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The receptor tyrosine kinase (RTK) EphA2 is expressed in epithelial and endothelial cells and controls the assembly of cell-cell junctions. EphA2 has also been implicated in many diseases, including cancer. Unlike most RTKs, which signal predominantly as dimers, EphA2 readily forms higher order oligomers upon ligand binding. Here we investigated if a correlation exists between EphA2 signaling properties and the size of the EphA2 oligomers induced by multiple ligands, including the widely used ephrinA1-Fc ligand, the soluble monomeric m-ephrinA1, and novel engineered peptide ligands. We used Fluorescence Intensity Fluctuation (FIF) spectrometry to characterize the EphA2 oligomer populations induced by the different ligands. Interestingly, we found that different monomeric and dimeric ligands induce EphA2 oligomers with widely different size distributions. Comparison of FIF brightness distribution parameters and EphA2 signaling parameters reveals that the efficacy of EphA2 phosphorylation on tyrosine 588, which is indicative of receptor activation, correlates with EphA2 mean oligomer size. However, other characteristics, such as the efficacy of AKT inhibition and ligand bias coefficients, appear to be independent of EphA2 oligomer size. This work highlights the utility of FIF in RTK signaling research and demonstrates a quantitative correlation between the architecture of EphA2 signaling complexes and signaling features.

The quaternary organization of rhodopsin-like G protein-coupled receptors in native tissues is unknown. To address this we generated mice in which the M

The quaternary organization of rhodopsin-like G protein-coupled receptors in native tissues is unknown. To address this we generated mice in which the M 1 muscarinic acetylcholine receptor was replaced with a C-terminally monomeric enhanced green fluorescent protein (mEGFP)–linked variant. Fluorescence imaging of brain slices demonstrated appropriate regional distribution, and using both anti-M 1 and anti–green fluorescent protein antisera the expressed transgene was detected in both cortex and hippocampus only as the full-length polypeptide. M 1 -mEGFP was expressed at levels equal to the M 1 receptor in wild-type mice and was expressed throughout cell bodies and projections in cultured neurons from these animals. Signaling and behavioral studies demonstrated M 1 -mEGFP was fully active. Application of fluorescence intensity fluctuation spectrometry to regions of interest within M 1 -mEGFP–expressing neurons quantified local levels of expression and showed the receptor was present as a mixture of monomers, dimers, and higher-order oligomeric complexes. Treatment with both an agonist and an antagonist ligand promoted monomerization of the M 1 -mEGFP receptor. The quaternary organization of a class A G protein-coupled receptor in situ was directly quantified in neurons in this study, which answers the much-debated question of the extent and potential ligand-induced regulation of basal quaternary organization of such a receptor in native tissue when present at endogenous expression levels.

The receptor tyrosine kinase (RTK) EphA2 is expressed in epithelial and endothelial cells and controls the assembly of cell-cell junctions. EphA2 has also been implicated in many diseases, including cancer. Unlike most RTKs, which signal predominantly as dimers, EphA2 readily forms high-order oligomers upon ligand binding. Here, we investigated if a correlation exists between EphA2 signaling properties and the size of the EphA2 oligomers induced by multiple ligands, including the widely used ephrinA1-Fc ligand, the soluble monomeric m-ephrinA1, and novel engineered peptide ligands. We used fluorescence intensity fluctuation (FIF) spectrometry to characterize the EphA2 oligomer populations induced by the different ligands. Interestingly, we found that different monomeric and dimeric ligands induce EphA2 oligomers with widely different size distributions. Our comparison of FIF brightness distribution parameters and EphA2 signaling parameters reveals that the efficacy of EphA2 phosphorylation on tyrosine 588, an autophosphorylation response contributing to EphA2 activation, correlates with EphA2 mean oligomer size. However, we found that other characteristics, such as the efficacy of AKT inhibition and ligand bias coefficients, appear to be independent of EphA2 oligomer size. Taken together, this work highlights the utility of FIF in RTK signaling research and demonstrates a quantitative correlation between the architecture of EphA2 signaling complexes and signaling features.

Background: The growing evidence that G protein-coupled receptors (GPCRs) not only form oligomers but that the oligomers also may modulate the receptor function provides a promising avenue in the area of drug design. Highly selective drugs targeting distinct oligomeric sub-states offer the potential to increase efficacy while reducing side effects. In this regard, determining the various oligomeric configurations and geometric sub-states of a membrane receptor is of utmost importance. Methods: In this report, we have reviewed two techniques that have proven to be valuable in monitoring the quaternary structure of proteins in vivo: Fӧrster resonance energy transfer (FRET) spectrometry and fluorescence intensity fluctuation (FIF) spectrometry. In FRET spectrometry, distributions of pixel-level FRET efficiency are analyzed using theoretical models of various quaternary structures to determine the geometry and stoichiometry of protein oligomers. In FIF spectrometry, spatial fluctuations of fluorescent molecule intensities are analyzed to reveal quantitative information on the size and stability of protein oligomers. Results: We demonstrate the application of these techniques to a number of different fluorescence-based studies of cells expressing fluorescently labeled membrane receptors, both in the presence and absence of various ligands. The results show the effectiveness of using FRET spectrometry to determine detailed information regarding the quaternary structure receptors form, as well as FIF and FRET for determining the relative abundance of different-sized oligomers when an equilibrium forms between such structures. Conclusion: FRET and FIF spectrometry are valuable techniques for characterizing membrane receptor oligomers, which are of great benefit to structure‐based drug design.

While the notion that G protein-coupled receptors (GPCRs) associate into homo- and hetero-oligomers has gained more recognition in recent years, a lack of consensus remains among researchers regarding the functional relevance of GPCR oligomerization. A technique, Förster resonance energy transfer (FRET) spectrometry, allows for the determination of the oligomeric (or quaternary) structure of proteins in living cells via analysis of efficiency distributions of energy transferred from optically excited fluorescent tags acting as donors of energy to fluorescent tags acting as acceptors of energy and residing within the same oligomer. In this study, we significantly improved the resolution of FRET spectrometry to detect subtle differences in quaternary structures of GPCR oligomers within living cells. We then used this approach to study the conformational substates of oligomers of the sterile 2 α-factor receptor (Ste2), a class D GPCR found in the yeast

Here, we introduce fluorescence intensity fluctuation spectrometry for determining the identity, abundance and stability of protein oligomers. This approach was tested on monomers and oligomers of known sizes and was used to uncover the oligomeric states of the epidermal growth factor receptor and the secretin receptor in the presence and absence of their agonist ligands. This method is fast and is scalable for high-throughput screening of drugs targeting protein–protein interactions.

We report a successful attempt to derive a closed-form expression for the relaxation function of a complex system by solving a set of coupled kinetic equations connecting the excitation/de-excitation rates to the number of particles (such as electrical charges, dipoles, etc.) in excited states. Our approach, originating from developments in dielectric and mechanical relaxation studies, allows the use of a unified treatment for a wide array of natural processes which often pose challenges to theoretical modeling. We use the notions that (i) a dipole represents any pair formed by a particle in an excited state (such as an energy level in optically excited molecules, or an electrode in dielectric spectroscopy) and its image in the ground state (or reference electrode), that (ii) coupling between such dipoles may be described as particle transfer from one excited state to another with lower energy, and that (iii) the relaxation function for such a system of dipoles is mathematically equivalent to the cumulative distribution function of particles, i.e., the total number of particles that are still in an excited state at a time t following excitation. Taken together, these ideas naturally lead to the identification of two types of relaxation – parallel and serial relaxation – and allow one to tackle systems with either geometrical or physical self-similarity within a unified mathematical scheme.

Fluorescence micrographs of the plasma membrane of cells expressing fluorescently labeled G protein-coupled receptors (GPCRs) often exhibit small clusters of pixels (or puncta) with intensities that are higher than those of the surrounding pixels. Although studies of GPCR interactions in uniform membrane areas abound, understanding the details of the GPCR interactions within such puncta as well as the nature of the membrane formations underlying the puncta is hampered by the lack of adequate experimental techniques. Here, we introduce an enhancement of a recently developed method termed fluorescence intensity fluctuation spectrometry, which permits analysis of protein-protein interactions within the puncta in live cell membranes. We applied the novel fluorescence intensity fluctuation data analysis protocol to previously published data from cells expressing human secretin receptors and determined that the oligomer size increases with receptor concentration and duration of treatment with cognate ligand, not only within uniform regions of the membrane (in agreement with previous publications) but also within the puncta. In addition, we found that the number density and fractional area of the puncta increased after treatment with ligand. This method could be applied for probing the evolution in the time of the chain of events that begins with ligand binding and continues with coated pits formation and receptor internalization for other GPCRs and, indeed, other membrane receptors in living cells.

The emergence of an epidemic evokes the need to monitor its spread and assess and validate any mitigation measures enacted by governments and administrative bodies in real time. We present here a method based on previous models of relaxation in fractal structures to observe and quantify this spread and the response of affected populations and governing bodies, and apply it to COVID-19 as a case study. This method provides means to simultaneously track in real time quantities such as the mortality and the recovery rates as well as the number of new infections caused by an infected person. With sufficient data, this method enables thorough monitoring and assessment of an epidemic without ad-hoc assumptions regarding the evolution of the pandemic in the future.

CXCR4, a member of the family of chemokine-activated G protein-coupled receptors, is widely expressed in immune response cells. It is involved in both cancer development and progression as well as viral infection, notably by HIV-1. A variety of methods, including structural information, have suggested that the receptor may exist as a dimer or an oligomer. However, the mechanistic details surrounding receptor oligomerization and its potential dynamic regulation remain unclear. Using both biochemical and biophysical means, we confirm that CXCR4 can exist as a mixture of monomers, dimers, and higher-order oligomers in cell membranes and show that oligomeric structure becomes more complex as receptor expression levels increase. Mutations of CXCR4 residues located at a putative dimerization interface result in monomerization of the receptor. Additionally, binding of the CXCR4 antagonist IT1t-a small drug-like isothiourea derivative-rapidly destabilizes the oligomeric structure, whereas AMD3100, another well-characterized CXCR4 antagonist, does not. Although a mutation that regulates constitutive activity of CXCR4 also results in monomerization of the receptor, binding of IT1t to this variant promotes receptor dimerization. These results provide novel insights into the basal organization of CXCR4 and how antagonist ligands of different chemotypes differentially regulate its oligomerization state.

While the notion that G protein-coupled receptors (GPCRs) associate into homo- and hetero-oligomers has gained more recognition in recent years, a lack of consensus remains among researchers regarding the functional relevance of GPCR oligomerization. A relatively recent technique, Förster resonance energy transfer (FRET) spectrometry, allows for the determination of the oligomeric (or quaternary) structure of proteins in living cells via analysis of efficiency distributions of energy transferred from optically excited fluorescent tags acting as donors of energy to fluorescent tags acting as acceptors of energy and residing within the same oligomer. In this study, we significantly improved the resolution of the FRET-spectrometry approach to detect small differences between the interprotomeric distances among GPCR oligomers with subtle differences in quaternary structures. We then used this approach to study the conformational substates of oligomers of sterile 2 α-factor receptor (Ste2), a class D GPCR found in the yeastSaccharomyces cerevisiaeof mating typea. Ste2 has previously been shown to form tetrameric oligomers at relatively low expression levels (between 11 and 140 molecules/μm2) in the absence of its cognate ligand, the α-factor pheromone. The significantly improved FRET spectrometry technique allowed us to detect multiple distinct quaternary conformational substates of Ste2 oligomers, and to assess how the α-factor ligand altered the proportion of such substates. The ability to determine quaternary structure substates of GPCRs provides exquisite means to elucidate functional relevance of GPCR oligomerization.

Investigations of static or dynamic interactions between proteins or other biological macromolecules in living cells often rely on the use of fluorescent tags with two different colors in conjunction with adequate theoretical descriptions of Förster Resonance Energy Transfer (FRET) and molecular-level micro-spectroscopic technology. One such method based on these general principles is FRET spectrometry, which allows determination of the quaternary structure of biomolecules from cell-level images of the distributions, or spectra of occurrence frequency of FRET efficiencies. Subsequent refinements allowed combining FRET frequency spectra with molecular concentration information, thereby providing the proportion of molecular complexes with various quaternary structures as well as their binding/dissociation energies. In this paper, we build on the mathematical principles underlying FRET spectrometry to propose two new spectrometric methods, which have distinct advantages compared to other methods. One of these methods relies on statistical analysis of color mixing in subpopulations of fluorescently tagged molecules to probe molecular association stoichiometry, while the other exploits the color shift induced by FRET to also derive geometric information in addition to stoichiometry. The appeal of the first method stems from its sheer simplicity, while the strength of the second consists in its ability to provide structural information.

Understanding the photophysical properties of fluorescent proteins (FPs), such as emission and absorption spectra, molecular brightness, photostability, and photo-switching, is critical to the development of criteria for their selection as tags for fluorescent-based biological applications. While two-photon excitation imaging techniques have steadily gained popularity - due to comparatively deeper penetration depth, reduced out-of-focus photobleaching, and wide separation between emission spectra and two-photon excitation spectra -, most studies reporting on the photophysical properties of FPs tend to remain focused on single-photon excitation. Here, we report our investigation of the photophysical properties of several commonly used fluorescent proteins using two-photon microscopy with spectral resolution in both excitation and emission. Our measurements indicate that not only the excitation (and sometimes emission) spectra of FPs may be markedly different between single-photon and two-photon excitation, but also their relative brightness and their photo-stability. A good understanding of the photophysical properties of FPs under two-photon excitation is essential for choosing the right tag(s) for a desired experiment.

Relaxation in fractal structures was investigated theoretically starting from a simple model of a Cantorian tree and kinetic equations linking the change in the number of particles (e.g., electrical charges) populating each branch of the tree and their transfer to other branches or to the ground state. We numerically solved the system of differential equations obtained and determined the so-called cumulative distribution function of particles, which, in dielectric or mechanical relaxation parlance, is the same as the relaxation function of the system. As a physical application, we studied the relationship between the dielectric relaxation in time-domain and the dielectric dispersion in the frequency-domain. Upon choosing appropriate rate constants, our model described accurately well-known non-exponential and non-Debye time- and frequency-domain functions, such as stretched exponentials, Havrilliak–Negami, and frequency power law. Our approach opens the door to applying kinetic models to describe a wide array of relaxation processes, which traditionally have posed great challenges to theoretical modeling based on first principles.

The resistance of methicillin-resistant Staphylococcus aureus to antibiotics presents serious clinical problems that prompted the need for finding alternative or combination therapies. One such therapy is irradiation with blue light. To determine the alterations in metabolic processes implicated in the observed antimicrobial effects of blue light, we investigated the changes in membrane potential and the presence of free-radical-producing photo-acceptor molecules. Bacterial cultures irradiated with one or two doses of 405nm laser light (each consisting of 121J/cm2) were imaged with spectrally resolved laser-scanning microscopes to detect endogenous fluorescent species as well as the voltage sensitive dye 3,3'-Diethyloxacarbocyanine iodide. The endogenous fluorescence indicated the presence of photosensitizers (i.e., porphyrins, NADH, FAD) in the cells, while the exogenous signal allowed us to monitor rapid changes in transmembrane potential following treatment with light. The changes were drastic within the first 5min after irradiation with the first dose and continued slowly after the second irradiation. These results suggest that the early antimicrobial activity of blue light results from alteration of membrane integrity with a consequent decrease in membrane polarization and rapid alteration of vital cellular functions. The observation of an early antimicrobial activity of light is very encouraging, as it suggests that treatment does not necessarily have to be administered over a long period of time.

Annibale and Lohse have recently suggested a way1 in which the two-dimensional fluorescence intensity fluctuation (2D FIF) spectrometry2 may be further refined. Their main suggestion is to include a step in the analysis process where a case-by-case inspection of individual regions of interest of a membrane allows for selection of portions of the membrane which are “as homogenous as possible” and thereby exclude intensity spots potentially related to other sub-cellular structures. By incorporating that proposal into an objective and reproducible algorithm, here we show that 2D FIF has a built-in capability to automatically filter out such contributions, and that further removal of inhomogeneities does not alter the final results.

Current methods for determining membrane protein association in cells are either very time consuming, require complicated procedures, or lack the sensitivity needed to assess the effect of concentration or ligand binding on the observed oligomerization. To overcome these limitations, we provide a detailed protocol for quantifying the relative abundance and stability of oligomers of differing sizes using two-dimensional fluorescence intensity fluctuation (2D-FIF) spectrometry. The approach can be implemented using a standard laser scanning fluorescence microscope along with custom written software for image analysis. This method may be applied to evaluate the extent of oligomerization as a function of receptor concentration and is particularly suited to assess the effects of agonists and antagonists on the oligomeric size of membrane receptors of interest.

Using radiofrequency dielectric spectroscopy, we have investigated the impact of the interaction between a G protein-coupled receptor (GPCR), the sterile2 α-factor receptor protein (Ste2), and its cognate agonist ligand, the α-factor pheromone, on the dielectric properties of the plasma membrane in living yeast cells (Saccharomyces cerevisiae). The dielectric properties of a cell suspension containing a saturating concentration of α-factor were measured over the frequency range 40Hz–110 MHz and compared to the behavior of a similarly prepared suspension of cells in the absence of α-factor. A spherical three-shell model was used to determine the electrical phase parameters for the yeast cells in both types of suspensions. The relative permittivity of the plasma membrane showed a significant increase after exposure to α-factor (by 0.06 ± 0.05). The equivalent experiment performed on yeast cells lacking the ability to express Ste2 showed no change in plasma membrane permittivity. Interestingly, a large change also occurred to the electrical properties of the cellular interior after the addition of α-factor to the cell suspending medium, whether or not the cells were expressing Ste2. We present a number of different complementary experiments performed on the yeast to support these dielectric data and interpret the results in terms of specific cellular reactions to the presence of α-factor.

Cell signaling pathways mediated by leucine-rich repeat receptor-like kinases (LRR-RLKs) are essential for plant growth, development, and defense. The EMS1 (EXCESS MICROSPOROCYTES1) LRR-RLK and its small protein ligand TPD1 (TAPETUM DETERMINANT1) play a fundamental role in somatic and reproductive cell differentiation during early anther development in Arabidopsis (Arabidopsis thaliana). However, it is unclear whether other cell surface molecules serve as coregulators of EMS1. Here, we show that SERK1 (SOMATIC EMBRYOGENESIS RECEPTOR-LIKE KINASE1) and SERK2 LRR-RLKs act redundantly as coregulatory and physical partners of EMS1. The SERK1/2 genes function in the same genetic pathway as EMS1 in anther development. Bimolecular fluorescence complementation, Forster resonance energy transfer, and coimmunoprecipitation approaches revealed that SERK1 interacted biochemically with EMS1. Transphosphorylation of EMS1 by SERK1 enhances EMS1 kinase activity. Among 12 in vitro autophosphorylation and transphosphorylation sites identified by tandem mass spectrometry, seven of them were found to be critical for EMS1 autophosphorylation activity. Furthermore, complementation test results suggest that phosphorylation of EMS1 is required for its function in anther development. Collectively, these data provide genetic and biochemical evidence of the interaction and phosphorylation between SERK1/2 and EMS1 in anther development.

Here we introduce the fully quantified spectral imaging (FSI) method as a new tool to probe the stoichiometry and stability of protein complexes in biological membranes. The FSI method yields two dimensional membrane concentrations and FRET efficiencies in native plasma membranes. It can be used to characterize the association of membrane proteins: to differentiate between monomers, dimers, or oligomers, to produce binding (association) curves, and to measure the free energies of association in the membrane. We use the FSI method to study the lateral interactions of Vascular Endothelial Growth Factor Receptor 2 (VEGFR2), a member of the receptor tyrosine kinase (RTK) superfamily, in plasma membranes, in vivo. The knowledge gained through the use of the new method challenges the current understanding of VEGFR2 signaling.

Resonance energy transfer (RET) and fluorescence fluctuation spectroscopies (FFS) are powerful fluorescence-based techniques for quantifying the self-association of membrane receptors within oligomeric complexes in living cells. However, RET spectrometry's ability to extract information on the detailed quaternary structure of oligomers sometimes rests on assumptions regarding the relative abundances of oligomers of different sizes, while FFS techniques may provide oligomer size information but not quaternary structure details, as they lack a probe for inter-molecular distances. In this report, we introduce a method which we termed 'intensity fluctuations and resonance energy transfer' (IFRET), which combines analysis of donor and acceptor intensity fluctuations with RET efficiency determination. Because the three measured quantities each have a unique dependence on the acceptor mole fraction (X A ), simultaneous global fitting of all three dramatically reduces ambiguity in the data fitting and choice of the most appropriate fitting model. We demonstrate the effectiveness of the method on simulated brightness and RET efficiency data incorporating mixtures of monomers, dimers, and tetramers and show that IFRET analysis provides a major improvement in both identifying the correct quaternary structure model and extracting the relative abundances of the monomers, dimers, and tetramers. Conceivably, the enhanced resolution of IFRET could potentially provide insight into the functional significance of receptor oligomerization in the presence and absence of cognate ligands.

This review discusses new developments in Forster resonance energy transfer (FRET) microscopy and its application to cellular receptors. The method is based on the kinetic theory of FRET, which can be used to predict FRET not only in dimers, but also higher order oligomers of donor and acceptor fluorophores. Models based on such FRET predictions can be fit to observed FRET efficiency histograms (also called FRET spectrograms) and used to estimate intracellular binding constants, free energy values, and stoichiometries. These “FRET spectrometry” methods have been used to analyze oligomers formed by various receptors in cell signaling pathways, but until recently such studies were limited to receptors residing on the cell surface. To study complexes residing inside the cell, a technique called Quantitative Micro-Spectroscopic Imaging (Q-MSI) was developed. Q-MSI combines determination of quaternary structure from pixel-level apparent FRET spectrograms with the determination of both donor and acceptor concentrations at the organelle level. This is done by resolving and analyzing the spectrum of a third fluorescent marker, which does not participate in FRET. Q-MSI was first used to study the interaction of a class of cytoplasmic receptors that bind viral RNA and signal an antiviral response via complexes formed mainly on mitochondrial membranes. Q-MSI revealed previously unknown RNA mitochondrial receptor orientations, and the interaction between the viral RNA receptor called LGP2 with the RNA helicase encoded by the hepatitis virus. The biological importance of these new observations is discussed.

Quantitative FRET-based imaging methods rely on the determination of an apparent FRET efficiency (Eapp) as well as donor and acceptor concentrations, in order to uncover the identity and relative abundance of the oligomeric (or quaternary) structures of associating macromolecules. Theoretical work has provided “upwards” relationships between the experimentally determined Eapp distributions and the quaternary structure models that underlie them. By contrast, the body of work that predicates the “downwards” dependence of Eapp on directly measurable quantities (i.e., fluorescence emission of donors and acceptors) relies largely on plausibility arguments, one of which is the seemingly obvious assumption that the fraction of fluorescent molecules in the ground state pretty nearly equals the total concentration of molecules. In this work, we use the kinetic models of fluorescence in the presence and absence of FRET to rigorously derive useful relationships between Eapp and measurable fluorescence signals. Analysis of these relationships reveals a few anticipated surprises and some unexpected explanations for known experimental FRET puzzles, and it provides theoretical foundations for optimizing measurement strategies.

Perturbations in endoplasmic reticulum (ER) homeostasis, a condition termed ER stress, activate the unfolded protein response (UPR), an intracellular network of signaling pathways. Recently, we have shown that protein kinase Kin1 and its paralog, Kin2, in the budding yeast Saccharomyces cerevisiae (orthologs of microtubule affinity-regulating kinase in humans) contribute to the UPR function. These Kin kinases contain a conserved kinase domain and an autoinhibitory kinase-associated 1 (KA1) domain separated by a long undefined domain. Here, we show that Kin1 or Kin2 protein requires minimally a kinase domain and an adjacent kinase extension region (KER) for UPR function. We also show that the functional mini-Kin2 protein is predominantly visualized inside the cells and precipitated with the cellular membrane fraction, suggesting its association with the cellular endomembrane system. Furthermore, we show that transphosphorylation of the Kin1 residue T302 and the analogous Kin2 residue T281 within the activation loop are important for full kinase activity. Collectively, our data suggest that, during ER stress, the Kin kinase domain is released from its autoinhibitory KA1 domain and is activated by transphosphorylation.

Dickeya dadantii is a globally dispersed phytopathogen which causes diseases on a wide range of host plants. This pathogen utilizes the type III secretion system (T3SS) to suppress host defense responses, and secretes pectate lyase (Pel) to degrade the plant cell wall. Although the regulatory small RNA (sRNA) RsmB, cyclic diguanylate monophosphate (c-di-GMP) and flagellar regulator have been reported to affect the regulation of these two virulence factors or multiple cell behaviours such as motility and biofilm formation, the linkage between these regulatory components that coordinate the cell behaviours remain unclear. Here, we revealed a sophisticated regulatory network that connects the sRNA, c-di-GMP signalling and flagellar master regulator FlhDC. We propose multi-tiered regulatory mechanisms that link the FlhDC to the T3SS through three distinct pathways including the FlhDC-FliA-YcgR3937 pathway; the FlhDC-EcpC-RpoN-HrpL pathway; and the FlhDC-rsmB-RsmA-HrpL pathway. Among these, EcpC is the most dominant factor for FlhDC to positively regulate T3SS expression.

Förster resonance energy transfer (FRET) is a nonradiative process for the transfer of energy from an optically excited donor molecule (D) to an acceptor molecule (A) in the ground state. The underlying theory predicting the dependence of the FRET efficiency on the sixth power of the distance between D and A has stood the test of time. In contrast, a comprehensive kinetic-based theory developed recently for FRET efficiencies among multiple donors and acceptors in multimeric arrays has waited for further testing. That theory has been tested in the work described in this article using linked fluorescent proteins located in the cytoplasm and at the plasma membrane of living cells. The cytoplasmic constructs were fused combinations of Cerulean as donor (D), Venus as acceptor (A), and a photoinsensitive molecule (Amber) as a nonfluorescent (N) place holder: namely, NDAN, NDNA, and ADNN duplexes, and the fully fluorescent quadruplex ADAA. The membrane-bound constructs were fused combinations of GFP2 as donor (D) and eYFP as acceptor (A): namely, two fluorescent duplexes (i.e., DA and AD) and a fluorescent triplex (ADA). According to the theory, the FRET efficiency of a multiplex such as ADAA or ADA can be predicted from that of analogs containing a single acceptor (e.g., NDAN, NDNA, and ADNN, or DA and AD, respectively). Relatively small but statistically significant differences were observed between the measured and predicted FRET efficiencies of the two multiplexes. While elucidation of the cause of this mismatch could be a worthy endeavor, the discrepancy does not appear to question the theoretical underpinnings of a large family of FRET-based methods for determining the stoichiometry and quaternary structure of complexes of macromolecules in living cells.

The sigma-1 receptor (S1R) is a 223-amino-acid membrane protein that resides in the endoplasmic reticulum and the plasma membrane of some mammalian cells. The S1R is regulated by various synthetic molecules including (+)-pentazocine, cocaine and haloperidol and endogenous molecules such as sphingosine, dimethyltryptamine and dehydroepiandrosterone. Ligand-regulated protein chaperone functions linked to oxidative stress and neurodegenerative disorders such as amyotrophic lateral sclerosis (ALS) and neuropathic pain have been attributed to the S1R. Several client proteins that interact with S1R have been identified including various types of ion channels and G-protein coupled receptors (GPCRs). When S1R constructs containing C-terminal monomeric GFP2 and YFP fusions were co-expressed in COS-7 cells and subjected to FRET spectrometry analysis, monomers, dimers and higher oligomeric forms of S1R were identified under non-liganded conditions. In the presence of the prototypic S1R agonist, (+)-pentazocine, however, monomers and dimers were the prevailing forms of S1R. The prototypic antagonist, haloperidol, on the other hand, favoured higher order S1R oligomers. These data, in sum, indicate that heterologously expressed S1Rs occur in vivo in COS-7 cells in multiple oligomeric forms and that S1R ligands alter these oligomeric structures. We suggest that the S1R oligomerization states may regulate its function(s).

Resolution of current controversies regarding the nature and functional roles of the oligomeric forms of G-protein coupled receptors (GPCRs) demands that experimental methods are both quantitative – i.e., they allow determination of size, geometry and stability of oligomers under varying experimental conditions – and applicable to receptors within their cellular milieu. Standard microscopy methods based on light do not provide the resolution necessary to resolve membrane receptor complexes, while techniques based on other contrast mechanisms (e.g., electron microscopy or atomic force microscopy) require sample destruction and fixation. Fortunately, techniques that exploit physical properties of fluorescent molecules, such as their ability to transfer excitations to an unexcited nearby fluorescent molecule (as in FRET spectrometry) and spatial or temporal fluctuations in the fluorescence intensity (fluorescence correlation spectroscopies and photon counting histograms) driven by aggregation and diffusion are capable of increasing the spatial and temporal resolution of all optical microscopies by several orders of magnitude. In this chapter, we overview the physical principles underlying such techniques, their comparative advantages and limitations, as well as their application to quantitative analysis of GPCR oligomerization in living cells.

Multiphoton micro-spectroscopy, employing diffraction optics and electron-multiplying CCD (EMCCD) cameras, is a suitable method for determining protein complex stoichiometry, quaternary structure, and spatial distribution in living cells using Förster resonance energy transfer (FRET) imaging. The method provides highly resolved spectra of molecules or molecular complexes at each image pixel, and it does so on a timescale shorter than that of molecular diffusion, which scrambles the spectral information. Acquisition of an entire spectrally resolved image, however, is slower than that of broad-bandwidth microscopes because it takes longer times to collect the same number of photons at each emission wavelength as in a broad bandwidth. Here, we demonstrate an optical micro-spectroscopic scheme that employs a laser beam shaped into a line to excite in parallel multiple sample voxels. The method presents dramatically increased sensitivity and/or acquisition speed and, at the same time, has excellent spatial and spectral resolution, similar to point-scan configurations. When applied to FRET imaging using an oligomeric FRET construct expressed in living cells and consisting of a FRET acceptor linked to three donors, the technique based on line-shaped excitation provides higher accuracy compared to the point-scan approach, and it reduces artifacts caused by photobleaching and other undesired photophysical effects.

Förster resonance energy transfer (FRET) is an exquisitely sensitive method for detection of molecular interactions and conformational changes in living cells. The recent advent of fluorescence imaging technology with single-molecule (or molecular-complex) sensitivity, together with refinements in the kinetic theory of FRET, provide the necessary tool kits for determining the stoichiometry and relative disposition of the protomers within protein complexes (i.e., quaternary structure) of membrane receptors and transporters in living cells. In contrast to standard average-based methods, this method relies on the analysis of distributions of apparent FRET efficiencies, Eapp, across the image pixels of individual cells expressing proteins of interest. The most probable quaternary structure of the complex is identified from the number of peaks in the Eapp distribution and their dependence on a single parameter, termed pairwise FRET efficiency. Such peaks collectively create a unique FRET spectrum corresponding to each oligomeric configuration of the protein. Therefore, FRET could quite literally become a spectrometric method—akin to that of mass spectrometry—for sorting protein complexes according to their size and shape.

The literature on GPCR (G-protein-coupled receptor) homo-oligomerization encompasses conflicting views that range from interpretations that GPCRs must be monomeric, through comparatively newer proposals that they exist as dimers or higher-order oligomers, to suggestions that such quaternary structures are rather ephemeral or merely accidental and may serve no functional purpose. In the present study we use a novel method of FRET (Förster resonance energy transfer) spectrometry and controlled expression of energy donor-tagged species to show that M3Rs (muscarinic M3 acetylcholine receptors) at the plasma membrane exist as stable dimeric complexes, a large fraction of which interact dynamically to form tetramers without the presence of trimers, pentamers, hexamers etc. That M3R dimeric units interact dynamically was also supported by co-immunoprecipitation of receptors synthesized at distinct times. On the basis of all these findings, we propose a conceptual framework that may reconcile the conflicting views on the quaternary structure of GPCRs.

Transmembrane proteins known as G protein-coupled receptors (GPCRs) have been shown to form functional homo- or hetero-oligomeric complexes, although agreement has been slow to emerge on whether homo-oligomerization plays functional roles. Here we introduce a platform to determine the identity and abundance of differing quaternary structures formed by GPCRs in living cells following changes in environmental conditions, such as changes in concentrations. The method capitalizes on the intrinsic capability of FRET spectrometry to extract oligomer geometrical information from distributions of FRET efficiencies (or FRET spectrograms) determined from pixel-level imaging of cells, combined with the ability of the statistical ensemble approaches to FRET to probe the proportion of different quaternary structures (such as dimers, rhombus or parallelogram shaped tetramers, etc.) from averages over entire cells. Our approach revealed that the yeast pheromone receptor Ste2 forms predominantly tetramers at average expression levels of 2 to 25 molecules per pixel (2.8 · 10 − 6 to 3.5 · 10 − 5 molecules/nm 2 ), and a mixture of tetramers and octamers at expression levels of 25–100 molecules per pixel (3.5 · 10 − 5 to 1.4 · 10 − 4 molecules/nm 2 ). Ste2 is a class D GPCR found in the yeast Saccharomyces cerevisiae of the mating type a , and binds the pheromone α-factor secreted by cells of the mating type α . Such investigations may inform development of antifungal therapies targeting oligomers of pheromone receptors. The proposed FRET imaging platform may be used to determine the quaternary structure sub-states and stoichiometry of any GPCR and, indeed, any membrane protein in living cells. This article is part of a Special Issue entitled: Interactions between membrane receptors in cellular membranes edited by Kalina Hristova.

Rhodopsin is a prototypical G-protein-coupled receptor (GPCR) that initiates phototransduction in the retina. The receptor consists of the apoprotein opsin covalently linked to the inverse agonist 11-cis retinal. Rhodopsin and opsin have been shown to form oligomers within the outer segment disc membranes of rod photoreceptor cells. However, the physiological relevance of the observed oligomers has been questioned since observations were made on samples prepared from the retina at low temperatures. To investigate the oligomeric status of opsin in live cells at body temperatures, we utilized a novel approach called Förster resonance energy transfer spectrometry, which previously has allowed the determination of the stoichiometry and geometry (i.e. quaternary structure) of various GPCRs. In the current study, we have extended the method to additionally determine whether or not a mixture of oligomeric forms of opsin exists and in what proportion. The application of this improved method revealed that opsin expressed in live Chinese hamster ovary (CHO) cells at 37°C exists as oligomers of various sizes. At lower concentrations, opsin existed in an equilibrium of dimers and tetramers. The tetramers were in the shape of a near-rhombus. At higher concentrations of the receptor, higher-order oligomers began to form. Thus, a mixture of different oligomeric forms of opsin is present in the membrane of live CHO cells and oligomerization occurs in a concentration-dependent manner. The general principles underlying the concentration-dependent oligomerization of opsin may be universal and apply to other GPCRs as well.

Manufacturers add menthol to roughly 30% of tobacco cigarettes sold in the US, and to an unknown fraction of other tobacco products and electronic cigarettes. Smokers of menthol cigarettes find it harder to quit smoking, raising questions about the mechanism of this apparently harmful menthol effect. Menthol modestly affects the pharmacokinetics of nicotine and acts as a chemical chaperone for nicotinic acetylcholine receptors (nAChRs) [1]. In this study, we have investigated the effects of menthol on α3β4∗ nAChRs, which are mostly expressed in medial habenula (MHb) - interpeduncular nucleus (IPN) circuit: a key mediator of nicotine's aversive properties and withdrawal [2]. Fluorescently labeled α3 and β4 subunits are transiently expressed in Neuro-2a cells to form monomers, and oligomers. Using a Forster Resonance Energy Transfer (FRET) micro-spectroscopy method [3], we have found that menthol up-regulates α3 subunit while having no effects on β4 subunit and α3β4 pentamer numbers. Our results also show that menthol favors (α3)3(β4)2 stoichiometry over (α3)2(β4)3 stoichiometry. However, the study using Total Internal Reflection Fluorescence Microscopy (TIRFM) reveals that though menthol up-regulates α3 subunit numbers in peripheral Endoplasmic Reticulum, it decreases the α3β4 receptor numbers at the plasma membrane.

FRET is an indispensable experimental tool for studying membrane proteins. Currently, two models are available for researchers to determine the oligomerization state of membrane proteins in a static quenching FRET experiment: the model of Veatch and Stryer, derived in 1977, and the kinetic theory-based model for intraoligomeric FRET, derived in 2007. Because of confinement in two dimensions, a substantial amount of FRET is generated by energy transfer between fluorophores located in separate oligomers in the two-dimensional bilayer. This interoligomeric FRET (also known as stochastic, bystander, or proximity FRET) is not accounted for in either model. Here, we use the kinetic theory formalism to describe the dependence of the FRET efficiency measured in an experiment (i.e. the "total apparent FRET efficiency") on the interoligomeric FRET due to random proximity within the bilayer and the intraoligomeric FRET resulting from protein-protein interactions. We find that data analysis with both models without consideration of the proximity FRET leads to incorrect conclusions about the oligomeric state of the protein. We show that knowledge of the total surface densities of fluorophore-labeled membrane proteins is essential for correctly interpreting the measured total apparent FRET efficiency. We also find that bulk, two-color, static quenching FRET experiments are best suited for the study of monomeric, dimerizing, or dimeric proteins but have limitations in discerning the order of larger oligomers. The theory and methodology described in this work will allow researchers to extract meaningful parameters from static quenching FRET measurements in biological membranes.

Current methods for analysis of data from studies of protein-protein interactions using fluorescence resonance energy transfer (FRET) emerged from several decades of research using wide-field microscopes and spectrofluorometers to measure fluorescence from individual cells or cell populations. Inherent to most measurements is an averaging of the distributions of FRET efficiencies over large populations of protein complexes, which washes out information regarding the stoichiometry and structure of protein complexes. Although the introduction of laser-scanning microscopes in principle could facilitate quantification of the distributions of FRET efficiencies in live cells, only comparatively recently did this potential fully materialize, through development of spectral- or lifetime-based approaches. To exploit this new opportunity in molecular imaging, it is necessary to further develop theoretical models and methods of data analysis. Using Monte Carlo simulations, we investigated FRET in homogenous and inhomogeneous spatial distributions of molecules. Our results indicate that an analysis based on distributions of FRET efficiencies presents significant advantages over the average-based approach, which include allowing for proper identification of biologically relevant FRET. This study provides insights into the effect of molecular crowding on FRET, and it offers a basis for information extraction from distributions of FRET efficiencies using simulations-based data fitting.

The Maxwell–Wagner theory of interfacial polarization treats dielectric particles suspended in homogeneous media and subjected to alternating fields as systems of independent induced dipoles, and therefore predicts simple Debye-type dispersion in which both permittivity and conductivity vary between low- and high-frequency plateaus. Unfortunately, Maxwell–Wagner theory cannot replicate its own success when applied to more concentrated and structured (i.e., non-random) systems of cells such as tissues. The effective medium theory, devised to incorporate contributions of the induced dipoles to the average far-field, brought about some improvement, but the general shape of the dielectric spectra remained that of a simple Debye – in contrast with experimental data. Supracellular organization of tissues induces non-Debye behavior due to near-field interactions between neighboring cells. Specifically, biological cells may perturb each other’s electrical environment via dipolar (multipolar) fields or conductance bridges (such as pores and gap junctions) between cytoplasms and across cell membranes. We substantiate this hypothesis by presenting comparatively data from yeast and red blood cell suspensions, blood forming reversible supra-cellular structures, called ‘rouleaux’, breast tissues, as well as from brain treated with anesthetics that are known to affect the gap-junctional connectivity between cells.

Resonant energy transfer from an optically excited donor molecule to a non-excited acceptor molecule residing nearby is widely used to detect molecular interactions in living cells. To date, resonant energy transfer has been used to obtain stoichiometric information, such as the number of proteins forming a complex, for a handful of proteins, but only after performing sequential scans of the emission wavelengths, excitation wavelengths, or sometimes both. During this lengthy process of measurement, the molecular makeup of a cellular region may change, limiting the applicability of resonant energy transfer to the determination of cellular averages. Here, we demonstrate a method for the determination of protein complex size, configuration, and spatial distribution in single living cells. It relies on a spectrally resolved two-photon microscope, a simple but competent theory, and a judicious selection of fluorescent tags. This approach eventually may lead to tracking the dynamics of individual molecular complexes inside living cells. The combination of spectrally resolved two-photon microscopy, fluorescent tags and appropriate theory makes it possible to determine the complex size, configuration and spatial distribution of proteins in single living cells. The findings made could lead to ways of tracking the cellular dynamics of individual molecular complexes.

We report an improved method for production of microfluidic device masters using two-photon photopolymerization of SU-8 negative photoresist, which relies on a two-photon microscope (TPM) commonly used in imaging of biological samples. The device masters serve as negative relief structures for polydimethylsiloxane-based microfluidic devices. We observed that not only did the two-photon excitation of the SU-8 photoresist initiate crosslinking of the material in the region of the focus of the near-infrared laser beam (as expected) but it also resulted in emission of fluorescence in the visible range. The detected emission of SU-8 photoresist undergoing two-photon excitation displayed a strong correlation with the size of the polymerized objects produced during the exposure; this allowed the progress of the microfluidic master production process to be monitored in real-time. We demonstrate the use of the fluorescence detection during two-photon photopolymerization in the production of microfluidic devices, which were designed to trap individual yeast cells to be imaged with the same TPM used for microfluidic master writing.

Spurious contributions from electrode polarization (EP) are a major nuisance in dielectric measurements of biological tissues and hamper accurate determination of tissue properties in the audio/radiofrequencies. Various electrode geometries and/or treatments have been employed traditionally to reduce EP contributions, although none succeeded to completely remove EP from measurements on tissues for all practical frequency ranges. A method of correction for contributions of EP to the dielectric properties of tissues is proposed. The method is based on modeling the electrode impedance with suitable functions and on the observation that certain parameters are only dependent on electrodes properties and can thus be determined separately. The method is tested on various samples with known properties, and its usefulness is demonstrated with samples of normal and cancerous human female breast tissue. It is observed that the dielectric properties of the tissues over the frequency range 40 Hz-100 MHz are significantly different among different types of breast tissue. This observation is used further to demonstrate that, by scanning the tip of the measuring dielectric probe (with modest spatial resolution) across a sample of excised breast tissue, significant variations in the electrical properties are detected at a position where a tumor is located. This study shows that dielectric spectroscopy has the potential to offer a viable alternative to the current methods for detection of breast cancer in vivo.

In the first part of the chapter, dielectric spectroscopy studies of globular proteins in aqueous solutions in native and denatured states are reviewed. Here we discuss the mechanisms of two major dielectric relaxation processes (γ- and β-dispersions) and one minor process (δ-dispersion) observed in the diluted globular protein solutions. Effects of protein concentration, temperature, pH, and denaturants were also summarized. The second part of the chapter presents the dielectric properties of proteins in natural membrane fragments and living cells membrane. Ferroelectric behavior was observed for the first time for the package of bacteriorhodopsin membrane fragments oriented in the electric field. Here, a discussion is also presented about progress and problems related to the observation of proteins in living cells using dielectric spectroscopy