Quantitative structure-activity relationships of chymotrypsin-ligand interactions: An analysis of interactions in p3 space.

Fourteen derivatives of l-alanine of the type CH₃CH(NHCO-3-C₅H₄N)COOR₃ have been synthesized and their hydrolysis by chymotrypsin was studied with the object of characterizing enzymic space (?₃) to which R₃ binds. The binding of R₃ ($\text{log}\text{1}\text{K}{}_{\mathrm{m}}$) was shown via correlation analysis to correlate with molar refractivity (MR) of R₃ rather than hydrophobicity (π). The results confirmed our earlier predictions. A correlation equation for the hydrolysis of 77 acyl-amino acid esters of the general formula R₂CH(NHCOR₁)COOR₃ relating $\text{log}\text{(k}{}_{\mathrm{<mtext>cat</mtext>}}\text{k}{}_{\mathrm{m}}\text{)}$ to molar refractivity of R₁, R₂, and R₃ and to $\text{σ}{}^1$ (Taft's polar parameter) of R₃ was formulated. The general picture of ligand interactions with chymotrypsin as seen with correlation analysis is discussed.     

Inhibition of chymotrypsin by alkyl phosphonates: a quantitative structure-activity analysis.

A quantitative structure-activity relationship has been formulated for 53 alkyl phosphonates [R₂OPO(CH₃)SR₃] inhibiting chymotrypsin: . In this so-called bilinear model, k_i is the bimolecular rate constant (m^?1 s^?1), β is a disposable parameter evaluated by a computerized iterative procedure, MR is the molar refractivity of a substituent, $\text{σ}{}_3{}^1$ is Taft's polar parameter, and I is an indicator variable for substituents containing a sulfonium group. The correlation coefficient for this equation is 0.985. This quantitative structure-activity relationship is compared with those previously formulated for the action of chymotrypsin on acylamino acid ester substrates.     

Stereochemical control of yeast reductions. 2. Quantitative treatment of the kinetics of competing enzyme systems for a single substrate

Quantitative expressions have been developed for systems such as yeast reductions where competing enzymes act on one substrate to yield two enantiomeric products. These expressions relate the observed stereochemical variables, the extent of conversion (C), the optical purity expressed as enantiomeric excess (ee), and the initial substrate concentration (A₀) to the kinetic parameters K_R and K_S (apparent Michaelis constants) and y ($\text{V}{}_{\mathrm{R}}\text{V}{}_{\mathrm{S}}$, the ratio of maximal velocities) of such competing enzymes. The expressions have been experimentally verified using a purified competing enzyme system of l- and d-lactic dehydrogenases. Furthermore, the enantioselective reduction of β-keto esters by intact yeast cells has been examined by means of this kinetic analysis.     

Evidence for general catalysis and formation of nitrobenzene in the oxidation of phenylhydroxylamine in aqueous phosphate buffer

N-Phenylhydroxylamine is oxidized in aqueous phosphate buffer to nitrosobenzene, nitrobenzene, and azoxybenzene. Degradation is O₂ dependent and shows general catalysis by $\text{H}{}_2\text{PO}{}_4{}^{\mathrm{?}}$ (k₁ = 2.3 M^?2 sec^?1) and $\text{PO}{}_4{}^{\mathrm{?3}}$ (k₂ = 2.3 × 10⁵M^?2 sec^?1) or kinetically equivalent terms. Evidence is presented suggesting the intermediacy of a highly reactive species leading to these products.     

Cockroaches on a treadmill: Aerobic running

Five species of cockroach were tested on a miniature treadmill at three velocities as O₂ consumption () was measured: Gromphadorhina chopardi, Blaberus discoidalis, Eublaberus posticus, Byrsotria fumagata and Periplaneta americana. All cockroaches showed a classical aerobic response to running: increased rapidly from a resting rate to a steady-state on-response varied from under 30 s to 3 min. Recovery after exercise was rapid as well; $\text{t}{}_{\mathrm{<mtext>1</mtext><mtext>2</mtext>}}$ off-response varied from under 30 s to 6 min. These times are faster or similar to mammalian values. varied directly with velocity as in running mammals, birds and reptiles. during steady-state running was only 4–12 times higher than at rest. Running is energetically much less costly per unit time than flying, but the cost of transport per unit distance is much more expensive for pedestrians. The minimal cost of transport (M_run), the lowest necessary to transport a given mass a specific distance, is high in cockroaches due to their small size. The new data suggest that insects may be less economical than comparable sized vertebrates.     

The relative effectiveness of .OH,H2O2,O2−, and reducing free radicals in causing damage to biomembranes: A study of radiation damage to erythrocyte ghosts using selective free radical scavengers

The relative effectiveness of oxidizing (^.OH, H₂O₂), ambivalent (O₂^?) and reducing free radicals (e^? and CO₂^?) in causing damage to membranes and membrane-bound glyceraldehyde-3-phosphate dehydrogenase of resealed erythrocyte ghosts has been determined. The rates of damage to membranebound glyceraldehyde-3-phosphate dehydrogenase ($\text{R}$(enz)) were measured and the rates of damage to membranes ($\text{R}$(mb)) were assessed by measuring changes in permeability of the resealed ghosts to the relatively low molecular weight substrates of glyceraldehyde-3-phosphate dehydrogenase. Each radical was selectively isolated from the mixture produced during gamma-irradiation, using appropriate mixtures of scavengers such as catalase, superoxide dismutase and formate. ^.OH, O₂^? and H₂ O₂ were approximately equally effective in inactivating membrane-bound glyceraldehyde-3-phosphate dehydrogenase, while e^? and CO₂^? were the least effective. $\text{R}$(enz) values of O₂^? and H₂O₂ were 10-times and of ^.OH 15-times that of e^?. $\text{R}$(mb) values were quite similar for e^? and H₂O₂ (about twice that of O₂^?), while that of ^.OH was 3-times that of O₂^?. Hence, with respect to $\text{R}$(mb): ${}^{\mathrm{.}}\text{OH}\text{>}\text{e}{}^{\mathrm{?}}\text{=}\text{H}{}_2\text{O}{}_2\text{>}\text{O}{}_2{}^{\mathrm{?}}$ , and with respect to $\text{R}$(enz): ${}^{\mathrm{.}}\text{OH}\text{>}\text{O}{}_2{}^{\mathrm{?}}\text{=}\text{H}{}_2\text{O}{}_2\text{>}\text{e}{}^{\mathrm{?}}$. The difference between the effectiveness of the most damaging and the least damaging free radicals was more than 10-fold greater in damage to the enzyme than to the membranes. Comparison between H₂O₂ added as a chemical reagent and H₂O₂ formed by irradiation showed that membranes and membrane-bound glyceraldehyde-3-phosphate dehydrogenase were relatively inert to reagent H₂O₂ but markedly susceptible to the latter.     

Fluorescence X-ray absorption studies of rubredoxin and its model compounds

The X-ray absorption spectra of rubredoxin from Peptococcus aerogenes and of the model iron sulfur components prepared by Holm [Fe(S₂-O-xyl)₂] have been obtained in the oxidized and reduced forms using X-rays from synchrotron radiation at the Stanford Synchrotron Radiation Project. The spectra were measured both in transmission and by fluorescence, with the latter giving a several-fold higher signal-to-noise ratio for the protein. The edge spectra of the protein and the model compounds were extremely similar and both showed similar changes upon reduction. The best resolved change of the edge spectra upon reduction was a shift of the 1s-3d transition by ≈0.7 eV to lower energies. The EXAFS region of the spectra were converted to k-space and the data were fitted in order to determine first the average Fe-S distances, R_ave, and second their spread which, for rubredoxin, was described by a model wherein three Fe-S bonds had length R₃ and one R₁.Three different methods have been tried consisting essentially of fitting (1) both phase and amplitude simultaneously to the R₃, R₁ model, (2) phase alone to an R_ave model and using the phase to determine the spread of distance, and (3) using phase and amplitude to fit an R_ave model and then using the amplitudes alone to determine the spread of distances. The values of R_ave obtained for the oxidized state of rubredoxin were $\text{R}{}_{\mathrm{<mtext>ave</mtext>}}\text{= 2.265(13)}\text{A}\text{?}$ for the powder and 2.256(16) Å in solution. Upon reduction the value increased to 2.32(2) å. The spread of the distances was determined most accurately by the third method and was $\text{¦R}{}_3\text{— R}{}_1\text{¦= 0.04}{}^{\mathrm{+0.06}}{}_{\mathrm{?0.04}}\text{A}\text{?}$ for the oxidized powder and $\text{¦R}{}_3\text{— R}{}_1\text{¦= 0.08}$ for the reduced form. These values agree within combined experimental errors with the values found by extended X-ray absorption fine structure in the oxidized and reduced forms of Fe(S₂-O-xyl)₂, which also agreed with the previously published X-ray diffraction results.The agreement between the average distances in rubredoxin and the model compounds and the small spread allowable in the rubredoxin distances lead to the conclusion that any strain energy in the iron — sulfur bonds of Rub_ox is appreciably less than thermal energy. Hence the redox potential is not being regulated by strain in the iron — sulfur bond lengths.     

Dipole moments of random coil polypeptides

The Rotational Isomeric States model is applied to calculate dipole moments of polypeptides of the twenty natural α-amino acids in the random coil state. Dipole moments of each repeat unit (μ_i), are evaluated using a quantum mechanics procedure. Dipole moment ratios ($\text{D}{}_{\mathrm{x}}\text{=}\text{〈μ}{}^2\text{〉}\text{x}\text{μ}{}_{\mathrm{i}}{}^2\text{,}\text{x = number of repeat units}$) of homopolypeptides are calculated and extrapolated to x →?. With a few exceptions, D_? = 0.36 ± 0.1. Ten actual proteins and three enzymes are also studied; their dipole ratios (D_x′ =〈μ〉/x) range from 7.34 to 10.57 in 10^?59 C² m² (6.6–9.5 D²). Diffferences in the values of D_x′ are due mainly to the different contributions, μ_i, of the amino acid residues contained in each polymer, whereas the sequence of amino acids has a very minor effect.     

Model of singlet oxygen scavenging by α-tocopherol in biomembranes

Quenching of singlet molecular oxygen (${}^1\text{Δ}{}_{\mathrm{g}}\text{O}{}_2$) by α-tocopherol (I) involves the hydroxy function of the chromanol ring of I. In phosphatidylcholine (PC) uni- and multilamellar vesicles this structural element of I is localized at the interface polar headgroup/hydrophobic core. A dielectric constant of ? ～ 25 was determined for this special region of the PC bilayer. The ratio k_Q/k_R of rate constants of quenching processes (k_Q) and irreversible reactions (k_R) of I with ${}^1\text{Δ}{}_{\mathrm{g}}\text{O}{}_2$ increases with decreasing polarity of the solvent. In ethanolic solutions where ? = 25.5, k_Q/k_R is about 40. Extrapolation of these results to phospholipid bilayers suggests that at the nearness of the ester carbonyl oxygen of the PC fatty acid moieties, α-tocopherol can deactivate approximately 40 ${}^1\text{Δ}{}_{\mathrm{g}}\text{O}{}_2$ molecules before being destroyed. It is concluded that in vivo, one may expect to find a higher k_Q/k_R ratio if the chromanol ring of I hides within the more hydrophobic interiors of the membrane surface peptides.     

Respiration-driven proton translocation with nitrite and nitrous oxide in Paracoccus denitrificans

(1) $\text{H}$⁺/electron acceptor ratios have been determined with the oxidant pulse method for cells of denitrifying Paracoccus denitrificans oxidizing endogenous substrates during reduction of O₂, NO^?₂ or N₂O. Under optimal H⁺-translocation conditions, the ratios $\text{H}{}^{\mathrm{+}}\text{O}$, $\text{H}{}^{\mathrm{+}}\text{N}{}_2\text{O}$, $\text{H}{}^{\mathrm{+}}\text{NO}{}^{\mathrm{?}}{}_2$ for reduction to N₂ and $\text{H}{}^{\mathrm{+}}\text{NO}{}^{\mathrm{?}}{}_2$ for reduction to N₂O were 6.0–6.3, 4.02, 5.79 and 3.37, respectively. (2) With ascorbate/N,N,N′,N′-tetramethyl-p-phenylenediamine as exogenous substrate, addition of NO^?₂ or N₂O to an anaerobic cell suspension resulted in rapid alkalinization of the outer bulk medium. $\text{H}{}^{\mathrm{+}}\text{N}{}_2\text{O}$, $\text{H}{}^{\mathrm{+}}\text{NO}{}^{\mathrm{?}}{}_2$ for reduction to N₂ and $\text{H}{}^{\mathrm{+}}\text{NO}{}^{\mathrm{?}}{}_2$ for reduction to N₂O were ?0.84, ?2.33 and ?1.90, respectively. (3) The $\text{H}{}^{\mathrm{+}}\text{oxidant}$ ratios, mentioned in item 2, were not altered in the presence of $\text{valinomycin}\text{K}{}^{\mathrm{+}}$ and the triphenylmethylphosphonium cation. (4) A simplified scheme of electron transport to O₂, NO^?₂ and N₂O is presented which shows a periplasmic orientation of the nitrite reductase as well as the nitrous oxide reductase. Electrons destined for NO^?₂, N₂O or O₂ pass two H⁺-translocating sites. The $\text{H}{}^{\mathrm{+}}\text{electron}$ acceptor ratios predicted by this scheme are in good agreement with the experimental values.     

Study on models of single populations: an expansion of the logistic and exponential equations

Using the adsorption theory of chemical kinetics, a new equation concerning the growth of single populations is presented:

$\text{d}\text{X}\text{d}\text{t}\text{=}\text{μ}{}_{\mathrm{c}}\text{X(1 ?)}\text{X}\text{X}{}_{\mathrm{m}}\text{1?}\text{X}\text{X}{}_{\mathrm{m}}{}^{\mathrm{\prime }}$

or in its integral form:

$\text{ln}\text{X}\text{X}{}_{\mathrm{o}}\text{?}\text{ln}\text{X}{}_{\mathrm{m}}\text{?X}\text{X}{}_{\mathrm{m}}\text{?X}{}_{\mathrm{o}}\text{+}\text{X}{}_{\mathrm{m}}\text{X}{}^{\mathrm{\prime }}{}_{\mathrm{m}}\text{X}{}_{\mathrm{m}}\text{?X}\text{X}{}_{\mathrm{m}}\text{?X}{}_{\mathrm{o}}\text{=μ}{}_{\mathrm{c}}\text{(t?t}{}_{\mathrm{o}}\text{)}$

This equation attempts to explain the relationship between population increment and limiting resources. It can be reduced to either the logistic or exponential equation under two extreme conditions. The new equation has three parameters, X_m, X′_m and μ_c, each of which has ecological significance. $\text{X}{}_{\mathrm{m}}\text{X′}{}_{\mathrm{m}}$ concerns the efficiency of nutrient utilization by an organism. Its value is between zero and one. With ratios approaching unity, the efficiency is high; lower ratios indicate that population increment is quickly restricted by limiting resources. μ_c, is a velocity parameter lying between μ_e, (exponential growth) and μ_L (logistic growth), and is dependent on the value of $\text{solX}{}_{\mathrm{m}}\text{X′}{}_{\mathrm{m}}$. From μ_c we can predict the time course of population incremental velocity ($\text{d}\text{X}\text{d}\text{t}$), and can observe that it is not symmetrical, unlike that derived from the logistic equation. At $\text{X}{}_{\mathrm{m}}\text{X′}{}_{\mathrm{m}}\text{= 1}$ the maximum velocity of the population increment predicted from the new equation is twice that of the logistic equation.Population growth in nature seems to support the new equation rather than the logistic equation, and it can be successfully fitted by means of a least square method.     

Reactivity of chemically generated superoxide radical anion with peroxides as determined by competition kinetics

A steady-state competition system has been developed to investigate the reactions of the superoxide radical anion ($\text{O}{}_2{}^{\mathrm{<mtext>?</mtext>}}$) with various peroxides, including the so-called Haber-Weiss reaction. Potassium superoxide dissolved in an oxygen-free solution of DMSO containing 18-dicyclohexyl-6-crown, is the source of $\text{O}{}_2{}^{\mathrm{<mtext>?</mtext>}}$. High pressure liquid chromatography is used as an assay system for $\text{O}{}_2{}^{\mathrm{<mtext>?</mtext>}}$ reactivity, to detect and quantitate the yield of anthracene, formed as a major product in the reaction between $\text{O}{}_2{}^{\mathrm{<mtext>?</mtext>}}$ and 9,10-dihydroanthrancene. Decrease in anthracene yields, in the presence of peroxide, may be used to indicate a possible competing reaction between $\text{O}{}_2{}^{\mathrm{<mtext>?</mtext>}}$ and added peroxide. Complications involving peroxide-stimulated formation of anthraquinone derivatives are discussed. No evidence for a competing reaction between $\text{O}{}_2{}^{\mathrm{<mtext>?</mtext>}}$ and peroxide can be detected up to a 10-fold excess of peroxide over 9,10-dihydroanthracene.     

Time lag in a model of a biochemical reaction sequence with end product inhibition

The model studied is that of Goodwin, in which all but one of the reactions obey linear kinetics, while the end-product inhibits the first reaction in a term of Michaelis-Menten form, with Hill coefficient ?:

$\text{z=}\text{∫}\text{?∞}\text{t}\text{x}{}_{\mathrm{n}}\text{(T)G(t?T)dt}$

The results obtained relate to time lag in the off diagonal terms in these equations. The time lag is taken in distributed form, for example replacing x_n in the first equation by

$\text{dx}{}_{\mathrm{t}}\text{dt}\text{=k}{}_1\text{x}{}_{\mathrm{t??}}\text{1?b}{}_1\text{x}{}_{\mathrm{t}}\text{, i=2, …n.}$

For any non-negative G, time lag in these terms can not destabilize the equilibrium point in the case ? = 1. For a particular class of functions G one can obtain some insight into the consequences of time lag by relating the model to that with a longer loop of reactions. Then known results can be used for general ? and n.     

Preferential solvation of methylmercurated calf thymus deoxyribonucleic acid.

The changes in polymer-solvent interactions that occur when native calf thymus DNA is dialyzed against Na₂SO₄ solutions of a given ionic strength and buffer concentration but of varying concentrations in methylmercuric hydroxide have been investigated with the help of solution density measurements at 25 °C and pH 6.8–7.0. From measurements executed under equilibrium dialysis conditions at the three salt levels 5 mm, 0.05 m, and 0.5 m Na₂SO₄ (m refers to molality) and in the presence of 5 mm cacodylic acid buffer, the density increments $\text{(}\text{??}\text{?c}{}_2\text{)}{}_{\mathrm{\mu }}{}^0$ for native calf thymus DNA were determined as a function of CH₃HgOH concentration. $\text{(}\text{??}\text{?c}{}_2\text{)}{}_{\mathrm{\mu }}{}^0$ was found not to vary with organomercurial concentration, irrespective of the concentration of supporting electrolyte, until a certain CH₃HgOH concentration level has been reached, viz., , beyond which $\text{(}\text{??}\text{?c}{}_2\text{)}{}_{\mathrm{\mu }}{}^0$ increases strongly with increasing concentration of CH₃HgOH. As is shown by optical melting, $\text{(}\text{??}\text{?c}{}_2\text{)}{}_{\mathrm{\mu }}{}^0$ becomes a function of organomercurial concentration the moment DNA undergoes denaturation brought about by the complexing of CH₃HgOH with the various N-binding sites of the base residues in the DNA double helix.Polymer-solvent interactions, expressed in terms of preferential water interactions (“net hydration”) and preferential salt interactions (“salt solvation”), were derived from the $\text{(}\text{??}\text{?c}{}_2\text{)}{}_{\mathrm{\mu }}{}^0$ data in combination with data obtained on the preferential interaction of CH₃HgOH with denatured DNA and data on the partial specific volumes of all major solution components, gathered from density measurements on solutions with fixed concentrations of diffusible components. Evidence is presented which shows that denaturation in general decreases the net hydration while salt becomes preferentially associated with the polyelectrolyte. This process is further amplified by the interaction of CH₃HgOH with denatured DNA: Methylmercurated DNA alters the redistribution of diffusible components at dialysis equilibrium to such an extent that in a formal sense large amounts of water are rejected from the immediate vicinity of the polymer. The molecular implications of these findings are explored. The results are further discussed in the light of previous findings where the methylmercury-induced denaturation of DNA had been studied with the help of buoyant density measurements in a Cs₂SO₄ density gradient and by velocity-sedimentation in a variety of sulfate media.     

Oxidation of anionic nitroalkanes by flavoenzymes,and participation of superoxide anion in the catalysis

The reactivities of anionic nitroalkanes with 2-nitropropane dioxygenase of Hansenula mrakii, glucose oxidase of Aspergillus niger, and mammalian d-amino acid oxidase have been compared kinetically. 2-Nitropropane dioxygenase is 1200 and 4800 times more active with anionic 2-nitropropane than d-amino acid oxidase and glucose oxidase, respectively. The apparent K_m values for anionic 2-nitropropane are as follows: 2-nitropropane dioxygenase, 1.61 mm; glucose oxidase, 16.7 mm; and d-amino acid oxidase, 11.1 mm. Anionic 2-nitropropane undergoes an oxygenase reaction with 2-nitropropane dioxygenase and glucose oxidase, and an oxidase reaction with d-amino acid oxidase. In contrast, anionic nitroethane is oxidized through an oxygenase reaction by 2-nitropropane dioxygenase, and through an oxidase reaction by glucose oxidase. All nitroalkane oxidations by these three flavoenzymes are inhibited by Cu and Zn-superoxide dismutase of bovine blood, Mn-superoxide dismutases of bacilli, Fe-superoxide dismutase of Serratia marcescens, and other $\text{O}{}_2{}^{\mathrm{?}}$ scavengers such as cytochrome c and NADH, but are not affected by hydroxyl radical scavengers such as mannitol. None of the $\text{O}{}_2{}^{\mathrm{?}}$ scavengers tested affected the inherent substrate oxidation by glucose oxidase and d-amino acid oxidase. Furthermore, the generation of $\text{O}{}_2{}^{\mathrm{?}}$ in the oxidation of anionic 2-nitropropane by 2-nitropropane dioxygenase was revealed by ESR spectroscoy. The ESR spectrum of anionic 2-nitropropane plus 2-nitropropane dioxygenase shows signals at g₁ = 2.007 and g₁₁ = 2.051, which are characteristic of $\text{O}{}_2{}^{\mathrm{?}}$. The $\text{O}{}_2{}^{\mathrm{?}}$ generated is a catalytically essential intermediate in the oxidation of anionic nitroalkanes by the enzymes.     

Structure of the semiquinone form of flavodoxin from Clostridum MP. Extension of 1.8 A resolution and some comparisons with the oxidized state

As part of a series of comparisons of the structures of the three oxidation states of flavodoxin from Clostridium MP, phases for the semiquinono form were determined to 2.0 Å resolution by isomorphous replacement (〈m 〉 = 0.725). Subsequently, the structure was refined at 1.8 Å resolution by a combination of difference Fourier, real space and reciprocal space methods. After refining to an R of 0.194, we explored the conformation of the FMN binding site by real space refinement versus maps with Fourier coefficients of the form ($\text{2¦F}{}_{\mathrm{<mtext>o</mtext>}}\text{¦? ¦F}{}_{\mathrm{<mtext>c</mtext>}}\text{¦)}\text{exp}\text{(iα}{}_{\mathrm{<mtext>c</mtext>}}$). To minimize bias in the fitting, groups of atoms were systematically omitted from the structure factors used in computation of the ($\text{2¦F}{}_{\mathrm{<mtext>o</mtext>}}\text{? ¦F}{}_{\mathrm{<mtext>c</mtext>}}\text{¦}$) maps.One-electron reduction of oxidized flavodoxin is accompanied by several changes at the FMN binding site: the conformation of residues in the reverse bend formed by Met56-Gly57-Asp58-Glu59 differs in the crystal structures of the oxidized and semiquinone species; further, backbone atoms in residues 55 and 89 shift by more than 0.5 Å and the indole ring of Trp90 undergoes a significant displacement. The orientation of the peptide unit connecting Gly57 and Asp58 is consistent with the presence of a hydrogen bond between the carbonyl oxygen of Gly57 and the flavin N(5) in flavodoxin semiquinone. No equivalent bond is found in oxidized flavodoxin. In both the oxidized and semiquinone species of clostridial flavodoxin, the isoalloxazine ring is essentially planar : the bending angles about N(5)N(10) are ~2.5 ° for the semiquinone structure and ~0 ° in oxidized flavodoxin.The intensity changes resulting from the oxidized agsemiquinone conversion (R_I = 0.33) arise in part from changes in molecular packing. Intermolecular contacts, including neighbors of the prosthetic group, are altered in the repacking. Maps or models of the two oxidation states can be brought into approximate coincidence by a rigid body motion. The required transformation, determined for the isomorphous replacement maps by the method of Cox (1967), is equivalent to a screw motion with a rotation of 1.18 ° and a translation of ?0.34 Å. The molecular structures of oxidized and semiquinone flavodoxins have been compared after superposition of models with idealized co-ordinates and discrepancy indices Rox = 0.213 and Rsq = 0.200. The root-mean-square distance between 523 backbone atoms (excluding sequences 56 to 59 and 89 to 91) is 0.308 Å.