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At least 19 recordsLinked to original sources

Magnetic anisotropy of lecithin membranes. A new anisotropy susceptometer.

Cylindrical giant vesicles prepared from egg lecithin and 1,2-dimyristoyl-sn-glycero-3-phosphocholine (DMPC) are oriented in an external magnetic field and observed by phase contrast microscopy. The anisotropic part of the diamagnetic susceptibility of the lecithin membrane is determined from the distribution of angles between the magnetic field and the long cylinder axis due to thermal fluctuations. The anisotropy of DMPC is found to be larger by a factor of 2 than that of egg lecithin. This is attributed to the presence of unsaturated acyl chains in egg lecithin.

Chemical Phenomena

Torsional motion of eosin-labeled F-actin as detected in the time-resolved anisotropy decay of the probe in the sub-millisecond time range.

The internal motion of F-actin in the time range from 10(-6) to 10(-3) second has been explored by measuring the transient absorption anisotropy of eosin-labeled F-actin using laser flash photolysis. The transient absorption anisotropy of eosin-F-actin at 20 degrees C has a component that decays in the submicrosecond time scale to an anisotropy of about 0.3. This anisotropy then decays with a relaxation time of about 450 microseconds to a residual anisotropy of about 0.1 after 2 ms. When the concentration of eosin-F-actin was varied in the range from 7 to 28 microM, the transient absorption anisotropy curves obtained were almost indistinguishable from each other. These results show that the anisotropy decay arises from internal motion of eosin-F-actin. Analysis of the transient absorption anisotropy curves indicates that the internal motion detected by the decay in anisotropy is primarily a twisting of actin protomers in the F-actin helix; bending of the actin filament makes a minor contribution only to the measured decay. The torsional rigidity calculated from the transient absorption anisotropy is 0.2 X 10(-17) dyn cm2 at 20 degrees C, which is about an order of magnitude smaller than the flexural rigidity determined from previous studies. Thus, we conclude that F-actin is more flexible in twisting than in bending. The calculated root-mean-square fluctuation of the torsional angle between adjacent actin protomers in the actin helix is about 4 degrees at 20 degrees C. We also found that the torsional rigidity is approximately constant in the temperature range from 5 to approximately 35 degrees C, and that the binding of phalloidin does not appreciably affect the torsional motion of F-actin.

Actins

Changes in the steady-state fluorescence anisotropy of N-iodoacetyl-N'-(5-sulfo-1-naphthyl)ethylenediamine attached to the specific thiol of sarcoplasmic reticulum Ca2+-ATPase throughout the catalytic cycle.

Cys674 of the sarcoplasmic reticulum Ca2+-ATPase was selectively labeled with N-iodoacetyl-N'-(5-sulfo-1-naphthyl)ethylenediamine without a loss of the catalytic activity, and the steady-state fluorescence anisotropy of this label and its total fluorescence intensity were followed throughout the catalytic cycle. At 25 degrees C, the anisotropy and the total fluorescence intensity increased by 2.1 and 9.4%, respectively, upon Ca2+ binding to the high affinity sites. Upon subsequent ATP binding to the catalytic site, the anisotropy and the total fluorescence intensity decreased by 6.8 and 23.9%, respectively. These drops likely occurred in the enzyme.ATP complex. The extents of changes upon additions of Ca2+ and ATP in the anisotropy, but not in the total fluorescence intensity, were greatly reduced by lowering the temperature. Slight drops in the anisotropy and the total fluorescence intensity occurred upon conversion of phosphoenzyme (EP) from the ADP-sensitive form to the ADP-insensitive form. The anisotropy and the total fluorescence intensity returned to the initial level when EP was hydrolyzed. Mg2+-dependent Pi-induced drops in the anisotropy and the total fluorescence intensity occurred coincidently with EP formation from Pi. These demonstrate that the ATP-induced drops in the anisotropy and the total fluorescence intensity are predominant throughout the catalytic cycle. Most probably, the changes in the anisotropy are due to changes in the rotational diffusion of the label. These findings indicate that ATP binding to the catalytic site induces a relaxed conformation in the microenvironment of the label bound to Cys674.

Adenosine Triphosphate

Single and multiple desipramine exposures of cultured cells. Changes in cellular anisotropy and in lipid composition of whole cells and of plasma membranes.

Effects of the antidepressant drug desipramine (DMI) on fluorescence anisotropy were studied in living cultured human fibroblasts, rat brain astrocytes and rat ROC-1 hybridoma cells (oligodendrocytes x C6). Fluorescence anisotropy, a measure for fluidity, was measured by means of a fluorescence polarization technique using a set of n-(9-anthroyloxy) fatty acids as markers. Apparent fluorescence anisotropies were determined in cells following single or multiple dose exposures to 5 microM DMI at 37 degrees and compared to control cells. In all three cell types single doses of DMI led to significant decreases in anisotropies of the deeper layers (12-AS) of the membranes only, suggesting increases in fluidity. Repeated exposures to 5 microM DMI led to cell specific, significant changes in anisotropies of the superficial membrane layers, as determined by 2-AP, 6-, 7- and 9-AS. The resulting anisotropy values of the three different cell types became more alike than prior to DMI exposure. Alterations in anisotropies were accompanied with changes in the phospholipid patterns of whole cells and isolated plasma membrane vesicles. The changes of PC/PE ratios were consistent with changes observed in fluorescence anisotropies. Such alterations may be individual regulatory responses of the cells to the chronic presence of the drug within the membranes.

Animals

Ionic effects on the rotational dynamics of cross-bridges in myosin filaments, measured by triplet absorption anisotropy.

We have measured the rotational motion of myosin heads in synthetic thick filaments at 4 degrees C in the time range from 10(-7) to 10(-4) seconds, by measuring transient absorption anisotropy of an eosin probe attached to a reactive sulfhydryl on the myosin head. Under conditions that result in monomeric myosin (500 mM ionic strength), the anisotropy decay is independent of pH in the range from 7.0 to 8.2 and [Mg2+] in the range from 0.1 to 10 mM; the anisotropy decays bi-exponentially with correlation times of 0.4 and 2 microseconds to a constant value of 0.016. Under more physiological conditions (115 mM ionic strength), resulting in filament formation, the anisotropy decay is sensitive to both pH and [Mg2+]. The anisotropy at pH 8.2 and 0.1 mM-Mg2+ decays with correlation times of 0.5 and 3.8 microseconds to a constant limiting anisotropy of 0.038. When the [Mg2+] is increased to 10 mM, the correlation times are 0.6 and 5.7 microseconds and the limiting anisotropy value is 0.055. Identical changes in the anisotropy decay are caused by an increase in [H+] to pH 7.0, in the presence of 0.1 mM-Mg2+. Increasing the total ionic strength to 187 mM decreases the amplitude of the cation effects. These results provide direct evidence that the rotational dynamics of myosin heads in thick filaments are influenced by physiological concentrations of cations. The results are qualitatively consistent with the proposal that these and other ionic conditions regulate transitions between "spread" and "compact" cross-bridge conformations, but the quantitative results indicate that cross-bridges undergo large-amplitude microsecond rotations even under conditions where the compact state should predominate.

Eosine Yellowish-(YS)

Resolution of multiphasic reactions by the combination of fluorescence total-intensity and anisotropy stopped-flow kinetic experiments.

Multiphasic kinetics are often observed in stopped-flow investigations. To characterize further these kinetic phases, we have developed a methodology whereby fluorescence total intensity and anisotropy stopped-flow data can be combined in a single analysis. Fluorescence total intensity and anisotropy are highly interrelated and contain two very complementary forms of information. Total-intensity changes are useful in determining changes in populations with differing quantum yields, whereas anisotropy changes contain additional contributions caused by the rotational dynamics of the species. For cases in which the fluorescence quantum yield increases, the observed rate of anisotropy change will be more rapid than the total-intensity change, whereas in cases in which the total intensity decreases, the observed change in anisotropy will lag behind. In all cases, with quantum yield changes the stopped-flow anisotropy signals cannot be fit with models consisting of exponentials. Case studies examining these effects are described for the protein folding/refolding transitions of Staphylococcal nuclease and phosphoglycerate kinase. A multiphasic DNA exonuclease reaction using bacteriophage T4 DNA polymerase is also examined. In all of these cases, combined analysis of both data types revealed insights into reaction mechanism, which could not be obtained by either data type in isolation. Quantum yields and steady-state anisotropies associated with transiently populated intermediate species can be resolved. The data analysis methodologies described allow characterization of multiphasic reactions in terms of internally consistent kinetic rates, quantum yields, and steady-state anisotropies.

Bacteriophage T4

Fluorescence anisotropy as an index of fetal lung maturation in vitro.

Fluorescence techniques have been used to assess the viscosity of surfactant-containing fluids in vivo and have been successfully employed clinically as indices of lung maturity. However, fluorescence measurements have not been previously used as indicators of fetal lung maturation in an in vitro system. Lung explants derived from 19-, 20-, and 21-day fetal rats were cultured in F-12 medium for 24-72 h. Tissue homogenates and culture medium were eluted on Sephacryl S-300 columns, a diphenylhexatriene (DPH) probe was added to each fraction, and fluorescence anisotropy and intensity were measured after excitation at 357 nm and emission at 435 nm. Elution fractions containing the major fluorescence peak were demonstrated to correspond to the phosphatidylcholine-containing fraction and were shown to contain lamellar bodies. Fluorescence anisotropy of tissue homogenates obtained from 19-day lung explants decreased after 72 h in culture, suggesting lower microviscosity of the surfactant-containing fractions. Assessment of culture media collected at 24-h intervals revealed significant decreases in anisotropy by 48 h for the 19-day explants, and by 24 h for the 20- and 21-day explants. Anisotropy of the final (48-72 h) culture media aliquots was significantly lower for 21-day explants (0.144 +/- 0.004, SE), than for 20-day (0.172 +/- 0.013) or 19-day explants (0.197 +/- 0.008), p < .005. Anisotropy of culture medium tended to be lower than anisotropy of corresponding tissue homogenates, suggesting that viscosity of recently secreted surfactant may be different from viscosity of surfactant within lamellar bodies in type II cells. Relative fluorescence intensity of tissue homogenates also increased with time in culture. These results indicate that fluorescence anisotropy can be used to assess the viscosity of surfactant in vitro and serve as another index of fetal lung maturation in in vitro systems. Estimation of the microviscosity of the surfactant phospholipid bilayer using anisotropy measurements may provide additional insight into such roles of surfactant function as adsorption and spreading.

Animals

Anisotropy decays of single tryptophan proteins measured by GHz frequency-domain fluorometry with collisional quenching.

We used harmonic-content frequency-domain fluorometry to determine the anisotropy decays of a variety of single tryptophan peptides and proteins. Resolution of the rapid and complex anisotropy decays was enhanced by global analysis of the data measured in the presence of quenching by either oxygen or acrylamide. For each protein, and for each quencher, data were obtained at four to six quencher concentrations, and the data analyzed globally to recover the anisotropy decay. The decrease in decay times produced by quenching allows measurements to an upper frequency limit of 2 GHz. The chosen proteins provided a range of exposures of the tryptophan residues to the aqueous phase, these being ACTH, monellin, Staphylococcus nuclease and ribonuclease T1, in order of decreasing exposure. Examination of indole and several small peptides demonstrates the resolution limitations of the measurements; a correlation time of 12 ps was measured for indole in methanol at 40 degrees C. Comparison of the anisotropy decays of gly-trp-gly with leu-trp-leu revealed stearic effects of the larger leucine side chains on the indole ring. The anisotropy decay of gly-trp-gly revealed a 40 ps component for the indole side chain, which was resolved from the overall 150 ps correlation time of the tripeptide. Only the longer correlation time was observed for leu-trp-leu. With the exception of ribonuclease T1, each of the proteins displayed a subnanosecond component in the anisotropy decay which we assign to independent motions of the tryptophan residues. For example, Staphylococcus nuclease and monellin displayed segmental tryptophan motions with correlation times of 80 and 275 ps, respectively. The amplitudes of the rapid components increased with increasing exposure to the aqueous phase. These highly resolved anisotropy decays for proteins of known structure are suitable for comparison with molecular dynamic simulations.

Acrylamide

Relationship between ethanol-induced alterations in fluorescence anisotropy and adenylate cyclase activity.

The effects of butanol, ethanol, and ketamine on adenylate cyclase activity and fluorescence anisotropy were determined in membranes prepared from L6 cells. The experiments were designed to test the hypothesis that the effects of ethanol on adenylate cyclase activity are a consequence of ethanol-induced changes in bulk membrane order. Butanol and ethanol elicited concentration-dependent increases in adenylate cyclase activity and caused decreases in the fluorescence anisotropy of diphenylhexatriene. Butanol was more potent than ethanol in reducing fluorescence anisotropy, and it elicited a greater reduction in fluorescence anisotropy than did ethanol. Butanol was also more potent than ethanol in activating adenylate cyclase, but the highest concentration of butanol used caused a smaller increase in enzyme activity than did the highest concentration of ethanol. When the percent change in adenylate cyclase activity was plotted against the percent change in fluorescence anisotropy at each concentration of alcohol, the increase in isoproterenol-stimulated adenylate cyclase activity per unit change in fluorescence polarization was greater with ethanol than with butanol. Ketamine decreased fluorescence anisotropy but, unlike the alcohols, ketamine caused a decrease in adenylate cyclase activity. A reduction in assay temperature attenuated both the ethanol-induced activation of adenylate cyclase activity and the ethanol-induced reduction in fluorescence anisotropy. Although the data are consistent with the theory that ethanol acts upon a hydrophobic region of the membrane to enhance adenylate cyclase activity, activation of the enzyme does not appear to be a consequence of a decrease in bulk membrane order.

Adenylyl Cyclases

Microsecond rotational motions of eosin-labeled myosin measured by time-resolved anisotropy of absorption and phosphorescence.

We have studied submicrosecond and microsecond rotational motions within the contractile protein myosin by observing the time-resolved anisotropy of both absorption and emission from the long-lived triplet state of eosin-5-iodoacetamide covalently bound to a specific site on the myosin head. These results, reporting anisotropy data up to 50 microseconds after excitation, extend by two orders of magnitude the time range of data on time-resolved site-specific probe motion in myosin. Optical and enzymatic analyses of the labeled myosin and its chymotryptic digests show that more than 95% of the probe is specifically attached to sulfhydryl-1 (SH1) on the myosin head. In a solution of labeled subfragment-1 (S-1) at 4 degrees C, absorption anisotropy at 0.1 microseconds after a laser pulse is about 0.27. This anisotropy decays exponentially with a rotational correlation time of 210 ns, in good agreement with the theoretical prediction for end-over-end tumbling of S-1, and with times determined previously by fluorescence and electron paramagnetic resonance. In aqueous glycerol solutions, this correlation time is proportional to viscosity/temperature in the microsecond time range. Furthermore, binding to actin greatly restricts probe motion. Thus the bound eosin is a reliable probe of myosin-head rotational motion in the submicrosecond and microsecond time ranges. Our submicrosecond data for myosin monomers (correlation time 400 ns) also agree with previous results using other techniques, but we also detect a previously unresolvable slower decay component (correlation time 2.6 microseconds), indicating that the faster motions are restricted in amplitude. This restriction is not consistent with the commonly accepted free-swivel model of S-1 attachment in myosin. In synthetic thick filaments of myosin, both fast (700 ns) and slow (5 microseconds) components of anisotropy decay are observed. In contrast to the data for monomers, the anisotropy of filaments has a substantial residual component (26% of the initial anisotropy) that does not decay to zero even at times as long as 50 microseconds, implying significant restriction in overall rotational amplitude. This result is consistent with motion restricted to a cone half-angle of about 50 degrees. The combined results are consistent with a model in which myosin has two principal sites of segmental flexibility, one giving rise to submicrosecond motions (possibly corresponding to the junction between S-1 and S-2) and the other giving rise to microsecond motions (possibly corresponding to the junction between S-2 and light meromyosin).(ABSTRACT TRUNCATED AT 400 WORDS)

Animals

Hybridization of fluorescein-labeled DNA oligomers detected by fluorescence anisotropy with protein binding enhancement.

Fundamental aspects of the application of fluorescence anisotropy to detect the hybridization of fluorescein-labeled DNA oligomers were explored. The oligomers included a binding site for the EcoRI restriction enzyme, which binds to double-stranded DNA and is used in this work to enhance the difference between the anisotropies of the single-stranded and double-stranded oligomers by increasing the effective volume of the latter. The fluorescence anisotropy increases upon hybridization and further upon binding of EcoRI to the double strand. By varying the length of the tether used to attach the fluorescein to the 5' end of the oligonucleotide, it was found that a 6-carbon tether was optimal, providing the most dramatic increases in anisotropy in the presence of EcoRI. Dynamic fluorescence anisotropy (DFA) provided insight into the increases in steady-state anisotropy. In most cases, the best fits to the DFA data were obtained using a biexponential decay model, which describes an anisotropic rotator. Upon hybridization, the faster rotational motion is more hindered, and the contribution of the slower rotational component is increased. This effect is enhanced by binding of EcoRI to the double strand, especially when the EcoRI binding site is near the fluorescein at the 5' end and the tether length is in the optimal range. Because the rotational correlation time of the slower anisotropy decay component is much longer than the fluorescence lifetime, it is possible in some cases to reduce the anisotropic rotator model to the special limiting case of a hindered rotator.

Base Sequence

Effect of anisotropy of the bending rigidity on the supercoiling free energy of small circular DNAs.

In principle, the supercoiling free energy of a small circular DNA will be enhanced by increasing the anisotropy of its bending potential at constant persistence length. The magnitude of this effect is investigated by Monte Carlo simulation using an extension of a previously proposed algorithm. The supercoiling free energy at 298 K is simulated for circular DNAs containing N = bp with torsion constant alpha = 5.8 X 10(-12) dyne cm, persistence lengths P = 500 A and 10,000 A, and a range of anisotropies of the bending potential from rho = 1.0 to 16.0. The apparent torsion constants, reckoned from these supercoiling free energies by assuming an isotropic bending potential, are found to increase by less than 3% as the input anisotropy increases from 1.0 to 16.0 When P = 500 A, the apparent torsion constant never rises significantly above the input value over the entire range of input anisotropies. When P = 10,000 A, the apparent torsion constant rises only about 3% above the input value for anisotropies rho = 8.0 and 16.0. Evidently, anisotropy of the bending potential cannot account for the fact that the torsion constants reported for small circular DNAs exceed those reported for long linear DNAs by a factor of 1.6 or more.

Algorithms

Quantification of ultrasonic anisotropy in normal myocardium with lateral gain compensation of two-dimensional integrated backscatter images.

Anisotropy of ultrasonic scattering and attenuation in heart tissue depends on the specific orientation of myofibers with respect to angle of insonification. We used lateral gain compensation (LGC) to correct two-dimensional cardiac images for physiologic anisotropy. Normal hearts excised from three dogs and five pigs were insonified in a water tank with both 2.5 and 5.0 MHz phased-array transducers. Integrated backscatter was measured from a short-axis approach in the anterior wall perpendicular to the principal fiber axis, and in the septum parallel to the fiber axis. The gain in a vertical sector encompassing the septum was adjusted to compensate the image for anisotropy by matching the intensity of scattering from septal and anterior regions. The average gain required to compensate the septum for anisotropy was 16 dB at 2.5 MHz, and 20 dB at 5.0 MHz. Five healthy volunteers underwent imaging with a 2.5 MHz transducer from a parasternal short-axis view. The LGC required in vivo was approximately 16 dB at 2.5 MHz and was equivalent to that required for correction of septal anisotropy in excised hearts. Thus, normal myocardium exhibits substantial ultrasonic anisotropy that can be quantified and compensated for with clinically applicable tissue characterization techniques.

Animals

Inhomogeneity and anisotropies for motion detection in the monocular visual field of human observers.

Signal-to-noise-ratio (SNR) thresholds were measured for the detection of coherent motion in moving random pixel arrays of constant root-mean-square contrast (35%) and constant average luminance (48 cd/m2) for 8 or 16 directions of motion at 25 positions in the visual field of the right eye. Five observers took part in this perimetric study of motion detection. The 24 eccentric positions were chosen on 8 equally spaced radial lines at the eccentricities 6, 24, and 48 degrees, the 25th position was centred on the fovea. At these positions we analysed the threshold SNR-value as a function of motion direction alpha. A significant modulation of the threshold with alpha is called an anisotropy. Anisotropies were found for low to medium velocities at positions on and near the vertical meridian, where the thresholds proved to be highest for vertical motion directions (up or down). On the horizontal meridian no significant anisotropies were found. Also on the oblique radials anisotropies were found, especially at 225 degrees (lower nasal quadrant of the visual field, upper temporal quadrant of the retina), but these were milder than those on the vertical meridian. The diameter of the stimulus is an important parameter and its influence was explored, albeit incompletely. Also inhomogeneities were found. This is defined as a consistent modulation of the threshold SNR-value with position A, the position along an equi-eccentricity circle (A-inhomogeneity), or with eccentricity E (E-inhomogeneity) or both. A simple acuity-scaling optimized for the nasal retina takes care of most of the E-inhomogeneity, but an A-inhomogeneity stays rather prominent. It too is characterized by higher thresholds near the vertical meridian than near the horizontal meridian. The findings suggest that iso-threshold curves are elliptical or egg-shaped with their long axis on the horizontal meridian and shifted somewhat out of naso-temporal symmetry towards the nasal half of the retinal field. As with the anisotropies the inhomogeneity grows in amplitude for decreasing velocity below medium velocity values of 1-2 pixels/frame, but in contradistinction to the anisotropies it is present and even increases in amplitude for increasing velocities above these medium values of 1-2 pixels/frame as well. The results are discussed in the light of other perimetric studies of motion detection and acuity, in the light of a model postulating the cooperation of groups of velocity-tuned bilocal motion detectors, and in the light of recent ideas on structure and function of primate cortical areas and processing streams.

Adult

Fluorescence depletion measurements in various experimental geometries provide true emission and absorption anisotropies for the study of protein rotation.

Use of fluorescence depletion methods for measuring slow protein rotational diffusion has been limited by failure to obtain, from depletion data, well-defined anisotropy functions dependent on the distribution of either fluorophore emission or absorption transition dipoles, but not both. Such anisotropies would be directly comparable to those obtained from phosphorescence emission or triplet absorption measurements. We now describe such procedures applicable to cuvet and microscope experimental geometries, together with supporting experimental results. In cuvet measurements, the pump and probe beams are colinear and fluorescence is collected at 90 degrees to this axis. The data analysis procedure for this geometry has been suggested by Wegener (Biophys. J., 46 (1984) 795) and permits calculation of the absorption and emission anisotropies and the interdipole angle. In microscope experiments, fluorescence emission is collected along the pump/probe beam axis. For microscope measurements, a new experimental procedure permits evaluation of absorption and emission anisotropies when the interdipole angle is independently known. In either case multiple depletion measurements are required, each with different relative orientations of the probe beam polarization, pump beam polarization and emission polarizer axis. We have used these methods to calculate the time-dependent anisotropies for eosin-derivatized BSA rotation in glycerol solutions in both experimental geometries. These data correspond well with those obtained from time-resolved phosphorescence anisotropy measurements.

Chemistry, Physical

Enhanced resolution of fluorescence anisotropy decays by simultaneous analysis of progressively quenched samples. Applications to anisotropic rotations and to protein dynamics.

Enhanced resolution of rapid and complex anisotropy decays was obtained by measurement and analysis of data from progressively quenched samples. Collisional quenching by acrylamide was used to vary the mean decay time of indole or of the tryptophan fluorescence from melittin. Anisotropy decays were obtained from the frequency-response of the polarized emission at frequencies from 4 to 2,000 MHz. Quenching increases the fraction of the total emission, which occurs on the subnanosecond timescale, and thereby provides increased information on picosecond rotational motions or local motions in proteins. For monoexponential subnanosecond anisotropy decays, enhanced resolution is obtained by measurement of the most highly quenched samples. For complex anisotropy decays, such as those due to both local motions and overall protein rotational diffusion, superior resolution is obtained by simultaneous analysis of data from quenched and unquenched samples. We demonstrate that measurement of quenched samples greatly reduces the uncertainty of the 50-ps correlation time of indole in water at 20 degrees C, and allows resolution of the anisotropic rotation of indole with correlation times of 140 and 720 ps. The method was applied to melittin in the monomeric and tetrameric forms. With increased quenching, the anisotropy data showed decreasing contributions from overall protein rotation and increased contribution from picosecond tryptophan motions. The tryptophan residues in both the monomeric and the tetrameric forms of melittin displayed substantial local motions with correlation times near 0.16 and 0.06 ns, respectively. The amplitude of the local motion is twofold less in the tetramer. These highly resolved anisotropy decays should be valuable for comparison with molecular dynamics simulations of melittin.

Acrylamide

Effects of lateral diffusion on the fluorescence anisotropy in hexagonal lipid phases. I. Theory.

It is shown that fluorescence anisotropy from lipidlike probes in the hexagonal HII phase gives information of (a) orientational order parameters, (b) the wobbling diffusion constant, and (c) the hopping diffusion constant of the probe, DH, equals DL/R2, the lateral diffusion constant over the square of the radius of the hexagonal tubes. Here we consider only lipidlike probes having the absorption transition movement and/or the emission transition moment along the long axis of the molecule. Three models are introduced for analysis of time-resolved data: the "WOBHOP," the "reduced WOBHOP," and the "P2P4HOP" model. The fluorescence anisotropy in response to a very short excitation pulse in each of the three models is a constant plus a number of exponentials. The WOBHOP and reduced WOBHOP models have 3 and 2 exponentials, respectively, and both contain four fitting parameters: r0 (the fundamental anisotropy), (P2) (the second rank orientational order parameter), DW (the wobbling diffusion constant), and DH (the hopping diffusion constant). The P2P4HOP model has eight exponentials and five fitting parameters: the four parameters listed above and (P4) (the fourth rank orientational order parameter). Analysis of fluorescence anisotropy data in the hexagonal HII phase using one of these models allows for obtaining the hopping diffusion constant, and, if the lateral diffusion constant is known, the radius of the hexagonal tubes. Substitution of DH = 0 in each of the three models yields an expression for the fluorescence anisotropy that is used in the literature for lamellar (L alpha or L beta) phases. The fluorescence anisotropy in coexisting L alpha/HII phases is discussed.

Diffusion