Jump processes as generalized gradient flows

We have created a functional framework for a class of non-metric gradient systems. The state space is a space of nonnegative measures, and the class of systems includes the Forward Kolmogorov equations for the laws of Markov jump processes on Polish spaces. This framework comprises a definition of a notion of solutions, a method to prove existence, and an archetype uniqueness result. We do this by using only the structure that is provided directly by the dissipation functional, which need not be homogeneous, and we do not appeal to any metric structure

A potential role for RNA interference in controlling the activity of the human LINE-1 retrotransposon

Long interspersed nuclear elements (LINE-1 or L1) comprise 17% of the human genome, although only 80–100 L1s are considered retrotransposition-competent (RC-L1). Despite their small number, RC-L1s are still potential hazards to genome integrity through insertional mutagenesis, unequal recombination and chromosome rearrangements. In this study, we provide several lines of evidence that the LINE-1 retrotransposon is susceptible to RNA interference (RNAi). First, double-stranded RNA (dsRNA) generated in vitro from an L1 template is converted into functional short interfering RNA (siRNA) by DICER, the RNase III enzyme that initiates RNAi in human cells. Second, pooled siRNA from in vitro cleavage of L1 dsRNA, as well as synthetic L1 siRNA, targeting the 5′-UTR leads to sequence-specific mRNA degradation of an L1 fusion transcript. Finally, both synthetic and pooled siRNA suppressed retrotransposition from a highly active RC-L1 clone in cell culture assay. Our report is the first to demonstrate that a human transposable element is subjected to RNAi

Functional polarity is introduced by Dicer processing of short substrate RNAs

Synthetic RNA duplexes that are substrates for Dicer are potent triggers of RNA interference (RNAi). Blunt 27mer duplexes can be up to 100-fold more potent than traditional 21mer duplexes (1). Not all 27mer duplexes show increased potency. Evaluation of the products of in vitro dicing reactions using electrospray ionization mass spectrometry reveals that a variety of products can be produced by Dicer cleavage. Use of asymmetric duplexes having a single 2-base 3′-overhang restricts the heterogeneity that results from dicing. Inclusion of DNA residues at the ends of blunt duplexes also limits heterogeneity. Combination of asymmetric 2-base 3′-overhang with 3′-DNA residues on the blunt end result in a duplex form which directs dicing to predictably yield a single primary cleavage product. It is therefore possible to design a 27mer duplex which is processed by Dicer to yield a specific, desired 21mer species. Using this strategy, two different 27mers can be designed that result in the same 21mer after dicing, one where the 3′-overhang resides on the antisense (AS) strand and dicing proceeds to the ‘right’ (‘R’) and one where the 3′-overhang resides on the sense (S) strand and dicing proceeds to the ‘left’ (‘L’). Interestingly, the ‘R’ version of the asymmetric 27mer is generally more potent in reducing target gene levels than the ‘L’ version 27mer. Strand targeting experiments show asymmetric strand utilization between the two different 27mer forms, with the ‘R’ form favoring S strand and the ‘L’ form favoring AS strand silencing. Thus, Dicer processing confers functional polarity within the RNAi pathway

Deep Sequencing Analyses of DsiRNAs Reveal the Influence of 3′ Terminal Overhangs on Dicing Polarity, Strand Selectivity, and RNA Editing of siRNAs

25/27 Base duplex RNAs that are substrates for Dicer have been demonstrated to enhance RNA interference (RNAi) potency and efficacy. Since the target sites are not always equally susceptible to suppression by small interfering RNA (siRNA), not all 27-mer duplexes that are processed into the corresponding conventional siRNAs show increased potency. Thus random designing of Dicer-substrate siRNAs (DsiRNAs) may generate siRNAs with poor RNAi due to unpredictable Dicer processing. Previous studies have demonstrated that the 3′-overhang affects dicing cleavage site and the orientation of Dicer entry. Moreover, an asymmetric 27-mer duplex having a 3′ two-nucleotide overhang and 3′-DNA residues on the blunt end has been rationally designed to obtain greater efficacy. This asymmetric structure directs dicing to predictably yield a single primary cleavage product. In the present study, we analyzed the in vitro and intracellular dicing patterns of chemically synthesized duplex RNAs with different 3′-overhangs. Consistent with previous studies, we observed that Dicer preferentially processes these RNAs at a site 21–22 nucleotide (nt) from the two-base 3′-overhangs. We also observed that the direction and ability of human Dicer to generate siRNAs can be partially or completely blocked by DNA residues at the 3′-termimi. To examine the effects of various 3′-end modifications on Dicer processing in cells, we employed Illumina Deep sequencing analyses to unravel the fates of the asymmetric 27-mer duplexes. To validate the strand selection process and knockdown capabilities we also conducted dual-luciferase psiCHECK reporter assays to monitor the RNAi potencies of both the “sense” (S) and “antisense” (AS) strands derived from these DsiRNAs. Consistent with our in vitro Dicer assays, the asymmetric duplexes were predictably processed into desired primary cleavage products of 21–22-mers in cells. We also observed the trimming of the 3′ end, especially when DNA residues were incorporated into the overhangs and this trimming ultimately influenced the Dicer-cleavage site and RNAi potency. Moreover, the observation that the most efficacious strand was the most abundant revealed that the relative frequencies of each “S” or “AS” strand are highly correlated with the silencing activity and strand selectivity. Collectively, our data demonstrate that even though the only differences between a family of DsiRNAs was the 3′ two-nuclotide overhang, dicing polarity and strand selectivity are distinct depending upon the sequence and chemical nature of this overhang. Thus, it is possible to predictably control dicing polarity and strand selectivity via simply changing the 3′-end overhangs without altering the original duplex sequence. These optimal design features of 3′-overhangs might provide a facile approach for rationally designing highly potent 25/27-mer DsiRNAs

Temporal order of RNase IIIb and loss-of-function mutations during development determines phenotype in DICER1 syndrome: a unique variant of the two-hit tumor suppression model [v1; ref status: approved with reservations 1, http://f1000r.es/5l9]

Pleuropulmonary blastoma (PPB) is the most frequent pediatric lung tumor and often the first indication of a pleiotropic cancer predisposition, DICER1 syndrome, comprising a range of other individually rare, benign and malignant tumors of childhood and early adulthood. The genetics of DICER1-associated tumorigenesis are unusual in that tumors typically bear neomorphic missense mutations at one of five specific “hotspot” codons within the RNase IIIb domain of DICER 1, combined with complete loss of function (LOF) in the other allele. We analyzed a cohort of 124 PPB children for predisposing DICER1 mutations and sought correlations with clinical phenotypes. Over 70% have inherited or de novo germline LOF mutations, most of which truncate the DICER1 open reading frame. We identified a minority of patients who have no germline mutation, but are instead mosaic for predisposing DICER1 mutations. Mosaicism for RNase IIIb domain hotspot mutations defines a special category of DICER1 syndrome patients, clinically distinguished from those with germline or mosaic LOF mutations by earlier onsets and numerous discrete foci of neoplastic disease involving multiple syndromic organ sites. A final category of patients lack predisposing germline or mosaic mutations and have disease limited to a single PPB tumor bearing tumor-specific RNase IIIb and LOF mutations. We propose that acquisition of a neomorphic RNase IIIb domain mutation is the rate limiting event in DICER1-associated tumorigenesis, and that distinct clinical phenotypes associated with mutational categories reflect the temporal order in which LOF and RNase IIIb domain mutations are acquired during development

Synthesis and characterisation of pyrene-labelled polydimethylsiloxane networks: towards the in situ detection of strain in silicone elastomers

Pyrene-substituted polyhydromethylsiloxanes (PHMS-Py-x) were synthesised by the hydrosilylation reaction of prop-3-enyloxymethylpyrene with polyhydromethylsiloxane (M-n = 3700). The ratio of pyrene substituent to Si-H unit was varied to afford a range of pyrene-functionalised polysiloxanes. These copolymers were subsequently incorporated into polydimethylsiloxane (PDMS) elastomers by curing via either Pt(0) catalysed hydrosilylation with divinyl-terminated PDMS (M-n = 186) and tetrakis(dimethylsiloxy) silane, or Sn(II) catalysed condensation with alpha,omega-dihydroxyPDMS (M-n = 26 000) and tetraethoxysilane. An alternative method involving the synthesis and integration of [3-(pyren-1-ylmethoxy)propyl]triethoxysilane (Py-TEOS) into PDMS elastomers was also investigated: a mixture of alpha,omega-dihydroxyPDMS (M-n = 26 000), tetraethoxysilane, and Py-TEOS was cured using an Sn( II) catalyst. Certain of the resulting fluorescent pyrene-labelled elastomers were studied by differential scanning calorimetry and dynamic mechanical analysis. No significant changes were observed in the thermal or mechanical properties of the elastomers containing pyrene when compared to otherwise identical samples not containing pyrene. All of the pyrene-containing elastomers were demonstrated to be fluorescent under suitable excitation in a photoluminescent spectrometer. Two of the elastomers were placed in a photoluminescence spectrometer and subjected to cycles of extension and relaxation (strain = 0-16.7%) while changes in the emission spectra were monitored. The resulting spectra of the elastomer containing the PHMS-Py-50 copolymers were variable and inconsistent. However, the emission peaks of elastomers containing Py-TEOS displayed clear and reproducible changes in fluorescence intensity upon stretching and relaxation. The intensity of the monomer and excimer emission peaks was observed to increase with elongation of the sample and decrease upon relaxation. Furthermore, the ratio of the intensities of the excimer : monomer peak decreased with elongation and increased with relaxation. In neither case was there appreciable hysteresis, suggesting that fluorescent labelling of elastomers is a valid approach for the non-invasive in situ monitoring of stress and strain in such materials

ABA triblock copolymers: from controlled synthesis to controlled function

The ABA amphiphilic block copolymers, poly(hydroxyethyl methacrylate-hlock-methylphenylsilane-block-hydroxyethyl methacrylate) (PHEMA-PMPS-PHEMA) and poly[oligo(ethylene glycol) methyl ether methacrylate-block-methylphenylsilane-block-oligo(ethylene glycol). methyl ether methacrylate] (POEGMA-PMPS-POEGMA) were successfully synthesised via atom transfer radical polymerisation (ATRP). Macroinitiators suitable for the ATRP of oligo(ethylene glycol) methyl ether methacrylate and 2-hydroxyethyl methacrylate were synthesised from the condensation reaction of alpha,omega-dihalopolymethylphenylsilane and 2'-hydroxyethyl 2-bromo-2-methylpropanoate. The copolymers were characterised using H-1 NMR and C-13 NMR spectroscopy and molecular weight characteristics were determined using size exclusion chromatography and H-1 NMR. The aggregation behaviour of some of the copolymers in water was studied using transmission and scanning electron microscopy and dynamic light scattering. These revealed the prevalent aggregate species to be micelles. Larger aggregates of 300-1000 nm diameter were also observed. The UV induced degradation of the aggregates was studied by UV-Vis spectroscopy. The thermal behaviour of selected copolymers was studied by differential scanning calorimetry and microphase separation of the two components was demonstrated

Hormonal gain control of a medial preoptic area social reward circuit

Neural networks that control reproduction must integrate social and hormonal signals, tune motivation, and invigorate social interactions. However, the neurocircuit mechanisms for these processes remain unresolved. The medial preoptic area (mPOA), an essential node for social behaviors and is comprised of molecularly-diverse neurons with widespread projections. Here, we identify a steroid-responsive subset of neurotensin (Nts) expressing mPOA neurons that interface with the ventral tegmental area (VTA) to form a socially-engaged reward circuit. Using in vivo 2-photon imaging in female mice, we show that mPOANts neurons preferentially encode attractive male cues compared to non-social appetitive stimuli. Ovarian hormone signals regulate both the physiological and cue encoding properties of these cells. Furthermore, optogenetic stimulation of mPOANts-VTA circuitry promotes rewarding phenotypes, social approach, and striatal dopamine release. Collectively, these data demonstrate that steroid-sensitive mPOA neurons encode ethologically-relevant stimuli and co-opt midbrain reward circuits to promote prosocial behavior critical for species survival

Counter-propagating entangled photons from a waveguide with periodic nonlinearity

The conditions required for spontaneous parametric down-conversion in a waveguide with periodic nonlinearity in the presence of an unguided pump field are established. Control of the periodic nonlinearity and the physical properties of the waveguide permits the quasi-phase matching equations that describe counter-propagating guided signal and idler beams to be satisfied. We compare the tuning curves and spectral properties of such counter-propagating beams to those for co-propagating beams under typical experimental conditions. We find that the counter-propagating beams exhibit narrow bandwidth permitting the generation of quantum states that possess discrete-frequency entanglement. Such states may be useful for experiments in quantum optics and technologies that benefit from frequency entanglement.Comment: submitted to Phys. Rev.