Publisher Correction: Probing the strongly driven spin-boson model in a superconducting quantum circuit.

The original PDF and HTML versions of this Article omitted the ORCID ID of the authors L. Magazzù and P. Forn-Díaz. (L. Magazzù: 0000-0002-4377-8387; P. Forn-Diaz: 0000-0003-4365-5157).The original PDF version of this Article contained errors in Eqs. (2), (6), (13), (14), (25), (26). These equations were missing all instances of 'Γ' and 'Δ', which are correctly displayed in the HTML version.Similarly, the inline equation in the third sentence of the caption of Fig. 2 was missing the left hand term 'Ω'.The original HTML version of this Article contained errors in Table 1. The correct version of the sixth row of the first column states 'Figure 2' instead of the original, incorrect 'Figure'. And the correction version of the ninth row of the first column states 'Figure 3' instead of the original, incorrect 'Figure'.This has been corrected in both the PDF and HTML versions of the Article.

Probing the strongly driven spin-boson model in a superconducting quantum circuit.

Quantum two-level systems interacting with the surroundings are ubiquitous in nature. The interaction suppresses quantum coherence and forces the system towards a steady state. Such dissipative processes are captured by the paradigmatic spin-boson model, describing a two-state particle, the "spin", interacting with an environment formed by harmonic oscillators. A fundamental question to date is to what extent intense coherent driving impacts a strongly dissipative system. Here we investigate experimentally and theoretically a superconducting qubit strongly coupled to an electromagnetic environment and subjected to a coherent drive. This setup realizes the driven Ohmic spin-boson model. We show that the drive reinforces environmental suppression of quantum coherence, and that a coherent-to-incoherent transition can be achieved by tuning the drive amplitude. An out-of-equilibrium detailed balance relation is demonstrated. These results advance fundamental understanding of open quantum systems and bear potential for the design of entangled light-matter states.

Solving the jitter problem in microwave compressed ultrafast electron diffraction instruments: Robust sub-50 fs cavity-laser phase stabilization.

We demonstrate the compression of electron pulses in a high-brightness ultrafast electron diffraction instrument using phase-locked microwave signals directly generated from a mode-locked femtosecond oscillator. Additionally, a continuous-wave phase stabilization system that accurately corrects for phase fluctuations arising in the compression cavity from both power amplification and thermal drift induced detuning was designed and implemented. An improvement in the microwave timing stability from 100 fs to 5 fs RMS is measured electronically, and the long-term arrival time stability ([Formula: see text]10 h) of the electron pulses improves to below our measurement resolution of 50 fs. These results demonstrate sub-relativistic ultrafast electron diffraction with compressed pulses that is no longer limited by laser-microwave synchronization.

Brainstem projections to the major respiratory neuron populations in the medulla of the cat.

Efferent and afferent connections of the dorsal and ventral respiratory groups in the medulla of the cat were mapped by axonal transport of wheat germ agglutinin conjugated to horseradish peroxidase. Injections of wheat germ agglutinin-horseradish peroxidase into the dorsal respiratory group and the three principal subdivisions of the ventral respiratory group (caudal, rostral, and Bötzinger Complex) revealed extensive interconnections between these regions and with a limited number of other brainstem neuron populations. Major neuron populations with efferent projections to the regions of the dorsal and ventral respiratory groups include the parabrachial nuclear complex (medial parabrachial, lateral parabrachial, and Kölliker-Fuse nuclei), subregions of the lateral paragigantocellular reticular nucleus, subregions of the lateral and magnocellular tegmental fields, inferior central and postpyramidal nuclei of the raphe, and sensory trigeminal nuclei. A previously unidentified neuron population with extensive efferent projections to the dorsal and ventral respiratory groups was found near the ventral surface of the rostral medulla; we refer to this group as the retrotrapezoid nucleus. The results suggest that the dorsal and ventral respiratory groups form an extensively interconnected neuronal system receiving convergent inputs from the same brainstem nuclear groups, consistent with the hypothesis that the dorsal and ventral groups are primarily sites for integration of sensory and premotor respiratory drive inputs. Neuron populations in the rostral ventrolateral medulla with projections to both the dorsal and ventral respiratory groups, particularly the retrotrapezoid nucleus and neighboring subregions of the lateral paragigantocellular reticular nucleus, are candidate sites for participation in respiratory rhythmogenesis or other critical functions of the brainstem respiratory control system such as intracranial chemoreception.

Resolution of multiphasic reactions by the combination of fluorescence total-intensity and anisotropy stopped-flow kinetic experiments.

Multiphasic kinetics are often observed in stopped-flow investigations. To characterize further these kinetic phases, we have developed a methodology whereby fluorescence total intensity and anisotropy stopped-flow data can be combined in a single analysis. Fluorescence total intensity and anisotropy are highly interrelated and contain two very complementary forms of information. Total-intensity changes are useful in determining changes in populations with differing quantum yields, whereas anisotropy changes contain additional contributions caused by the rotational dynamics of the species. For cases in which the fluorescence quantum yield increases, the observed rate of anisotropy change will be more rapid than the total-intensity change, whereas in cases in which the total intensity decreases, the observed change in anisotropy will lag behind. In all cases, with quantum yield changes the stopped-flow anisotropy signals cannot be fit with models consisting of exponentials. Case studies examining these effects are described for the protein folding/refolding transitions of Staphylococcal nuclease and phosphoglycerate kinase. A multiphasic DNA exonuclease reaction using bacteriophage T4 DNA polymerase is also examined. In all of these cases, combined analysis of both data types revealed insights into reaction mechanism, which could not be obtained by either data type in isolation. Quantum yields and steady-state anisotropies associated with transiently populated intermediate species can be resolved. The data analysis methodologies described allow characterization of multiphasic reactions in terms of internally consistent kinetic rates, quantum yields, and steady-state anisotropies.

Real-time fluorescence assay system for gene transcription: simultaneous observation of protein/DNA binding, localized DNA melting, and mRNA production.

This article describes the development of an in vitro multicolor fluorescence assay system for studying protein/DNA complex formation, transcription bubble formation, and mRNA production. These studies were accomplished using three different fluorescent spectroscopic probes: rhodamine-labeled DNA (at the 5' position) to monitor protein/DNA complex formation, DNA internally labeled with the base analog 2-aminopurine in place of adenine to monitor transcription bubble formation, and gamma-fluorophore-labeled UTP nucleotide to measure mRNA transcription rates. Combining these three assay systems allows the simultaneous determination of protein/DNA binding, localized DNA melting transitions, and mRNA production at physiological concentrations of reagents (pM-nM) and millisecond timing resolution. The application of this multicolor fluorescence assay to Escherichia coli RNA polymerase reactions (binding, open complex formation, and mRNA production) demonstrates the importance of kinetically coupled events in gene transcription.

Influence of 5'-nearest neighbors on the insertion kinetics of the fluorescent nucleotide analog 2-aminopurine by Klenow fragment.

The effects of nearest neighbor interactions between a nucleotide base at the primer 3'-terminus and an incoming deoxyribonucleoside triphosphate on DNA polymerase catalyzed insertion were examined. Kinetics of inserting the fluorescent nucleotide analog 2-aminopurine deoxyribonucleotide (dAPMP) and dAMP opposite a template T by 3'-->5' exonuclease-deficient mutants of Klenow fragment (KF-) were measured on primer/templates of identical sequence except for the base pair at the 3'-primer terminus. In addition to its fluorescence properties, 2-aminopurine (AP) is an attractive probe because it is misinserted opposite T by polymerases at much higher frequencies than natural nucleotides. Misinsertion frequencies for AP are on the same order of magnitude as variations in misinsertion frequencies due to changes in local DNA sequence, which makes the statistical significance of these variations easier to document. We have established that changes in the fluorescence of AP can be used to follow the insertion of dAPMP on both steady-state and pre-steady-state time scales. Rates of insertion of dAPMP measured by fluorescence and by a polyacrylamide gel assay were similar and are sensitive to the identity of the base at the 3'-primer twice as fast as insertion following a primer terminus T. The difference in rates arises primarily from differences in kcat values, which were fastest next to G and slowest next to T, while apparent Km values were similar next to each of the 4 different nearest neighbors. The gel assay was used to measure AP misinsertion efficiencies by two methods: (1) by having dAPTP and dATP directly compete for insertion opposite T in the same reaction and (2) by measuring Vmax/Km values for each substrate in separate reactions. The results from the direct competition and separate kinetics measurements are similar. The misinsertion efficiency of dAPMP relative to dAMP opposite a template T was significantly higher next to a 3'-primer terminus G (f(ins) = 0.31 +/- 0.06) than next to T (f(ins) = 0.15 +/- 0.03) for the KF- single mutant (D42A). The corresponding misinsertion efficiencies next to a 3'-primer terminus G and T were 0.20 +/- 0.02 and 0.16, respectively, for the KF- double mutant (D355A, E357A). Relative rates of insertion of dAPMP and dAMP correlate with melting temperatures calculated for nearest neighbor doublets which reflect the relative base-stacking energies. In addition to changes in insertion kinetics, polymerase-DNA dissociation rates varied with the identity of the 3'-primer terminus, differing by as much as 7-20-fold depending on the polymerase and the primer/template.

Stopped-flow fluorescence study of precatalytic primer strand base-unstacking transitions in the exonuclease cleft of bacteriophage T4 DNA polymerase.

DNA polymerases are complex enzymes which bind primer-template DNA and subsequently either extend or excise the terminal nucleotide on the primer strand. In this study, a stopped-flow fluorescence anisotropy binding assay is combined with real-time measurements of a fluorescent adenine analogue (2-aminopurine) located at the 3'-primer terminus. Using this combined approach, the exact time course associated with protein binding, primer terminus unstacking, and base excision by the 3' --> 5' exonuclease of bacteriophage T4 (T4 pol) was examined. T4 pol binding and dissociation kinetics were found to obey simple kinetics, with identical on rates (kon = 4.6 x 10(8) M-1 s-1) and off rates (koff = 9.3 s-1) for both single-stranded primers and double-stranded primer-templates (at 100 microM Mg2+). Although the time course for T4 pol-DNA association and dissociation obeyed simple kinetics, at suboptimal Mg2+ concentrations (e.g., 100 microM), non-first-order sigmoidal kinetics were observed for the base-unstacking reaction of the primer terminus in double-stranded primer-templates. The observed sigmoidal kinetics for base unstacking demonstrate that T4 pol is a hysteretic enzyme [Frieden, C. (1970) J. Biol. Chem. 245, 5788-5799] and must exist in two DNA bound conformations which differ greatly in base-unstacking properties. A Mg2+-dependent time lag of 10 ms is observed between primer-template binding and the beginning of the unstacking transition, which is 50% complete at 22 +/- 1 ms after addition of 100 microM Mg2+. Following the hysteretic lag, a simple first-order primer terminus unstacking rate of 130 s-1 is resolved, which is protein and Mg2+ concentration-independent. For the processing of single-stranded primers, all kinetic complexity is lost, and T4 pol binding and primer end base-unstacking kinetics can be superimposed. These data reveal that the kinetic processing of double-stranded primer-template DNA by T4 pol is much more complex than that of single-stranded primers, and suggest that the intrinsic "switching rate" between the polymerase and exonuclease sites may be much faster than previously proposed.

Pre-steady-state kinetic analysis of sequence-dependent nucleotide excision by the 3'-exonuclease activity of bacteriophage T4 DNA polymerase.

The effects of local DNA sequence on the proofreading efficiency of wild-type T4 DNA polymerase were examined by measuring the kinetics of removal of the fluorescent nucleotide analog 2-aminopurine deoxynucleoside monophosphate (dAPMP) from primer/templates of defined sequences. The effects of (1) interactions with the 5'-neighboring bases, (2) base pair stability, and (3) G.C content of the surrounding sequences on the pre-steady-state kinetics of dAPMP excision were measured. Rates of excision dAPMP from a primer 3'-terminus located opposite a template T (AP.T base pair) increased, over a 3-fold range, with the 5'-neighbor to AP in the order C < G < T < A. Rates of removal of dAPMP from AP.X base pairs located in the same surrounding sequence increased as AP.T < AP.A < AP.C < AP.G, which correlates with the decrease in the stabilities of these base pairs predicted by Tm measurements. A key finding was that AP was excised at a slower rate when mispaired opposite C located next to four G.C base pairs than when correctly paired opposite T next to four A.T base pairs, suggesting that exonuclease mismatch removal specificities may be enhanced to a much greater extent by instabilities of local primer termini than by specific recognition of incorrect base pairs. In polymerase-initiated reactions, biphasic reaction kinetics were observed for the excision of AP within most but not all sequence contexts. Rates of the rapid phases (30-40 s-1) were relatively insensitive to sequence context. Rapid-phase rates reflect the rate constants for exonucleolytic excision of dAPMP from melted primer termini for both correct and incorrect base pairs and were roughly comparable to rates of removal of dAPMP from single-stranded DNA (65-80 s-1). Rates of the slow phases (3-13 s-1) were dependent on sequence context; the slow phase may reflect the rate of switching from the polymerase to the exonuclease active site, or perhaps the conversion of a primer/template terminus from an annealed to a melted state in the exonuclease active site. These data, using wild-type T4 DNA polymerase and two exonuclease-deficient T4 polymerases, support a model in which exonuclease excision occurs on melted primer 3'-termini for both mismatched and correctly matched primer termini, and where specificity favoring removal of terminally mismatched base pairs is determined by the much larger fraction of melted-out primer 3'-termini for mispairs compared to that for correct pairs.

Exonuclease-polymerase active site partitioning of primer-template DNA strands and equilibrium Mg2+ binding properties of bacteriophage T4 DNA polymerase.

The binding of bacteriophage T4 DNA polymerase (T4 pol) to primer-template DNA with 2-aminopurine (2AP) located at the primer terminus results in the formation of a hyperfluorescent 2AP state. Changes in this hyperfluorescent state were utilized to investigate the fractional concentration of primer-templates bound at the exonuclease and statically quenched polymerase sites. In the absence of Mg2+, a hydrophobic exonuclease site dominates over the polymerase site for possession of the primer terminus. The fractional concentration of primer termini in the exonuclease site was found to be 64 and 84% for correct (AP-T) and mismatched (AP-C) primer-templates, respectively. Exonuclease-deficient mutants, polymerase-switching mutants, and nucleoside triphosphates all shift this equilibrium toward the polymerase site. Synthesis of stereospecific hydrolysis resistant phosphorothioate 2AP-labeled DNA allowed Mg2+ ion binding titrations to be performed in the presence of bound DNA without the complication of the excision reaction. High- and low-affinity Mg2+ binding sites were observed in the presence of bound double-stranded (ds) DNA, with dissociation constants in the micromolar (WT Kd = 5.1 microM) and millimolar (WT Kd = 2.5 mM) concentration ranges. Mg2+ binding was found to be a key "conformational switch" for T4 pol. As the high-affinity Mg2+ binding sites are filled, the primer terminus migrates from the exonuclease site to a highly based stacked polymerase active site. Filling the low-affinity Mg2+ sites further shifts the primer terminus into the polymerase site. As the low-affinity Mg2+ sites are filled, T4 pol "loosens its grip" on the primer terminus, as shown by a large amplitude increase in the nanosecond rotational mobility of 2AP within the bound T4 complex. The hyperfluorescent exonuclease site is spatially localized to 2AP positioned on the primer end. The penultimate (n - 1) position, as well as n - 2 and n - 5 positions, reveals no detectable fluorescent enhancement upon binding. The observed position-dependent fluorescence data, when combined with time-resolved total-intensity and anisotropy data, suggest that the creation of the hyperfluorescent state is caused by phenylalanine 120 (F120) of T4 pol intercalating into 2AP primers much like that observed for phenylalanine 123 of RB69 DNA polymerase intercalating into deoxythymidine primers [Wang, J., et al. (1997) Cell 89, 1087-1099]. As Mg2+ binds in the exonuclease site of T4 pol, the primer terminus appears to be "pulled backward" into the active site, decreasing the concentration of F120-intercalated primer termini, and bringing the exonuclease active site residues closer to the primer terminus scissile phosphate bond.

Neurogenesis of respiratory rhythm and pattern: emerging concepts.

We present three hypotheses related to the nervous system control of breathing in mammals: 1) that neural mechanisms controlling breathing change with state and that the relationship between mechanisms in different states can be described in terms of either modulation or a basic transformation of properties, or both; 2) that the mechanisms generating respiratory rhythm and pattern are separate; and 3) that conditional pacemaker cell activity is the basis for respiratory rhythm in highly reduced states.