A C1C^1-It\^o's formula for flows of semimartingale distributions

We provide an It\^o's formula for $C^1$-functionals on the flows of conditional marginal distributions of a continuous semimartingale. This is based on the notion of the weak Dirichlet process, and extends the $C^1$-It\^o's formula in Gozzi and Russo (2006) to functionals which depend also on marginal distributions of semimartingales. As the first application, we study a class of McKean-Vlasov optimal control problems, and establish a verification theorem by requiring only $C^1$-regularity of its value function, which is equivalently the (viscosity) solution of the associated HJB master equation

Bioinformatic analysis of chicken chemokines, chemokine receptors, and Toll-like receptor 21

Chemokines triggered by Toll-like receptors (TLRs) are small chemoattractant proteins, which mainly regulate leukocyte trafficking in inflammatory reactions via interaction with G protein-coupled receptors. Forty-two chemokines and 19 cognate receptors have been found in the human genome. Prior to this study, only 11 chicken chemokines and 7 receptors had been reported. The objectives of this study were to identify systematically chicken chemokines and their cognate receptor genes in the chicken genome and to annotate these genes and ligand-receptor binding by a comparative genomics approach. Twenty-three chemokine and 14 chemokine receptor genes were identified in the chicken genome. The number of coding exons in these genes and the syntenies are highly conserved between human, mouse, and chicken although the amino acid sequence homologies are generally low between mammalian and chicken chemokines. Chicken genes were named with the systematic nomenclature used in humans and mice based on phylogeny, synteny, and sequence homology. The independent nomenclature of chicken chemokines and chemokine receptors suggests that the chicken may have ligand-receptor pairings similar to mammals. The TLR family represents evolutionarily conserved components of the patternrecognizing receptors (PRRs) of the innate immune system that recognize specific pathogen-associated molecular patterns (PAMPs) through their ectodomains (ECDs). TLR's ECDs contain 19 to 25 tandem copies of leucine-rich repeat (LRR) motifs. TLRs play important roles in the activation of pro-inflammatory cytokines, chemokines and modulation of antigen-specific adaptive immune responses. To date, nine TLRs have been reported in chicken, along with a non-functional TLR8. Two non-mammalian TLRs, TLR21 and TLR22, have been identified in pufferfish and zebrafish. The objectives of this study were to determine if there is the existence of chicken genes homologous to fish-specific TLRs, and if possible ligands of these receptors exist. After searching the chicken genome sequence and EST database, a novel chicken TLR homologous to fish TLR21 was identified. Phylogenetic analysis indicated that the identified chicken TLR is the orthologue of TLR21 in fish. Bioinformatic analysis of potential PAMP binding sites within LRR insertions showed that CpG DNA is the putative ligand of this receptor

Adaptive digital watermarking scheme based on support vector machines and optimized genetic algorithm

Digital watermarking is an effective solution to the problem of copyright protection, thus maintaining the security of digital products in the network. An improved scheme to increase the robustness of embedded information on the basis of discrete cosine transform (DCT) domain is proposed in this study. The embedding process consisted of two main procedures. Firstly, the embedding intensity with support vector machines (SVMs) was adaptively strengthened by training 1600 image blocks which are of different texture and luminance. Secondly, the embedding position with the optimized genetic algorithm (GA) was selected. To optimize GA, the best individual in the first place of each generation directly went into the next generation, and the best individual in the second position participated in the crossover and the mutation process. The transparency reaches 40.5 when GA’s generation number is 200. A case study was conducted on a 256 × 256 standard Lena image with the proposed method. After various attacks (such as cropping, JPEG compression, Gaussian low-pass filtering (3, 0. 5), histogram equalization, and contrast increasing (0.5, 0.6)) on the watermarked image, the extracted watermark was compared with the original one. Results demonstrate that the watermark can be effectively recovered after these attacks. Even though the algorithm is weak against rotation attacks, it provides high quality in imperceptibility and robustness and hence it is a successful candidate for implementing novel image watermarking scheme meeting real timelines

Genome-wide Transcriptome Analysis of Laminar Tissue During the Early Stages of Experimentally Induced Equine Laminitis

Equine laminitis is a debilitating disease that causes extreme sufferring in afflicted horses and often results in a lifetime of chronic pain. The exact sequence of pathophysiological events culminating in laminitis has not yet been characterized, and this is reflected in the lack of any consistently effective therapeutic strategy. For these reasons, we used a newly developed 21,000 element equine-specific whole-genome oligoarray to perform transcriptomic analysis on laminar tissue from horses with experimentally induced models of laminitis: carbohydrate overload (CHO), hyperinsulinaemia (HI), and oligofructose (OF). Samples were collected during the developmental (DEV) and Obel grade 1 (OG1) stages of laminitis for the CHO model. For the HI model, samples were collected at the Obel grade 2 (OG2) stage. For the OF model, samples were collected at the 12 h and 24 h time points. Appropriate control samples were obtained for all models. This is the first genome-wide transcriptome analysis of laminar tissue using an equine 21,000 70-mer long oligoarray approach in CHO, HI and OF induced laminitis. Overall, we identified the differential expression of genes encoding S100 calcium binding proteins, extracellular matrix proteins, glycoproteins, transporters, olfactory receptors, genes involved in signal transduction, body‟s homeostasis, apoptosis, and immune response. Between CHO and OF models of laminitis, there were more shared genes. We discovered several common differentially expressed genes (i.e., ADAMTS1, CYCS and CXCL14) among all three models that are likely important to the pathogenesis of equine laminitis. We also discovered what appear to be central roles of apoptosis, inflammatory response, and intracellular ion homeostasis molecular processes in CHO and OF models of laminitis. Pathway analysis detected the NOD-like receptor signaling pathway, which is involved in recognition of intracellular bacteria in both the CHO and OF models of laminitis. Genetic network analysis indicated convergent pathway core molecules present in equine acute laminitis: p38 MAPK and NF-κB. Most importantly, our results of overexpression of anti-microbial genes (i.e., DEFB4, PI3, and CXCL14) suggest the central involvement of these genes in the progression of early equine laminitis and will allow refinement of current hypotheses of disease pathogenesis

Selection Method for Kernel Function in Nonparametric Extrapolation Based on Multicriteria Decision-Making Technology

Selecting the most appropriate kernel function to extrapolate a load set is the paramount step in compiling load spectrum, as it affects the results of nonparametric extrapolation largely. Aiming at this issue, this paper provides a new approach in selecting kernel function for the nonparametric extrapolation. To solve the complexity and uncertainty of nonparametric extrapolation, characteristics of four kernel functions and their effects on the results are explained in the “from-to” diagram obtained by rainflow counting. Multicriteria decision-making (MCDM) is then applied to solve the selection problem of kernel function. To evaluate the dispersion degrees of the mean and amplitude of a load set accurately, their range, standard deviation, and interquartile range are selected as the evaluation criteria. The weight of each criterion, which represents the impact degree on the selection of the kernel function, is calculated separately using the eigenvector and entropy method. The comprehensive weights are obtained by applying the optimization theory and Jaynes’ maximum entropy principle. Finally, the importance of each criterion is discussed according to their calculated comprehensive weights, and the selection method for kernel functions is obtained, which is illustrated by extrapolating the output torque of the power split device of hybrid electrical vehicles

Saxitoxin Is a Gating Modifier of hERG K+ Channels

Potassium (K+) channels mediate numerous electrical events in excitable cells, including cellular membrane potential repolarization. The hERG K+ channel plays an important role in myocardial repolarization, and inhibition of these K+ channels is associated with long QT syndromes that can cause fatal cardiac arrhythmias. In this study, we identify saxitoxin (STX) as a hERG channel modifier and investigate the mechanism using heterologous expression of the recombinant channel in HEK293 cells. In the presence of STX, channels opened slower during strong depolarizations, and they closed much faster upon repolarization, suggesting that toxin-bound channels can still open but are modified, and that STX does not simply block the ion conduction pore. STX decreased hERG K+ currents by stabilizing closed channel states visualized as shifts in the voltage dependence of channel opening to more depolarized membrane potentials. The concentration dependence for steady-state modification as well as the kinetics of onset and recovery indicate that multiple STX molecules bind to the channel. Rapid application of STX revealed an apparent “agonist-like” effect in which K+ currents were transiently increased. The mechanism of this effect was found to be an effect on the channel voltage-inactivation relationship. Because the kinetics of inactivation are rapid relative to activation for this channel, the increase in K+ current appeared quickly and could be subverted by a decrease in K+ currents due to the shift in the voltage-activation relationship at some membrane potentials. The results are consistent with a simple model in which STX binds to the hERG K+ channel at multiple sites and alters the energetics of channel gating by shifting both the voltage-inactivation and voltage-activation processes. The results suggest a novel extracellular mechanism for pharmacological manipulation of this channel through allosteric coupling to channel gating