstrated that A opposite the abasic site was positioned within the helix as if paired with T, and that the A residue melted co-operatively with the surrounding helix. We report here that G opposite the abasic site is also observed to be predominantly intrahelical in a normal anti conformation at low temperature. With increasing temperature, the mobility of the G residue increases rapidly and apparently is in a "melted state" well before denaturation of the helix. At low temperature, two species are found for T opposite the abasic site; one, intrahelical, one extrahelical. These species are in slow exchange with one another on a proton nuclear magnetic resonance time-scale. The two species then move into fast exchange with increasing temperature and the proportion of the extra-helical form increases. When C is positioned opposite the abasic site, both the C residue and the abasic sugar are extrahelical, the helix collapses, and the adjacent G.C base-pairs stack over one another. On the basis of these observations, we propose a model that explains why the abasic site acts to block DNA replication. Further, we suggest an explanation for the observed polymerase preference for base selection at abasic sites.

Molecular mechanics and dynamics of an abasic frameshift in DNA and comparison to NMR data.

In a previous publication (Ph. Cuniasse, L.C. Sowers, R. Eritja, B. Kaplan, M.F. Goodman, J.A.H. Cognet, M. Le Bret, W. Guschlbauer and G.V. Fazakerley, Biochemistry 28, 2018 (1989), we determined by two dimensional NMR studies and molecular mechanics calculations the three-dimensional structure of a non-selfcomplementary oligonucleotide: [sequence; see text] where dr, at the center of the first strand, is a model abasic site. In order to explain all the results arising from NMR measurements, we found that an equilibrium between two conformations was necessary. These conformations differ mainly by the sugar pucker of G5 which is C2' endo or C3' endo. The latter is stabilized by addition of counterions between phosphate residues P3 and P4. In this paper, we have constructed systematically, all possible structures as a function of torsion angles delta of dr4 and of G5 by molecular mechanics in the presence or absence of counterions. Since these conformations were not forced with NMR distance measurements, this method allows detailed comparisons between all possible conformations and NMR data. Maps of contour lines of the potential energy, of fits to NMR distance measurements, and of helical twist as a function of torsion angles delta of dr4 and of G5 unravel the difficulties associated with the study of the G5 sugar pucker conformation equilibrium. Sugar puckers and proton distances are very sensitive criteria to monitor molecular dynamics. Relying on these experimental criteria, we have tested many molecular dynamics preparation phases and we propose a new warm-up and equilibration procedure for molecular dynamics. Thus we show with a 290 ps molecular dynamic run that G5 is in conformational equilibrium and that all NMR data are well reproduced.

Abasic frameshift in DNA. Solution conformation determined by proton NMR and molecular mechanics calculations.

We have determined the three-dimensional structure of a non-self-complementary oligodeoxynucleotide duplex that contains a model abasic site. The duplex contains six GC base pairs plus the abasic site at the center of one strand and corresponds to an abasic frameshift. Two-dimensional NMR studies on the nonexchangeable protons show that the guanine bases on either side of the abasic site are stacked over each other and that the abasic site is rotated out of the helix. Close proton-proton interactions are observed between the H4' proton of the abasic site and sugar protons of the guanosine in the 5' direction, which allows the position of the free sugar to be well-defined. NOE buildup curves from NOESY spectra recorded at very short mixing times were used to calculate a set of interproton distances. This data set was incorporated into the refinement of the oligonucleotide structure by molecular mechanics calculations. Two conformations that differ in the sugar conformation of the guanosine next to the abasic site in the 3' direction were necessary to fit all the NMR data. One of these two conformations could only be stabilized by addition of counterions at specific sites.

An abasic site in DNA. Solution conformation determined by proton NMR and molecular mechanics calculations.

We have determined the three-dimensional structure of a non-selfcomplementary nonanucleotide duplex which contains an abasic (apyrimidinic) site in the centre, i.e. a deoxyribose residue opposite an adenosine. The majority of the base and sugar proton resonances were assigned by NOESY, COSY and 2DQF spectra in D2O and H2O. We have measured the initial slope of buildup of NOEs in NOESY spectra at very short mixing times (25 to 50 ms), and from these were able to establish interproton distances for the central part of the duplex. We propose a different strategy for proton-proton distance determinations which takes into account the observed variations in correlation times for particular proton-proton vectors. A set of 31 measured interproton distances was incorporated into the refinement of the oligonucleotide structure by molecular mechanics calculations. Two structures were obtained which retain all aspects of a classical B DNA in which the unpaired adenine and the abasic deoxyribose lie inside the helix. We observe that the non-hydrogen bonded adenine is held well in the helix, the Tm of this base being the same as that of the A.T base pairs in the same duplex.