Existence results of positive solutions for Kirchhoff type equations via bifurcation methods

In this paper we address the following Kirchhoff type problem \begin{equation*} \left\{ \begin{array}{ll} -\Delta(g(|\nabla u|_2^2) u + u^r) = a u + b u^p& \mbox{in}~\Omega, u>0& \mbox{in}~\Omega, u= 0& \mbox{on}~\partial\Omega, \end{array} \right. \end{equation*} in a bounded and smooth domain $\Omega$ in ${\rm I}\hskip -0.85mm{\rm R}$. By using change of variables and bifurcation methods, we show, under suitable conditions on the parameters $a,b,p,r$ and the nonlinearity $g$, the existence of positive solutions.Comment: 18 pages, 1 figur

Global 5mC and 5hmC levels in sixteen pairs of HCC and non-HCC samples and two HCC cell lines investigated by UPLC-MS/MS

<p>We performed UPLC-MS/MS to investigate global 5mC and 5hmC levels in sixteen pairs of HCC and non-HCC samples and two HCC cell lines (97L and LM6 cells). We found that 5mC and 5hmC were frequently decreased in 71% and 100% of the HCC specimens, respectively, compared with non-HCC specimens. Correspondingly, 5mC and 5hmC levels in the two HCC cell lines remained relatively low.</p

Monolayer of Hydrazine Facilitates the Direct Covalent Attachment of C₆₀ Fullerene to a Silicon Surface

The development of oxygen-free organic–inorganic interfaces has led to new schemes for the functionalization of silicon surfaces with nitrogen-based chemical groups. However, building layers of large structures directly on this functionalized surface has remained elusive. This work confirms the path to form a stable interface between silicon and buckminsterfullerene C₆₀ based on covalent chemical bonds. The starting point for this modification is the hydrazine-reacted Si(111) surface with the diamine functionality, which is further reacted directly with the C₆₀ molecules. The chemistry of this process is confirmed spectroscopically and microscopically and can be used to form organic–inorganic interfaces separated by a single layer of nitrogen

Dehydrohalogenation Condensation Reaction of Phenylhydrazine with Cl-Terminated Si(111) Surfaces

Formation of stable organic–inorganic contacts with silicon often requires oxygen- and carbon-free interfaces. Some of the general approaches to create such interfaces rely on the formation of a Si–N bond. A reaction of dehydrohalogenation condensation of Cl-terminated Si(111) surface with phenylhydrazine is investigated as a means to introduce a simple function to the surface using a −NH-NH₂ moiety as opposed to previously investigated approaches. The use of substituted hydrazine allows for the formation of a stable structure that is less strained compared to the previously investigated primary amines and leads to minimal surface oxidation. The process is confirmed by a combination of infrared studies, X-ray photoelectron spectroscopy, and time-of-flight secondary ion mass spectrometry investigations. Density functional theory is utilized to yield a plausible surface reaction mechanism and provide a set of experimental observables to compare with these data

Role of the Deposition Precursor Molecules in Defining Oxidation State of Deposited Copper in Surface Reduction Reactions on H‑Terminated Si(111) Surface

Surface-limited deposition reactions leading to the formation of copper nanoparticles on H-terminated Si(111) surface can serve as a model for understanding the role of structure of the deposition precursor molecules in determining the oxidation state of the metal deposited. This study compares three different precursor molecules: Cu­(acac)₂ (Cu­(II) acetylacetonate), Cu­(hfac)₂, and Cu­(hfac)­VTMS (Cu­(I)-(hexafluoroacetylacetonato)-vinyltrimethylsilane) as copper deposition sources in a process with a controlled oxidation state of copper. X-ray photoelectron spectroscopy suggests that single-electron reduction governs the deposition of Cu­(I) from the first two precursor molecules and that the last of the precursors studied yields predominantly metallic copper. Time-of-flight secondary ion mass spectrometry (ToF-SIMS) and infrared spectroscopy are utilized to interrogate surface species produced. Atomic force microscopy is used to quantify the deposition process and to follow the size distribution of the deposited copper containing nanoparticles. A plausible explanation supported by density functional theory calculations is offered on the basis of the difference in the reaction pathways for Cu­(I) and Cu­(II) precursors

A novel biologically-inspired target detection method based on saliency analysis for synthetic aperture radar (SAR) imagery

Saliency Object Detection (SOD) models driven by the biologically-inspired Focus of Attention (FOA) mechanism can result in highly accurate saliency maps. However, their application in high-resolution Synthetic Aperture Radar (SAR) images entails a number of intractable problems due to complex backgrounds. In this paper, we propose a novel hierarchical self-diffusion saliency (HSDS) method for detecting vehicle targets in large scale SAR images. To reduce the influence of cluttered returns on saliency analysis, we learn a weight vector from the training set to capture optimal initial saliency of the superpixels during saliency diffusion. By accounting for the multiple sizes of background objects, the saliency analysis is implemented in multi-scale space, and a saliency fusion strategy employed to integrate the multi-scale saliency maps. Simulation experiments demonstrate that our proposed method can produce a more accurate and stable detection performance, with decreased false alarms, compared to benchmark approaches

1282699_Table 1_Effect of supplementation with probiotics or synbiotics on cardiovascular risk factors in patients with metabolic syndrome: a systematic review and meta-analysis of randomized clinical trials.docx

PurposeThe effectiveness of probiotics or synbiotics in adults with metabolic syndromes (MetS) remains controversial, this meta-analysis will further analyze the effects of probiotics or synbiotics on cardiovascular factors in adults with MetS.MethodsWe searched Web of Science, PubMed, Embase, Cochrane Library and other databases for randomized controlled trials (RCTs) on the effects of probiotics or synbiotics on MetS in adults up to July 2023, and used RevMan 5.4.0 software for statistical analysis.ResultsThis analysis included eleven RCTs (n = 608 participants), and the results showed that compared with the control group, supplementation with probiotics or synbiotics reduced body mass index (weighted mean difference, WMD = -0.83, 95% CI = [-1.21, -0.44], P ConclusionSupplementation with probiotics or synbiotics can reduce BMI, LDL-c, FBG in patients with MetS, but our findings did not demonstrate a favorable effect on reducing SBP. Future studies with larger samples and longer intervention periods are needed.</p

Sheet plastination sections of the cavernous sinus.

<p><b>A, B</b> and <b>C</b> are the sagittal, transverse and coronal sections, respectively. <b>D, E</b> and <b>F</b> are the mirror confocal images of the selected areas (dashed-line boxes) of <b>A</b> and <b>C</b>. <b>A:</b> A sagittal section through the cavernous sinus at the level of the lateral edge of the dorsum sellae (DS). Arrows point to the dural roof of the cavernous sinus. Asterisks indicate the areas that are mainly occupied by adipose tissue and small cavernous veins (cv). <b>B:</b> A transverse section at the level of nerves V₁ and VI. Arrows point the lateral meningeal wall of the sinus. Asterisks indicate the dumbbell-shaped adipose zone medial to intracavernous cranial nerves III, IV, V₁ and VI. <b>C:</b> A coronal section at the middle level of the cavernous sinus. A cerebral bridging vein (BV) (see <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0089182#pone-0089182-g002" target="_blank">Figure 2D</a> for its anterior segment) entered the sinus between the lateral meningeal wall (arrows) and nerve V₂. <b>D:</b> The mirror confocal image of the dashed-line box in C, showing that the dural trabeculae (single arrowheads) originate from the medial laminae of the lateral dural wall (arrows) and encircle the branches of nerves V₁ and VI, forming a dural trabecular network. Some dural trabeculae (double arrowheads) spirally encircle a nerve and contribute to the sleeve of the nerve. Asterisk indicates a fine trabecular network. <b>E:</b> The mirror confocal image of an area in the dashed-line circle in A, showing that some dural trabeculae (single arrowheads) from Meckel's cave (MC) longitudinally and loosely accompany a branch of nerve V₁. <b>F:</b> The mirror confocal image of another area in the dashed-line circle in A, showing that the longitudinal dural fibers (single arrowheads) scatter and merge with the fine trabeculae in adipose tissue (asterisks). The dashed-line circles outline the basal membrane of some adipocytes. Double asterisks indicate a small vessel. ACP: anterior clinoid process; BV: cerebral bridging vein; CA: internal carotid artery; cv: cavernous veins; DS: dorsum sellae; MC: Meckel's cave; PG: pituitary gland; Sph: sphenoid bone; TL: temporal lobe; Cranial nerves II, III, IV, V₁, V₂ and VI; bars = 1 mm.</p