Transmembrane domain of EphA1 receptor forms dimers in membrane-like environment

Eph receptor tyrosine kinases (RTKs) are activated by a ligand-mediated dimerization in the plasma membrane and subjected to clusterization at a high local density of receptors and their membrane-anchored ligands. Interactions between transmembrane domains (TMDs) were recognized to assist to the ligand-binding extracellular domains in the dimerization of some RTKs, whereas a functional role of Eph-receptor TMDs remains unknown. We have studied a propensity of EphA1-receptor TMDs (TMA1) to self-association in membrane-mimetic environment. Dimerization of TMA1 in SDS environment was revealed by SDS-PAGE and confirmed by FRET analysis of the fluorescently labeled peptide (K_d = 7.2 ± 0.4 μM at 1.5 mM SDS). TMA1 dimerization was also found in 1,2-dimyristoyl-sn-glycero-3-phosphocholine liposomes (ΔG = −15.4 ± 0.5 kJ/mol). Stability of TMA1 dimers is comparable to the reported earlier stability of TMD dimers of fibroblast growth factor receptor 3 and tenfold weaker than the stability of TMD dimers of glycophorin A possessing high propensity to dimerization. Our results suggest that EphA1-receptor TMD contribute to the dimerization-mediated receptor activation. An assumed role of the TMD interactions is the efficient signal transduction due to TMD-driving mutual orientation of kinase domains in dimers, while a relatively low force of the TMD interactions does not prevent a ligand-controlled regulation of the receptor dimerization.     

Intermonomer Hydrogen Bonds Enhance GxxxG-Driven Dimerization of the BNIP3 Transmembrane Domain: Roles for Sequence Context in Helix-Helix Association in Membranes

We determined the sequence dependence of human BNIP3 transmembrane domain dimerization using the biological assay TOXCAT. Mutants in which intermonomer hydrogen bonds between Ser172 and His173 are abolished show moderate interaction, indicating that side-chain hydrogen bonds contribute to dimer stability but are not essential to dimerization. Mutants in which a GxxxG motif composed of Gly180 and Gly184 has been abolished show little or no interaction, demonstrating the critical nature of the GxxxG motif to BNIP3 dimerization. These findings show that side-chain hydrogen bonds can enhance the intrinsic dimerization of a GxxxG motif and that sequence context can control how hydrogen bonds influence helix-helix interactions in membranes. The dimer interface mapped by TOXCAT mutagenesis agrees closely with the interfaces observed in the NMR structure and inferred from mutational analysis of dimerization on SDS-PAGE, showing that the native dimer structure is retained in detergents. We show that TOXCAT and SDS-PAGE give complementary and consistent information about BNIP3 transmembrane domain dimerization: TOXCAT is insensitive to mutations that have modest effects on self-association in detergents but readily discriminates among mutations that completely disrupt detergent-resistant dimerization. The close agreement between conclusions reached from TOXCAT and SDS-PAGE data for BNIP3 suggests that accurate estimates of the relative effects of mutations on native-state protein-protein interactions can be obtained even when the detergent environment is strongly disruptive.     

Time-dependent density functional theory study on the electronic excited-state hydrogen bonding of the chromophore coumarin 153 in a room-temperature ionic liquid

In the present work, in order to investigate the electronic excited-state intermolecular hydrogen bonding between the chromophore coumarin 153 (C153) and the room-temperature ionic liquid N,N-dimethylethanolammonium formate (DAF), both the geometric structures and the infrared spectra of the hydrogen-bonded complex C153–DAF⁺ in the excited state were studied by a time-dependent density functional theory (TDDFT) method. We theoretically demonstrated that the intermolecular hydrogen bond C₁?=?O₁···H₁–O₃ in the hydrogen-bonded C153–DAF⁺ complex is significantly strengthened in the S₁ state by monitoring the spectral shifts of the C=O group and O–H group involved in the hydrogen bond C₁?=?O₁···H₁–O₃. Moreover, the length of the hydrogen bond C₁?=?O₁···H₁–O₃ between the oxygen atom and hydrogen atom decreased from 1.693 Å to 1.633 Å upon photoexcitation. This was also confirmed by the increase in the hydrogen-bond binding energy from 69.92 kJ mol^?1 in the ground state to 90.17 kJ mol^?1 in the excited state. Thus, the excited-state hydrogen-bond strengthening of the coumarin chromophore in an ionic liquid has been demonstrated theoretically for the first time.     

Direct Assessment of the Effect of the Gly380Arg Achondroplasia Mutation on FGFR3 Dimerization Using Quantitative Imaging FRET

The Gly380Arg mutation in FGFR3 is the genetic cause for achondroplasia (ACH), the most common form of human dwarfism. The mutation has been proposed to increase FGFR3 dimerization, but the dimerization propensities of wild-type and mutant FGFR3 have not been compared. Here we use quantitative imaging FRET to characterize the dimerization of wild-type FGFR3 and the ACH mutant in plasma membrane-derived vesicles from HEK293T cells. We demonstrate a small, but statistically significant increase in FGFR3 dimerization due to the ACH mutation. The data are consistent with the idea that the ACH mutation causes a structural change which affects both the stability and the activity of FGFR3 dimers in the absence of ligand.     

Leucine Zipper Motif Drives the Transmembrane Domain Dimerization of E-cadherin

E-cadherin is a transmembrane glycoprotein which is involved in the Ca²⁺-dependent cell–cell adhesion, and the adhesiveness is heavily dependent on the homodimerization of this molecule. Previous studies have shown that both the extracellular domain and cytoplasmic domain of E-cadherin contribute to its homodimerization. However, the roles of the transmembrane(TM) domain in the E-cadherin homodimerization have not been discussed in detail. In our experiments, SDS-PAGE showed higher molecular weight bands for the synthetic E-cadherin TM peptide, which indicated that the E-cadherin TM peptide is able to dimerize in the SDS micelle. The TOXCAT assay proved that the E-cadherin TM domain can form a moderate homo-oligomer in the Escherichia coli inner membrane. Furthermore, mutational analyses using the TOXCAT assays revealed that, instead of the common GxxxG dimerization motif, the leucine zipper motif is essential for the dimerization of the E-cadherin TM domain. Combining our experiment data and the computational simulation results, we provide insights for understanding the roles of the TM domain in the E-cadherin dimerization.     

Role of Side-Chain Conformational Entropy in Transmembrane Helix Dimerization of Glycophorin A

Dimerization of the transmembrane domain of glycophorin A is mediated by a seven residue motif LIxxGVxxGVxxT through a combination of van der Waals and hydrogen bonding interactions. One of the unusual features of the motif is the large number of β-branched amino acids that may limit the entropic cost of dimerization by restricting side-chain motion in the monomeric transmembrane helix. Deuterium NMR spectroscopy is used to characterize the dynamics of fully deuterated Val80 and Val84, two essential amino acids of the dimerization motif. Deuterium spectra of the glycophorin A transmembrane dimer were obtained using synthetic peptides corresponding to the transmembrane sequence containing either perdeuterated Val80 or Val84. These data were compared with spectra of monomeric glycophorin A peptides deuterated at Val84. In all cases, the deuterium line shapes are characterized by fast methyl group rotation with virtually no motion about the C_α-C_β bond. This is consistent with restriction of the side chain in both the monomer and dimer due to intrahelical packing interactions involving the β-methyl groups, and indicates that there is no energy cost associated with dimerization due to loss of conformational entropy. In contrast, deuterium NMR spectra of Met81 and Val82, in the lipid interface, reflected greater motional averaging and fast exchange between different side-chain conformers.     

First synthesis of separable isomeric testosterone dimers showing differential activities on prostate cancer cells

The synthesis of two separable isomeric testosterone dimers is reported. The dimers are made from testosterone in a 5 step sequence and with 36% overall yield. The key dimerization step was performed using Hoveyda–Grubb’s metathesis catalysts on 7α-allyltestosterone with 75% yield. The synthesis led to separable isomeric dimers (trans and cis, 2:1). X-ray diffraction crystallography, performed on monocrystal of the minor isomer, confirms the cis geometry of the double bound between the two testosterone units. MTT assays showed that the cis dimer has the highest activity against prostate cancer cell lines. The novel cis dimer is more active than the antiandrogen cyproterone acetate indicating the possible therapeutic value of this molecule.     

Preferred conformation of peptides from Cα,α-symmetrically disubstituted glycines: Aromatic residues

The conformational preference of C^α,α-diphenylglycinc (Døg) and C^α,α-dibenzylglycine (Dbz) residues was assessed in selected derivatives and small peptides by conformational energy computations, ir absorption, ¹H-nmr, and x-ray diffraction. Conformational energy computations on the two monopeptides strongly support the view that these C^α,α-symmetrically disubstituted glycines are conformationally restricted and that their minimum energy conformation falls in the fully extended (C₅) region. The results of the theoretical analyses appear to be in agreement with the solution and crystal-state structural propensities of three derivatives and seven di-and tripeptides.     

Computational study of the intramolecular proton transfer reactions of 3-hydroxytropolone (2,7-dihydroxycyclohepta-2,4,6-trien-1-one) and its dimers

The proton transfer reaction and dimerization processes of 3-hydroxytropolone (3-OHTRN) have been investigated using density functional theory (DFT) at the B3LYP/6–31+G** level. The influence of the solvent on the proton transfer reaction of 3-OHTRN was examined using the self-consistent isodensity polarized continuum model (SCI-PCM) with different dielectric constants (ε?=?4.9, CHCI₃; ε?=?32.63, CH₃OH; ε?=?78.39, H₂O). The intramolecular proton transfer reaction occurs more readily in the gas phase than in solution. Results also show that the stability of 3-OHTRN dimers in the gas phase is directly affected by the hydrogen bond length in the dimer structure.     

Fluorescence depolarization dynamics of ionic strength sensors using time-resolved anisotropy

Eukaryotic cells exploit dynamic and compartmentalized ionic strength to impact a myriad of biological functions such as enzyme activities, protein-protein interactions, and catalytic functions. Herein, we investigated the fluorescence depolarization dynamics of recently developed ionic strength biosensors (mCerulean3-linker-mCitrine) in Hofmeister salt (KCl, NaCl, NaI, and Na₂SO₄) solutions. The mCerulean3-mCitrine acts as a Förster resonance energy transfer (FRET) pair, tethered together by two oppositely charged α-helices in the linker region. We developed a time-resolved fluorescence depolarization anisotropy approach for FRET analyses, in which the donor (mCerulean3) is excited by 425-nm laser pulses, followed by fluorescence depolarization analysis of the acceptor (mCitrine) in KE (lysine-glutamate), arginine-aspartate, and arginine-glutamate ionic strength sensors with variable amino acid sequences. Similar experiments were carried out on the cleaved sensors as well as an E6G2 construct, which has neutral α-helices in the linker region, as a control. Our results show distinct dynamics of the intact and cleaved sensors. Importantly, the FRET efficiency decreases and the donor-acceptor distance increases as the environmental ionic strength increases. Our chemical equilibrium analyses of the collapsed-to-stretched conformational state transition of KE reveal that the corresponding equilibrium constant and standard Gibbs free energy changes are ionic strength dependent. We also tested the existing theoretical models for FRET analyses using steady-state anisotropy, which reveal that the angle between the dipole moments of the donor and acceptor in the KE sensor are sensitive to the ionic strength. These results help establish the time-resolved depolarization dynamics of these genetically encoded donor-acceptor pairs as a quantitative means for FRET analysis, which complement traditional methods such as time-resolved fluorescence for future in vivo studies.     

Molecular design and engineering of phosphopeptide ligands to target lung cancer polo-like kinase

Polo-like kinase (Plk) plays a central role in centrosome cycle and is closely associated with the oncogenesis of lung cancer. The protein consists of a catalytic kinase domain (KD) and a regulatory polo-box domain (PBD); either direct inhibition of the KD’s catalytic activity or indirect disruption of the PBD–substrate interaction can be used to potentially suppress the pathological activation of lung cancer Plk. Here, we reported a successful molecular design and engineering of phosphopeptide ligands to target Plk PBD domain by integrating in silico modeling and in vitro assay. In the procedure, a helical peptide segment hps was derived from dimerization interface of the complex crystal structure of domain dimer using bioinformatics approach, which was then used as sequence template to generate potent phosphopeptide binders of Plk PBD domain in terms of a systematic residue mutation profile. Fluorescence anisotropy assays were conducted to substantiate the findings and conclusions obtaining from the molecular engineering. Consequently, three helical phosphopeptides, including the native hps and its two mutants hps-m ₁ and hps-m ₂, were successfully designed that can independently rebind to Plk PBD domain with a moderate or high affinity (K _d = 127, 26, and 5 μM, respectively). These peptide ligands can be considered as potent self-competitors to disrupt PBD dimerization in lung cancer metastasis. Structural and energetic analysis revealed that hydrophobic forces and van der Waals contacts confer strong stability for domain–peptide complex system, while hydrogen bonds and electrostatic interactions contribute specificity and selectivity to the complex recognition.     

Sequence dependence of BNIP3 transmembrane domain dimerization implicates side-chain hydrogen bonding and a tandem GxxxG motif in specific helix-helix interactions

The transmembrane domain of the pro-apoptotic protein BNIP3 self-associates strongly in membranes and in detergents. We have used site-directed mutagenesis to analyze the sequence dependence of BNIP3 transmembrane domain dimerization, from which we infer the physical basis for strong and specific helix-helix interactions in this system. Hydrophobic substitutions identify six residues as critical to dimerization, and the pattern of sensitive residues suggests that the BNIP3 helices interact at a right-handed crossing angle. Based on the dimerization propensities of single point mutants, we propose that: polar residues His173 and Ser172 make inter-monomer hydrogen bonds to one another through their side-chains; Ala176, Gly180, and Gly184 form a tandem GxxxG motif that allows close approach of the helices; and Ile183 makes inter-monomer van der Waals contacts. Since neither the tandem GxxxG motif nor the hydrogen bonding pair is sufficient to drive dimerization, our results demonstrate the importance of sequence context for either hydrogen bonding or GxxxG motif involvement in BNIP3 transmembrane helix-helix interactions. In this study, hydrophobic substitutions away from the six interfacial positions have almost no effect on dimerization, confirming the expectation that hydrophobic replacements affect helix-helix interactions only if they interfere with packing or hydrogen bonding by interfacial residues. However, changes to slightly polar residues are somewhat disruptive even when located away from the interface, and the degree of disruption correlates with the decrease in hydrophobicity. Changing the hydrophobicity of the BNIP3 transmembrane domain alters its helicity and protection of its backbone amides. We suggest that polar substitutions decrease the fraction of dimer by stabilizing an unfolded monomeric state of the transmembrane span, rather than by affecting helix-helix interactions. This result has broad implications for interpreting the sequence dependence of membrane protein stability in detergents.     

Caractéristiques géométriques de la séquence Hα?Cα?N?H de l'isoquinuclidone-3 examinée dans différents etats physiques influence sur la constante de couplage vicinal J

The X-ray structure analysis of a crystalline sample of 2-azabicyclo-[2,2,2]-octanone-3 or 3-isoquinuclidone shows that the molecules of this compound are associated in centrosymmetrical dimers stabilized by two N? H? O?C hydrogen bonds in which the N,H,O atoms are nearly collinear. As a consequence of this interaction, the H atom is shifted from its usual position and the C^α? N? H angle is increased to 125°. Using infrared spectroscopy (ν_N–H frequency range), it is possible to demonstrate that 3-isoquinuclidone is mainly in a dimeric form when dissolved in an inert solvent such as CCl₄ and to observe the dimer-monomer equilibrium on dilution from saturation to a low concentration (0.005 mole/l.). On the contrary, dimers are broken off when operating in a polar medium (acetonitrile, deuterochloroform). In the same experimental conditions, measurements of the J vicinal coupling constant, by nuclear magnetic resonance spectroscopy, afford a concentration-dependent result in the case of CCl₄ solutions (increasing from 5.4 to 5.7 Hz when diluting from 0.5 to 0.005 mole/l.) and a constant one (5.8 Hz) in the case of CH₃CN or CDCl₃ solutions. Then the 0.4-Hz difference can be attributed to geometrical changes in the H^α? C^α? N? H system when dimers are broken off and the valence angle C^α? N? H consequently decreases from 125° to its standard value (about 115°). This experimental observation is consistent with the result of a theoretical analysis performed by the INDO method. Then it seems that the use of the formulas proposed by Karplus to account for the valence angle distorsions in ethane-like systems, in the case of the H^α? C^α? N? H sequence, could yield overstimated corrections.     

Conformational Preferences of Modified Nucleoside N(4)-Acetylcytidine, ac4C Occur at “Wobble” 34th Position in the Anticodon Loop of tRNA

Conformational preferences of modified nucleoside, N(4)-acetylcytidine, ac⁴C have been investigated using quantum chemical semi-empirical RM1 method. Automated geometry optimization using PM3 method along with ab initio methods HF SCF (6-31G**), and density functional theory (DFT; B3LYP/6-31G**) have also been made to compare the salient features. The most stable conformation of N(4)-acetyl group of ac⁴C prefers “proximal” orientation. This conformation is stabilized by intramolecular hydrogen bonding between O(7)···HC(5), O(2)···HC2′, and O4′···HC(6). The “proximal” conformation of N(4)-acetyl group has also been observed in another conformational study of anticodon loop of E. coli elongator tRNA^Met. The solvent accessible surface area (SASA) calculations revealed the role of ac⁴C in anticodon loop. The explicit molecular dynamics simulation study also shows the “proximal” orientation of N(4)-acetyl group. The predicted “proximal” conformation would allow ac⁴C to interact with third base of codon AUG/AUA whereas the ‘distal’ orientation of N(4)-acetyl cytidine side-chain prevents such interactions. Single point energy calculation studies of various models of anticodon–codon bases revealed that the models ac⁴C₍₃₄₎(Proximal):G₃, and ac⁴C₍₃₄₎(Proximal):A₃ are energetically more stable as compared to models ac⁴C₍₃₄₎(Distal):G₃, and ac⁴C₍₃₄₎(Distal):A₃, respectively. MEPs calculations showed the unique potential tunnels between the hydrogen bond donor–acceptor atoms of ac⁴C₍₃₄₎(Proximal):G₃/A₃ base pairs suggesting role of ac⁴C in recognition of third letter of codons AUG/AUA. The “distal” conformation of ac⁴C might prevent misreading of AUA codon. Hence, this study could be useful to understand the role of ac⁴C in the tertiary structure folding of tRNA as well as in the proper recognition of codons during protein biosynthesis process.     

The chemistry of thiamine: Studies on the dimerization of thiazolium salts

In this communication we report on our studies into the previously undetected dimerization chemistry of thiazolium salts. Thiazolium salts with electron-withdrawing substituents, such as 3,4-dimethyl-5-ethoxycarbonylthiazolium iodide, yield acid- and oxygen-sensitive ethylenic dimers under conditions originally used to detect the dimerization of 3-methylbenzothiazolium iodide. The 5-ethoxycarbonyl-4-methyl-3-phenylmethylthiazolium and 5-(2-O-triphenylmethyl-hydroxyethyl)-4-methyl-3-phenylmethylthiazolium bromides yield stable rearranged dimers, rather than the labile ethylenic dimers, under identical conditions. 4-Methyl-5-(2-hydroxyethyl)-3-phenylmethylthiazolium bromide and thiamine hydrochloride yield rearranged dimers which were isolated as their N,O-ketal derivatives when these salts were heated in aprotic solution in the presence of DBN and K₂CO₃, respectively. Rearrangement of the ethylenic dimer of 3-phenylmethylbenzothiazolium bromide to 2-(benzothiazol-2-yl)-2,3-diphenylmethylbenzothiazoline (J. Baldwin, S. E. Branz, and J. A. Walker (1977) J. Org. Chem. 42, 4142) demonstrates that rearranged dimers of these thiazolium salts are produced via a mechanism involving 1,3-sigmatropic rearrangement of intermediate ethylenic dimers. Based on literature precedent we argue that this dimerization chemistry demonstrates the nucleophilic carbene nature of C-2 deprotonated thiazolium salts in aprotic basic solution.     

Dimerization properties of the transmembrane domains of Arabidopsis CRINKLY4 receptor-like kinase and homologs

CRINKLY4 (CR4) is a plant serine–threonine receptor kinase. In Zea mays, CR4 functions in the differentiation of the leaf epidermis and the aleurone cell layer and, in Arabidopsis thaliana, the ortholog ACR4 is involved in the development of the integument and seed coat. The Arabidopsis genome also encodes four CR4-related proteins (CRR) whose functions are not known. Based on studies of animal receptor kinase proteins it is likely that the molecular basis of function of CR4 and related proteins is mediated by receptor dimerization. The importance of the transmembrane (TM) domain in the dimerization of several receptor kinases has been demonstrated by the TOXCAT system, a genetic assay that measures helix interactions in a natural membrane environment. In this study, we have used the TOXCAT assay to investigate the potential of the CR4 and CR4-related TM domains to homo-dimerize. Our investigation indicates that the CR4 TM domain and the CRR TM domains have higher propensities for homo-dimerization than the ACR4 TM domain. Interestingly, the dimerization potential of the ACR4 TM domain is significantly weaker even though 13 of 24 amino acids are identical to that of the CR4 TM domain. In order to determine the contributions of specific amino acids to the higher dimerization potential of CR4 compared to ACR4, mutations were made at specific sites in ACR4 TM domain and the strength of the dimer assessed by the TOXCAT assay. One mutation restored the activity to the CR4 level, while other mutations produced either no change or significantly increased the dimerization potential of the ACR4 TM domain. Our results indicate that the TM domains of CR4, ACR4 and the CRR receptor family of proteins have the intrinsic capacity to homo-dimerize, albeit with varying degrees of affinity.     

Delineation of a new structural motif involving NHN γ-turn

Macromolecules are characterized by distinctive arrangement of hydrogen bonds. Different patterns of hydrogen bonds give rise to distinct and stable structural motifs. An analysis of 4114 non-redundant protein chains reveals the existence of a three-residue, (i − 1) to (i + 1), structural motif, having two hydrogen-bonded five-membered pseudo rings (the first, an N H···OC involving the first residue, and the second being N H∙∙∙N involving the last two residues), separated by a peptide bond. There could be an additional hydrogen bond between the side-chain at (i-1) and the main-chain NH of (i + 1). The average backbone torsion angles of −76(±21)° and – 12(±17)° at i creates a tight turn in the polypeptide chain, akin to a γ-turn. Indeed, a search of three-residue fragments with restriction on the terminal C^α···C^α distance and the existence of the two pseudo rings on either side revealed the presence 14 846 cases of a variant, termed NHN γ-turn, distinct from the NHO γ-turn (2032 cases) that has traditionally been characterized by the presence of NHO hydrogen bond linking the terminal main-chain atoms. As in the latter, the newly identified γ-turns are also of two types—classical and inverse, occurring in the ratio of 1:6. The propensities of residues to occur in these turns and their secondary structural features have been enumerated. An understanding of these turns would be useful for structure prediction and loop modeling, and may serve as models to represent some of the unfolded state or disordered region in proteins.     

Packing interactions of aib-containing helices: Molecular modeling of parallel dimers of simple hydrophobic helices and of alamethicin

α-Aminoisobutyric acid (Aib) is a helicogenic α,α-dimethyl amino acid found in channel-forming peptaibols such as alamethicin. Possible effects of Aib on helix–helix packing are analyzed. Simulated annealing via restrained molecular dynamics is used to generate ensembles of approximately parallel helix dimers. Analysis of variations in geometrical and energetic parameters within ensembles defines how tightly a pair of helices interact. Simple hydrophobic helix dimers are compared: Ala₂₀, Leu₂₀, Aib₂₀, and P20, the latter a simple channel-forming peptide [G. Menestrina, K. P. Voges, G, Jung, and G. Boheim (1986) Journal of Membrane Biology, Vol. 93, pp. 111–132]. Ala₂₀ and Leu₂₀ dimers exhibit well-defined ridges-in-grooves packing with helix crossing angles (Ω) of the order of +20°. Aib₂₀ α-helix dimers are much more loosely packed, as evidenced by a wide range of Ω values and small helix-helix interaction energies. However, when in a 3₁₀ conformation Aib₂₀ helices pack in three well-defined parallel modes, with Ω ca. ?15°, +5°, and 10°. Comparison of helix–helix interaction energies suggests that dimerization may favor the 3₁₀ conformation. P20, with 8 Aib residues, also shows looser packing of α-helices. The results of these studies of hydrophobic helix dimers are analyzed in the context of the ridges-in-grooves packing model. Simulations are extended to dimers of alamethicin, and of an alamethicin derivative in which all Aib residues are replaced by Leu. This substitution has little effect on helix–helix packing. Rather, such interactions appear to be sensitive to interactions between polar side chains. Overall, the results suggest that Aib may modulate the packing of simple hydrophobic helices, in favor of looser interactions. For more complex amphipathic helices, interactions between polar side chains may be more critical. © 1995 John Wiley & Sons, Inc.