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X Sunney Xie

Publications and source records attributed to X Sunney Xie.

At least 19 recordsLinked to original sources
PubMed2006

When does the Michaelis-Menten equation hold for fluctuating enzymes?

Enzymes are dynamic entities: both their conformation and catalytic activity fluctuate over time. When such fluctuations are relatively fast, it is not surprising that the classical Michaelis-Menten (MM) relationship between the steady-state enzymatic velocity and the substrate concentration still holds. However, recent single-molecule experiments have shown that this is the case even for an enzyme whose catalytic activity fluctuates on the 10(-4)-10 s range. The purpose of this paper is to examine various scenarios in which slowly fluctuating enzymes would still obey the MM relationship. Specifically, we consider (1) the quasi-static condition (e.g., the conformational fluctuation of the enzyme-substrate complex is much slower than binding, catalysis, and the conformational fluctuations of the free enzyme), (2) the quasi-equilibrium condition (when the substrate dissociation is much faster than catalysis, irrespective of the time scales or amplitudes of conformational fluctuations), and (3) the conformational-equilibrium condition (when the dissociation and catalytic rates depend on the conformational coordinate in the same way). For each of these scenarios, the physical meaning of the apparent Michaelis constant and catalytic rate constant is provided. Finally, as an example, the theoretical analysis of a recent single-molecule enzyme assay is considered in light of the perspectives presented in this paper.

Biophysics↗
PubMed2006

Linking stochastic dynamics to population distribution: an analytical framework of gene expression.

We present an analytical framework describing the steady-state distribution of protein concentration in live cells, considering that protein production occurs in random bursts with an exponentially distributed number of molecules. We extend this framework for cases of transcription autoregulation and noise propagation in a simple genetic network. This model allows for the extraction of kinetic parameters of gene expression from steady-state distributions of protein concentration in a cell population, which are available from single cell data obtained by flow cytometry or fluorescence microscopy.

DNA↗
PubMed2006

Generalized Haldane equation and fluctuation theorem in the steady-state cycle kinetics of single enzymes.

Enzyme kinetics are cyclic. We study a Markov renewal process model of single-enzyme turnover in nonequilibrium steady state (NESS) with sustained concentrations for substrates and products. We show that the forward and backward cycle times have identical nonexponential distributions: Theta + (t)=Theta_(t). This equation generalizes the Haldane relation in reversible enzyme kinetics. In terms of the probabilities for the forward (p+) and backward (p-) cycles, kBT ln(p+/p-) is shown to be the chemical driving force of the NESS, Delta mu. More interestingly, the moment generating function of the stochastic number of substrate cycle v(t), , follows the fluctuation theorem in the form of Kurchan-Lebowitz-Spohn-type symmetry. When lambda=delta mu/kBT, we obtain the Jarzynski-Hatano-Sasa-type equality identical with 1 for all t, where v Delta mu is the fluctuating chemical work done for sustaining the NESS. This theory suggests possible methods to experimentally determine the nonequilibrium driving force in situ from turnover data via single-molecule enzymology.

Journal Article↗
PubMed2006

High-sensitivity vibrational imaging with frequency modulation coherent anti-Stokes Raman scattering (FM CARS) microscopy.

We demonstrate a new approach to coherent anti-Stokes Raman scattering (CARS) microscopy that significantly increases the detection sensitivity. CARS signals are generated by collinearly overlapped, tightly focused, and raster scanned pump and Stokes laser beams, whose difference frequency is rapidly modulated. The resulting amplitude modulation of the CARS signal is detected through a lock-in amplifier. This scheme efficiently suppresses the nonresonant background and allows for the detection of far fewer vibrational oscillators than possible through existing CARS microscopy methods.

Image Enhancement↗
PubMed2006

Dynamic distance disorder in proteins is caused by trapping.

Dynamic disorder in proteins, as demonstrated by variations in single-molecule electron transfer rates, is investigated by molecular dynamics simulations. The potential of mean force for the fluctuating donor-acceptor distance is calculated for the NAD(P)H:flavin oxidoreductase (Fre) complex with flavin adenine dinucleotide (FAD) and is found to be in agreement with that estimated from electron transfer experiments. The calculated autocorrelation function of the distance fluctuations has a simple exponential behavior at low temperatures and stretched exponential behavior at higher temperatures on femtosecond to nanosecond time scales. This indicates that the calculated dynamic disorder arises from a wide range of trapping times in potential wells on the protein energy landscape and suggests a corresponding origin for the stretched exponential behavior observed experimentally on longer time scales.

Algorithms↗
PubMed2006

Broadly tunable dual-wavelength light source for coherent anti-Stokes Raman scattering microscopy.

The signal and idler beams from a picosecond, synchronously pumped optical parametric oscillator (OPO) provide the two colors necessary for coherent anti-Stokes Raman scattering (CARS) microscopy. The OPO provides a continuously tunable frequency difference between the two beams over a broad range of Raman shifts (100-3700 cm(-1)) by varying the temperature of a single nonlinear crystal. The near-infrared output (900-1300 nm) allows for deep penetration into thick samples and reduced nonlinear photodamage. Applications of this light source to in vivo cell and ex vivo tissue imaging are demonstrated.

Animals↗
PubMed2006

Nonperturbative chemical imaging of organelle transport in living cells with coherent anti-stokes Raman scattering microscopy.

Nonperturbative monitoring of intracellular organelle transport in unstained living cells was achieved with coherent anti-Stokes Raman scattering (CARS) microscopy. To avoid possible interference with the organelle transport introduced by laser radiation, we first examined different illumination conditions. Using a new photodamage criterion based on morphological changes of the cells, we determined the threshold values of both pulse energy and average power at relevant wavelengths. Under excitation conditions much milder than the threshold levels, we were able to monitor the motions of lipid droplet (LD) organelles in steroidogenic mouse adrenal cortical (Y-1) cells with CARS microscopy in real time without perturbations to the cells. Particle tracking analyses revealed subdiffusion as well as active transport of LDs along microtubules. Interestingly, LD active transport is only present in Y-1 cells that rounded up in culture, a morphological change associated with steroidogenesis, suggesting possible involvements of LD active transport in the latter. Simultaneous imaging of LDs and mitochondria with CARS and two-photon fluorescence microscopy clearly showed that interactions between the two organelles could be facilitated by high LD motility. These observations demonstrate CARS microscopy as a powerful noninvasive imaging tool for studying dynamic processes in living cells.

Animals↗
PubMed2006

Living cells as test tubes.

The combination of specific probes and advanced optical microscopy now allows quantitative probing of biochemical reactions in living cells. On selected systems, one can detect and track a particular protein with single-molecule sensitivity, nanometer spatial precision, and millisecond time resolution. Metabolites, usually difficult to detect, can be imaged and monitored in living cells with coherent anti-Stokes Raman scattering microscopy. Here, we describe the application of these techniques in studying gene expression, active transport, and lipid metabolism.

Animals↗
PubMed2006

A base-excision DNA-repair protein finds intrahelical lesion bases by fast sliding in contact with DNA.

A central mystery in the function of site-specific DNA-binding proteins is the detailed mechanism for rapid location and binding of target sites in DNA. Human oxoguanine DNA glycosylase 1 (hOgg1), for example, must search out rare 8-oxoguanine lesions to prevent transversion mutations arising from oxidative stress. Here we report high-speed imaging of single hOgg1 enzyme molecules diffusing along DNA stretched by shear flow. Salt-concentration-dependent measurements reveal that such diffusion occurs as hOgg1 slides in persistent contact with DNA. At near-physiologic pH and salt concentration, hOgg1 has a subsecond DNA-binding time and slides with a diffusion constant as high as 5 x 10(6) bp(2)/s. Such a value approaches the theoretical upper limit for one-dimensional diffusion and indicates an activation barrier for sliding of only 0.5 kcal/mol (1 kcal = 4.2 kJ). This nearly barrierless Brownian sliding indicates that DNA glycosylases locate lesion bases by a massively redundant search in which the enzyme selectively binds 8-oxoguanine under kinetic control.

Amino Acid Substitution↗
PubMed2006

Probing gene expression in live cells, one protein molecule at a time.

We directly observed real-time production of single protein molecules in individual Escherichia coli cells. A fusion protein of a fast-maturing yellow fluorescent protein (YFP) and a membrane-targeting peptide was expressed under a repressed condition. The membrane-localized YFP can be detected with single-molecule sensitivity. We found that the protein molecules are produced in bursts, with each burst originating from a stochastically transcribed single messenger RNA molecule, and that protein copy numbers in the bursts follow a geometric distribution. The quantitative study of low-level gene expression demonstrates the potential of single-molecule experiments in elucidating the workings of fundamental biological processes in living cells.

Bacterial Proteins↗
PubMed2006

Stochastic protein expression in individual cells at the single molecule level.

In a living cell, gene expression--the transcription of DNA to messenger RNA followed by translation to protein--occurs stochastically, as a consequence of the low copy number of DNA and mRNA molecules involved. These stochastic events of protein production are difficult to observe directly with measurements on large ensembles of cells owing to lack of synchronization among cells. Measurements so far on single cells lack the sensitivity to resolve individual events of protein production. Here we demonstrate a microfluidic-based assay that allows real-time observation of the expression of beta-galactosidase in living Escherichia coli cells with single molecule sensitivity. We observe that protein production occurs in bursts, with the number of molecules per burst following an exponential distribution. We show that the two key parameters of protein expression--the burst size and frequency--can be either determined directly from real-time monitoring of protein production or extracted from a measurement of the steady-state copy number distribution in a population of cells. Application of this assay to probe gene expression in individual budding yeast and mouse embryonic stem cells demonstrates its generality. Many important proteins are expressed at low levels, and are thus inaccessible by current genomic and proteomic techniques. This microfluidic single cell assay opens up possibilities for system-wide characterization of the expression of these low copy number proteins.

Animals↗
PubMed2006

DNA primase acts as a molecular brake in DNA replication.

A hallmark feature of DNA replication is the coordination between the continuous polymerization of nucleotides on the leading strand and the discontinuous synthesis of DNA on the lagging strand. This synchronization requires a precisely timed series of enzymatic steps that control the synthesis of an RNA primer, the recycling of the lagging-strand DNA polymerase, and the production of an Okazaki fragment. Primases synthesize RNA primers at a rate that is orders of magnitude lower than the rate of DNA synthesis by the DNA polymerases at the fork. Furthermore, the recycling of the lagging-strand DNA polymerase from a finished Okazaki fragment to a new primer is inherently slower than the rate of nucleotide polymerization. Different models have been put forward to explain how these slow enzymatic steps can take place at the lagging strand without losing coordination with the continuous and fast leading-strand synthesis. Nonetheless, a clear picture remains elusive. Here we use single-molecule techniques to study the kinetics of a multiprotein replication complex from bacteriophage T7 and to characterize the effect of primase activity on fork progression. We observe the synthesis of primers on the lagging strand to cause transient pausing of the highly processive leading-strand synthesis. In the presence of both leading- and lagging-strand synthesis, we observe the formation and release of a replication loop on the lagging strand. Before loop formation, the primase acts as a molecular brake and transiently halts progression of the replication fork. This observation suggests a mechanism that prevents leading-strand synthesis from outpacing lagging-strand synthesis during the slow enzymatic steps on the lagging strand.

Bacteriophage T7↗
PubMed2006

Kramers model with a power-law friction kernel: dispersed kinetics and dynamic disorder of biochemical reactions.

Kramers' model for the rate of chemical reaction is generalized to explain the phenomena of dispersed kinetics and dynamic disorder in biochemical reactions, by incorporating the newly observed power-law friction kernel into the generalized Langevin equation for a one-dimensional reaction ordinate. This new model accounts for time scale overlap between conformational and chemical dynamics, and quantitatively describes the multi-exponential kinetics and memory effects of fluctuating rate constants, which have been revealed by recent single-molecule experiments.

Biophysics↗
PubMed2006

Heterodyne coherent anti-Stokes Raman scattering (CARS) imaging.

We have achieved rapid nonlinear vibrational imaging free of nonresonant background with heterodyne coherent anti-Stokes Raman scattering (CARS) interferometric microscopy. This technique completely separates the real and imaginary responses of nonlinear susceptibility chi(3) and yields a signal that is linear in the concentration of vibrational modes. We show that heterodyne CARS microscopy permits the detection of weak vibrational resonances that are otherwise overshadowed by the strong interference of the nonresonant background.

Animals↗
PubMed2006

Peroxisome proliferator-activated receptor alpha antagonism inhibits hepatitis C virus replication.

Hepatitis C virus (HCV) is a global health problem and a leading cause of liver disease. Here, we demonstrate that the replication of HCV replicon RNA in Huh-7 cells is inhibited by a peroxisome proliferator-activated receptor (PPAR) antagonist, 2-chloro-5-nitro-N-(pyridyl)benzamide (BA). Downregulation of PPARgamma with RNA interference approaches had no effect on HCV replication in Huh-7 cells, whereas PPARalpha downregulation inhibited HCV replication. Fluorescence and coherent anti-Stokes Raman scattering (CARS) microscopy demonstrate a clear buildup of lipids upon treatment with BA. These observations are consistent with the misregulation of lipid metabolism, phospholipid secretion, cholesterol catabolism, and triglyceride clearance events associated with the inhibition of PPARalpha. The inhibition of HCV replication by BA may result from disrupting lipidation of host proteins associated with the HCV replication complex or, more generally, by disrupting the membranous web where HCV replicates.

Benzamides↗
PubMed2005

Observation of individual microtubule motor steps in living cells with endocytosed quantum dots.

We report the observation of individual steps taken by motor proteins in living cells by following movements of endocytic vesicles that contain quantum dots (QDs) with a fast camera. The brightness and photostability of quantum dots allow us to record motor displacement traces with 300 micros time resolution and 1.5 nm spatial precision. We observed individual 8 nm steps in active transport toward both the microtubule plus- and minus-ends, the directions of kinesin and dynein movements, respectively. In addition, we clearly resolved abrupt 16 nm steps in the plus-end direction and often consecutive 16 nm and occasional 24 nm steps in minus-end directed movements. This work demonstrates the ability of the QD assay to probe the operation of motor proteins at the molecular level in living cells under physiological conditions.

Cell Line, Tumor↗
PubMed2005

Ever-fluctuating single enzyme molecules: Michaelis-Menten equation revisited.

Enzymes are biological catalysts vital to life processes and have attracted century-long investigation. The classic Michaelis-Menten mechanism provides a highly satisfactory description of catalytic activities for large ensembles of enzyme molecules. Here we tested the Michaelis-Menten equation at the single-molecule level. We monitored long time traces of enzymatic turnovers for individual beta-galactosidase molecules by detecting one fluorescent product at a time. A molecular memory phenomenon arises at high substrate concentrations, characterized by clusters of turnover events separated by periods of low activity. Such memory lasts for decades of timescales ranging from milliseconds to seconds owing to the presence of interconverting conformers with broadly distributed lifetimes. We proved that the Michaelis-Menten equation still holds even for a fluctuating single enzyme, but bears a different microscopic interpretation.

Catalysis↗