Diffusion of transcription factors can drastically enhance the noise in gene expression

We study by Green's Function Reaction Dynamics the effect of the diffusive motion of repressor molecules on the noise in mRNA and protein levels for a gene that is under the control of a repressor. We find that spatial fluctuations due to diffusion can drastically enhance the noise in gene expression. After dissociation from the operator, a repressor can rapidly rebind to the DNA. Our results show that the rebinding trajectories are so short that, on this timescale, the RNA polymerase (RNAP) cannot effectively compete with the repressor for binding to the promoter. As a result, a dissociated repressor molecule will on average rebind many times, before it eventually diffuses away. These rebindings thus lower the effective dissociation rate, and this increases the noise in gene expression. Another consequence of the timescale separation between repressor rebinding and RNAP association is that the effect of spatial fluctuations can be described by a well-stirred, zero-dimensional, model by renormalizing the reaction rates for repressor-DNA (un) binding. Our results thus support the use of well-stirred, zero-dimensional models for describing noise in gene expression. We also show that for a fixed repressor strength, the noise due to diffusion can be minimized by increasing the number of repressors or by decreasing the rate of the open complex formation. Lastly, our results emphasize that power spectra are a highly useful tool for studying the propagation of noise through the different stages of gene expression.     

The in vivo dynamic interplay of MDC1 and 53BP1 at DNA damage-induced nuclear foci

MDC1 (NFBD1) and 53BP1 are critical mediators of the mammalian DNA damage response (DDR) at nuclear foci. Here we show by quantitative imaging assays that MDC1 and 53BP1 are similar in total copy number (~1200 copies per focus), but differ substantially in dynamics at both replication-associated nuclear bodies in normal cells and DNA repair foci in ionizing radiation (IR)-damaged cells. The majority of MDC1 (~80%) is extremely mobile and under continuous exchange, with only a small fraction (~20%) remaining immobile at foci irrespective of IR treatment. By contrast, 53BP1 has a smaller mobile fraction (~35%) and a larger immobile fraction (~65%) at nuclear bodies, and becomes more dynamic (~20% increase in mobile pool) upon IR-induced DNA damage. More specifically, the dynamics of 53BP1 is dependent on a minimal foci-targeting region (1231-1709), and differentially regulated by its N-terminus (1-1231) and C-terminal tBRCT domain (1709-1972). Furthermore, MDC1 knockdown, or disruption of 53BP1-MDC1 interaction, reduced the number of 53BP1 molecules at foci by ~60%, but only modestly affected 53BP1 retention. This novel in vivo evidence reveals distinct dynamics of MDC1 and 53BP1 at different types of nuclear structures, and shows that MDC1 directly recruits and retains a subset of 53BP1 for DNA repair.     

Aldolase exists in both the fluid and solid phases of cytoplasm [published erratum appears in J Cell Biol 1988 Dec;107(6 Pt 1):following 2463]

We have prepared a functional fluorescent analogue of the glycolytic enzyme aldolase (rhodamine [Rh]-aldolase), using the succinimidyl ester of carboxytetramethyl-rhodamine. Fluorescence redistribution after photobleaching measurements of the diffusion coefficient of Rh-aldolase in aqueous solutions gave a value of 4.7 x 10(-7) cm2/S, and no immobile fraction. In the presence of filamentous actin, there was a 4.5-fold reduction in diffusion coefficient, as well as a 36% immobile fraction, demonstrating binding of Rh-aldolase to actin. However, in the presence of a 100-fold molar excess of its substrate, fructose 1,6-diphosphate, both the mobile fraction and diffusion coefficient of Rh-aldolase returned to control levels, indicating competition between substrate binding and actin cross-linking. When Rh-aldolase was microinjected into Swiss 3T3 cells, a relatively uniform intracellular distribution of fluorescence was observed. However, there were significant spatial differences in the in vivo diffusion coefficient and mobile fraction of Rh-aldolase measured with fluorescence redistribution after photobleaching. In the perinuclear region, we measured an apparent cytoplasmic diffusion coefficient of 1.1 x 10(-7) cm2/s with a 23% immobile fraction; while measurements in the cell periphery gave a value of 5.7 x 10(-8) cm2/s, with no immobile fraction. Ratio imaging of Rh-aldolase and FITC-dextran indicated that FITC-dextran was relatively excluded excluded from stress fiber domains. We interpret these data as evidence for the partitioning of aldolase between a soluble fraction in the fluid phase and a fraction associated with the solid phase of cytoplasm. The partitioning of aldolase and other glycolytic enzymes between the fluid and solid phases of cytoplasm could play a fundamental role in the control of glycolysis, the organization of cytoplasm, and cell motility. The concepts and experimental approaches described in this study can be applied to other cellular biochemical processes.     

Visualization and tracking of single protein molecules in the cell nucleus

A recently developed laser fluorescence videomicroscopy method was used to determine for the first time the intranuclear trajectories of single protein molecules. Using the recombinant Escherichia coli beta-galactosidase protein P4K, labeled with an average of 4.6 ALEXA 488 chromophores per tetramer, single P4K molecules could be localized and tracked in the nuclei of permeabilized 3T3 cells at a spatial accuracy of approximately 30 nm and a time resolution of 18 ms. Our previous photobleaching measurements indicated that P4K had two fractions inside the nucleus, a larger mobile and a smaller immobile fraction. The present study supported this observation but revealed a much larger variety of mobility classes. Thus, a fraction of P4K molecules appeared to be truly immobile while another fraction was mobile but confined to very small areas. In addition, a large fraction of the P4K molecules appeared to be mobile and to move over extended distances by diffusion. However, a quantitative analysis showed that at least two subpopulations were present differing widely in diffusion coefficients. Importantly, both the diffusion coefficients and the fractions of these subpopulations were time-dependent. Our results suggest that proteins can move inside the nucleus over extended distances by diffusion. However, intranuclear protein diffusion is severely restricted, most likely by multiple association-dissociation events and/or impermeable obstacles.     

Cellular effects of endotoxin in vitro: mobility of endotoxin in the plasma membrane of hepatocytes and neuroblastoma cells

Lipopolysaccharide labeled with fluorescein isothiocyanate (FITC-LPS) was used to examine interactions between endotoxin and plasma membrane in isolated rat hepatocytes and mouse neuroblastoma NB41A3 cells. At the same endotoxin to cell ratio, hepatocytes bound more toxin than did neuroblastoma cells. At a dose of 12 micrograms/mg dry wt, a bound mobile fraction of between 60 and 75% of FITC-LPS was found on hepatocytes at 25 degrees C with a lateral diffusion coefficient (D) of 4.0 X 10(-9) cm2/s. In neuroblastoma cells, the mobile fraction was larger (85-90%), with D 1.0 X 10(-8) cm2/s. D was temperature-dependent between 10 and 37 degrees C and increased from 1.8 X 10(-9) to 1.0 X 10(-8) cm2/s in hepatocytes and from 9.4 X 10(-9) to 1.9 X 10(-8) cm2/s in neuroblastoma cells. In both types of cell, nonviable (cells which did not exclude Trypan blue) as compared to viable cells showed different recovery patterns and 100% of the probe molecules were mobile. These results suggest that: (1) endotoxin binding to mammalian cells consists of two subpopulations with different mobilities; (2) binding of the immobile fraction is dependent on cellular integrity; and (3) the differences in binding, lateral mobility, and size of the immobile fraction in hepatocytes and neuroblastoma cells may be due to variations in membrane composition and/or number of binding sites.     

Depth-of-Focus Correction in Single-Molecule Data Allows Analysis of 3D Diffusion of the Glucocorticoid Receptor in the Nucleus

Single-molecule imaging of proteins in a 2D environment like membranes has been frequently used to extract diffusive properties of multiple fractions of receptors. In a 3D environment the apparent fractions however change with observation time due to the movements of molecules out of the depth-of-field of the microscope. Here we developed a mathematical framework that allowed us to correct for the change in fraction size due to the limited detection volume in 3D single-molecule imaging. We applied our findings on the mobility of activated glucocorticoid receptors in the cell nucleus, and found a freely diffusing fraction of 0.49±0.02. Our analysis further showed that interchange between this mobile fraction and an immobile fraction does not occur on time scales shorter than 150 ms.     

Solution-state NMR investigation of DNA binding interactions in Escherichia coli formamidopyrimidine-DNA glycosylase (Fpg): a dynamic description of the DNA/protein interface

Formamidopyrimidine-DNA glycosylase (Fpg) is a base excision repair (BER) protein that removes oxidative DNA lesions. Recent crystal structures of Fpg bound to DNA revealed residues involved in damage recognition and enzyme catalysis, but failed to shed light on the dynamic nature of the processes. To examine the structural and dynamic changes that occur in solution when Fpg binds DNA, NMR spectroscopy was used to study Escherichia coli Fpg free in solution and bound to a double-stranded DNA oligomer containing 1,3-propanediol (13-PD), a non-hydrolyzable abasic-site analogue. Only 209 out of a possible 251 (83%) free-precession 15N/1H HSQC cross peaks were observed and 180 of these were assignable, indicating that approximately 30% of the residues undergo intermediate motion on the NMR timescale, broadening the resonances beyond detection or making them intractable in backbone assignment experiments. The majority of these affected residues were in the polypeptide linker region and the interface between the N- and C-terminal domains. DNA titration experiments revealed line broadening and chemical shift perturbations for backbone amides nearby and distant from the DNA binding surface, but failed to quench the intermediate timescale motion observed for free Fpg, including those residues directly involved in DNA binding, notwithstanding a nanomolar dissociation constant for 13-PD binding. Indeed, after binding to 13-PD, at least approximately 40% of the Fpg residues undergo intermediate timescale motion even though all other residues exhibit tight DNA binding characteristic of slow exchange. CPMG-HSQC experiments revealed millisecond to microsecond motion for the backbone amides of D91 and H92 that were quenched upon binding 13-PD. In free Fpg, heteronuclear 1H-15N NOE experiments detected picosecond timescale backbone motion in the alphaF-beta9 loop, the region primarily responsible for chemically discriminating 8-oxoguanine (8-oxoG) over normal guanine, that was quenched after binding 13-PD. Collectively, these observations reveal that, in solution, Fpg is a very dynamic molecule even after binding damaged DNA. Such motion, especially at the DNA binding surface, may be key to its processive search for DNA damage and its catalytic functions once it recognizes damaged DNA.     

Dynamic transition associated with the thermal denaturation of a small Beta protein

We studied the temperature dependence of the picosecond internal dynamics of an all-beta protein, neocarzinostatin, by incoherent quasielastic neutron scattering. Measurements were made between 20 degrees C and 71 degrees C in heavy water solution. At 20 degrees C, only 33% of the nonexchanged hydrogen atoms show detectable dynamics, a number very close to the fraction of protons involved in the side chains of random coil structures, therefore suggesting a rigid structure in which the only detectable diffusive movements are those involving the side chains of random coil structures. At 61.8 degrees C, although the protein structure is still native, slight dynamic changes are detected that could reflect enhanced backbone and beta-sheet side-chain motions at this higher temperature. Conversely, all internal dynamics parameters (amplitude of diffusive motions, fraction of immobile scatterers, mean-squared vibration amplitude) rapidly change during heat-induced unfolding, indicating a major loss of rigidity of the beta-sandwich structure. The number of protons with diffusive motion increases markedly, whereas the volume occupied by the diffusive motion of protons is reduced. At the half-transition temperature (T = 71 degrees C) most of backbone and beta-sheet side-chain hydrogen atoms are involved in picosecond dynamics.     

Differential distribution, clustering, and lateral diffusion of subtypes of the inositol 1,4,5-trisphosphate receptor

Regulation of inositol 1,4,5-trisphosphate (IP(3)) receptors (IP(3)R) by IP(3) and Ca(2+) allows them to initiate and regeneratively propagate intracellular Ca(2+) signals. The distribution and mobility of IP(3)R determines the spatial organization of these Ca(2+) signals. Until now, there has been no systematic comparison of the distribution and mobility of the three mammalian IP(3)R subtypes in a uniform background. We used confocal microscopy and fluorescence recovery after photobleaching to define these properties for each IP(3)R subtype expressed heterologously in COS-7 cells. IP(3)R1 and IP(3)R3 were uniformly distributed within the membranes of the endoplasmic reticulum (ER), but the distribution of IP(3)R2 was punctate. The mobile fractions (M(f) = 84 ± 2 and 80 ± 2%) and diffusion coefficients (D = 0.018 ± 0.001 and 0.016 ± 0.002 μm(2)/s) of IP(3)R1 and IP(3)R3 were similar. Other ER membrane proteins (ryanodine receptor type 1 and sarco/endoplasmic reticulum Ca(2+)-ATPase type 1) and a luminal protein (enhanced GFP with a KDEL retrieval sequence) had similar mobile fractions, suggesting that IP(3)R1 and IP(3)R3 move freely within an ER that is largely, although not entirely, continuous. IP(3)R2 was less mobile, but IP(3)R2 mobility differed between perinuclear (M(f) = 47 ± 4% and D = 0.004 ± 0.001 μm(2)/s) and near-plasma membrane (M(f) = 64 ± 6% and D = 0.013 ± 0.004 μm(2)/s) regions, whereas IP(3)R3 behaved similarly in both regions. We conclude that IP(3)R1 and IP(3)R3 diffuse freely within a largely continuous ER, but IP(3)R2 is more heterogeneously distributed and less mobile, and its mobility differs between regions of the cell.     

The in vivo dynamic organization of BRCA1-A complex proteins at DNA damage-induced nuclear foci

The breast cancer associated gene 1 (BRCA1)‐A protein complex assembles at DNA damage‐induced nuclear foci to facilitate repair of double‐stranded breaks. Here, we describe the first systematic comparison of the dynamics, copy number and organization of its core components at foci. We show that the protein pools at individual foci generally comprise a small immobile fraction (～20%) and larger mobile fraction (～80%), which together occupy the same focal space but exist at different densities. In the mobile fraction, Abraxas (CCDC98) and the heterodimer BARD1–BRCA1 share similar rates of dynamic exchange (complete turnover in ～500 seconds). In contrast, RAP80, which is required for initial foci assembly, was more dynamic with 25‐fold faster turnover at mature foci. In addition, Abraxas, BARD1, BRCA1 and Merit40 (NBA1) were stably retained in the immobile fraction of foci under conditions causing loss of BRCC36 and RAP80, suggesting a shift to RAP80‐independent localization after foci formation. These results, combined with our finding that RAP80 (～1200 copies per focus) is twofold more abundant than Abraxas/BARD1/BRCA1 at foci, suggest new models defining the dynamic organization of BRCA1‐A complex at mature foci, wherein the unusually fast turnover of RAP80 may contribute to its regulation of BRCA1‐dependent DNA repair.     

Microsecond rotational motion of spin-labeled myosin heads during isometric muscle contraction. Saturation transfer electron paramagnetic resonance.

We have used saturation transfer electron paramagnetic resonance (ST-EPR) to detect the microsecond rotational motions of spin-labeled myosin heads in bundles of skinned muscle fibers, under conditions of rigor, relaxation, and isometric contraction. Experiments were performed on fiber bundles perfused continuously with an ATP-regenerating system. Conditions were identical to those we have used in previous studies of myosin head orientation, except that the fibers were perpendicular to the magnetic field, making the spectra primarily sensitive to rotational motion rather than to the orientational distribution. In rigor, the high intensity of the ST-EPR signal indicates the absence of microsecond rotational motion, showing that heads are all rigidly bound to actin. However, in both relaxation and contraction, considerable microsecond rotational motion is observed, implying that the previously reported orientational disorder under these conditions is dynamic, not static, on the microsecond time scale. The behavior in relaxation is essentially the same as that observed when myosin heads are detached from actin in the absence of ATP (Barnett and Thomas, 1984), corresponding to an effective rotational correlation time of approximately 10 microseconds. Slightly less mobility is observed during contraction. One possible interpretation is that in contraction all heads have the same mobility, corresponding to a correlation time of approximately 25 microseconds. Alternatively, more than one motional population may be present. For example, assuming that the spectrum in contraction is a linear combination of those in relaxation (mobile) and rigor (immobile), we obtained a good fit with a mole fraction of 78-88% of the heads in the mobile state.(ABSTRACT TRUNCATED AT 250 WORDS)     

Constrained diffusion or immobile fraction on cell surfaces: a new interpretation.

Protein lateral mobility in cell membranes is generally measured using fluorescence photobleaching recovery (FPR). Since the development of this technique, the data have been interpreted by assuming free Brownian diffusion of cell surface receptors in two dimensions, an interpretation that requires that a subset of the diffusing species remains immobile. The origin of this so-called immobile fraction remains a mystery. In FPR, the motions of thousands of particles are inherently averaged, inevitably masking the details of individual motions. Recently, tracking of individual cell surface receptors has identified several distinct types of motion (Gross and Webb, 1988; Ghosh and Webb, 1988, 1990, 1994; Kusumi et al. 1993; Qian et al. 1991; Slattery, 1995), thereby calling into question the classical interpretation of FPR data as free Brownian motion of a limited mobile fraction. We have measured the motion of fluorescently labeled immunoglobulin E complexed to high affinity receptors (Fc epsilon RI) on rat basophilic leukemia cells using both single particle tracking and FPR. As in previous studies, our tracking results show that individual receptors may diffuse freely, or may exhibit restricted, time-dependent (anomalous) diffusion. Accordingly, we have analyzed FPR data by a new model to take this varied motion into account, and we show that the immobile fraction may be due to particles moving with the anomalous subdiffusion associated with restricted lateral mobility. Anomalous subdiffusion denotes random molecular motion in which the mean square displacements grow as a power law in time with a fractional positive exponent less than one. These findings call for a new model of cell membrane structure.