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Rapid advances in fluorescence probe and imaging technologies now provide easily accessible tools for biologists to perform highly detailed analysis of molecular interactions in living cells. However it can be difficult to extract accurate parameters from these experiments because of the complex interplay of diffusion-reaction events with the morphology of the cell. As a result, only a small fraction of the available spatiotemporal information is utilized, and in many cases analysis remains at a qualitative level. The Virtual Cell (VCell, http://vcell.org) simulation environment is uniquely suited to analyzing these types of fluorescence imaging experiments because it is designed to solve reaction-diffusion equations within any given geometry [1]

Because sperm cannot synthesize new proteins as they journey to the egg, they use multiple mechanisms to modify the activity of existing proteins, including changes in the diffusion coefficient of some membrane proteins. Previously, we showed that during capacitation the guinea pig heterodimeric membrane protein ADAM1/ADAM2 (fertilin) transforms from a stationary state to one of rapid diffusion within the lipid bilayer. The cause for this biophysical change, however, was unknown. In this study we examined whether an increase in cAMP, such as occurs during capacitation, could trigger this change. We incubated guinea pig cauda sperm with the membrane-permeable cAMP analog dibutyryl cAMP (db-cAMP) and the phosphodiesterase inhibitor papaverine and first tested for indications of capacitation. We observed hypermotility and acrosome-reaction competence. We then used fluorescence redistribution after photobleaching (FRAP) to measure the lateral mobility of ADAM1/ADAM2 after the db-cAMP treatment. We observed that db-cAMP caused roughly a 12-fold increase in lateral mobility of ADAM1/ADAM2, yielding diffusion similar to that observed for sperm capacitated in vitro. When we repeated the FRAP on testicular sperm incubated in db-cAMP, we found only a modest increase in lateral mobility of ADAM1/ADAM2, which underwent little redistribution. Interestingly, testicular sperm also cannot be induced to undergo capacitation. Together, the data suggest that the release of ADAM1/ADAM2 from its diffusion constraints results from a cAMP-induced signaling pathway that, like others of capacitation, is established during epididymal sperm maturation.

Summary Membrane fusion during exocytosis requires that two initially distinct bilayers pass through a hemifused intermediate in which the proximal monolayers are shared. Passage through this intermediate is an essential step in the process of secretion, but is difficult to observe directly in vivo. Here we study membrane fusion in the sea urchin egg, in which thousands of homogeneous cortical granules are associated with the plasma membrane prior to fertilization. Using fluorescence redistribution after photobleaching, we find that these granules are stably hemifused to the plasma membrane, sharing a cytoplasmic-facing monolayer. Furthermore, we find that the proteins implicated in the fusion process—the vesicle-associated proteins VAMP/synaptobrevin, synaptotagmin, and Rab3—are each immobile within the granule membrane. Thus, these secretory granules are tethered to their target plasma membrane by a static, catalytic fusion complex that maintains a hemifused membrane intermediate.

Fertilin is a heterodimeric (subunits alpha and beta) sperm plasma membrane protein. Both subunits belong to the ADAM protein family of surface proteins that contain a disintegrin and a metalloprotease domain. Fertilin functions in sperm-egg fusion by binding the sperm to the egg plasma membrane via a binding site in the disintegrin domain of fertilin beta. On testicular sperm of guinea pig, fertilin is distributed on the plasma membrane over the entire sperm head, but is found only on the posterior head once sperm have passed through the epididymis. This redistribution of fertilin to the posterior head can be partially mimicked in vitro if testicular sperm are briefly treated with trypsin. In this study we used immunofluorescence and digital image analysis to analyze how fertilin becomes restricted to the posterior head. We found that fertilin became restricted to the posterior head by migration of anterior head fertilin molecules into the posterior head domain. Comparison of immunofluorescence patterns and immunoblots of fertilin from seven regions of the epididymis showed a temporal correlation between the beginning of fertilin's migration to the posterior head and the proteolytic processing of the full-length fertilin beta precursor (the 85-kDa pro-beta form) to a 75-kDa intermediate, pro-beta*. Completion of the migration coincided with the further cleavage of pro-beta* to the 25- to 28-kDa mature form. Our data suggest that the cleavage of fertilin pro-beta to pro-beta* may initiate fertilin's migration into the posterior head domain and, after localization to that membrane domain, pro-beta* is cleaved to mature beta. We also report evidence that a common mechanism may be used to change the localization pattern of other sperm surface molecules. Other surface proteins were shown to become localized to either the posterior or the anterior head membrane domains on sperm at the same time fertilin became localized to the posterior head. These restrictions of surface protein localizations were also shown to immediately precede the development of the sperm's ability to swim and undergo the acrosome reaction, and thus redistribution of surface proteins may be necessary before sperm become functional.

Analysis of the pH decrease and 3-phosphoglyceric acid (3PGA) accumulation in the forespore compartment of sporulating cells of Bacillus subtilis showed that the pH decrease of 1 to 1.2 units at approximately 4 h of sporulation preceded 3PGA accumulation, as observed previously in B. megaterium. These data, as well as analysis of the forespore pH decrease in asporogenous mutants of B. subtilis, indicated that sigma G-dependent forespore transcription, but not sigma K-dependent mother cell transcription, is required for the forespore pH decrease. Further analysis of these asporogenous mutants showed an excellent correlation between the forespore pH decrease and the forespore's accumulation of 3PGA. These latter results are consistent with our previous suggestion that the decrease in forespore pH results in greatly decreased activity of phosphoglycerate mutase in the forespore, which in turn leads to 3PGA accumulation. In further support of this suggestion, we found that (i) elevating the pH of developing forespores of B. megaterium resulted in rapid utilization of the forespore's 3PGA depot and (ii) increasing forespore levels of PGM approximately 10-fold in B. subtilis resulted in a large decrease in the spore's depot of 3PGA. The B. subtilis strain with a high phosphoglycerate mutase level sporulated, and the spores germinated and went through outgrowth normally, indicating that forespore accumulation of a large 3PGA depot is not essential for these processes.

Concentration correlation spectroscopy allows the assessment of molecular motions in complex systems. The technique generally monitors concentration fluctuations by means of some method such as the intensity of fluorescent molecules (fluorescence correlation spectroscopy). We describe here the use of scanning confocal laser microscopy to measure correlation functions in both space and time. This methodology offers two major advantages over conventional methods. First, collecting data from different regions of the sample significantly increases the signal-to-noise ratio. Second, molecular motions of colloidal gold can be analyzed by correlation methods with high temporal and spatial resolution. Using a MRC 600 laser scanning system, we collect data from an ensemble of 768 independent subvolumes and determine the space-time correlation function. We demonstrate the technique using two different types of samples, fluorescently labeled DNA molecules in solution and colloidal gold-tagged lipids in a planar bilayer. This approach, which we term "scanning concentration correlation spectroscopy," provides a straightforward means of performing high resolution correlation analysis of molecular motions with available instrumentation.

CE9 is a posterior-tail domain-specific integral plasma membrane glycoprotein of the rat testicular spermatozoon. During epididymal maturation, CE9 undergoes endoproteolytic processing and then redistributes into the anterior-tail plasma membrane domain of the spermatozoon (Petruszak, J. A. M., C. L. Nehme, and J. R. Bartles. 1991. J. Cell. Biol. 114:917-927). We have determined the sequence of CE9 and found it to be a Type Ia transmembrane protein identical to the MRC OX-47 T-cell activation antigen, a member of the immunoglobulin superfamily predicted to have two immunoglobulin-related loops and three asparagine-linked glycans disposed extracellularly. Although encoded by a single gene and mRNA in the rat, the majority of spermatozoal CE9 is of smaller apparent molecular mass than its hepatocytic counterpart due to the under-utilization of sites for asparagine-linked glycosylation. By fluorescence recovery after photobleaching, CE9 was determined to be mobile within the posterior-tail plasma membrane domain of the living rat testicular spermatozoon, thus implying the existence of a regional barrier to lateral diffusion that is presumed to operate at the level of the annulus. Through the development of an in vitro system, the modification of this diffusion barrier to allow for the subsequent redistribution of CE9 into the anterior-tail domain was found to be a time-, temperature-, and energy-dependent process.

Fluorescence microscopic examination coupled with digital videoimage analysis of 4',6-diamidino-2-phenylindole-stained sporulating cells of Bacillus megaterium or Bacillus subtilis revealed a striking condensation of the forespore nucleoid. While both mother cell and forespore compartments had equal amounts of DNA, the forespore nucleoid became greater than 2-fold more condensed than the mother cell nucleoid. The condensation of the forespore nucleoid began after only the first hour of sporulation, 2 to 3 h before expression of most forespore-specific genes including those for small, acid-soluble spore proteins, and was abolished in spo0 mutants but not in spoII or spoIII mutants. It is possible that this striking condensation of forespore DNA plays some role in modulating gene expression during sporulation.

The redistribution of membrane proteins on the surface of cells is a prevalent feature of differentiation in a variety of cells. In most cases the mechanism responsible for such redistribution is poorly understood. Two potential mechanisms for the redistribution of surface proteins are: (1) passive diffusion coupled with trapping, and (2) active translocation. We have studied the process of membrane protein redistribution for the PH-20 protein of guinea pig sperm, a surface protein required for sperm binding to the egg zona pellucida ( P. Primakoff, H. Hyatt, and D. G. Myles (1985). J. Cell Biol. 101, 2239–2244 ). PH-20 protein is localized to the posterior head plasma membrane of the mature sperm cell. Following the exocytotic acrosome reaction, PH-20 protein moves into the newly incorporated inner acrosomal membrane (IAM), placing it in a position favorable for a role in binding sperm to the egg zona pellucida ( D. G. Myles, and P. Primakoff (1984). J. Cell Biol. 99, 1634–1641 ). To analyze the mechanistic basis for this protein migration, we have used fluorescence microscopy and digital image processing to characterize PH-20 protein migration in individual cells. PH-20 protein was observed to move against a concentration gradient in the posterior head plasma membrane. This result argues strongly against a model of passive diffusion followed by trapping in the IAM, and instead suggests that an active process serves to concentrate PH-20 protein toward the boundary separating the posterior head and IAM regions. A transient gradient of PH-20 concentration observed in the IAM suggests that once PH-20 protein reaches the IAM, it is freely diffusing. Additionally, we observed that migration of PH-20 protein was calcium dependent.

Because sperm cannot synthesize new proteins as they journey to the egg, they use multiple mechanisms to modify the activity of existing proteins, including changes in the diffusion coefficient of some membrane proteins. Previously, we showed that during capacitation the guinea pig heterodimeric membrane protein ADAM1/ADAM2 (fertilin) transforms from a stationary state to one of rapid diffusion within the lipid bilayer. The cause for this biophysical change, however, was unknown. In this study we examined whether an increase in cAMP, such as occurs during capacitation, could trigger this change. We incubated guinea pig cauda sperm with the membrane-permeable cAMP analog dibutyryl cAMP (db-cAMP) and the phosphodiesterase inhibitor papaverine and first tested for indications of capacitation. We observed hypermotility and acrosome-reaction competence. We then used fluorescence redistribution after photobleaching (FRAP) to measure the lateral mobility of ADAM1/ADAM2 after the db-cAMP treatment. We observed that db-cAMP caused roughly a 12-fold increase in lateral mobility of ADAM1/ADAM2, yielding diffusion similar to that observed for sperm capacitated in vitro. When we repeated the FRAP on testicular sperm incubated in db-cAMP, we found only a modest increase in lateral mobility of ADAM1/ADAM2, which underwent little redistribution. Interestingly, testicular sperm also cannot be induced to undergo capacitation. Together, the data suggest that the release of ADAM1/ADAM2 from its diffusion constraints results from a cAMP-induced signaling pathway that, like others of capacitation, is established during epididymal sperm maturation..

Mating yeast cells provide a genetically accessible system for the study of cell fusion. The dynamics of fusion pores between yeast cells were analyzed by following the exchange of fluorescent markers between fusion partners. Upon plasma membrane fusion, cytoplasmic GFP and DsRed diffuse between cells at rates proportional to the size of the fusion pore. GFP permeance measurements reveal that a typical fusion pore opens with a burst and then gradually expands. In some mating pairs, a sudden increase in GFP permeance was found, consistent with the opening of a second pore. In contrast, other fusion pores closed after permitting a limited amount of cytoplasmic exchange. Deletion of FUS1 from both mating partners caused a >10-fold reduction in the initial permeance and expansion rate of the fusion pore. Although fus1 mating pairs also have a defect in degrading the cell wall that separates mating partners before plasma membrane fusion, other cell fusion mutants with cell wall remodeling defects had more modest effects on fusion pore permeance. Karyogamy is delayed by >1 h in fus1 mating pairs, possibly as a consequence of retarded fusion pore expansion.

Bacterial spores of various Bacillus species are impermeable or exhibit low permeability to many compounds that readily penetrate germinated spores, including methylamine. We now show that a lipid probe in the inner membrane of dormant spores of Bacillus megaterium and Bacillus subtilis is largely immobile, as measured by fluorescence redistribution after photobleaching, but becomes free to diffuse laterally upon spore germination. The lipid immobility in and the slow permeation of methylamine through the inner membrane of dormant spores may be due to a significant (1.3- to 1.6-fold) apparent reduction of the membrane surface area in the dormant spore relative to that in the germinated spore, but is not due to the dormant spore's high levels of dipicolinic acid and divalent cations.

Fluorescence redistribution after photobleaching has been used to show that a cytoplasmic GFP fusion is immobile in dormant spores of Bacillus subtilis but becomes freely mobile in germinated spores in which cytoplasmic water content has increased ≈2-fold. The GFP immobility in dormant spores is not due to the high levels of dipicolinic acid in the spore cytoplasm, because GFP was also immobile in germinated cwlD spores that had excreted their dipicolinic acid but where cytoplasmic water content had only increased to a level similar to that in dormant spores of several other Bacillus species. The immobility of a normally mobile protein in dormant wild-type spores and germinated cwlD spores is consistent with the lack of metabolism and enzymatic activity in these spores and suggests that protein immobility, presumably due to low water content, is a major reason for the metabolic dormancy of spores of Bacillus species.

The guinea pig sperm protein fertilin functions in sperm–egg plasma membrane binding. Fertilin is initially present in the plasma membrane of the whole head in testicular sperm, then becomes concentrated into the posterior head domain during epididymal passage. Fertilin remains localized to the posterior head plasma membrane following the acrosome reaction, when it functions in sperm–egg interaction. Fluorescence redistribution after photobleaching was used to examine the lateral mobility of fertilin in both acrosome-intact and acrosome-reacted sperm. Fertilin exhibited highly restricted lateral mobility in both testicular and epididymal sperm (D −10 cm 2 /s). However, fertilin in acrosome-reacted sperm was highly mobile within the membrane bilayer (D = 1.8 × 10 −9 cm 2 /s and % R = 84). Measurement of the lateral mobility of fertilin in capacitated, acrosome-intact sperm revealed two populations of cells. In approximately one-half of the cells, lateral mobility of fertilin was similar to sperm freshly isolated from the cauda epididymis; while in the other half fertilin was highly mobile. The release of fertilin from interactions that restrict its lateral mobility may regulate its function in sperm–egg interaction.

The intracellular distribution of various components of the protein translational machinery was visualized in mouse oligodendrocytes in culture using high resolution fluorescence in situ hybridization and immunofluorescence in conjunction with dual channel confocal laser scanning microscopy. Arginyl-tRNA synthetase, elongation factor 1a, ribosomal RNA, and myelin basic protein mRNA were all co-localized in granules in the processes, veins and membrane sheets of the cell. Colocalization was evaluated by dual channel cross correlation analysis to determine the correlation index (% colocalization) and correlation distance (granule radius), and by single granule ratiometric analysis to determine the distribution of the different components in individual granules. Most granules contained synthetase, elongation factor, ribosomal RNA and myelin basic protein mRNA. These results indicate that several different components of the protein synthetic machinery, including aminoacyl-tRNA synthetases, elongation factors, ribosomes and mRNAs, are colocalized in granules in oligodendrocytes. We propose that these granules are supramolecular complexes containing all of the necessary macromolecular components for protein translation and that they represent a heretofore undescribed subcellular organization of the protein synthetic machinery. This spatial organization may increase the efficiency of protein synthesis and may also provide a vehicle for transport and localization of specific mRNAs within the cell.

During spermiogenesis in the guinea pig, the spermatid plasma membrane becomes sequentially segregated into three domains of distinct composition. We have previously shown that plasma membrane proteins appear on the cell surface in a temporally regulated manner such that proteins localized to the same domain reach the surface membrane at the same time in sperm development. Fertilin is a cell surface protein restricted to the whole head of testicular sperm; like other proteins restricted to this membrane domain, it does not appear on the cell surface until late (steps 11-13) in spermiogenesis. Using confocal microscopy of immunofluorescently labeled testicular sections, we demonstrate that the pre-β subunit of fertilin is present in pachytene spermatocytes. It is initially observed in long, strand-like structures that likely represent the endoplasmic reticulum; it later appears in a punctate distribution in the cytoplasm of early spermatids prior to its appearance on the surface membrane in late elongating spermatids. Immunoblotting experiments confirm the presence of the fertilin pre-β subunit in spermatocytes and early spermatids at the same apparent molecular weight as in later stages. These results suggest that the appearance of fertilin pre-β subunit on the spermatid surface is regulated by a post-translational mechanism.

On terminally differentiated sperm cells, surface proteins are segregated into distinct surface domains that include the anterior and posterior head domains. We have analyzed the formation of the anterior and posterior head domains of guinea pig sperm in terms of both the timing of protein localization and the mechanism(s) responsible. On testicular sperm, the surface proteins PH-20, PH-30 and AH-50 were found to be present on the whole cell (PH-20) or whole head surface (PH-30, AH-50). On sperm that have completed differentiation (cauda epididymal sperm), PH-20 and PH-30 proteins were restricted to the posterior head domain and AH-50 was restricted to the anterior head domain. Thus these proteins become restricted in their distribution late in sperm differentiation, after sperm leave the testis. We discovered that the differentiation process that localizes these proteins can be mimicked in vitro by treating testicular sperm with trypsin. After testicular sperm were treated with 20 micrograms/ml trypsin for 5 min at room temperature, PH-20, PH-30, and AH-50 were found localized to the same domains to which they are restricted during in vivo differentiation. The in vitro trypsin-induced localization of PH-20 to the posterior head mimicked the in vivo differentiation process quantitatively as well as qualitatively. The quantitative analysis showed the process of PH-20 localization involves the migration of surface PH-20 from other regions to the posterior head domain. Immunoprecipitation experiments confirmed that there is protease action in vivo on the sperm surface during the late stages of sperm differentiation. Both the PH-20 and PH-30 proteins were shown to be proteolytically cleaved late in sperm differentiation. These findings strongly implicate proteolysis of surface molecules as an initial step in the mechanism of formation of sperm head surface domains.

SUMMARY The method of cumulants has been applied to digital video fluorescence microscopy. The method is used to reconstruct the distribution of fluorescent molecules before the initiation of fluorescence photobleaching, and to characterize heterogeneous photobleaching by imaging one or more of the cumulants of the bleaching decay rate. Using the pipelined pixel processor of the image analysis system for the bulk of the calculations, rather than the general-purpose host-computer CPU, the video kinetics imaging can be performed in near real-time. The method is applied to chick embryo myotubes labelled with fluorescein-conjugated α-bungarotoxin. The pre-bleach fluorescence distribution is derived, and the image of fluorescein fluorescence is separated from glutaraldehyde-induced autofluorescence on the basis of the spatially resolved average photobleaching decay rate.

The diffusion coefficients (D) of lipopolysaccharide, phospholipid, and Escherichia coli matrix protein were determined in reconstituted multibilayer membranes. Over a range of protein concentration of 0--60% by weight, D for lipopolysaccharide decreased 10-fold, whereas D for phospholipid remained essentially constant. The diffusion coefficient of matrix protein at a concentration of 50% was less than or equal to 10(-12) cm2 s-1. These results are discussed in terms of a model for diffusion in polymeric networks.

The lateral mobility of fluorescein-labeled membrane glycoproteins was measured in whole unlysed erythrocytes and erythrocyte ghosts by the technique of “fluorescence redistribution after fusion.” Measurements were made on polyethylene glycol-fused cell pairs in which only one member of the couplet was initially fluorescently labeled. Diffusion coefficients were estimated from the rate of fluorescence redistribution determined from successive scans with a focused laser beam across individual fused pairs. This technique allows for the analysis of diffusion within cell membranes without the possible damaging photochemical events caused by photobleaching. It was found that lateral mobility of erythrocyte proteins can be increased by the addition of polyphosphates (i.e., ATP and 2,3-diphosphoglycerate) and decreased by the addition of organic polyamines (i.e., neomycin and spermine). This control is exerted by these molecules only when they contact the cytoplasmic side of the membrane and is not dependent upon high-energy phosphates. Microviscosity experiments employing diphenylhexatriene demonstrated no changes in membrane lipid state as a function of these reagents. Our results, in conjunction with data on the physical interactions of cytoskeletal proteins, suggest that the diffusion effector molecules alter the lateral mobility of erythrocyte membrane proteins through modifications of interactions in the shell, which is composed of spectrin, actin, and component 4.1.

The authors consider the statistical properties of coherent light Rayleigh-scattered by a solution containing an arbitrary number N of independent, identical particles. Expressions are obtained for the single-interval intensity probability distribution and the moments of this distribution, which are equivalent to the measurable photocount factorial moments.

Visible light irradiation of fluoresceinated concanavalin A (f-Con A) bound to the outside of resealed erythrocyte membranes caused crosslinking of as much as 50% of the membrane proteins. Crosslinking was absent in controls in which equivalent amounts of f-Con A were added to the membranes but prevented from binding by the presence of 10 mM alpha-methylmannoside. The photodamage was not accompanied by a change in the membrane permeability barrier or membrane shape. Although fluorescein bleaching accompanies the formation of protein aggregates, the amount of aggregated protein is not simply a function of the number of fluoresceins bleached. The percentage of aggregated protein decreases when the same dose of light is given in a shorter time. Although certain antioxidants and free-radical scavengers had no detected effect on the crosslinking, reducing agents such as cysteamine and reduced glutathione either blocked or reversed the protein crosslinking. The mechanism of photoinduced oxidation and the implications of these results for fluorescence studies of cell membranes are discussed.

A theoretical analysis is presented for the interrelated effects of lateral diffusion and a simple form of molecular association (A + B in equilibrium with C) in biological membranes. Expression are derived for the characteristic functions measured in fluorescence redistribution after photobleaching experiments, corresponding to both the Fourier transform analysis of concentration in a plane and the normal mode analysis for a spherical surface. The results are related to the reputed binding of integral membrane proteins to submembranous cytoskeletal elements.

A detailed theory has been derived to evaluate the efficiency of nonradiative transfer of electronic excitation energy between nonassociated membrane-bound chromophores. Two different approaches are presented and shown to lead to identical numerical results. In the first of these the efficiency of transfer is computed from the decay with time of the donor excited state. In the second approach, the efficiency is calculated directly, demonstrating that to a high degree of accuracy the array of acceptors can be represented as consisting of a single nearest acceptor plus a continuum of secondary acceptors. A general expression is derived for the dipole-dipole orientation factor as a function of the position of an acceptor. It is shown that, by invoking the range of orientations that must be present at the very least in a particular case, the expected values of transfer efficiency may be limited to a relatively narrow band of uncertainty about those predicted for total randomization. In the limit of total randomization, the theory reduces to functions of but two dimensionless parameters: an effective number of acceptors and a normalized distance of closest approach, a parameter which in turn is a function of an excluded surface area and the depth in the membrane of a donor relative to that of an acceptor. Finally, data analysis procedures are presented whereby one can determine the surface density of acceptors for a known geometry or, alternatively, determine the distance of closest approach for known surface densities.

Lateral diffusion coefficients of fluorescently labeled lipids and integral membrane proteins were determined in the membranes of normal and spectrin-deficient spherocytic mouse erythrocytes by the technique of fluorescence redistribution after photobleaching. The results were used to generate a mathematical description of a matrix-control model of membrane protein diffusion. In the spherocytic cells, which lack the principal components of the cytoskeletal matrix of normal cells, the diffusion coefficients of lipid (1.5 +/- 0.5 X 10(-8) cm2/s) and protein (2.5 +/- 0.6 X 10(-9) cm2/s) differ only by a factor of 6, close to the difference predicted on the basis of size by the two-dimensional bilayer continuum model of Saffman and Delbrück [Saffman, P. G. l& Delbrück, M. (1975) Proc. Natl. Acad. Sci. USA 72, 3111-3113]. In contrast, the membranes of normal cells show a lipid diffusion coefficient (1.4 +/- 0.5 X 10(-8) cm2/s) that is some 300-fold greater than that of the membrane proteins (4.5 +/- 0.8 X 10(-11) cm2/s). Analysis of these results, based on the hypothesis that protein diffusion in normal membranes is sterically hindered by a labile matrix, yields an effective matrix surface viscosity consistent with the viscoelastic mechanical properties of the membranes. Thus, a relationship is established between the deformation characteristics of the membrane and the lateral mobility of proteins suspended in the membrane.

The first order electric field correlation function of laser light scattered by polydisperse solutions of macromolecules can be written as a sum or distribution of exponentials, with decay rates proportional to the diffusion coefficients of the solute molecules. It is shown that the logarithm of this correlation function is formally equivalent to a cumulant generating function. A method is described by which the distribution function of the decay rates (and thus the extent of polydispersity) can be characterized, in a light scattering experiment, by calculation of the moments or cumulants. The systematic and random statistical errors in the calculated cumulants are discussed.

The theoretical treatment of clipped photocount autocorrelation of Gaussian light, introduced by Jakeman and Pike, has been extended to include the effects of finite‐duration sampling intervals and incomplete spatial coherence. A system of ``interval partitioning'' is used to derive theoretical expressions for 〈Nq(0)N(τ)〉 and 〈N0(0) N0(τ)〉, the single‐ and double‐clipped photocount autocorrelation functions. Here N(t) is the number of photons detected in a sampling interval centered at t and Nq(t) is the clipped count at level q. Each original interval is systematically partitioned in space and time. Multidimensional generating functions are applied to the sets of subintervals with the object of expressing g(1) (t), the first‐order field correlation function, in terms of measurable quantities. It is shown that under certain well‐defined conditions, 〈Nq(0) N(τ)〉−〈Nq〉〈N〉=γq|g(1)(τ)|2 and 〈1−N0〉−2−[1−2〈N0〉+〈N0(0)N0(τ)〉]−1=φ|g(1)(τ)|2, where, for a given set of experimental parameters, γq and φ can be taken a...

Normal nonnucleated erythrocytes subjected to continuous hydrodynamic shear exhibit membrane deformation or "tanktreading," a process important for reduction of the bulk viscosity of circulating blood. To characterize the effect of this unique process on the erythrocyte membrane we have measured the lateral diffusion of band 3 during tanktreading. Band 3 is normally constrained through interactions with the spectrin-actin cytoskeleton, therefore, any significant disruption of these interactions would result in alterations in band 3 dynamics. Band 3 of human erythrocytes was labeled with dichlorotriazinyl amino fluorescein. After laser photobleaching of an equatorial stripe, fluorescence images were recorded from cells in the presence or absence of shear. The amplitude of induced nonuniformity in the surface distribution of fluorescence was calculated directly from images of unsheared cells. In shear the bleached line rotated with the tanktreading motion of the cells. The surface integral of fluorescence oscillated with this motion. For this case, the amplitude of photobleaching-induced nonuniformity was defined as the amplitude at the fundamental frequency of fast Fourier transforms in time of the oscillations. Shear stress-induced membrane flow did not interrupt the linkage of band 3 with the erythrocyte cytoskeleton. Diffusion coefficient and mobile fraction (1.5 +/- 0.5 x 10(-10) cm2/s and 54 +/- 11%, respectively) were unaffected by shear. The rate of fluorescence recovery of cells in shear was also similar at the centers and at the edges, where in-plane shear forces are maximal.

The plasma membrane of the mature guinea pig sperm is segregated into at least four domains of different composition. Previous studies have shown that some proteins localized within these domains are free to diffuse laterally, suggesting that barriers to protein diffusion are responsible for maintaining the nonuniform distribution of at least some surface proteins in mature sperm. The different membrane domains appear sequentially during sperm morphogenesis in the testis and during later passage through the epididymis. To determine when diffusion barriers become functional during sperm development, we examined the diffusion of two proteins that are expressed on the cell surface of developing spermatids and become segregated to different plasma membrane domains during the course of spermiogenesis. Both proteins exhibited rapid lateral diffusion throughout spermiogenesis, even after they become localized to specific regions of the surface membrane. These results suggest that barriers to membrane diffusion form concomitantly with membrane domains during spermiogenesis.

Gram-negative enteric bacteria are enveloped by two membrane systems1. The inner or cytoplasmic membrane is responsible for the major metabolic functions including biosyn-thetic activities2, while the major known functions of the outer membrane are primarily physical: it contains receptors for bacteriophages and bacteriocins3; it contributes to the maintenance of cell shape4; and it controls access of nutrient solutes and agents such as antibiotics and detergents to the cytoplasmic membrane5. Several investigations have indicated that mobility of membrane components, particularly lipopolysaccharide5,6, is essential for biogenesis of the outer membrane7,8, and is a primary event in phage infection9,10. To define more accurately the fluid dynamic properties of the outer membrane as related to function, we have now developed the capability to measure lateral diffusion coefficients in vivo of rhodaminated G30 lipo-polysaccharide fused into Salmonella typhimurium G30A filamentous bacteria. The method used extends the FRAP procedure (fluorescence redistribution after photobleaching)11,12 to bacteria and the results demonstrate rapid diffusion of lipopolysaccharide (D = 2.0 ± 0.9 × 10−10 cm2 s−1) over micrometre distances.

Alterations of glycoprotein distribution and lateral mobility in cell membranes can provide transmembrane signals for several membrane-related phenomena. Control of the transmembranous events has been ascribed to interaction between submembranous protein matrices (or 'cytoskeletons') and membrane glycoproteins. A consequence of such interaction would be differential inhibition of protein lateral diffusion in biological membranes. Measurements of the lateral diffusion coefficients of membrane proteins, in fact, have generally yielded values much less than were predicted for unhindered diffusion in a fluid bilayer. The mouse spherocytic erythrocyte, which lacks the major components of the normal erythrocyte membrane matrix (composed of spectrin, actin, bands 4.1 and 4.9 (ref. 16), in the nomenclature of Fairbanks et al.), provides a unique system for a direct evaluation of the effect of the matrix on protein lateral mobility. After using a modification of the technique of fluorescence redistribution after photobleaching (FRAP), we report here that membrane proteins diffuse about 50 times faster in spherocytic than in normal mouse erythrocytes.

Fluorescence photobleaching recovery (FPR) denotes a method for measuring two-dimensional lateral mobility of fluorescent particles, for example, the motion of fluorescently labeled molecules in approximately 10 mum2 regions of a single cell surface. A small spot on the fluorescent surface is photobleached by a brief exposure to an intense focused laser beam, and the subsequent recovery of the fluorescence is monitored by the same, but attenuated, laser beam. Recovery occurs by replenishment of intact fluorophore in the bleached spot by lateral transport from the surrounding surface. We present the theoretical basis and some practical guidelines for simple, rigorous analysis of FPR experiments. Information obtainable from FPR experiments includes: (a) identification of transport process type, i.e. the admixture of random diffusion and uniform directed flow; (b) determination of the absolute mobility coefficient, i.e. the diffusion constant and/or flow velocity; and (c) the fraction of total fluorophore which is mobile. To illustrate the experimental method and to verify the theory for diffusion, we describe some model experiments on aqueous solutions of rhodamine 6G.

Fluorescence photobleaching recovery techniques allow the accurate quantification of lateral and rotational motions of small numbers of specific molecules in complex systems. The technique was first applied to the study of translational diffusion in cell plasma membranes (Peters et al., 1974). This continues to be the principal area of application. More recently, it has been extended to the study of macromolecular diffusion, binding and polymerization in solution (e.g Barisas & Leuther, 1979; Lanni et al., 1981; Icenogle & Elson, 1983), and in situ, in the cytoplasm of living cells (e.g. Wojcieszyn et al., 1981; Wang et af . , 1982; Salmon et al., 1984). Fluorescence photobleaching analysis of slow rotational motion has generated considerable theoretical interest (e.g. Koppel, 1983; Wegener & Rigler, 1984; Wegener, 1984) but few experimental results to date (Johnson & Garland, 1981; Smith et af . , 1981; Jovin, 1986). Features and capabilities of the technique, emphasizing the analysis of translational diffusion, will be illustrated in this report with recent data from mammalian sperm cells and erythrocyte membranes.

PH-20 protein on the plasma membrane (PH-20PM) is restricted to the posterior head of acrosome-intact guinea pig sperm. During the exocytotic acrosome reaction the inner acrosomal membrane (IAM) becomes continuous with the posterior head plasma membrane, and PH-20PM migrates to the IAM. There it joins a second population of PH-20 protein localized to this region of the acrosomal membrane (PH-20AM) (Cowan, A.E., P. Primakoff, and D.G. Myles, 1986, J. Cell Biol. 103:1289-1297). To investigate how the localized distributions of PH-20 protein are maintained, the lateral mobility of PH-20 protein on these different membrane domains was determined using fluorescence redistribution after photobleaching. PH-20PM on the posterior head of acrosome-intact sperm was found to be mobile, with a diffusion coefficient and percent recovery typical of integral membrane proteins (D = 1.8 X 10(-10) cm2/s; %R = 73). This value of D was some 50-fold lower than that found for the lipid probe 1,1-ditetradecyl 3,3,3',3'-tetramethylindocarbocyanine perchlorate (C14diI) in the same region (D = 8.9 X 10(-9) cm2/s). After migration to the IAM of acrosome-reacted sperm, this same population of molecules (PH-20PM) exhibited a 30-fold increase in diffusion rate (D = 4.9 X 10(-9) cm2/s; %R = 78). This rate was similar to diffusion of the lipid probe C14diI in the IAM (D = 5.4 X 10(-9) cm2/s). The finding of free diffusion of PH-20PM in the IAM of acrosome-reacted sperm supports the proposal that PH-20 is maintained within the IAM by a barrier to diffusion at the domain boundary. The slower diffusion of PH-20PM on the posterior head of acrosome-intact sperm is also consistent with localization by barriers to diffusion, but does not rule out alternative mechanisms.

A new approach is described for the analysis of lateral diffusion in biological membranes. It is shown that a suitably defined first moment of the concentration distribution on a spherical surface decays as a single exponential with a relaxation rate proportional to the diffusion coefficient and inversely proportional to the square of the radius of the sphere. The approach is illustrated with an example of fluorescence redistribution after photobleaching of membrane proteins in a spectrin-deficient spherocytic mouse erythrocyte membrane.

A variety of fluorescence techniques for the study of biological motion are described and discussed. We consider three basic strategies: time-resolved emission, fluorescence photobleaching, and fluorescence correlation spectroscopy. In the first of these, the sample is excited with pulses of light short compared to the excited singlet-state lifetime. Molecular motions over the time-scale of the excited state lifetime are characterized through their effects on the observed time-resolved fluorescence emission. In the fluorescence photobleaching technique, intense photobleaching pulses, short compared to the time-scale of the motion under study (but very long compared to the excited singlet-state lifetime), are used to selectively deplete the ground-state population. Molecular motions over times long compared to the excited singlet-state lifetime are characterized by measuring the “recovery” of fluorescence after photobleaching monitored with an attenuated CW light source. In fluorescence correlation spectroscopy, in contrast, the sample is illuminated only with the CW monitoring beam. Molecular motions over times long compared to the excited-state lifetime are characterized through calculations of the correlation function of the spontaneous, stochastic fluorescence intensity fluctuations about the ensemble average.

We have developed a method to measure the intramembrane position of the fluorescent tryptophanyl residue in whole cytochrome b5 and the nonpolar membrane binding segment when these molecules are bound to phospholipid vesicles [Koppel, D.E., Fleming, P., & Strittmatter, P. (1979) Biochemistry (preceding paper in this issue)]. The method utilizes excitation energy transfer from the donor tryptophanyl residue in the protein to trinitrophenyl or danysl acceptor groups on the surface of the phospholipid bilayer. It was determined that that single fluorescent tryptophanyl residue in vesicle-bound cytochrome b5 and the nonpolar segment is located approximately 20-22 A below the surface of the bilayer. This position represents a minimum depth of penetration of this portion of the cytochrome in the membrane.

During spermiogenesis and epididymal transit, proteins on the sperm surface become localized to specific domains. In at least one case (PH-20), the protein is initially inserted throughout the membrane and subsequently becomes restricted to a domain by some mechanism that has not yet been determined. Other proteins could become localized through localized insertion. The sperm surface is a dynamic structure that is altered even after the spermatozoon leaves the male. In the female reproductive tract the spermatozoa undergo capacitation and the acrosome reaction that enables them to fertilize the egg. Both of these processes are accompanied by alterations in protein localization: the PT-1 protein migrates during capacitation, and the PH-20 protein migrates after the acrosome reaction. In addition, an upregulation of the surface expression of PH-20 occurs during the acrosome reaction. This additional PH-20 is incorporated into the plasma membrane by the irreversible fusion of the acrosomal membrane with the plasma membrane. The acrosomal membrane contains PH-20 protein that has been stored there since the formation of the acrosome at the spermatid stage of spermiogenesis. Proteins that are freely diffusing must be maintained in a domain by a mechanism that does not involve immobilization or slowing of protein diffusion. We have suggested that barriers to membrane protein diffusion exist at the equatorial region, the posterior ring, and the annulus and that they are responsible for maintaining a localized distribution of at least some of the surface proteins. The migration of surface proteins could result from an alteration of these barriers, a change in the protein structure so that it can pass through the barrier, or active transport across the barrier. These observed changes in surface expression (localization and the level of expression) may be acting to control surface function post-testicularly.

The finding1 that the turnover of the anionic phospholipid, phosphatidylinositol (PI), increases with increased synaptic activity has long stimulated interest in the possible functional roles of this phospholipid and its phosphorylated products, phosphatidylinositol 4,5-biphosphate (triphosphoinositide or TPI) and phosphatidyl-myoinositol 4-phosphate (diphosphoinositide or DPI)2. TPI metabolism is altered by a variety of cellular stimuli2, but no specific function of the lipid has been identified. However, in many instances (see, for example, refs 3–6) a correlation has been observed between changes in PI metabolism and membrane structure. We have recently correlated membrane macro-viscosity with the lateral mobility of membrane glycoproteins7, and have shown that 2,3-diphosphoglycerate (2,3-DPG), which is similar in structure to TPI, increases glycoprotein lateral mobility8. We now report that TPI also increases the lateral mobility of glycoproteins when added to erythrocyte membranes, and suggest that TPI acts similarly to other polyanions by disrupting the erythrocyte membrane skeleton.

Using the technique of fluorescence redistribution after photobleaching, we are studying the cellular mechanisms involved in localizing surface molecules to particular domains. A number of antigens localized to discrete surface regions have been identified with monoclonal antibodies on guinea pig sperm cells ( Primakoff , P., and D. G. Myles , 1983, Dev. Biol., 98:417-428). One of these monoclonal antibodies, PT-1, binds exclusively to the posterior tail region of the sperm cell surface. PT-1 recognizes an integral membrane protein that in complex with n-octyl-beta-D-glucopyranoside has a sedimentation coefficient of 6.8S in sucrose density gradients. Fluorescence redistribution after photobleaching measurements reveal that within its surface domain the PT-1 antigen diffuses rapidly (D = 2.5 X 10(-9) cm2/s) and completely (greater than 90% recovery after bleaching). These results rule out for this membrane protein all models that invoke immobilization as a mechanism for maintaining localization. We propose that the mechanism for localization of the PT-1 antigen may be a barrier to diffusion at the domain boundary.

Fluorescence photobleaching does not alter the lateral mobility of erythrocyte membrane glycoproteins

A membrane bilayer pathway model has been proposed for the interaction of dihydropyridine (DHP) calcium channel antagonists with receptors in cardiac sarcolemma (Rhodes, D.G., J.G. Sarmiento, and L.G. Herbette. 1985. Mol. Pharmacol. 27:612–623) involving drug partition into the bilayer with subsequent receptor binding mediated (though probably not rate-limited) by diffusion within the bilayer. Recently, we have characterized the partition step, demonstrating that DHPs reside, on a time-average basis, near the bilayer hydrocarbon core/water interface. Drug distribution about this interface may define a plane of local concentration for lateral diffusion within the membrane. The studies presented herein examine the diffusional dynamics of an active rhodamine-labeled DHP and a fluorescent phospholipid analogue (DiIC16) in pure cardiac sarcolemmal lipid multibilayer preparations as a function of bilayer hydration. At maximal bilayer hydration, the drug diffuses over macroscopic distances within the bilayer at a rate identical to that of DiI (D = 3.8 X 10(-8) cm2/s), demonstrating the overall feasibility of the membrane diffusion model. The diffusion coefficients for both drug and lipid decreased substantially as the bilayers were dehydrated. While identical at maximal hydration, drug diffusion was significantly slower than that of DiIC16 in partially dehydrated bilayers, probably reflecting differences in mass distribution of these probes in the bilayer.