Evolution of the three overlapping gene systems in G4 and phi X174.

Bacteriophage G4 has the same $\text{A}\text{B}$ and $\text{D}\text{E}$ overlapping gene systems as φX174 and together with the A and $\text{C}\text{K}$ overlapping gene system (Shaw et al., 1978), 7 of the 11 G4 and φX174 genes are involved in overlaps. The nucleotide differences between G4 and φX174 in the overlapping portions of the A, C and D genes are 23%, 27% and 21%, respectively, compared with 32%, 36% and 34% in the non-overlapping portions of the same genes. The amino acid differences between the G4 and φX174 overlapping B, K and E proteins, are 44%, 39% and 44%, respectively, compared with 28%, 26% and 16% in the regions of genes A, A and C, and D which contain genes B, K and E. These results suggest that the nucleotide sequences of overlapping genes evolve at almost the same rate as in non-overlapping genes, and that this is made possible by a lower amino acid sequence stringency of one of the pairs of proteins. The overlapping $\text{D}\text{E}$ and A and $\text{C}\text{K}$ gene systems may have originated by taking advantage of a high incidence of T nucleotides in the second codon position to produce a hydrophobic protein and the $\text{A}\text{B}$ gene system may have evolved by read-through of the A gene into the B gene. From the nucleotide sequences, other overlapping genes appear to be possible in these bacteriophages.     

The composition-dependence of the extent of reaction between a multivalent acceptor and a bivalent ligand: Implications of self-interaction of the ligand in precipitin effects

Theory is presented relating to the reversible interaction of an f-valent acceptor, A, with a bivalent ligand, B, which leads to the formation of a series of complexes comprising networks of alternating A and B molecules. An explicit expression is derived for the overall extent of reaction in terms of the total molar concentrations of reactants $\text{(}\text{m}{}_{\mathrm{A}}$ and $\text{m}{}_{\mathrm{B}}\text{)}$, the valency of the acceptor and the site-binding constant, k, governing the equilibria. It is shown by differentiation of this expression holding $\text{m}{}_{\mathrm{A}}$ (or $\text{m}{}_{\mathrm{B}}$) fixed that relations are available for the independent evaluation of f and k from a combination of precipitin and radioimmunoassay experiments. Moreover, it is established that dilution with solvent ($\text{m}{}_{\mathrm{A}}\text{/}\text{m}{}_{\mathrm{B}}$ fixed) cannot lead to the appearance of a precipitate with this type of crosslinking system. The latter observation forms the background for the development of theory pertaining to the joint operation of ligand dimerization, 2B?B₂, and crosslinking of the multivalent acceptor with bivalent B₂. The theoretical examination of this system is developed in terms of site-probability functions and involves the delineation of unique solutions for the extent of crosslinking reaction aided by the definition of the extent of binding in defined limits. It is shown with the use of numerical examples that the system involving self-associating ligand may result in the appearance of a precipitate on dilution with solvent and the conditions for the operation of this phenomenon are elucidated. It is noted that other types of ligand self-interaction may lead to similar effects in crosslinking systems, and the general principles emerging from this study are discussed in terms of systems in which antibody ligands are known to be involved in association reactions or are suspected to be so involved on the basis of precipitation effects observed on dilution with solvent.     

Binding equations for interacting systems comprising multivalent acceptor and bivalent ligand: application to antigen-antibody systems

Consideration is given to the reversible interaction of a bivalent ligand, B, with a multivalent acceptor, A (possessing f reactive sites) which leads to the formation of a series of complexes, A_iB_j, comprising networks of alternating acceptor and ligand molecules. A binding equation is derived on the basis of a site association constant, k, defined in terms of reacted site probability functions. This equation, which relates the binding function, r (the moles of ligand bound per mole of acceptor) to the concentration of unbound ligand, m_b, is used to show that plots of r vs. 2km_B constructed with fixed but different values of $\text{k}\text{m}{}_{\mathrm{A}}$ intersect at the point ($\text{m}{}_{\mathrm{B}}\text{=}\text{1}\text{2k}\text{, r =}\text{f}\text{2}$) where the extent of reaction and the concentrations of those complexes for which $\text{j}\text{i}\text{=}\text{f}\text{2}$ attain maximal values. Corresponding Scatchard plots are shown by numerical example to be non-linear, their second derivative being positive for all r. It follows that such deviations from linearity cannot be taken alone as evidence for site heterogeneity in cross-linking systems. The binding equation obtained directly is shown to be identical with that obtained with f = 2 by summation procedures involving the general expression for concentrations of complexes, m_AiBj, formulated in terms of appropriate statistical factors. In this way, previous findings on precipitation and gel formation in cross-linking systems are correlated with the present development of binding theory.     

Electron diffraction determination of chain packing of a ketonic insect wax

Single crystal electron diffraction patterns are obtained from thin microcrystals of two polymorphic forms of a pure ketonic wax secreted by the wooly alder aphid, Prociphilus tessellatus. One crystalline form gives intensity data which agree well with the commonly observed O_⊥ methylene subcell. The unit cell constants for the projection are $\text{a = 7.52}\text{A}\text{?}$ and $\text{b = 5.05}\text{A}\text{?}$. The other polymorph, which is found less often, is a rectangular supercell with pseudohexagonal symmetry in the intensity-weighted hk0 reciprocal net. The supercell parameters in projection are $\text{a = 42.06}\text{A}\text{?}$, and $\text{b = 9.12}\text{A}\text{?}$ with the inner order hexad of intense spots occurring at 4.20 Å.     

Some observations on a new type of point average molecular weight

A new type of (reduced) point average molecular weight A¹, is described. Several interesting properties are developed: (i) $\text{A}{}^1\text{=}\text{reduced}$ weight average molecular weight over the whole cell, $\text{A}{}_{\mathrm{<mtext>w</mtext>}}{}^{\mathrm{o}}\text{A}{}^1\text{(}\text{meniscus}\text{) = A}{}_{\mathrm{<mtext>w</mtext>}}\text{(}\text{meniscus}\text{); (iii) A}{}^1\text{(}\text{zero concentration}\text{) =}\text{reduced}$ number average molecular weight, A_n (meniscus). In addition, its usefulness in extracting the meniscus concentration, J(a), and in examining heterogeneous systems such as mucus glycoproteins, are discussed. The evaluation and application of $\text{A}{}^1$ requires only simple computational facilities, without the use for large-scale multiple data acquisition and recycling techniques.     

Characterization of two crystal forms of neutrophil cationic protein NP2, a naturally occurring broad-spectrum antimicrobial agent from leukocytes

A hexagonal crystal form (P6₃22, $\text{a = b = 34.0}\text{A}\text{?}\text{, c = 113.5}\text{A}\text{?}$) and a monoclinic form (P2₁, $\text{a = 37.1}\text{A}\text{?}\text{, b = 32.2}\text{A}\text{?}\text{, c = 32.4}\text{A}\text{?}\text{, β = 110 °}$) of neutrophil cationic protein NP2, isolated from rabbit leukocytes, have been characterized. The monoclinic form, containing two promoters (M_r = 3844) per asymmetric unit, diffracts to at least 1.8 Å and is suitable for high-resolution structural studies.     

Letter: Studies on histidinol dehydrogenase preliminary crystallographic data

Crystals of histidinol dehydrogenase (EC 1.1.1.23) from Salmonella typhimurium have been obtained in large size suitable for single crystal X-ray studies. The following crystal data were obtained on examination of a number of X-ray precession photographs; crystal system monoclinic, $\text{a = 149.6}\text{A}\text{?}$, $\text{b = 88.9}\text{A}\text{?}$, $\text{c = 105.6}\text{A}\text{?}$, β = 124.5 °, space group C2. The density of the crystal measured by flotation in bromobenzene/xylene mixture is 1.186 g/cm³. There is one dimer molecule of molecular weight 80,000 in one crystallographically asymmetric unit.     

New experimental approach to the estimation of rate of electron transfer from the primary to secondary acceptors in the photosynthetic electron transport chain of purple bacteria

A method for calculating the rate constant ($\text{K}{}_{\mathrm{<mtext>A</mtext><mtext>1</mtext><mtext>A</mtext><mtext>2</mtext>}}$) for the oxidation of the primary electron acceptor (A₁) by the secondary one (A₂) in the photosynthetic electron transport chain of purple bacteria is proposed.The method is based on the analysis of the dark recovery kinetics of reaction centre bacteriochlorophyll (P) following its oxidation by a short single laser pulse at a high oxidation-reduction potential of the medium. It is shown that in Ectothiorhodospira shaposhnikovii there is little difference in the value of $\text{K}{}_{\mathrm{<mtext>A</mtext><mtext>1</mtext><mtext>A</mtext><mtext>2</mtext>}}$ obtained by this method from that measured by the method of Parson ((1969) Biochim. Biophys. Acta 189, 384–396), namely: $\text{(4.5±1.4) · 10}{}^3\text{s}{}^{\mathrm{?1}}$ and $\text{(6.9±1.2) · 10}{}^3\text{s}{}^{\mathrm{?1}}$, respectively.The proposed method has also been used for the estimation of the $\text{K}{}_{\mathrm{<mtext>A</mtext><mtext>1</mtext><mtext>A</mtext><mtext>2</mtext>}}$ value in chromatophores of Rhodospirillum rubrum deprived of constitutive electron donors which are capable of reducing P⁺ at a rate exceeding this for the transfer of electron from A₁ to A₂. The method of Parson cannot be used in this case. The value of $\text{K}{}_{\mathrm{<mtext>A</mtext><mtext>1</mtext><mtext>A</mtext><mtext>2</mtext>}}$ has been found to be $\text{(2.7±0.8) · 10}{}^3\text{s}{}^{\mathrm{?1}}$.The activation energies for the A₁ to A₂ electron transfer have also been determined. They are 12.4 kcal/mol and 9.9 kcal/mol for E. shaposhnikovii and R. rubrum, respectively.     

Preliminary X-ray diffraction studies on a ferredoxin from the thermophilic archaebacterium,Thermoplasma acidophilum

A ferredoxin from the thermophilic archaebacterium, Thermoplasmaacidophilum, is supposed to contain two (4Fe-4S) active centers; one center could be linked by four cysteine residues to the protein and the other bonded with three cysteines and an unknown group. This ferredoxin has been crystallized by salting-out against 2.3 m-ammonium sulfate solution. The space group is P2₁2₁2 with cell dimensions of $\text{a = 59.20}\text{A}\text{?}\text{, b = 52.77}\text{A}\text{?}\text{and}\text{c = 41.28}\text{A}\text{?}$. Four molecules pack in the unit cell with $\text{V}{}_{\mathrm{<mtext>m</mtext>}}\text{= 2.03}\text{A}\text{?}{}^3\text{/dalton}$.     

Letter: Crystallization and preliminary x-ray diffraction studies on tyrosyl-transfer RNA synthetase from Bacillus stearothermophilus

Conditions have been established for the crystallization of tyrosyl-transfer RNA synthetase from Bacillus stearothermophilus at room temperature. The crystals are extremely well-ordered, exhibiting diffraction spots out to at least 2.7 Å, and can be grown to a convenient size for X-ray crystallographic analysis. The crystals are trigonal with a space group P3₁21, the unit cell having dimensions of $\text{a = 64.4}\text{A}\text{?}$ and $\text{c = 238}\text{A}\text{?}$; the crystallographic asymmetric unit is probably one subunit of the dimeric (2 × 45,000, mol. wt) enzyme. The enzyme crystals are extremely stable and exhibit good resistance to radiation damage. This amino-acyl-tRNA synthetase appears to be amenable to complete structure determination by X-ray crystallography.     

Comparison of mammalian collagen and elasmobranch elastoidin fiber structures, based on electron density profiles.

Standard difference-Fourier methods of crystallography, applied to the axial small-angle X-ray diffraction of elastoidin, develop a four-strip model for the distribution of electron density along shark-fin ceratotrichial axes. This result is obtained directly from X-ray data. The model consists of three major strips with centers separated approximately by $\text{d}\text{3}$ ($\text{d = 670}\text{A}\text{?}$, the familiar collagen macroperiod), superimposed upon a wide strip extending over 0·49 d, representing the overlap-hole zone background, also found in mammalian collagens. The three narrower strips correspond to cross-sections which resist negative staining or diametral contraction on drying, reported to be characteristic of elastoidin from electron microscopy. Chemical evidence suggests that these unique cross-sections (“superbands”) occur at axial locations where a tyrosine-rich matrix, intimately associated with very thin collagen units, produces paracrystalline order with good axial registration but poor transverse order, across an entire ceratotrichium (diam. ~ 1 to 2 mm). The analogous but quite different condition in mammalian collagen fibers involves an intra-fibrillar paracrystalline order (diam. approx. 1000 Å), with inter-fibrillar stabilization by a mucopolysaccharide matrix. Stiffening of the elastoidin by means of the tyrosine-rich matrix exemplifies a way, alternative to mineralization processes (e.g. in bone), of reducing collagenous fiber flexibility.     

The secondary attachment site for bacteriophage lambda in the proA/B gene of Escherichia coli

We have determined the nucleotide sequence of a secondary λ attachment site in $\text{pro}\text{A}\text{B}$, a site that accounts for 3% of lysogens isolated from Escherichia coli strains deleted for the primary site. Direct sequence analysis of the transducing bacteriophages carrying the left and right att junctions, as well as the recombinant pro⁺ phage reveals that the $\text{pro}\text{A}\text{B}$ site shares an 11-nucleotide interrupted homology with the core sequence of the primary site. We have compared the $\text{pro}\text{A}\text{B}$att site with other secondary attachment sites to gain insights into the structural features important for λ integration.     

Letter: Preliminary crystallographic data for Escherichia coli beta-lactamase

The β-lactamase (penicillinase) from Escherichia coli W3310 has been crystallized from 25% saturated ammonium sulfate solution at pH 6.9. An X-ray examination of the monoclinic crystals shows the space group is C2, with unit cell dimensions $\text{a = 47.2}\text{A}\text{?}$, $\text{b = 76.9}\text{A}\text{?}$, $\text{c = 73.3}\text{A}\text{?}$ and β = 98.6°. With Z = 4 and the molecular weight = 22,000 (Melling &; Scott, 1972), the ų/dalton ratio is 2.98. The crystals are suitable for structure analysis to at least 2.4 Å resolution.     

The structure of a repressor: crystallographic data for the Cro regulatory protein of bacteriophage lambda.

Crystals of the bacteriophage λ Cro repressor protein that are suitable for X-ray diffraction studies have been obtained. Preliminary crystallographic analysis reveals that the space group is R32, the cell dimensions in the hexagonal system are $\text{a = b = 91·9}\text{A}\text{?}\text{, c = 268·9}\text{A}\text{?}$, and there are three dimers per asymmetric unit.     

Crystallization of cow α-lactalbumin

Three new crystal forms of cow α-lactalbumin are described. A trigonal form in space group P3₁21 or P3₂21 has unit cell dimensions: $\text{a = b = 57.4}\text{A}\text{?}\text{, c = 75.0}\text{A}\text{?}$. A hexagonal form in space group P622 has unit cell dimensions: $\text{a = b = 94.0}\text{A}\text{?}\text{, c = 67.1}\text{A}\text{?}$. A second trigonal form grown in the presence of calcium ions belongs to space group P321 with unit cell dimensions: $\text{a = b = 93.7}\text{A}\text{?}\text{, c = 66.9}\text{A}\text{?}$. The significance of these new crystal forms to the structure determination of cow α-laetalbumin is discussed.     

Letter: crystallographic data fro lysoxyme from bacteriophage T4

The lysozyme of bacteriophage T4 has been crystallized in a form suitable for X-ray diffraction analysis. The space group is P3₁21 or enantiomorph, and the cell dimensions are $\text{a = b = 61.1}\text{A}\text{?}$, $\text{c = 96.3}\text{A}\text{?}$.     

Visualization of drug--nucleic acid interactions at atomic resolution. V. Structure of two aminoacridine--dinucleoside monophosphate crystalline complexes, proflavine--5-iodocytidylyl (3'-5') guanosine and acridine orange--5-iodocytidylyl (3'-5') guanosine

Acridine orange and proflavine form complexes with the dinucleoside monophosphate, 5-iodocytidylyl(3′–5′)guanosine. The acridine orange-iodoCpG² crystals are monoclinic, space group P2₁, with unit cell dimensions $\text{a = 14.36}\text{A}\text{?}\text{, b = 19.64}\text{A}\text{?}\text{, c = 20.67}\text{A}\text{?}$, β = 102.5 °. The proflavine-iodoCpG crystals are monoclinic, space group C2, with unit cell dimensions $\text{a = 32.14}\text{A}\text{?}\text{, b = 22.23}\text{A}\text{?}\text{, c = 18.42}\text{A}\text{?}$, β = 123.3 °. Both structures have been solved to atomic resolution by Patterson and Fourier methods, and refined by full matrix least-squares.Acridine orange forms an intercalative structure with iodoCpG in much the same manner as ethidium, ellipticine and 3,5,6,8-tetramethyl-N-methyl phenanthrolinium (Jain et al., 1977, Jain et al., 1979), except that the acridine nucleus lies asymmetrically in the intercalation site. This asymmetric intercalation is accompanied by a sliding of base-pairs upon the acridine nucleus and is similar to that observed with the 9-aminoacridine-iodoCpG asymmetric intercalative binding mode described in the previous papers (Sakore et al., 1977, Sakore et al., 1979). Basepairs above and below the drug are separated by about 6.8 Å and are twisted about 10 °; this reflects the mixed sugar puckering pattern observed in the sugar-phospate chains: C3′ endo (3′–5′) C2′ endo (i.e. each cytidine residue has a C3′ endo sugar comformation, while each guanosine residue has a C2′ endo sugar conformation), alterations in glycosidic torsional angles and other small but significant conformational changes in the sugar-phosphate backbone.Proflavine, on the other hand, demonstrates symmetric intercalation with iodoCpG. Hydrogen bonds connect amino groups on proflavine with phosphate oxygen atoms on the dinucleotide. In contrast to the acridine orange structure, base-pairs above and below the intercalative proflavine molecule are twisted about 36 °. The altered magnitude of this angular twist reflects the sugar puckering pattern that is observed: C3′ endo (3′–5′) C3′ endo. Since proflavine is known to unwind DNA in much the same manner as ethidium and acridine orange (Waring, 1970), one cannot use the information from this model system to understand how proflavine binds to DNA (it is possible, for example, that hydrogen bonding observed between proflavine and iodoCpG alters the intercalative geometry in this model system).Instead, we propose a model for proflavine-DNA binding in which proflavine lies asymmetrically in the intercalation site (characterized by the C3′ endo (3′–5′) C2′ endo mixed sugar puckering pattern) and forms only one hydrogen bond to a neighboring phosphate oxygen atom. Our model for proflavine-DNA binding, therefore, is very similar to our acridine orange-DNA binding model. We will describe these models in detail in this paper.     

Purification and preliminary crystallographic studies on azurin and cytochrome c' from Alcaligenes denitrificans and Alcaligenes sp. NCIB 11015.

Purification and crystallisation procedures are reported for azurin and cytochrome c′ from Alcaligenes denitrificans and Alcaligenes sp. NCIB 11015. The azurin crystals from A. denitrificans are suitable for high-resolution X-ray structure analysis. They are orthorhombic, space group C222₁ (with marked tetragonal pseudo-symmetry), cell dimensions $\text{a = 75.0}\text{A}\text{?}\text{, b = 74.1}\text{A}\text{?}\text{, c = 99.5}\text{A}\text{?}$, with two molecules per asymmetric unit. The cytochrome c′ crystals from both species are hexagonal, space group P6₁22 (or P6₅22), cell dimensions $\text{a = b = 54.7}\text{A}\text{?}\text{, c ~ 185}\text{A}\text{?}$, γ = 120 °, with one subunit (molecular weight 14,000) in the asymmetric unit.     

A preliminary crystallographic investigation of rabbit muscle creatine kinase

Three crystal forms of rabbit muscle creatine kinase have been grown, one of which seems suited to a high resolution X-ray diffraction study. The first form is of monoclinic space group P2₁ with $\text{a = 54}\text{A}\text{?}\text{, b = 114}\text{A}\text{?}\text{, c = 145}\text{A}\text{?}\text{, β = 91 °}$ and has as the asymmetric unit two molecules of total molecular weight 160, 000. The second form, grown in the presence of mercurials, is of space group A2 with $\text{a = 52}\text{A}\text{?}\text{, b = 165}\text{A}\text{?}\text{, c = 237}\text{A}\text{?}\text{, β = 91 °}$ and also has two molecules in the asymmetric unit. The third crystal form, grown in the presence of a high concentration of cysteine, is of apparent space group P2₁2₁2₁, but evidence indicates that the true space group may be P2₁22₁. The dimensions of the orthorhombic unit cell are $\text{a = 47}\text{A}\text{?}\text{, b = 86}\text{A}\text{?}\text{, c = 125}\text{A}\text{?}$, and the asymmetric unit contains a single protein subunit. Assuming the latter space group, then the creatine kinase molecule possesses a twofold axis relating two identical subunits.     

Disequilibrium among several linked neutral genes in finite population 1. mean changes in disequilibrium

Formulae are developed for computing changes in expected values in a finite population of linkage disequilibrium among neutral genes from more than two loci, although the exact analysis is taken up to only six loci. An essentially haploid model is used. As with two loci, the three-locus disequilibrium declines exponentially at all generations, but for m > 3 loci a matrix has to be constructed to give joint changes in the m-locus disequilibrium and products of disequilibria with fewer loci, for example of two $\text{m}\text{2}\text{-}\text{locus}$ disequilibria. The asymptotic rates of change in multilocus disequilibria depend on the arrangement of genes on the chromosome as well as its total length, but the initial rate of breakdown of disequilibrium from a line cross base is less dependent on the arrangement. With equally spaced loci the asymptotic rate of breakdown of m locus disequilibrium is roughly proportional to m. Although mutation and interference are excluded from the main analysis, it is shown how they can be incorporated.