Polar plot representation of time-resolved fluorescence.

Measuring changes in a molecule's fluorescence emission is a common technique to study complex biological systems such as cells and tissues. Although the steady-state fluorescence intensity is frequently used, measuring the average amount of time that a molecule spends in the excited state (the fluorescence lifetime) reveals more detailed information about its local environment. The lifetime is measured in the time domain by detecting directly the decay of fluorescence following excitation by short pulse of light. The lifetime can also be measured in the frequency domain by recording the phase and amplitude of oscillation in the emitted fluorescence of the sample in response to repetitively modulated excitation light. In either the time or frequency domain, the analysis of data to extract lifetimes can be computationally intensive. For example, a variety of iterative fitting algorithms already exist to determine lifetimes from samples that contain multiple fluorescing species. However, recently a method of analysis referred to as the polar plot (or phasor plot) is a graphical tool that projects the time-dependent features of the sample's fluorescence in either the time or frequency domain into the Cartesian plane to characterize the sample's lifetime. The coordinate transformations of the polar plot require only the raw data, and hence, there are no uncertainties from extensive corrections or time-consuming fitting in this analysis. In this chapter, the history and mathematical background of the polar plot will be presented along with examples that highlight how it can be used in both cuvette-based and imaging applications.

Cellular and Molecular Bioengineering: A Tipping Point.

In January of 2011, the Biomedical Engineering Society (BMES) and the Society for Physical Regulation in Biology and Medicine (SPRBM) held its inaugural Cellular and Molecular Bioengineering (CMBE) conference. The CMBE conference assembled worldwide leaders in the field of CMBE and held a very successful Round Table discussion among leaders. One of the action items was to collectively construct a white paper regarding the future of CMBE. Thus, the goal of this report is to emphasize the impact of CMBE as an emerging field, identify critical gaps in research that may be answered by the expertise of CMBE, and provide perspectives on enabling CMBE to address challenges in improving human health. Our goal is to provide constructive guidelines in shaping the future of CMBE.

Fluorescence lifetime imaging comes of age how to do it and how to interpret it.

Fluorescence lifetime imaging (FLI) has been used widely for measuring biomedical samples. Practical guidelines on taking successful FLI data are provided to avoid common errors that arise during the measurement. Several methods for analyzing and interpreting FLI results are also introduced; e.g., a model-free data analysis method called the polar plot allows visualization and analysis of FLI data without iterative fitting, and an image denoising algorithm called variance-stabilizing-transform TI Haar helps to elucidate the information of a complex biomedical sample. The instrument considerations and data analysis of Spectral-FLI are also discussed.

Development of a high-dynamic range, GFP-based FRET probe sensitive to oxidative microenvironments.

We report the optimization of a novel redox-sensitive probe with enhanced dynamic range and an exceptionally well-positioned oxidative midpoint redox potential. The present work characterizes factors that contribute to the improved Förster resonance energy transfer (FRET) performance of this green fluorescent protein (GFP)-based redox sensor. The α-helical linker, which separates the FRET donor and acceptor, has been extended in the new probe and leads to a decreased FRET efficiency in the linker's reduced, 'FRET-off' state. Unexpectedly, the FRET efficiency is increased in the new linker's oxidized, 'FRET-on' state compared with the parent probe, in spite of the longer linker sequence. The combination of a lowered baseline 'FRET-off' and an increased 'FRET-on' signal significantly improves the dynamic range of the probe for a more robust discrimination of its reduced and oxidized linker states. Mutagenesis of the cysteine residues within the α-helix linker reveals the importance of the fourth, C-terminal cysteine and the relative insignificance of the second cysteine in forming the disulfide bridge to clamp the linker into the high-FRET, oxidized state. To further optimize the performance of the redox probe, various cyan fluorescent protein (CFP)/yellow fluorescent protein (YFP) FRET pairs, placed at opposite ends of the improved redox linker (RL7), were quantitatively compared and exchanged. We found that the CyPet/YPet and ECFP/YPet FRET pairs when attached to RL7 do not function well as sensitive redox probes due to a strong tendency to form heterodimers, which disrupt the α-helix. However, monomeric versions of CyPet and YPet (mCyPet and mYPet) eliminate dimerization and restore redox sensitivity of the probe. The best performing probe, ECFP-RL7-EYFP, exhibits an approximately six-fold increase in FRET efficiency in vitro when passing from the oxidized to the reduced state. We determined the midpoint redox potential of the probe to be -143 ± 6 mV, which is ideal for measuring glutathione (GSH/GSSG) redox potentials in oxidative compartments of mammalian cells (e.g. the endoplasmic reticulum).

Phase differential enhancement of FLIM to distinguish FRET components of a biosensor for monitoring molecular activity of Membrane Type 1 Matrix Metalloproteinase in live cells.

Fluorescence lifetime-resolved imaging microscopy (FLIM) has been used to monitor the enzymatic activity of a proteolytic enzyme, Membrane Type 1 Matrix Metalloproteinase (MT1-MMP), with a recently developed FRET-based biosensor in vitro and in live HeLa and HT1080 cells. MT1-MMP is a collagenaise that is involved in the destruction of extra-cellular matrix (ECM) proteins, as well as in various cellular functions including migration. The increased expression of MT1-MMP has been positively correlated with the invasive potential of tumor cells. However, the precise spatiotemporal activation patterns of MT1-MMP in live cells are still not well-established. The activity of MT1-MMP was examined with our biosensor in live cells. Imaging of live cells was performed with full-field frequency-domain FLIM. Image analysis was carried out both with polar plots and phase differential enhancement. Phase differential enhancement, which is similar to phase suppression, is shown to facilitate the differentiation between different conformations of the MT1-MMP biosensor in live cells when the lifetime differences are small. FLIM carried out in differential enhancement or phase suppression modes, requires only two acquired phase images, and permits rapid imaging of the activity of MT1-MMP in live cells.

Photosystem II fluorescence lifetime imaging in avocado leaves: contributions of the lutein-epoxide and violaxanthin cycles to fluorescence quenching.

Lifetime-resolved imaging measurements of chlorophyll a fluorescence were made on leaves of avocado plants to study whether rapidly reversible ΔpH-dependent (transthylakoid H(+) concentration gradient) thermal energy dissipation (qE) and slowly reversible ΔpH-independent fluorescence quenching (qI) are modulated by lutein-epoxide and violaxanthin cycles operating in parallel. Under normal conditions (without inhibitors), analysis of the chlorophyll a fluorescence lifetime data revealed two major lifetime pools (1.5 and 0.5 ns) for photosystem II during the ΔpH build-up under illumination. Formation of the 0.5-ns pool upon illumination was correlated with dark-retention of antheraxanthin and photo-converted lutein in leaves. Interconversion between the 1.5- and 0.5-ns lifetime pools took place during the slow part of the chlorophyll a fluorescence transient: first from 1.5 ns to 0.5 ns in the P-to-S phase, then back from 0.5 ns to 1.5 ns in the S-to-M phase. When linear electron transport and the resulting ΔpH build-up were inhibited by treatment with 3-(3,4-dichlorophenyl)-1,1-dimethylurea (DCMU), the major fluorescence intensity was due to a 2.2-ns lifetime pool with a minor faster contribution of approximately 0.7 ns. In the presence of DCMU, neither the intensity nor the lifetimes of fluorescence were affected by antheraxanthin and photo-converted lutein. Thus, we conclude that both antheraxanthin and photo-converted lutein are able to enhance ΔpH-dependent qE processes that are associated with the 0.5-ns lifetime pool. However, unlike zeaxanthin, retention of antheraxanthin and photo-converted lutein may not by itself stabilize quenching or cause qI.

Fluorescence lifetime-resolved imaging.

This is a short account of fluorescence lifetime-resolved imaging, in order to acquaint readers who are not experts with the basic methods for measuring lifetime-resolved signals throughout an image. We present the early FLI (fluorescence lifetime imaging) history, review shortly the instrumentation and experimental design, discuss briefly the fundamentals of the measured fluorescence response, and introduce the basic measurement methodologies. We also emphasize the complex nature of the fluorescence response in FLI signals, and introduce certain analysis methods that are appropriate and informative for complex fluorescence decays. The advantages of model independent analyses are discussed and examples given.

Fluorescence lifetimes: fundamentals and interpretations.

Fluorescence measurements have been an established mainstay of photosynthesis experiments for many decades. Because in the photosynthesis literature the basics of excited states and their fates are not usually described, we have presented here an easily understandable text for biology students in the style of a chapter in a text book. In this review we give an educational overview of fundamental physical principles of fluorescence, with emphasis on the temporal response of emission. Escape from the excited state of a molecule is a dynamic event, and the fluorescence emission is in direct kinetic competition with several other pathways of de-excitation. It is essentially through a kinetic competition between all the pathways of de-excitation that we gain information about the fluorescent sample on the molecular scale. A simple probability allegory is presented that illustrates the basic ideas that are important for understanding and interpreting most fluorescence experiments. We also briefly point out challenges that confront the experimenter when interpreting time-resolved fluorescence responses.

Helix-coil transition of a four-way DNA junction observed by multiple fluorescence parameters.

The thermal denaturation of immobile four-way DNA ("Holliday-") junctions with 17 base pair arms was studied via fluorescence spectroscopic measurements. Two arms of the molecule were labeled at the 5'-end with fluorescein and tetramethylrhodamine, respectively. Melting was monitored by the fluorescence intensity of the dyes, the fluorescence anisotropy of tetramethylrhodamine, and Forster resonance energy transfer (FRET) between fluorescein and rhodamine. To fit the thermal denaturation curves of the four-way junctions, two basic thermodynamic models were tested: (1) all-or-none transitions assuming a molecularity of one, two, or four and (2) a statistical "zipper" model. The all-or-none models correspond to reaction mechanisms assuming that the cooperative melting unit (that is, the structure changing from complete helix to complete coil) consists of (1) one arm, (2) two neighboring arms (which have one continuous strand common to the two arms), or (3) all four arms. In each case, the melting of the cooperative unit takes place in a single step. The tetramolecular reaction model (four-arm melting) yielded unrealistically low van't Hoff enthalpy and entropy values, whereas the monomolecular model (one-arm melting) resulted in a poor fit to the experimental data. The all-or-none bimolecular (two neighboring arm model) fit gave intermediate standard enthalpy change (Delta H) values between those expected for the melting of a duplex with a total length between the helix lengths of one and two arms (17 and 34 base pairs). Simulations according to the zipper model fit the experimental curves best when the length of the simulated duplex was assumed to be 34 base pairs, the length of a single strand. This suggests that the most important parameter determining the melting behavior of the molecule is the end-to-end distance of the strands (34 bases) rather than the length of the individual arms (17 base pairs) and that the equilibrium concentration of partially denatured intermediate states has to be taken into account. These findings are in good agreement with results obtained for three-way DNA junctions ( Stuhmeier, F. ; Lilley, D. M. ; Clegg, R. M. Biochemistry 1997, 36, 13539 ). An interesting result is that the extent-of-melting curves derived from the fluorescence intensity and anisotropy nearly agree, whereas the curve derived from the FRET data shows a change prior to the melting. This may be an indication of a conformational change leaving the double-stranded structure intact but changing the end-to-end distance of the different arms in a way consistent with the transition to the extended square configuration ( Clegg, R. M. ; Murchie, A. I. ; Lilley, D. M. Biophys. J. 1994, 66, 99 ) of this branched molecule.

Rapid frequency-domain FLIM spinning disk confocal microscope: lifetime resolution, image improvement and wavelet analysis.

A spinning disk confocal attachment is added to a full-field real-time frequency-domain fluorescence lifetime-resolved imaging microscope (FLIM). This provides confocal 3-D imaging while retaining all the characteristics of the normal 2-D FLIM. The spinning disk arrangement allows us to retain the speed of the normal 2-D full field FLIM while gaining true 3-D resolution. We also introduce the use of wavelet image transformations into the FLIM analysis. Wavelets prove useful for selecting objects according to their morphology, denoising and background subtraction. The performance of the instrument and the analysis routines are tested with quantitative physical samples and examples are presented with complex biological samples.

Engineering redox-sensitive linkers for genetically encoded FRET-based biosensors.

The ability to sense intracellular or intraorganellar reduction/oxidation conditions would provide a powerful tool for studying normal cell proliferation, differentiation, and apoptosis. Genetically encoded biosensors enable monitoring of the intracellular redox environment. We report the development of chimeric polypeptides useful as redox-sensitive linkers in conjunction with Förster resonance energy transfer (FRET). Alpha-helical linkers differing in length were combined with motifs that are sensitive to the redox state of the environment. The first category of linkers included a redox motif found in the thioredoxin family of oxidoreductases. This motif was flanked by two alpha-helices of equal length. The second and third categories of redox linkers were composed of alpha-helices with embedded adjacent and dispersed vicinal cysteine residues, respectively. The linkers containing redox switches were placed between a FRET pair of enhanced cyan and yellow fluorescent proteins and these constructs were tested subsequently for their efficacy. A robust method of FRET analysis, the (ratio)(A) method, was used. This method uses two fluorescence spectra performed directly on the FRET construct without physical separation of the fluorophores. The cyan/yellow construct carrying one of the designed redox linkers, RL5, exhibited a 92% increase in FRET efficiency from its reduced to oxidized states. Responsiveness of the cyan-RL5-yellow construct to changes in the intracellular redox environment was confirmed in mammalian cells by flow cytometry.

Analytic solutions to modelling exponential and harmonic functions using Chebyshev polynomials: fitting frequency-domain lifetime images with photobleaching.

A novel approach is introduced for modelling linear dynamic systems composed of exponentials and harmonics. The method improves the speed of current numerical techniques up to 1000-fold for problems that have solutions of multiple exponentials plus harmonics and decaying components. Such signals are common in fluorescence microscopy experiments. Selective constraints of the parameters being fitted are allowed. This method, using discrete Chebyshev transforms, will correctly fit large volumes of data using a noniterative, single-pass routine that is fast enough to analyse images in real time. The method is applied to fluorescence lifetime imaging data in the frequency domain with varying degrees of photobleaching over the time of total data acquisition. The accuracy of the Chebyshev method is compared to a simple rapid discrete Fourier transform (equivalent to least-squares fitting) that does not take the photobleaching into account. The method can be extended to other linear systems composed of different functions. Simulations are performed and applications are described showing the utility of the method, in particular in the area of fluorescence microscopy.

Fluorescence measurements of duplex DNA oligomers under conditions conducive for forming M-DNA (a metal-DNA complex).

M-DNA (a metal complex of DNA with millimolar concentrations of Zn2+, Co2+, or Ni2+ and basic pH) has been proposed to undergo electron transfer over long distances along the helix and has generated interest as a potential building block for nanoelectronics. We show that DNA aggregates form under solvent conditions favorable for M-DNA (millimolar zinc and pH = 8.6) by fluorescence correlation spectroscopy. We have performed steady-state Förster resonance energy transfer (FRET) experiments with DNA oligomers conjugated with 6-carboxyfluorescein and tetramethylrhodamine to the opposite ends of double-stranded DNA (dsDNA) molecules. Enhanced acceptor emission is observed for distances larger than expected for identical DNA molecules with no zinc. To avoid intermolecular FRET, the fluorescently labeled dsDNA is diluted with a 100-fold excess of unlabeled dsDNA. The intramolecular FRET efficiency increases 25-fold for a 30-mer doubly labeled duplex DNA molecule upon addition of millimolar concentrations of zinc ions. Without zinc, this oligomer has less than 1% FRET efficiency. This dramatic increase in the FRET efficiency points to either significant changes in the Förster radius or fraying of the ends of the DNA helices. The latter hypothesis is supported by our experiments with a 9-mer that show dissociation of the duplex by zinc ions.

The antibiotic viomycin traps the ribosome in an intermediate state of translocation.

During protein synthesis, transfer RNA and messenger RNA undergo coupled translocation through the ribosome's A, P and E sites, a process catalyzed by elongation factor EF-G. Viomycin blocks translocation on bacterial ribosomes and is believed to bind at the subunit interface. Using fluorescent resonance energy transfer and chemical footprinting, we show that viomycin traps the ribosome in an intermediate state of translocation. Changes in FRET efficiency show that viomycin causes relative movement of the two ribosomal subunits indistinguishable from that induced by binding of EF-G with GDPNP. Chemical probing experiments indicate that viomycin induces formation of a hybrid-state translocation intermediate. Thus, viomycin inhibits translation through a unique mechanism, locking ribosomes in the hybrid state; the EF-G-induced 'ratcheted' state observed by cryo-EM is identical to the hybrid state; and, since translation is viomycin sensitive, the hybrid state may be present in vivo.

Observation of intersubunit movement of the ribosome in solution using FRET.

Protein synthesis is believed to be a dynamic process, involving structural rearrangements of the ribosome. Cryo-EM reconstructions of certain elongation factor G (EF-G)-containing complexes have led to the proposal that translocation of tRNA and mRNA through the ribosome, from the A to P to E sites, is accompanied by a rotational movement between the two ribosomal subunits. Here, we have used Förster resonance energy transfer (FRET) to monitor changes in the relative orientation of the ribosomal subunits in different complexes trapped at intermediate stages of translocation in solution. Binding of EF-G to the ribosome in the presence of the non-hydrolyzable GTP analogue GDPNP or GTP plus fusidic acid causes an increase in the efficiency of energy transfer between fluorophores introduced into proteins S11 in the 30 S subunit and L9 in the 50 S subunit, and a decrease in energy transfer between S6 and L9. Similar anti-correlated changes in energy transfer occur upon binding the GTP-requiring release factor RF3. These changes are consistent with the counter-clockwise rotation of the 30 S subunit relative to the 50 S subunit observed in cryo-EM studies. Reaction of ribosomal complexes containing the peptidyl-tRNA analogues N-Ac-Phe-tRNAPhe, N-Ac-Met-tRNAMet or f-Met-tRNAfMet with puromycin, conditions favoring movement of the resulting deacylated tRNAs into the P/E hybrid state, leads to similar changes in FRET. Conversely, treatment of a ribosomal complex containing deacylated and peptidyl-tRNAs bound in the A/P and P/E states, respectively, with EF-G.GTP causes reversal of the FRET changes. The use of FRET has enabled direct observation of intersubunit movement in solution, provides independent evidence that formation of the hybrid state is coupled to rotation of the 30 S subunit and shows that the intersubunit movement is reversed during the second step of translocation.

A simple derivation of the luminescence anisotropy decay from randomly distributed cylinders rotating about a single axis.

A simple derivation is given of the expression describing the anisotropy decay of luminescence for a solution of molecules that can only undergo rotational diffusion about a single cylindrical axis. The usual derivations of the anisotropy decay for this cylindrical model have simply taken limiting cases of the equations resulting from the general treatment of the anisotropy decay of a completely anisotropic rotator or the rotation of an ellipsoid. The arguments presented here can be understood without the mathematical sophistication required to follow the general derivations for the rotational diffusion of a completely anisotropic rotator or ellipsoids. The underlying physical mechanisms leading to a multiple exponential decay of the fluorescence anisotropy signal from a single axis rotating cylinder are clearly shown by following this derivation. The resulting expression for the anisotropy decay is not new. However, the derivation is easily understood, and this article is meant as an introduction to the more advanced treatments of anisotropy decay by rotational diffusion. After presenting the derivation of the rotating cylinder, the corresponding steps of these general treatments and this simple model are indicated. The model is of special interest for describing the anisotropy decay resulting from rotations of proteins within membranes.

Ruby crystal for demonstrating time- and frequency-domain methods of fluorescence lifetime measurements.

We present experiments that are convenient and educational for measuring fluorescence lifetimes with both time- and frequency-domain methods. The sample is ruby crystal, which has a lifetime of about 3.5 milliseconds, and is easy to use as a class-room demonstration. The experiments and methods of data analysis are used in the lab section of a class on optical spectroscopy, where we go through the theory and applications of fluorescence. Because the fluorescence decay time of ruby is in the millisecond region, the instrumentation for this experiment can be constructed easily and inexpensively compared to the nanosecond-resolved instrumentation required for most fluorescent compounds, which have nanosecond fluorescence lifetimes. The methods are applicable to other luminescent compounds with decay constants from microseconds and longer, such as transition metal and lanthanide complexes and phosphorescent samples. The experiments, which clearly demonstrate the theory and methods of measuring temporally resolved fluorescence, are instructive and demonstrate what the students have learned in the lectures without the distraction of highly sophisticated instrumentation.

Properties of microfluidic turbulent mixing revealed by fluorescence lifetime imaging.

We present a new method of measurement based on fluorescence lifetime imaging that reveals molecular-scale details of the mixing process in a continuous-flow turbulent microfluidic reactor. Our data provide a glimpse of the cascade to the minimal eddy size, followed by rapid diffusion involving the smallest eddies for final mixing.

Polar plot representation for frequency-domain analysis of fluorescence lifetimes.

We present applications of polar plots for analyzing fluorescence lifetime data acquired in the frequency domain. This graphical, analytical method is especially useful for rapid FLIM measurements. The usual method for sorting out and determining the underlying lifetime components from a complex fluorescence signal is to carry out the measurement at multiple frequencies. When it is not possible to measure at more than one frequency, such as rapid lifetime imaging, specific features of the polar plot analysis yield valuable information, and provide a diagnostic visualization of the participating fluorescent species underlying a complex lifetime distributions. Data are presented where this polar plot presentation is useful to derive valuable, unique information about the underlying component distributions. We also discuss artifacts of photolysis and how this method can also be applied to samples where each fluorescence species shows a continuous distribution of lifetimes. Polar plots of frequency-domain data are commonly used for analysis of dielectric relaxation experiments (Cole-Cole plots), which have proved to be exceptionally useful in that field for decades. We compare this analytical tool that is well developed and extensively used in dielectric relaxation and chemical kinetics to fluorescence measurements.