An Improved Integration Scheme for Mode-Coupling-Theory Equations

Within the mode-coupling theory (MCT) of the glass transition, we reconsider the numerical schemes to evaluate the MCT functional. Here we propose nonuniform discretizations of the wave number, in contrast to the standard equidistant grid, in order to decrease the number of grid points without losing accuracy. We discuss in detail how the integration scheme on the new grids has to be modified from standard Riemann integration. We benchmark our approach by solving the MCT equations numerically for mono-disperse hard disks and hard spheres and by computing the critical packing fraction and the nonergodicity parameters. Our results show that significant improvements in performance can be obtained employing a nonuniform grid.     

Differential effects of bifrontal tDCS on arousal and sleep duration in insomnia patients and healthy controls

Background

Arousal and sleep represent basic domains of behavior, and alterations are of high clinical importance.

Hippocampal and medial prefrontal cortical volume is associated with overnight declarative memory consolidation independent of specific sleep oscillations

The current study was designed to further clarify the influence of brain morphology, sleep oscillatory activity and age on memory consolidation. Specifically, we hypothesized, that a smaller volume of hippocampus, parahippocampal and medial prefrontal cortex negatively impacts declarative, but not procedural, memory consolidation. Explorative analyses were conducted to demonstrate whether a decrease in slow‐wave activity negatively impacts declarative memory consolidation, and whether these factors mediate age effects on memory consolidation. Thirty‐eight healthy participants underwent an acquisition session in the evening and a retrieval session in the morning after night‐time sleep with polysomnographic monitoring. Declarative memory was assessed with the paired‐associate word list task, while procedural memory was tested using the mirror‐tracing task. All participants underwent high‐resolution magnetic resonance imaging. Participants with smaller hippocampal, parahippocampal and medial prefrontal cortex volumes displayed a reduced overnight declarative, but not procedural memory consolidation. Mediation analyses showed significant age effects on overnight declarative memory consolidation, but no significant mediation effects of brain morphology on this association. Further mediation analyses showed that the effects of age and brain morphology on overnight declarative memory consolidation were not mediated by polysomnographic variables or sleep electroencephalogram spectral power variables. Thus, the results suggest that the association between age, specific brain area volume and overnight memory consolidation is highly relevant, but does not necessarily depend on slow‐wave sleep as previously conceptualized.     

Oxygen levels during negative pressure wound therapy

Aim of the studyNegative pressure wound therapy (NPWT) has become an established treatment modality when dealing with chronic and infected wounds. The underlying mechanism of action is still under discussion and remains controversial. Evidence exists showing rather hypoxic conditions as the main reason for the positive results and bacterial clearance. In an attempt to further explain the mechanism of action, we investigated oxygen levels within the foam interface of a NPWT device.Materials and methodsWe used an optical sensor based on the principle of dynamic fluorescence quenching and tested five different commonly available NPWT systems used during our daily clinical routine. All measurements were done in an in vitro experimental design for at least 24 h and multiple vacuum intensities were investigated.ResultsOxygen levels decreased as much as 22.8% and the amount of vacuum applied inversely correlated with the oxygen reduction. A stepwise increase in vacuum of 25 mmHg showed a linear mean drop of 2.75% per setting. All devices were able to maintain a constant level of negative pressure, and no significant difference between the various dressings was found (p > 0.05).ConclusionTherefore, oxygen levels are decreased within the foam of NPWT dressings, likely leading to oxygen deprivation effects in the underlying wound tissue.     

Naphthylphthalamic acid associates with and inhibits PIN auxin transporters

N-1-naphthylphthalamic acid (NPA) is a key inhibitor of directional (polar) transport of the hormone auxin in plants. For decades, it has been a pivotal tool in elucidating the unique polar auxin transport-based processes underlying plant growth and development. Its exact mode of action has long been sought after and is still being debated, with prevailing mechanistic schemes describing only indirect connections between NPA and the main transporters responsible for directional transport, namely PIN auxin exporters. Here we present data supporting a model in which NPA associates with PINs in a more direct manner than hitherto postulated. We show that NPA inhibits PIN activity in a heterologous oocyte system and that expression of NPA-sensitive PINs in plant, yeast, and oocyte membranes leads to specific saturable NPA binding. We thus propose that PINs are a bona fide NPA target. This offers a straightforward molecular basis for NPA inhibition of PIN-dependent auxin transport and a logical parsimonious explanation for the known physiological effects of NPA on plant growth, as well as an alternative hypothesis to interpret past and future results. We also introduce PIN dimerization and describe an effect of NPA on this, suggesting that NPA binding could be exploited to gain insights into structural aspects of PINs related to their transport mechanism.

Many aspects of plant growth are controlled by the hormone auxin. A distinct feature of auxin is that its hormonal action requires it to be actively transported between cells and ultimately throughout the whole plant in a controlled directional or polarized manner, a process known as polar auxin transport (PAT). The ability of plants to perform PAT is ascribed to the auxin export activity of PIN transporters (1). Plasma membrane PINs can be restricted to a specific side of cells (2), and when this polarity is maintained in continuous plant cell files, the combined activity of identically localized PINs results in auxin flowing in that direction (3). This lays the vectorial foundations for PAT to create local auxin gradients and plant-wide PAT streams that are critical for auxin action and normal plant growth (4, 5).Synthetic PAT inhibitors such as N-1-naphthylphthalamic acid (NPA) were initially developed as herbicides and then subsequently exploited by researchers to identify and characterize the unique PAT-based mechanisms that drive plant development (6). Having been used for over six decades, the question as to how NPA actually inhibits PAT has been keenly pursued. Several putative modes of action have been proposed, but the topic remains to date not fully or satisfactorily resolved (6).Early studies established NPA binding with high affinity to membrane-integral components of plant membranes (7–10). With the later discovery of pin1 mutants bearing their distinct bare inflorescences reminiscent of NPA-treated plants (11), followed by identification of the PIN gene family and gradual confirmation that PINs were NPA-sensitive auxin transporters that mediated PAT (1–5), it was apparent that the physiological and genetic evidence overwhelmingly linked NPA to inhibition of PIN activity (6). However, direct molecular association of NPA with PINs has never been reported (6). Instead, a substantial body of data has accumulated suggesting that the NPA target is not PIN itself, but rather other proteins or complexes that either actively coparticipate in PAT or are indirectly involved in control of PAT components (6, 12). Members of the B-family of ABC transporters, such as ABCB1 and ABCB19, showed high-affinity NPA binding and NPA-sensitive auxin export (1, 12–15), thus leading to proposals that they may either physically interact with PINs, or functionally interact such that their nonpolar auxin export activity contributes to PAT and/or to regulation of PINs (12, 16). In these scenarios, PIN/PAT would be rendered vulnerable to the NPA sensitivity of ABCB. However, these schemes are not yet fully resolved, are not fully consistent with key genetic and physiological data (6), and are particularly obfuscated by ABCB1/19 functioning both interactively and independently from PINs (1, 12, 15–20), with ABCB-PIN interaction occurring in an as-yet-unclarified manner (15, 18).A further twist in assigning ABCBs as the main NPA target is their regulation by their chaperone TWD1/FKBP42 (14, 16), with TWD1 itself also being an NPA-binding protein (14, 17). NPA interferes with this regulation and affects TWD1-ABCB interaction, but curiously NPA cannot bind stably to the ABCB-TWD1 complex (14, 17). As TWD1 has also been implicated in NPA-sensitive actin-based PIN trafficking (17), this has led to a model proposing that TWD1 could mediate the NPA sensitivities of both ABCB and PINs, thus presenting TWD1 as a modulator of PAT (17, 21). In an analogous scheme in some plant species, CYPA immunophilins such as tomato DGT, which are functionally similar to TWD1/FKBP42, are suggested to replace TWD1 in modulating auxin transporters and transducing NPA effects to PINs (12, 21).Similar to TWD1, BIG/TIR3 has also been associated with NPA and PIN trafficking (22). Given the undisputed role of trafficking in controlling PIN polarity (5), these reported effects warrant attention, although they are inconsistent with other reports that NPA perturbs neither vesicular trafficking nor actin dynamics in conditions where auxin transport is inhibited (23, 24). Together with trafficking, phosphorylation is another key modulator of PIN polarity as well as activity (5), so it is not surprising to find hypotheses suggesting that NPA could interfere with critical phosphorylation events (6), particularly as PID, a kinase crucial for PIN trafficking and activation, has also been connected to ABCB function and TWD1/ABCB/NPA interactions (25). Others propose that NPA may mimic natural compounds in their capacity as endogenous regulators of PAT, with plant flavonoids being suspected candidates (6, 26). Since flavonoids can compete with or inhibit ATP-binding in mammalian kinases and ABC transporters (27, 28), and as flavonoids can bind to and inhibit PID (25), a phosphorylation-based NPA mode of action would overlap with this hypothesis and poses the question whether NPA acts similarly as an ATP mimic.With these many potential NPA-affected pathways, there is a need to distinguish between low- and high-affinity NPA targets and possible secondary effects due to prolonged PAT inhibition. Current consensus is that low concentrations of NPA (<10 µM) cause direct inhibition of auxin transporters in PAT (21) and the consequent physiological effects seen in planta (IC₅₀ 0.1 to 10 µM) (7, 9, 19, 23, 29). This is associated with high-affinity binding to membranes (K_d 0.01 to 0.1 µM) (7, 8) and the inhibition of PIN/ABCB activity in short-term auxin transport assays (1, 14, 18, 20, 23). In contrast, NPA is thought to affect trafficking (21, 30) and other non-PAT processes (31) when used at higher doses (50 to 200 µM NPA), presumably via binding to its lower-affinity targets, although excessive NPA exposure may also have fast-acting toxic side effects (23). As the in vitro affinity of TWD1 for NPA is surprisingly low (K_d ∼100 µM) (17), the TWD1-mediated NPA effects on PIN/PAT are thought to be of the low-affinity type and linked to trafficking perturbations (17, 21). However, as NPA is always externally applied to plants or cells, it is not clear how or where the drug distributes or accumulates, and thus there may be discrepancies between actual and reported/apparent effective concentrations, as might be the case for TWD1 (17). Finally, NPA also binds with low affinity to inhibit APM1, an aminopeptidase implicated in auxin-related plant growth, but as with trafficking effects, this low-affinity NPA interaction is not connected to direct regulation of PAT (31).Thus, the available data proffer various indirect mechanisms that could lead to NPA inhibition of PIN-mediated PAT, but the proposed schemes have complicating aspects and struggle at times to satisfactorily explain the prime effects of NPA. Here we propose an alternative simpler scenario involving a more direct link between NPA and PINs that would resolve some of these currently outstanding issues. We present evidence from heterologous transport assays, classical in situ membrane binding, and oligomerization studies which collectively suggest that NPA can interact directly in a high-affinity manner with PINs, leading to conformational or structural effects and inhibition of auxin export activity.