Structural Properties of Inverted Hexagonal Phase: A Hybrid Computational and Experimental Approach.

Inverted/reverse hexagonal (HII) phases are of special interest in several fields of research, including nanomedicine. We used molecular dynamics (MD) simulation to study HII systems composed of dioleoylphosphatidylethanolamine (DOPE) and palmitoyloleoylphosphatidylethanolamine (POPE) at several hydration levels and temperatures. The effect of the hydration level on several HII structural parameters, including deuterium order parameters, was investigated. We further used MD simulations to estimate the maximum hydrations of DOPE and POPE HII lattices at several given temperatures. Finally, the effect of acyl chain unsaturation degree on the HII structure was studied via comparing the DOPE with POPE HII systems. In addition to MD simulations, we used deuterium nuclear magnetic resonance (2H NMR) and small-angle X-ray scattering (SAXS) experiments to measure the DOPE acyl chain order parameters, lattice plane distances, and the water core radius in HII phase DOPE samples at several temperatures in the presence of excess water. Structural parameters calculated from MD simulations are in excellent agreement with the experimental data. Dehydration decreases the radius of the water core. An increase in hydration level slightly increased the deuterium order parameter of lipids acyl chains, whereas an increase in temperature decreased it. Lipid cylinders undulated along the cylinder axis as a function of hydration level. The maximum hydration levels of PE HII phases at different temperatures were successfully predicted by MD simulations based on a single experimental measurement for the lattice plane distance in the presence of excess water. An increase in temperature decreases the maximum hydration and consequently the radius of the water core and lattice plane distances. Finally, DOPE formed HII structures with a higher curvature compared to POPE, as expected. We propose a general protocol for constructing computational HII systems that correspond to the experimental systems. This protocol could be used to study HII systems composed of molecules other than the PE systems used here and to improve and validate force field parameters by using the target data in the HII phase.

Ionizable amino lipid interactions with POPC: implications for lipid nanoparticle function.

Lipid nanoparticles (LNPs) composed of ionizable cationic lipids are currently the leading systems for siRNA delivery in liver disease, with the major limitation of low siRNA release efficacy into the cytoplasm. Ionizable cationic lipids are known to be of critical importance in LNP structure and stability, siRNA entrapment, and endosomal disruption. However, their distribution inside the LNPs and their exact role in cytoplasmic delivery remain unclear. A recent study [Kulkarni et al., On the formation and morphology of lipid nanoparticles containing ionizable cationic lipids and siRNA, ACS Nano, 2018, 12(5), 4787-4795] on LNP-siRNA systems containing the ionizable lipid DLin-KC2-DMA (also known as KC2 with an apparent pKa of ca. 6.7) suggested that neutral KC2 segregates from other components and forms an amorphous oil droplet in the core of LNPs. In this paper, we present evidence supporting the model proposed by Kulkarni et al. We studied KC2 segregation in the presence of POPC using molecular dynamics simulation, deuterium NMR, SAXS, and cryo-TEM experiments, and found that neutral KC2 has a high tendency to separate from POPC dispersions. KC2 confinement, upon raising the pH during the formulation process, could result in rearrangement of the internal structure of LNPs. As interactions between cationic KC2 and anionic endosomal lipids are thought to be a key factor in cargo release, KC2 confinement inside the LNP may be responsible for the observed low release efficacy.

Computational and experimental approaches for investigating nanoparticle-based drug delivery systems.

Most therapeutic agents suffer from poor solubility, rapid clearance from the blood stream, a lack of targeting, and often poor translocation ability across cell membranes. Drug/gene delivery systems (DDSs) are capable of overcoming some of these barriers to enhance delivery of drugs to their right place of action, e.g. inside cancer cells. In this review, we focus on nanoparticles as DDSs. Complementary experimental and computational studies have enhanced our understanding of the mechanism of action of nanocarriers and their underlying interactions with drugs, biomembranes and other biological molecules. We review key biophysical aspects of DDSs and discuss how computer modeling can assist in rational design of DDSs with improved and optimized properties. We summarize commonly used experimental techniques for the study of DDSs. Then we review computational studies for several major categories of nanocarriers, including dendrimers and dendrons, polymer-, peptide-, nucleic acid-, lipid-, and carbon-based DDSs, and gold nanoparticles. This article is part of a Special Issue entitled: Membrane Proteins edited by J.C. Gumbart and Sergei Noskov.

Universal behavior of membranes with sterols.

Lanosterol is the biosynthetic precursor of cholesterol and ergosterol, sterols that predominate in the membranes of mammals and lower eukaryotes, respectively. These three sterols are structurally quite similar, yet their relative effects on membranes have been shown to differ. Here we study the effects of cholesterol, lanosterol, and ergosterol on 1-palmitoyl-2-oleoyl-sn-glycero-3-phosphatidylcholine lipid bilayers at room temperature. Micropipette aspiration is used to determine membrane material properties (area compressibility modulus), and information about lipid chain order (first moments) is obtained from deuterium nuclear magnetic resonance. We compare these results, along with data for membrane-bending rigidity, to explore the relationship between membrane hydrophobic thickness and elastic properties. Together, such diverse approaches demonstrate that membrane properties are affected to different degrees by these structurally distinct sterols, yet nonetheless exhibit universal behavior.

Hypothesis: the epidermal permeability barrier is a porous medium.

The stratum corneum is a complex biological material characterized by very low permeability to water and most other molecules. This material may be thought of as a 'porous medium' composed of impermeable and permeable regions. Intercellular lipid membranes in the stratum corneum are postulated to exist in a mixture of two phases: solid (i.e. impermeable) and liquid crystalline (permeable). The corneocyte envelope is classified as impermeable. Diffusion mechanisms of solutes within, across and between the intercellular lamellae are discussed. This model represents a refinement of previous theories about the physical structures responsible for the low observed permeability of the stratum corneum.

CTP:phosphocholine cytidylyltransferase activation by oxidized phosphatidylcholines correlates with a decrease in lipid order: a 2H NMR analysis.

The enzyme CTP:phosphocholine cytidylyltransferase (CT) binds reversibly to membranes and is active only in its membrane-bound form. Membrane lipid composition influences the equilibrium between its soluble and membrane-bound forms. Whereas the enzyme is not activated by phosphatidylcholine (PC) vesicles, it is activated by PC vesicles that have been oxidized with HClO(4) [Drobnies, A. E., et al. (1998) Biochim. Biophys. Acta 1393, 90-98]. Here we explore the mechanism of activation of CT by a PC oxidized with lipoxidase. Multilamellar vesicles (MLVs) containing > or =5 mol % oxidized 1-palmitoyl-2-arachidonoylPC (PAPC) progressively activated the enzyme, which was fully activated by 25 mol % oxidized PC. The effect of oxidized PAPC on lipid order was investigated by (2)H NMR, using MLVs containing PAPC perdeuterated on the palmitoyl chain. Spectral depaking generated order parameter profiles along the sn-1 chain. The average order parameter (S(CD)) in the plateau region at 37 degrees C decreased from 0.18 to 0.15 with increasing percent of oxidized PAPC (0-25%). The change in S(CD) was even greater near the end of the palmitoyl chain. CT activation was inversely related to lipid order. The major component of the lipoxidase-oxidized PAPC was purified and characterized by mass spectrometry and NMR. This component, 1-palmitoyl-2-(11,15-dihydroxy)eicosatrienoylPC (dihydroxyPAPC), incorporated into PAPC MLVs, also stimulated CT activity and reduced the lipid order parameter. Both effects were reversed by egg sphingomyelin. We propose that CT activation by oxidized PAPC is mediated by effects on lipid packing perturbations. This is the first study to report the effects of a purified oxidized PC on the orientational order along the acyl chain and to correlate the lipid disordering of the oxidized PC with the activation of a membrane-associated regulatory enzyme.

A model membrane approach to the epidermal permeability barrier: an X-ray diffraction study.

The permeability of mammalian skin is determined in large part by lamellar lipid domains packed between cells of the upper layer of the epidermis, the stratum comeum. Although these lamellae have features in common with typical biological membranes, they differ in having a lipid population composed mainly of ceramides, cholesterol, and free fatty acids. In our initial studies of the relationship between lipid composition and phase behavior in this unusual system, we used deuterium NMR [Kitson et al. (1994) Biochemistry 33, 6707-6715] to examine aqueous dispersions of nonhydroxylated bovine brain ceramide, cholesterol, and perdeuterated palmitic acid, and found complex phase behavior as a function of temperature and pH, whereas analogous dispersions in which sphingomyelin replaced ceramide resulted in spectra consistent with a fluid lamellar phase under the same conditions. To extend these observations, we examined the same dispersions at pH 5.2 by means of X-ray diffraction. The significant findings are as follows: (1) the ceramide dispersions form complex crystalline phases between room temperature and about 40 degrees C; (2) the majority of the crystalline cholesterol is not in a separate phase; and (3) the analogous sphingomyelin dispersions form a fluid lamellar phase under the same conditions. We conclude that ceramides, even in the presence of considerable mole fractions of cholesterol, can form crystalline lamellar structures. We suggest that the existence of such structures in stratum corneum may be important in the function of the epidermal permeability barrier, and that the interaction between ceramide and cholesterol in other biological membranes may result in regions having unique physical properties.

Time and distance scales of membrane domain organization.

Time and distance scales in membranes are discussed in relation to the inference of domain structure from spectroscopic measurements. Each type of spectroscopy has a natural time scale set by the magnitude of the interactions that determine the spectral width. For fluid membranes, the lateral diffusion of the lipid molecules then implies an associated distance scale over which the measurements are averaged. These factors have an influence on the interpretation of spectroscopic measurements and on whether or not the spectroscopic technique is capable of distinguishing neighbouring domains from each other. NMR occupies a special place among spectroscopies because its time scale is so long. Some examples are given of the conceptual role of spectroscopic time and distance scales with regard to the inference of domains in membranes from NMR or other spectroscopic studies, or the apparent failure to detect domains believed to be present. These examples include mixtures of phospholipids with cholesterol and/or protein molecules. In addition to time scales being set by line width and line shape considerations, the study of relaxation times within a given spectroscopy carries its own characteristic insights into motional correlation times.

Models of stratum corneum intercellular membranes: 2H NMR of macroscopically oriented multilayers.

Deuterium NMR was used to characterize model membrane systems approximating the composition of the intercellular lipid lamellae of mammalian stratum corneum (SC). The SC models, equimolar mixtures of ceramide:cholesterol:palmitic acid (CER:CHOL:PA) at pH 5.2, were contrasted with the sphingomyelin:CHOL:PA (SPM:CHOL:PA) system, where the SPM differs from the CER only in the presence of a phosphocholine headgroup. The lipids were prepared both as oriented samples and as multilamellar dispersions, and contained either perdeuterated palmitic acid (PA-d31) or [2,2,3,4,6-2H5]CHOL (CHOL-d5). SPM:CHOL:PA-d31 formed liquid-ordered membranes over a wide range of temperatures, with a maximum order parameter of approximately 0.4 at 50 degrees C for positions C3-C10 (the plateau region). The quadrupolar splitting at C2 was significantly smaller, suggesting an orientational change at this position, possibly because of hydrogen bonding with water and/or other surface components. A comparison of the longitudinal relaxation times obtained at theta = 0 degrees and 90 degrees (where theta is the angle between the normal to the glass plates and the magnetic field) revealed a significant T1Z anisotropy for all positions. In contrast to the behavior observed with the SPM system, lipid mixtures containing CER exhibited a complex polymorphism. Between 20 and 50 degrees C, a significant portion of the entire membrane (as monitored by both PA-d31 and CHOL-d5) was found to exist as a solid phase, with the remainder either a gel or liquid-ordered phase. The proportion of solid decreased as the temperature was increased and disappeared entirely above 50 degrees C. Between 50 and 70 degrees C, the membrane underwent a liquid-ordered to isotropic phase transition. These transitions were reversible but displayed considerable hysteresis, especially the conversion from a fluid phase to solid. The order profiles, relaxation behavior, and angular dependence of these parameters suggest strongly that both the liquid-ordered CER- and SPM-membranes are bilayers. The unusual phase behavior observed for the CER-system, particularly the observation of solid-phase lipid at physiological temperatures, may provide insight into the functioning of the permeability barrier of stratum corneum.

A model membrane approach to the epidermal permeability barrier.

The permeability barrier of mammalian skin is found in unusual intercellular domains in the upper layers of the epidermis, and is composed mainly of three lipid classes: ceramide, cholesterol, and free fatty acid. These are organized as lamellae, but the details of lipid organization are not precisely known. To examine the relationship between lipid composition and phase behavior, aqueous dispersions of bovine brain ceramide, cholesterol, and perdeuterated palmitic acid were examined by 2H NMR and compared to analogous systems in which sphingomyelin replaced ceramide. The sphingomyelin systems give rise as expected to a stable fluid lamellar signal over the temperature range 20-75 degrees C and pH 5.2-7.4, whereas the ceramide dispersions show complex polymorphism as a function of both temperature and pH. Prominent features of the ceramide dispersions containing cholesterol are phase coexistence and the presence of a "solid" phase in which molecular motion is more inhibited than in a classical phospholipid gel phase: T1z measurements indicate that lateral diffusion of the palmitic acid probe effectively does not occur. In the absence of cholesterol, a fluid lamellar signal is not observed, but the appearance of a "solid" signal is also influenced by the pH. In the presence of cholesterol, a fluid lamellar signal is present at 50 degrees C, and the 2H NMR order parameter profile is very similar to that derived from the analogous sphingomyelin dispersions.(ABSTRACT TRUNCATED AT 250 WORDS)

Models of stratum corneum intercellular membranes: the sphingolipid headgroup is a determinant of phase behavior in mixed lipid dispersions.

During formation of the intercellular membranes of mammalian stratum corneum, sphingomyelin and glucosylceramide are converted enzymatically to ceramide. To model in isolation the possible effect of such a lipid modification on the phase behavior of the ensemble, we used proton and deuterium nuclear magnetic resonance to compare an equimolar dispersion of bovine brain sphingomyelin, cholesterol, and perdeuterated palmitic acid (at pH 6.2), with an equivalent dispersion in which bovine brain ceramide was substituted for sphingomyelin. While the sphingomyelin dispersions remain in a homogeneous fluid lamellar phase from 20-75 degrees C under these conditions, those containing ceramide display complex polymorphism.

The influence of cholesterol 3-sulphate on phase behaviour and hydrocarbon order in model membrane systems.

Cholesterol 3-sulphate (CS) is a component of the intercellular lipid found in the uppermost layer of human epidermis (the 'stratum corneum') and is thought to play an important role in tissue cohesion. In this investigation we have compared the influence of cholesterol (CH) and CS on the gel-to-liquid crystalline phase behaviour, the polymorphic phase behaviour, and the hydrocarbon order profile in selected model membranes. It is shown that in sphingomyelin (SPM) systems, the presence of equimolar amounts of either CH or CS eliminates the gel-to-liquid crystalline transition as detected by calorimetry. Similarly, in 1-palmitoyl,2-oleoyl-phosphatidylethanolamine (POPE) dispersions containing a perdeuterated palmitoyl chain (POPE-d31), it is shown that both CH and CS exert an ordering effect as determined by 2H-NMR techniques, however, CS is less potent at temperatures both above and below that of the main transition for the native phospholipid. Alternatively, in mixed systems containing dioleoylphosphatidylethanolamine (DOPE) and SPM (DOPE/SPM, 6:1 mol/mol) CH promotes thermotropic L alpha-->HII phase transitions, whereas CS stabilizes the bilayer organization. These bilayer stabilization effects can be diminished by addition of Ca2+. These effects are consistent with a larger area per molecule of CS as compared to CH, presumably related to the presence of the negatively charged sulphate moiety of CS.

Phosphatidylcholine: cholesterol phase diagrams.

Two mono-cis-unsaturated phosphatidylcholine (PC) lipid molecules, having very different gel-liquid crystalline phase transition temperatures as a consequence of the relative positions of the double bond, exhibit PC:cholesterol phase diagrams that are very similar to each other and to that obtained previously for a fully saturated PC:cholesterol mixture (Vist, M. R., and J. H. Davis. 1990. Biochemistry 29:451-464). This leads to the conjecture that PC:cholesterol membrane phase diagrams have a universal form which is relatively independent of the precise chemical structure of the PC molecule. One feature of this phase diagram is the observation over a wide temperature range of a fluid but highly conformationally ordered phase at bilayer concentrations of more than approximately 25 mol% cholesterol. This ;liquid ordered' phase is postulated to be the relevant physical state for many biological membranes, such as the plasma membrane of eukaryotic cells, that contain substantial amounts of cholesterol or equivalent sterols.

Deuterium nuclear magnetic resonance study of the interaction of branched chain compounds (phytanic acid, phytol) with a phospholipid model membrane.

Deuterium nuclear magnetic resonance (2H-NMR) spectra have been determined for 50 wt% aqueous dispersions of 1-palmitoyl(stearoyl)-2-[2H31]palmitoyl-sn-glycero-3-phosphocho lin e (PC-d31) containing 20 mol% of the isoprenoid compounds phytol or phytanic acid over the temperature range -5-55 degrees C. Concentration effects of the isoprenoid compounds are also reported. First moments (M1) and order parameters were calculated from the spectra. 20 Mol% of either branched chain compound causes an approximate 9% increase in the mean order parameter SCD. Significant effects are seen on the PC-d31 phase behavior. 20 Mol% of either branched chain compound causes the gel to liquid crystalline onset temperature (Ts) to drop to 28 degrees C from 38 degrees C for PC-d31 alone, as seen from the temperature dependent M1 values. The melting range ([Tl--Ts]) is congruent to 1.5 degrees C for PC-d31 and congruent to 11 degrees C for PC-d31 containing 20 mol% of the branched chain compounds. This is in direct contrast to their straight chain analogues, hexadecanol and palmitic acid, which have been shown to elevate the phase transition temperature. The isoprenoid compounds cause significant disruption of the gel phase, forcing nearest neighbor phospholipid chains apart. Transverse relaxation times (T2e, the time constant for decay of the quandrupolar echo) have been determined over the temperature range -5-50 degrees C. Possible explanation for the effect of the isoprenoid compounds on the dynamic structure of phospholipids in the bilayer are proffered.

Phospholipid/cholesterol membranes containing n-alkanols: a 2H-NMR study.

The influences of 1-octanol and 1-decanol on aqueous multilamellar dispersions of 1-hexadecanoyl(octadecanoyl)-2-[2H31]hexadecanoyl-sn-glycero -3-phosphorylcholine (PC-d31)/cholesterol (3:1) have been examined using 2H-NMR. The gel to liquid crystalline phase transition of the PC-d31/cholesterol dispersion is modulated by the addition of 1-alkanol, which reduces the onset temperature and increases the width of the transition. 1-Octanol has a greater effect on the transition onset and completion temperatures than does 1-decanol, as determined from analysis of the temperature-dependent 2H-NMR spectra. 2H-NMR C-2H bond order parameters as a function of phospholipid acyl chain position at 60 degrees C, where all dispersions are fully liquid crystalline, have been calculated from the depaked spectra. 1-Decanol reduces the phospholipid order by only 2%. This can be attributed to the lower effective cholesterol concentration in the 1-alkanol/PC-d31/cholesterol dispersions. 1-Octanol, however, reduces the phospholipid order by 10% at 60 degrees C. Correlations between the effects of 1-octanol and 1-decanol on phospholipid order parameters and phospholipid/cholesterol phase transitions are discussed.

A deuterium NMR study of labelled n-alkanol anesthetics in a model membrane.

The 2H-NMR spectra of 50 wt.% aqueous multilamellar dispersions of dipalmitoylphosphatidylcholine (DPPC) containing either selectively deuterated 1-decanol (25 mol%) or [2H17]-1-octanol (25 mol%) have been measured as a function of temperature. Both alkanols are potent anesthetics. A detailed carbon-deuterium bond order parameter profile of 1-decanol in liquid crystalline phospholipid dispersions at 50 degrees C was determined from the quadrupolar splittings of 1-decanols deuterated at eight different positions. A maximum order parameter SCD = 0.20 was obtained for [5,5-2H2]-1-decanol, with labels at both ends of the 1-decanol exhibiting reduced order parameters. Explanations for the reduced order towards the hydroxyl group of 1-decanol are discussed in terms of either increased amplitudes of motion or geometric effects due to hydrogen bonding. By comparing the order parameter profile of sn-2 chain deuterated phosphatidylcholine dispersions containing 25 mol% 1-decanol (J.L. Thewalt, S.R. Wassall, H. Gorrissen and R.J. Cushley, Biochim. Biophys. Acta, 817 (1985) 355) with the profile of deuterated 1-decanol in DPPC, we estimate that decanol is approximately parallel to the C-3 to C-13 region of the phosphatidylcholine's sn-2 chain. Variation of the spectral moments M1 with temperature indicates that both 1-decanol and 1-octanol are sensitive to the packing of the lipid in which they are dissolved. Below the phase transition temperature, the 2H-NMR spectra of either 1-decanol (selectively deuterated) or 1-octanol (perdeuterated) are broad powder patterns, characteristic of axially symmetric rotation about the alcohol's long axis. This is in contrast to the 2H-NMR spectra obtained from deuterated phosphatidylcholine under similar conditions, which implies that the phospholipid acyl chain conformations are more restricted than those of the alcohol at these temperatures. From the M1 behavior of the various alkanol chain segments with temperature, the gel to liquid crystalline phase transition is seen to initiate in the middle of the DPPC/1-alkanol bilayer.

Deuterium NMR study of the interaction of alpha-tocopherol with a phospholipid model membrane.

The effects of 5, 10, and 20 mol % incorporation of alpha-tocopherol (vitamin E) on 50 wt % aqueous multilamellar dispersions of sn-2-substituted [2H31]palmitoylphosphatidylcholine (PC-d31), a saturated, deuterated phospholipid prepared from egg lysophosphatidylcholine, have been studied by deuterium nuclear magnetic resonance (2H NMR) and differential scanning calorimetry (DSC). Moment analysis of the 2H NMR spectra as a function of temperature and DSC heating curves demonstrate that the main gel to liquid-crystalline phase transition is progressively broadened and its onset temperature lowered by increasing concentrations of alpha-tocopherol. Below the transition temperature (40 degrees C) for PC-d31 bilayers, the 2H NMR spectra indicate that acyl chain motion is increased by addition of alpha-tocopherol and that this effect extends to lower temperatures with higher alpha-tocopherol content. Above the transition, average carbon-deuterium bond order parameters calculated from the first spectral moment establish that alpha-tocopherol increases acyl chain ordering within the PC-d31 bilayer by as much as 17% at 20 mol % incorporation. Profiles of order parameter vs. chain position, constructed from 2H NMR spectra following application of the depaking technique, show that despite higher order the general form of the profile is not significantly altered by alpha-tocopherol.

Deuterium NMR study of the effect of n-alkanol anesthetics on a model membrane system.

The effects of 25 mol% incorporation of two anesthetics, 1-octanol and 1-decanol, on a deuterated, saturated phospholipid in 50 wt% aqueous multilamellar dispersions have been studied by 2H-NMR spectroscopy and differential scanning calorimetry (DSC). The phospholipid used is sn-2 substituted '[2H31]-palmitoylphosphatidylcholine' (PC-d31). DSC thermograms demonstrate that PC-d31 has phase behavior qualitatively similar to that of dipalmitoylphosphatidylcholine, with a pretransition at 31 degrees C and a main gel to liquid crystalline transition at 40 degrees C. Analysis of the temperature-dependent 2H-NMR spectra in terms of the first moment, which is extremely sensitive to the phospholipid phase, shows that 1-octanol and 1-decanol depress and broaden the main transition. This is confirmed by DSC, which shows that the pretransition is eliminated by the 1-alkanols. The carbon-deuterium bond order of the phospholipid deuterated acyl chains, in the presence and absence of 1-alkanols, was determined from deuterium quadrupolar splittings. Spectra were analyzed using the depaking technique. A 1-alkanol concentration of 25 mol% had no significant effect on the profile of the carbon-deuterium bond order parameter SCD along the phospholipid acyl chain at 50 degrees C. Thus, it appears that the liquid crystalline phase is able to accommodate large amounts of linear anesthetic molecules without substantial effect on molecular ordering within the membrane bilayer. Preliminary results show that the transverse relaxation rates of the acyl chain segments are significantly decreased by the presence of 1-octanol or 1-decanol.

An electron spin resonance spectral study of the dynamics of spin-labelled fatty acids bound to oxidoreductases.

Electron spin resonance (ESR) spectra have been recorded for 5-doxylstearate (I) and 16-doxylstearate (II) in the presence of bacterial luciferase and soybean lipoxygenase. The acids are inhibitors of the enzymes (Kd approximately 2 x 10(-5) M for II bound to luciferase). Using theoretical computer simulations of the ESR line shapes, an effective correlation time of tau eff approximately 3.7 x 10(-9) +/- 0.5 x 10(-9) s is found for the motion of spin label I bound to luciferase. Concentration-dependent sedimentation velocity experiments indicate luciferase is anisotropic and, assuming a prolate ellipsoid of axial ratio less than or equal to 9, a correlation time of tau a approximately 7.7 x 10(-9) s is predicted for rotation about the luciferase long axis. The tightly bound spin-labelled inhibitors, therefore, are proposed to give rise to ESR spectra chiefly reflecting luciferase long axis rotation. The ESR spectra of I and II, bound to lipoxygenase and to luciferase, appear similar.