An assessment of the fluidity gradient of the lipid bilayer as determined by a set of n-(9-anthroyloxy) fatty acids (n = 2, 6, 9, 12, 16).

The rotational behavior of a set of n-(9-anthroyloxy) fatty acid fluorescent probes is examined in two liquid paraffins and in liposomes composed of dipalmitoyl phosphatidylcholine. As has been observed with other membrane fluorescent probes (Hare, F., and Lussan, C. (1977) Biochim. Biophys. Acta 467, 262-272), the degree of fluorescence depolarization for a given solvent viscosity is dependent on the solvent standard employed. In addition, when the anthroyloxy group is in the terminal position of the acyl chain, it has more rotational freedom than when it is conjugated to positions 6, 9, or 12 where the rotational motion of the fluorophore is similar. When incorporated into lipid bilayers, values of fluorescence polarization reflect the gradient of "fluidity" which extends from the surface to the center of the membrane. The nature of this polarization gradient is discussed in relation to the intrinsic differences between the probes and the anisotropic rotations responsible for depolarization.     

Mapping global angular transitions of proteins in assemblies using multiple extrinsic reporter groups.

The fluorescence polarization intensities from fluorescent probes and the electron paramagnetic resonance spectra from spin probes, specifically modifying elements of a biological assembly such as myosin sulfhydryl 1 (SH1) in muscle fibers, are interpreted in terms of probe order parameters using a model-independent method. The probe order parameters are related to each other by an Euler rotation of coordinates. We use this relationship to link the sets of order parameters from the different probes and in so doing create a system of equations that can be solved using only the information available from the experimental data. The solution yields the Euler angles relating the different probe coordinate frames and a larger set of probe order parameters than can be directly detected experimentally. The Euler angles are used to display the relative orientation of the probe molecular frames. The order parameters give rise to probe angular distributions that are at the theoretical limit of resolution. We demonstrate the utility of this analytical method by investigating the rotation of myosin SH1 from its orientation in rigor upon the binding of the nucleotide MgADP to the myosin cross-bridge. Our findings, discussed in the accompanying paper, suggest that the rigor-to-MgADP cross-bridge angular transition consists predominantly of a rotation about the hydrodynamic axis of symmetry of the cross-bridge, i.e., its torsional degree of freedom [Ajtai, K., Ringler, A., & Burghardt, T. P. (1992) Biochemistry (following paper in this issue)].     

Measurement of rotational motion in membranes using fluorescence recovery after photobleaching.

A method has been developed for the measurement of the rotational motion of membrane components. In this method fluorescent molecules whose transition dipole moments lie in a given direction are preferentially destroyed with a short intense burst of polarized laser radiation. The fluorescence intensity, excited with a low intensity observation beam of polarized laser radiation, changes with time as the remaining fluorescent molecules rotate. The feasibility of the method has been demonstrated in a study of the rotation of the fluorescent lipid probe, dil ([bis,-2-(N-octadecyl-3,3-dimethyl-1-benzo[b]pyrrole]-trimethincyanine iodide) incorporated into membranes composed of distearoylphosphatidylcholine (DSPC) or dipalmitoylphosphatidylcholine (DPPC) and 0.20 mol% cholesterol, below the main chain-melting transition temperatures of the phosphatidylcholines. Rotation times in the 0.6-800 s range were observed. The fluorescence recovery (or decay) curves are in satisfactory agreement with theoretical calculations.     

Steady-state fluorescence polarization in planar lipid membranes. Experimental and theoretical analysis of the fluorophores 8-anilino-1-naphthalenesulfonate, 1,6-Diphenyl-1,3,5-hexatriene, dansyllysine-valinomycin and n-(9-anthroyloxy) fatty acids

In continuation of earlier work, the steady-state fluorescence polarization in a globally oriented system of planar lipid membranes was analyzed experimentally and theoretically for the fluorophores 8-anilino-1-naphthalenesulfonate, 1,6-diphenyl-1,3, 5-hexatriene, dansyllysine-valinomycin and n-(9-anthroyloxy) fatty acids. The theoretical analyses of experiments were mainly done in terms of the mean orientation of transition moments with respect to the membrane normal, an angle describing the region of hindered rotational diffusion and the coefficients of rotational diffusion perpendicular to the membrane and around the membrane normal. The nonvanishing angle between the moments of absorption and emission was taken into account. In the case of n-(9-anthroyloxy) fatty acids it was found that the orientational disorder increases significantly with the depth of the fluorophore within the membrane. In order to compare with recent results from time-dependent fluorescent polarization in globally isotropic membrane suspensions and with 2H-NMR experiments, the second moment ('order parameter') of the steady-state orientational distribution of absorption dipoles was calculated. For all fluorophores the theoretical analysis indicates a preferred orientation of absorption moments within the membrane plane.     

A fluorescence photobleaching study of the microsecond reorientational motions of DNA.

We have conducted a polarized fluorescence photobleaching recovery (FPR) study of the rotational dynamics of ethidium azide labeled DNA. Polarized photobleaching experiments provide data on microsecond and millisecond molecular reorientation that complement the information available from nanosecond fluorescence depolarization studies. In polarized FPR experiments an anisotropic angular concentration of fluorophore is created by bleaching dye molecules in a preferred orientation with a short, intense pulse of polarized light. The sample is then weakly illuminated, and the temporal variation in the emitted fluorescence is monitored. The fluorescence signal will systematically change as molecules undergo post-bleach reorientation and the angular distribution of dye tends toward isotropy. We have observed that the time dependence of our microsecond FPR curves is also determined in part by nonrotational phenomena. To isolate the reorientational recovery we conduct our FPR experiments in two modes (called parallel and perpendicular) that differ only in the polarization of the bleaching light. A quotient function, R(t), is constructed from the data obtained in these two modes; the variation with time of this new quantity is governed solely by processes that are sensitive to the polarization of the incident light (e.g., molecular rotation). It is found experimentally that R(t) remains constant, as expected, for rotationally restricted DNA systems despite a temporal recovery in the parallel and perpendicular FPR curves. We also follow the dynamics of solutions of phage lambda DNA as revealed in the temporal dependence of R(t). This DNA system rotationally relaxes after approximately 100 microseconds and the dye/DNA complex reorients substantially during the 10-microseconds bleach period. Our FPR data are interpreted in terms of dynamic models of DNA motion.     

Fluorescence recovery spectroscopy as a probe of slow rotational motions.

Pump-and-probe techniques can be used to follow the slow rotational motions of fluorescent labels bound to macromolecules in solution. A strong pulse of polarized light initially anisotropically depletes the ground-state population. A continuous low-intensity beam of variable polarization then probes the anisotropic ground-state distribution. Using an additional emission polarizer, the generated fluorescence can be recorded as it rises towards its prepump value. A general theory of fluorescence recovery spectroscopy (FRS) is presented that allows for irreversible depletion processes like photobleaching as well as slowly reversible processes like triplet formation. In either case, rotational motions modulate recovery through cosine-squared laws for dipolar absorption and emission processes. Certain pump, probe, and emission polarization directions eliminate the directional dependence of either dipole and simplify the resulting expressions. Two anisotropy functions can then be constructed to independently monitor the rotations of either dipole. These functions are identical in form to the anisotropy used in fluorescence depolarization measurements and all rotational models developed there apply here with minor modifications. Several setups are discussed that achieve the necessary polarization alignments. These include right-angle detection equipment that is commonly available in laboratories using fluorescence methods.     

Total internal reflection fluorescence. Measurement of spatial and orientational distributions of fluorophores near planar dielectric interfaces

The fluorescence collected from a fluorophore which is near a planar interface and is excited by a laser beam that is totally internally reflected at the interface depends on the direction of the absorption and emission transition dipole moments of the fluorophore with respect to the interface, on the distance from the fluorophore to the interface, on the angle of incidence and polarization direction of the exciting beam, and on properties of the collection optics. Expressions are derived for the excitation and subsequent emission and collection of fluorescence from a population of fluorophores near a planar interface. Presented is a general model-independent method of obtaining characteristic parameters of the spatial and orientational distribution of the population of fluorophores, from a measure of the fluorescence collected as a function of the polarization and the incidence angle of the totally internally reflected laser beam. The method is illustrated with several simulation calculations.     

Study of polysaccharides by the fluorescence method. III. Chain length dependence of the micro-Brownian motion of amylose in an aqueous solution

The fluorescence polarization method was applied to the investigation of the micro-Brownian motion of amylose chains having a wide range of degree of polymerization (DP). We prepared two types of fluorescent conjugates of amylose: amylose conjugated with fluorescein randomly throughout the chain (F-amylose) and amylose conjugated locally on a terminal segment (t-F-amylose). The degree of fluorescence polarization of these conjugates was measured by changing the solvent viscosity at a constant temperature (25°C). The data obtained were analyzed by a Perrin-type equation to calculate the mean rotational relaxation time, 〈ρ〉. By examination of the plots of 〈ρ〉 vs DP, and by comparison of 〈ρ〉 with the theoretical rotational relaxation time of the whole molecule at a given DP, it was found that 〈ρ〉 mainly reflects the segmental motion of the amylose chain in the high-DP range. Thus, the fact that 〈ρ〉 for t-F-amylose is much smaller than that for F-amylose at a sufficiently high DP shows that a terminal segment undergoes a more rapid micro-Brownian motion than interior segments. In the low-DP range, we felt that the rotational diffusion of the whole molecule contributes significantly to the relaxation process. We also examined, for comparison, the segmental motion of dextran and pullulan in a similar manner and found that these segmental motions are more rapid than those of amylose. Based on the results obtained, the segmental mobility and conformation of the amylose molecule are discussed in relation to its chain length.     

Fluorescence polarization in a planar array of pigment molecules: theoretical treatment and application to flavins incorporated into artificial membranes.

A quantitative fluorescence polarization theory of molecules bound to two-dimensional plane layers has been developed when the electronic transition moments of absorption and emission are parallel within the fluorescent molecules. The transition moments are assumed to be in preferred orientation with respect to the normal to the plane and to be randomly oriented within the plane (rotational symmetry with the normal as axis of symmetry). Three basic model distributions of transition moments are investigated quantitatively. These model distributions represent a simplification but in most cases may be expected to describe reality with sufficient accuracy. For all distributions, two cases of different mobility of molecules are treated: (a) the lifetime of fluorescence is small compared with the characteristic relaxation time of the distribution, and (b) the lifetime of fluorescence is long, so that a complete reorientation of transition moments during the excited state can take place. From the quantitative calculations four characteristic quantities are derived, which are appropriate for the analysis of experimental data. Experiments are carried out with phosphatidylcholine bilayer membranes which contain three differently substituted amphiphilic flavins. All three flavins yield similar data. Their analyses predict free and fast mobility of the flavin chromophore.     

Studies on calcium ion-induced conformation changes in the actin-tropomyosin-troponin system by fluorimetry. III. Changes in the conformation of tropomyosin associated with functional states.

The local conformational changes in the tropomyosin molecule under various conditions were studied by means of fluorimetry using SH-directed fluorescent dyes, N-(1-anilinonaphthyl-4)maleimide (ANM) and N-(3-pyrene)maleimide (PRM). 1. The fluorescence intensity, polarization and the emmission maximum of ANM-tropomyosin were found to be susceptible to ionic strength, but in different ways. The changes in these parameters suggest that the fluorescence-labeled sulfhydryl group or groups become more buried in a hydrophobic internal region by salt-induced depolymerization of aggregate and by adding F-actin to tropomyosin. 2. Titration of the labeled tropomyosin with F-actin revealed a cooperative nature in ANM labeling and a simple saturation kinetics in PRM labeling. The dissociation constant of F-actin to PRM-tropomyosin was calculated to be 5.8-10(-6) M. 3. Temperature dependence of the fluorescence polarization showed a thermal transition in the conformation of ANM- or PRM-tropomyosin at around 30 degrees C. Flexibility or segmental motion of the region containing the fluorophore was suppressed significantly on adding troponin and markedly on adding F-actin. 4. Measurements of the quantum yield and polarization of the ANM-tropomyosin-F-actin complex suggested that troponin strengthened the binding between the two proteins and that Ca2+ reversed this effect.     

Fluorescence anisotropy as a probe to study tracer proteins in crowded solutions

Fluorescence anisotropy has been widely used to study the dynamics and interactions of biomolecules in diluted solutions. Comparable studies on single tracer macromolecules at the cellular level are now feasible because of the recent development of non-invasive fluorescence markers, like the growing family of the green fluorescence proteins (GFPs), and the advances in time-resolved fluorescence microscopy instrumentation. The interpretation of fluorescence polarization data in terms of dynamics and biological function of the macromolecular complexes in these physiological environments requires a deep understanding of the tracer rotational diffusion in such complex media. In this work we have studied the rotational diffusion of a tracer protein, apomyoglobin labeled with 1-anilino-8-naphthalene sulfonate, in crowded solutions of an unrelated protein, ribonuclease A. We have evaluated the deviation of the different tracer rotational motions from the Stokes-Einstein-Debye diffusion behavior, and its relation to the properties of the transient molecular cavities where the tracer is rotating in the fluorescence lifetime window. Finally, we have analyzed the application of fluorescence polarization methods to determine the apparent equilibrium constants of homo and hetero-associations of macromolecules in crowded conditions.     

Lipid fluidity directly modulates the overall protein rotational mobility of the Ca-ATPase in sarcoplasmic reticulum

We have developed a quantitative and relatively model-independent measure of lipid fluidity using EPR and have applied this method to compare the temperature dependence of lipid hydrocarbon chain fluidity, overall protein rotational mobility, and the calcium-dependent enzymatic activity of the Ca-ATPase in sarcoplasmic reticulum. We define membrane lipid fluidity to be T/eta, where eta is the viscosity of a long chain hydrocarbon reference solvent in which a fatty acid spin label gives the same EPR spectrum (quantitated by the order parameter S) as observed for the same probe in the membrane. This measure is independent of the reference solvent used as long as the spectral line shapes in the membrane and the solvent match precisely, indicating that the same type of anisotropic probe motion occurs in the two systems. We argue that this empirical measurement of fluidity, defined in analogy to the macroscopic fluidity (T/eta) of a bulk solvent, should be more directly related to protein rotational mobility (and thus to protein function) than are more conventional measures of fluidity, such as the rate or amplitude of rotational motion of the lipid hydrocarbon chains themselves. This new definition thus offers a fluidity measure that is more directly relevant to the protein's behavior. The direct relationship between this measure of membrane fluidity and protein rotational mobility is supported by measurements in sarcoplasmic reticulum. The overall rotational motion of the spin-labeled Ca-ATPase protein was measured by saturation-transfer EPR. The Arrhenius activation energy for protein rotational mobility (11-12 kcal/mol/degree) agrees well with the activation energy for lipid fluidity, if defined as in this study, but not if more conventional definitions of lipid fluidity are used. This agreement, which extends over the entire temperature range from 0 to 40 degrees C, suggests that protein mobility depends directly on lipid fluidity in this system, as predicted from hydrodynamic theory. The same activation energy is observed for the calcium-dependent ATPase activity under physiological conditions, suggesting that protein rotational mobility (dependent on lipid fluidity) is involved in the rate-limiting step of active calcium transport.     

Membrane dynamic alterations associated with viral transformation and reversion. Decay of fluorescence emission and anisotropy studies of 3T3 cells.

Fluorescence lifetimes, anisotropies and rotational correlation time values of 1,6-diphenyl-1,3,5-hexatriene (DPH) in membranes of normal, transformed, and revertant 3T3 cells were determined by nanosecond (nsec), photon counting spectrofluorimetry. No change in lifetime values with transformation or reversion is observed. Fluorescence anisotropy decay curves show at least two components; an initial relatively fast decay and a non-zero “plateau” level component. The observed changes in the average anisotropy values, which qualitatively follow steady-state fluorescence polarization values, is due primarily to changes in the non-zero “plateau” level component. The anisotropy decay curves suggest that the rotational motion of the probe is restricted to a limited angular range. The present results are compared with model membrane systems.     

Model-independent analysis of the orientation of fluorescent probes with restricted mobility in muscle fibers

The orientation of proteins in ordered biological samples can be investigated using steady-state polarized fluorescence from probes conjugated to the protein. A general limitation of this approach is that the probes typically exhibit rapid orientational motion ("wobble") with respect to the protein backbone. Here we present a method for characterizing the extent of this wobble and for removing its effects from the available information about the static orientational distribution of the probes. The analysis depends on four assumptions: 1) the probe wobble is fast compared with the nanosecond time scale of its excited-state decay; 2) the orientational distributions of the absorption and emission transition dipole moments are cylindrically symmetrical about a common axis c fixed in the protein; 3) protein motions are negligible during the excited-state decay; 4) the distribution of c is cylindrically symmetrical about the director of the experimental sample. In a muscle fiber, the director is the fiber axis, F. All of the information on the orientational order of the probe that is available from measurements of linearly polarized fluorescence is contained in five independent polarized fluorescence intensities measured with excitation and emission polarizers parallel or perpendicular to F and with the propagation axis of the detected fluorescence parallel or perpendicular to that of the excitation. The analysis then yields the average second-rank and fourth-rank order parameters ( and ) of the angular distribution of c relative to F, and and , the average second-rank order parameters of the angular distribution for wobble of the absorption and emission transition dipole moments relative to c. The method can also be applied to other cylindrically ordered systems such as oriented lipid bilayer membranes and to processes slower than fluorescence that may be observed using longer-lived optically excited states.     

Theory of fluorescence polarization of oriented pigment molecules in spherical arrays

Summary Theoretical results are presented which are appropriate for the analysis of the static polarized fluorescence experiment with oriented pigment molecules in spherical arrays (vesicles). Though the global orientation mediated over the whole sphere is isotropic, the fluorescent molecules may have preferred local orientation with respect to the local plane. As in a former paper, concerning fluorescence polarization in planar arrays, three basic (local) orientation distributions of the electronic transition moments are investigated, which may be expected to describe a wide class of real cases with sufficient accuracy. Analytic expressions for the degree of polarization are derived. One important result is that the degree of polarization may be extremely dependent on the local orientation of transition moments. Hence the usual method of determination of microviscosities from experiments with vesicles with the use of the theory of fluorescence polarization for macromolecules in solutions should be regarded with great caution.I wish to thank prof. P. LÄuger and Dr. G. Pohl for interesting discussions. This work has been financially supported by the Deutsche Forschungsgemeinschaft (Sonderforschungsbereich 138).     

Environmental modulation of M13 coat protein tryptophan fluorescence dynamics

The effects of detergent [deoxycholate (DOC) and phospholipid [dimyristoylphosphatidylcholine (DMPC)] environments on the rotational dynamics of the single tryptophan residue 26 of bacteriophage M13 coat protein have been investigated by using time-resolved single photon counting measurements of the fluorescence intensity and anisotropy decay. The total fluorescence decay of tryptophan-26 is complex but rather similar in DOC as compared to DMPC when analyzed in terms of a lifetime distribution (exponential series method). This similarity, in conjunction with the almost identical steady-state fluorescence spectra, indicates only minor differences between the tryptophan environments in DOC and DMPC. The reorientational dynamics of tryptophan-26 are dominated by slow rotation of the entire protein in both detergent and phospholipid environments. The resolved anisotropy decay in DOC can be approximated by a simple hydrodynamic model of protein/detergent micelle rotational diffusion, although the data indicative slightly greater complexity in the rotational motion. The tryptophan fluorescence anisotropy is not sensitive to protein conformational changes in DOC detected by nuclear magnetic resonance on the basis of pH independence in the range 7.5-9.1. In DMPC bilayers, restricted tryptophan motion with a correlation time of approximately 2 ns is observed together with a second very slow reorientational component. Resolution of the time constant for this slow rotation is obscured by the tryptophan fluorescence time window being too short to clearly locate its anisotropic limit. The possible contribution made by axial rotational diffusion of the protein to this slow rotational process is discussed.(ABSTRACT TRUNCATED AT 250 WORDS)     

Human plasma fibronectin structure probed by steady-state fluorescence polarization: evidence for a rigid oblate structure

In order to more clearly define the structure of human plasma fibronectin (PFn) under physiologic buffer conditions, we determined the mean harmonic rotational relaxation times (rho H) of PFn and the thrombin-derived 190/170-kDa PFn fragment using steady-state fluorescence polarization. These measurements utilized the long lifetime emission (tau = 1.2 X 10(-7) S) exhibited by 1-pyrenebutyrate, which had been covalently attached to amino groups at random sites on the PFn subunit. Our data analysis assumed that two independent processes depolarize the fluorescence exhibited by the dansylcadaverine and 1-pyrenebutyrate conjugates of PFn: (A) rapid (rho H less than 10(-9) S) "thermally-activated" localized rotational motion of the protein side chains bearing the fluorescent probe [Weber, G. (1952) Biochem. J. 51, 145-154] and (B) slow (rho H approximately 10(-6) S) temperature-independent global rotational motion of the whole PFn molecule. Since only the rho H associated with the latter process is a true hydrodynamic parameter (i.e., sensitive to size and/or shape of the PFn molecule), we utilized isothermal polarization measurements to discriminate against the interfering signal arising from "thermally activated" probe rotation. The rho H (4.4 +/- 0.9 microseconds) derived from an experiment in which pyrene-PFn fluorescence polarization was monitored as a function of sucrose concentration at constant temperature is 7 (+/- 1.4) times longer than that predicted for an equivalent hydrated sphere. We propose that "thermally activated" probe rotation gives rise to the nearly 100-fold shorter PFn rho H values previously reported in the literature. Consequently, our data exclude all previous models which invoke segmental flexibility of the PFn peptide backbone. The simplest hydrodynamic model supported by our fluorescence data is an oblate ellipsoid with an axial ratio of 15:1. All prolate models can be unambiguously excluded by this result. We estimate that the disk-shaped PFn molecule has a diameter and thickness of 30 and 2 nm, respectively. Electron microscopy of negatively stained PFn specimens on carbon also showed PFn to have a compact rounded structure. The much faster rotational relaxation rate of the pyrene-190/170-kDa PFn fragment (rho H = 0.92 +/- 0.11 microseconds) compared to pyrene-PFn indicated that this monomeric PFn fragment, like native PFn, had an oblate shape under physiologic buffer conditions.