Reevaluation of the wobbling dynamics of diphenylhexatriene in phosphatidylcholine and cholesterol/phosphatidylcholine membranes

The dynamics of lipid hydrocarbon chains in phosphatidylcholine (dimyristoyl- or dipalmitoyl-) and cholesterol/dimyristoylphosphatidylcholine membranes were investigated by nanosecond time-resolved fluorescence depolarization measurements on a lipophilic fluorescent probe 1,6-diphenyl-1,3,5-hexatriene embedded in the membranes. In the pure lipid membranes, both the range (amplitude) and the rate of the wobbling motion of the probe increased sigmoidally with temperature reflecting the thermotropic phase transition of the lipid. The rise in the rate slightly preceded the increase in the range, suggesting that the fluctuation of lipid chains is activated to a high level before the ordered array of chains melt into the liquid-crystalline phase. Above the transition temperature, incorporation of cholesterol resulted in a dramatic decrease in the range of wobbling motion while the rate remained high. Below the transition, on the other hand, cholesterol had little effect on the range, whereas the rate was greatly increased. These effects of cholesterol are remarkably similar to the effects of cytochrome oxidase on lipid chain dynamics (Kinosita, K., Jr., Kawato, S., Ikegami, A., Yoshida, S. and Orii, Y. (1981) Biochim. Biophys. Acta 647, 7–17).     

Rotational diffusion of a steroid molecule in phosphatidylcholine-cholesterol membranes: fluid-phase microimmiscibility in unsaturated phosphatidylcholine-cholesterol membranes

Rotational diffusion of androstane spin-label (ASL), a sterol analogue, in various phosphatidylcholine (PC)-cholesterol membranes was systematically studied by computer simulation of steady-state ESR spectra as a function of the chain length and unsaturation of the alkyl chains, cholesterol mole fraction, and temperature for a better understanding of phospholipid-cholesterol and cholesterol-cholesterol interactions. Special attention was paid to the differences in the cholesterol effects on ASL motion between saturated and unsaturated PC membranes. ASL motion in the membrane was treated as Brownian rotational diffusion of a rigid rod within the confines of a cone imposed by the membrane environment. The wobbling rotational diffusion constant of the long axis, its activation energy, and the cone angle of the confines were obtained for various PC-cholesterol membranes in the liquid-crystalline phase. Cholesterol decreases both the cone angle and the wobbling rotational diffusion constant for ASL in all PC membranes studied in this work. The cholesterol effects are the largest in DMPC membranes. An increase of cholesterol mole fraction from 0 to 30% decreases the rotational diffusion constant by a factor of 9-15 (depending on temperature) and the cone angle by a factor of about 2. In dioleoyl-PC membranes, addition of 30 mol % cholesterol reduces both the rotational diffusion constant and the cone angle of ASL by factors of approximately 2.5 and approximately 1.3, respectively, while it was previously found to cause only modest effects on the motional freedom of phospholipid analogue spin probes [Kusumi, A., Subczynski, W. K., Pasenkiewicz-Gierula, M., Hyde, J. S., & Merkle, H. (1986) Biochim. Biophys. Acta 854, 307-317]. It is proposed that fluid-phase microimmiscibility takes place in dioleoyl-PC-cholesterol membranes at physiological temperatures, which induces cholesterol-rich domains in the membrane, partially due to the steric nonconformability between the rigid fused-ring structure of cholesterol and the 30 degrees bend at the C9-C10 cis double bond of the alkyl chains of dioleoyl-PC. The mechanism by which cholesterol influences the lipid dynamics in the membrane is different between saturated and unsaturated PC membranes.     

Imipramine and lipid phase transition in inner mitochondrial membrane

As ascertained by freeze-fracture electron microscopy, imipramine prevents lateral phase separation from taking place in inner mitochondrial membranes at sub-zero temperatures. Electron spin resonance (ESR) measurements performed on mitochondrial membranes labeled with the N-oxyl-4′,4′-dimethyloxazolidine derivative of 16-ketostearic acid, show that the spin probe motion is markedly inhibited below 0°C and that 5 mM imipramine attenuates the temperature effect. These results are explained by supposing that imipramine is able to decrease the transition temperature of the inner mitochondrial membrane lipids as it does for simple lipid systems.     

A new analysis method for the membrane viscosity from steady-state fluorescence depolarization

The absolute value of the viscosity in membrane lipid bilayers, which is different from the microviscosity advocated by Shinitzky, could be calculated from steady-state fluorescence depolarization of a hydrocarbon fluorophore, 1,6-diphenyl-1,3,5-hexatriene (DPH). This method was based on the theory of time-resolved fluorescence anisotropy and empirical relationships between fluorescence life time and the anisotropy parameters such as half cone angle in wobbling motion and wobbling diffusion rate of the fluorescent probe. Obtained viscosity values of various membranes from this method were consistent with those from time resolved method within experimental error.     

Rotational diffusion of a steroid molecule in phosphatidylcholine membranes: effects of alkyl chain length, unsaturation, and cholesterol as studied by a spin-label method

Rotational diffusion of cholestane spin-label (CSL), a sterol analogue, in various phosphatidylcholine (PC)-cholesterol membranes was systematically studied by computer simulation of steady-state ESR spectra as a function of chain length and unsaturation of alkyl chains, cholesterol mole fraction, and temperature for better understanding of phospholipid-cholesterol and cholesterol-cholesterol interactions. CSL motion in the membrane was treated as Brownian rotational diffusion of a rigid rod within the confines of a cone imposed by the membrane environment. The wobbling rotational diffusion constant of the long axis, its activation energy, and the cone angle of the confines are obtained for various membranes in the liquid-crystalline phase. The wobbling diffusion constant decreases in the order dilauroyl-PC greater than dimyristoyl-PC greater than dioleoyl-PC approximately dipalmitoyl-PC greater than distearoyl-PC greater than dioleoyl-PC/cholesterol = 3/1 greater than dioleoyl-PC/cholesterol = 1/1 membranes. Activation energy for the wobbling diffusion of the long axis of CSL is strongly dependent on alkyl chain length, unsaturation, and cholesterol mole fraction. It decreases with decrease in alkyl chain length and by introduction of unsaturation in the alkyl chains. In dioleoylphosphatidylcholine membranes, activation energy decreases by a factor of approximately 3 in the presence of 50 mol % cholesterol. Activation energy for wobbling diffusion of CSL in phosphatidylcholine membranes is smaller than the activation energy for translational diffusion of a phospholipid. The former is more dependent on alkyl chain length and unsaturation.(ABSTRACT TRUNCATED AT 250 WORDS)     

Nanosecond time-resolved fluorescence investigations of temperature-induced conformational changes in cytochrome oxidase in phosphatidylcholine vesicles and solubilized systems

Intrinsic and lipid phase transition-induced conformational changes in cytochrome oxidase in phosphatidylcholine vesicle and solubilized systems were examined by the fluorescence lifetime of N-(1-anilinonaphthyl-4)-maleimide conjugated with the enzyme. The time-dependent fluorescence intensity of N-(1-anilinonaphthyl-4)-maleimide attached to cytochrome oxidase was described as a triple exponential decay. Both the intrinsic and lipid phase transition-induced conformational changes were detectable in plots of the average lifetime against temperature. In most cases a peak occurred at the temperature of the conformational change. The time-dependent emission anisotropy showed that N-(1-anilinonaphthyl-4)-maleimide embedded in cytochrome oxidase in phosphatidylcholine vesicles underwent a rapid restricted wobbling within a cone. The half-angle of the cone was around 30 degrees for cytochrome oxidase in dimyristoyl phosphatidylcholine vesicles.     

A fluorescence polarization study of calcium and phase behaviour in synaptosomal lipids

Steady-state fluorescence polarization of the fluorescent probe 1,6-diphenyl-1,3,5-hexatriene reported temperature-dependent lipid order in l-α-dimyristoylphosphatidylcholine, egg phosphatidylcholine and synaptosomal membranes. No change in lipid order was detected after depolarization of synaptosomes by veratridine (150 μM) even in the presence of 2 mM CaCl₂. However, Ca²⁺ reduced the mobility of a second probe, dansylated dipalmitoylphosphatidylethanolamine, in dispersions of synaptosomal lipids. This effect, which was seen at a Ca²⁺/total phospholipid ratio as low as 0.1, may represent an interaction between the cation and negatively-charged phospholipids. It is suggested that Ca²⁺ promotes a phase separation in synaptosomal lipids which may be relevant to the process of neurotransmitter release.     

Lipid lateral diffusion in oriented lipid/D2O multilayers by pulsed NMR

The temperature and hydration dependences of lipid lateral diffusion in model membrane/D₂O multilayers of dipalmitoyl (DPL), dilauryl (DLL) and egg yolk (EYPC) lecithins were measured using pulsed gradient proton nuclear magnetic resonance (NMR) spin echo techniques. Oriented samples were used to minimize anisotropic dipolar interactions and permit formation of a spin echo. Significantly lipid lateral diffusion is hydration dependent over the range studied (15–40% D₂O w/w), varying in DPL over this range for example by a factor of 2. For the saturated lipids at the same hydration and temperature, diffusion decreases monotonically as the chain length increases. The results tend to be larger, by factors of 2–5, than the earlier electron spin resonance (ESR) spin label results, the differences being attributable in part to the differences in hydration and to the absence of probe effects in this work. The addition of cholesterol (28.6 mol%) decreases diffusion of the lipids. Comparisons with other methods of lateral diffusion measurements are made.     

Fluorescence depolarization study of lamellar liquid crystalline to inverted cylindrical micellar phase transition of phosphatidylethanolamine.

The orientational order and rotational dynamics of 2-[3-(diphenyl-hexatrienyl) propanoyl]-3-palmitoyl-L-alpha- phosphatidylcholine (DPH-PC) embedded in dioleoylphosphatidyl-ethanolamine (DOPE) were studied by fluorescence depolarization technique. Upon increasing the temperature, the calculated wobbling diffusion constant D perpendicular of the fluorescent probe was found to decrease at the lamellar (L alpha) to inverted cylindrical (H II) phase transition (10 degrees C). This suggested that the increased gauche rotamers of the alkene chains in the HII phase imposes a constraint in the wobbling motion of the fluorophore. The calculated ratio of order parameter in the L alpha phase to that in the HII phase was 1.7 and different from the theoretical value of 2.0 as predicted from the change in packing symmetry. This result can be explained by a slightly higher local order parameter of the fluorophore or by the fast rotational diffusion motion of the fluorophore around the symmetry axis of the cylindrical tubes in the HII phase.     

Dynamic structure of lipid bilayers studied by nanosecond fluorescence techniques

Molecular motions in liposomes of dipalmitoyl-phosphatidylcholine (DPPC) were studied by nanosecond fluorescence techniques. As a fluorescent probe for the hydrocarbon region, 1,6-diphenyl-1,3,5-hexatriene (DPH) was used. Time courses of fluorescence intensity IT(t) and emission anisotropy r(t) of DPH embedded in DPPC liposomes were measured at various temperatures. The value of the fluorescence lifetime tau obtained froma single exponential decay of IT(t) was somewhat higher than that in liquid paraffin below the transition temperature Tt and decreased above Tt. Higher values of tau below Tt indicate the almost complete hydrophobic environment. The decay curves of r(t) were separated into two phases: an initial fast decreasing phase of the order of one nanosecond and a second almost constant phase. This indicates that the orientational motion of DPH in the hydrocarbon region is described by a wobbling diffusion restricted by a certain anisotropic potential. The results were analyzed on the model that the wobbling diffusion is confined in a cone with a uniform diffusion constant. Though temperature dependence of the cone angle was sigmoidal, that of the wobbling diffusion constant was like the exponential function. The change in the cone angle at Tt was sharper than that in the wobbling diffusion constant at Tt. Estimated values of the viscosity in the cone were an order of magnitude smaller than the values of "microviscosity" which were estimated from the steady-state emission anisotropy without considering the restrictions on the rotational motion.     

ESR spin-label studies of lipid-protein interactions in membranes

Lipid spin labels have been used to study lipid-protein interactions in bovine and frog rod outer segment disc membranes, in (Na+, K+)-ATPase membranes from shark rectal gland, and in yeast cytochrome oxidase-dimyristoyl phosphatidylcholine complexes. These systems all display a two component ESR spectrum from 14-doxyl lipid spin-labels. One component corresponds to the normal fluid bilayer lipids. The second component has a greater degree of motional restriction and arises from lipids interacting with the protein. For the phosphatidylcholine spin label there are effectively 55 +/- 5 lipids/200,000-dalton cytochrome oxidase, 58 +/- 4 mol lipid/265,000 dalton (Na+, K+)-ATPase, and 24 +/- 3 and 22 +/- 2 mol lipid/37,000 dalton rhodopsin for the bovine and frog preparations, respectively. These values correlate roughly with the intramembrane protein perimeter and scale with the square root of the molecular weight of the protein. For cytochrome oxidase the motionally restricted component bears a fixed stoichiometry to the protein at high lipid:protein ratios, and is reduced at low lipid:protein ratios to an extent which can be quantitatively accounted for by random protein-protein contacts. Experiments with spin labels of different headgroups indicate a marked selectivity of cytochrome oxidase and the (Na+, K+)-ATPase for stearic acid and for cardiolipin, relative to phosphatidylcholine. The motionally restricted component from the cardiolipin spin label is 80% greater than from the phosphatidylcholine spin label for cytochrome oxidase (at lipid:protein = 90.1), and 160% greater for the (Na+, K+)-ATPase. The corresponding increases for the stearic acid label are 20% for cytochrome oxidase and 40% for (Na+, K+)-ATPase. The effective association constant for cardiolipin is approximately 4.5 times greater than for phosphatidylcholine, and that for stearic acid is 1.5 times greater, in both systems. Almost no specificity is found in the interaction of spin-labeled lipids (including cardiolipin) with rhodopsin in the rod outer segment disc membrane. The linewidths of the fluid spin-label component in bovine rod outer segment membranes are consistently higher than those in bilayers of the extracted membrane lipids and provide valuable information on the rate of exchange between the two lipid components, which is suggested to be in the range of 10(6)-10(7) s-1.     

The molecular reorganization of lipid bilayers by osmium tetroxide. A spin-label study of orientation and restricted y-axis anisotropic motion in model membrane systems

Phospholipid dispersions spontaneously form oriented lamellar multilayers when dried onto glass slides. These oriented multilayers form useful model systems for studying the molecular dynamics of lipid bilayers. In order to examine the effects of osmium tetroxide on the orientation and motion of hydrocarbon chains in lipid bilayers, lecithin multilayers containing the spin label 3-doxyl-5α-cholestane (the 4′,4′-dimethyloxazolidine-N-oxyl derivative of 5α-cholestan-3-one) were prepared and examined by electron spin resonance spectroscopy. In egg lecithin multilayers at room temperature and 81% relative humidity the osmium tetroxide causes nearly complete loss of orientation and severe reduction of molecular motion. In contrast, the high degree of order in l-α-dipalmitoyl lecithin multilayers is not affected by exposure to osmium tetroxide vapors. Experiments are also reported on macroscopically disordered lecithin preparations, and the data support the conclusions drawn from the ordered lecithin multilayers that rotational mobility of the probe is severely reduced by fixation of the lipid chains.A simple mathematical model has been developed to account for the amplitude of the high-frequency (τ < 10^?8 sec) restricted y-axis anisotropic motion occurring in the bilayer plane. Since the y-axis is roughly parallel to the molecular axis of the rigid steroid spin label, this model enables quantitative comparisons of various degrees of restricted motion about the molecular axis.     

Cholesterol prevents interaction of the cell‐penetrating peptide transportan with model lipid membranes

Interaction of the cell‐penetrating peptide (CPP) cysteine‐transportan (Cys‐TP) with model lipid membranes was examined by spin‐label electron paramagnetic resonance (EPR). Membranes were labeled with lipophilic spin probes and the influence of Cys‐TP on membrane structure was studied. The influence of Cys‐TP on membrane permeability was monitored by the reduction of a liposome‐trapped water‐soluble spin probe. Cys‐TP caused lipid ordering in membranes prepared from pure dimyristoylphosphatidylcholine (DMPC) and in DMPC membranes with moderate cholesterol concentration. In addition, Cys‐TP caused a large increase in permeation of DMPC membranes. In contrast, with high cholesterol content, at which model lipid membranes are in the so‐called liquid‐ordered phase, no effect of Cys‐TP was observed, either on the membrane structure or on the membrane permeability. The interaction between Cys‐TP and the lipid membrane therefore depends on the lipid phase. This could be of great importance for understanding of the CPP–lipid interaction in laterally heterogeneous membranes, while it implies that the CPP–lipid interaction can be different at different points along the membrane. Copyright © 2008 European Peptide Society and John Wiley & Sons, Ltd.     

Rotational mobility of an erythrocyte membrane integral protein band 3 in dimyristoylphosphatidylcholine reconstituted vesicles and effect of binding of cytoskeletal peripheral proteins

Band 3 protein was isolated from human erythrocyte membranes, purified, and reconstituted into a well-defined phospholipid bilayer matrix (dimyristoylphosphatidylcholine). The preparation yielded uniform single-bilayered vesicles of the diameter 40--80 nm. The rotational motion of band 3 was studied by saturation transfer electron spin resonance (ESR) spectroscopy of covalently attached maleimide spin-labels. The rotational mobility changed in response to the host lipid phase transition. The rotational correlation time was in a range from 73 (37 degrees C) to 94 microseconds (26 degrees C) in the fluid phase and from 240 (15 degrees C) to 420 microseconds (5 degrees C) in the solid phase. The motion was analyzed based on the anisotropic rotation of band 3 in the reconstituted vesicles. To obtain information on the rotational diffusion constant around the axis parallel to the membrane normal, we made an attempt to measure the angle between the spin-label magnetic axis and the membrane normal. The result gave 3.9 x 10(4) s-1 at 37 degrees C as a rough estimate for the diffusion constant. This is compatible to anisotropic rotation of a cylinder of radius 3.3 nm in a two-dimensional matrix with inner viscosity 2 P and inner thickness 4 nm. The cytoskeletal peripheral proteins caused a definite increase in the rotational correlation time (from 73 to 180 microseconds at 37 degrees C, for example). The restriction of the rotational mobility was shown to be due to the ankyrin-linked interaction between band 3 and spectrin-actin-band 4.1 proteins in the reconstituted membranes.     

Adamantyl nitroxide: A spin label for probing membrane surfaces

In an effort to understand more about the perturbing properties of adamantane-like molecules on biological membranes, the spin probe adamantyl nitroxide (2,2′-dimethyl-5-adamantyl oxazolidine-N-oxyl) was synthesized, purified and characterized. Electron paramagnetic resonance (EPR) spectra were then obtained from 1:50 and 1:200 mixtures of adamantyl nitroxide with dipalmitoyl and dipalmityl phosphatidylcholine multibilayers. Above the phase transition temperature of these lipids (41°C for dipalmitoyl phosphatidylcholine and 43°C for dipalmityl pholphatidylcholine) the spectra of adamantyl nitroxide are similar to control spectra obtained in liquid oleic acid. Below the phase transition temperatures, however, spectral differences were observed depending on: (1) the concentration of the spin probe in the lipid; (2) the linkage between the polar head group and the hydrocarbon tails of the phospholipid; (3) the temperature of the sample. Partitioning of adamantyl nitroxide between the aqueous and hydrocarbon phases of the sample is most prominent at probe-to-lipid ratios of 1:200 and at temperatures below the pre-transition temperature of the lipid (around 33°C). Computer simulations of the above results, as well as additional experiments performed at 35 GHz, show that the results arise from true partitioning and not from asymmetric probe motion.Two conclusive results of these experiments are that spectra of adamantyl nitroxide in phospholipid multibilayers are sensitive to probe concentration and to the physical characteristics of the phospholipid which they probe. The spectral differences which arise when adamantyl nitroxide is used with ether- and ester-linked phospholipids indicate that it is a sensitive probe of membrane surfaces. Employment of this molecule in membrane research should prove to be useful in obtaining additional information about membrane surface events.     

Phosphatidylcholine exchange between the boundary lipid and bilayer domains in cytochrome oxidase containing membranes.

A phospholipid spin label, 16-doxylphosphatidylcholine, is employed in a study of lipid--protein interactions in cytochrome oxidase containing membranes. Two methods are used to label the membranous cytochrome oxidase: dispersion in cholate with subsequent detergent removal, and fusion with vesicles of the pure phospholipid label in the absence of detergent. A fraction of the label is immobilized, which is calculated to fall in the range of 0.17--0.21 mg of phospholipid/mg of protein (0.15--0.19 after correction for lipids not extracted by chloroform--methanol). This narrow range of values is independent of methods of labeling, protein isolation, and lipid depletion within experimental error. When labeling by fusion is utilized, the patches of pure phosphatidylcholine spin label diffuse in the plane of the bilayer, become diluted, and demonstrate exchange with bound phospholipid. These observations are evidence that boundary lipid, as reflected by the partitioning of the phosphatidylcholine label, is in equilibrium with adjacent bilayer regions and that it consists of a relatively constant amount of phospholipid associated with the hydrophobic portion of the protein.     

Detection of membrane packing defects by time-resolved fluorescence depolarization.

Packing defects in lipid bilayer play a significant role in the biological activities of cell membranes. Time-resolved fluorescence depolarization has been used to detect and characterize the onset of packing defects in binary mixtures of dilinoleoylphosphatidylethanolamine/1-palmitoyl-2- oleoylphosphatidylcholine (PE/PC). These PE/PC mixtures exhibit mesoscopic packing defect state (D), as well as one-dimensional lambellar liquid crystalline (L alpha) and two-dimensional inverted hexagonal (HII) ordered phases. Based on previous electron microscopic investigations, this D state is characterized by the presence of interlamellar attachments and precursors of HII phase between the lipid layers. Using a rotational diffusion model for rod-shaped fluorophore in a curved matrix, rotational dynamics parameters, second rank order parameter, localized wobbling diffusion, and curvature-dependent rotational diffusion constants of dipyenylhexatriene (DPH)-labeled PC (DPH-PC) in the host PE/PC matrix were recovered from the measured fluorescence depolarization decays of DPH fluorescence. At approximately 60% PE, abrupt increases in these rotational dynamics parameters were observed, reflecting the onset of packing defects in the host PE/PC matrix. We have demonstrated that rotational dynamics parameters are very sensitive in detecting the onset of curvature-associating packing defects in lipid membranes. In addition, the presence of the D state can be characterized by the enhanced wobbling diffusional motion and order packing of lipid molecules, and by the presence of localized curvatures in the lipid layers.     

Dynamic fluorescence quenching studies on lipid mobilities in phosphatidylcholine-cholesterol membranes

Bimolecular collision rate of 8-anilinonaphthalene-1-sulfonic acid (ANS) and the nitroxide doxyl group attached to various carbons on stearic acid spin labels (n-SASL) in phosphatidylcholine-cholesterol membranes in the fluid phase was studied by observing dynamic quenching of ANS fluorescence by n-SASL's. The excited-state lifetime of ANS and its reduction by the n-SASL doxyl group were directly measured by the time-correlated single photon counting technique to observe only dynamic quenching separately from static quenching and were analyzed by using Stern-Volmer relations. The collision rate of ANS with the n-SASL doxyl group ranges between 1 X 10(7) and 6 X 10(7), and the extent of dynamic quenching by n-SASL is in the order of 5-much much greater than 6- greater than 7- less than 9- less than 10- less than 12- less than 16-SASL (less than 5-SASL) in dimyristoylphosphatidylcholine (DMPC) membranes. Collision rate of 16-SASL is only 10% less than that of 5-SASL. Since the naphthalene ring of ANS is located in the near-surface region of the membrane, these results indicate that the methyl terminal of SASL appears in the near surface area frequently, probably due to extensive gauche-trans isomerism of the methylene chain. The presence of 30 mol% cholesterol decreases the collision rate of ANS with 12- and 16-SASL doxyl groups but not with the 5-SASL doxyl group in DMPC membranes. On the other hand, in egg-yolk phosphatidylcholine membranes, inclusion of 30 mol% cholesterol does not affect the collision of ANS with either 5-SASL or 16-SASL doxyl groups, in agreement with our previous observation that alkyl chain unsaturation moderates cholesterol effects on lipid motion in the membrane (Kusumi et al., Biochim. Biophys. Acta 854, 307-317). It is suggested that dynamic quenching of ANS fluorescence by lipid-type spin labels is a useful new monitor of membrane fluidity that reports on various lipid mobilities in the membrane; a class of motion can be preferentially observed over others by selecting a proper spin label, i.e., rotational diffusion of lipid about its long axis and translational diffusion by using 5-SASL, wobbling motion of the lipid long axis by using 7-SASL or androstane spin label, and gauche-trans isomerism by using 16-SASL.     

A theory of fluorescence polarization decay in membranes.

Decay of fluorescence polarization after an impulsive excitation is correlated with wobbling motion of fluorescent molecules in membranes. The motion is characterized by two parameters, a "wobbling diffusion constant" and a "degree of orientational constraint" both of which can be determined directly from experimentally obtained decay. Detailed discussion, including theoretically calculated time-courses of polarization decay, is given for several types of molecules embedded in lipid bilayers; these types cover a large part of fluorescent probes available at present. The theory is useful for the analysis of fluorescence polarization decay in any system where the orientation of fluorophore is restricted by the surrounding structure.     

Models of protein lateral arrangements in lipid bilayer membranes. Application to electron spin resonance studies of cytochrome c oxidase

We consider the situation of integral membrane proteins in a lipid bilayer matrix where the size of the polar group of the protein is important in determining the lateral packing of the proteins. We represent the cross-section of the protein hydrophobic core as a hexagon moving on a lattice, and represent the projection of the polar group onto the plane of the bilayer as a shape, parts of which overlap the hexagon. Lattice sites represent lipid molecules. We calculate the fraction of lipid molecules which are adjacent to the hydrophobic core of at least one protein. We use this data to consider the "motion restricted" spectrum observed in electron spin resonance (ESR) probe studies, and compute the dependence of the "motion restricted" fraction upon protein concentration. The resulting curves can be used to analyse ESR data in order to deduce the size and shape of the proteins' polar segment. We have used the range of models examined to study the dependence upon protein concentration of the particular case of the "motion restricted" spectrum of a spin-labelled lipid freely diffusing or, alternatively, covalently bound to cytochrome c oxidase. We find that our calculations are in accord with a model where approximately 60 lipid molecules can fit around an isolated such protein in both halves of the bilayer, and where the polar segment is substantially anisotropic and extends laterally beyond the limits of the hydrophobic core. The latter is in accord with what is known about the structure of cytochrome c oxidase. We indicate further measurements that should be performed in order to establish more definitively the dependence of the "motion restricted" component upon protein concentration, giving the lipid protein ratios at which they should be performed, and we make predictions concerning the results. Finally we argue for a particular unified way of plotting experimental data.