Comparative analysis in different organs and tissue-specific metabolite profiling of Atractylodes lancea from four regions by GC–MS and laser microdissection

Traditional Chinese medicine is made from the rhizome of Atractylodes lancea (Thunb.) DC. (Compositae), known as Cangzhu. In this study, gas chromatography-mass spectrometry was used to identify and quantify the volatile oils of different organs of A. lancea from four regions of China: Jiangsu, Anhui, Henan, and Hubei provinces. The volatile oils of A. lancea were qualitatively and quantitatively characterized using gas chromatography-mass spectrometry combined with laser microdissection. The results identified 21 components in A. lancea, the majority of the components were found in the rhizomes, followed by the fibrous roots, flowers, leaves, and stems. According to the contents of volatile oils in A. lancea, it was divided into Dabieshan (mainly includes hinesol and β-eudesmol) and Maoshan types (mainly includes atractylon and atractylodin), and the ratios of hinesol:β-eudesmol:atractylon:atractylodin were 17.06:4.55:0:1, 12.66:11.71:0.99:1, 7.43:6.23:0:1, and 0.13:0.16:1.52:1 in A. lancea from AH, HN, HB, and JS, respectively. Tissue-specific study indicated that Dabieshan type mainly includes elemol, hinesol, and β-eudesmol in the periderm and secretory cavities of A. lancea, whereas Maoshan type mainly includes atractylon, atractylodin, little hinesol, and β-eudesmol in the secretory cavities. Conversely, no volatile oils were detected in the cortex, phloem, xylem, vascular ray, or pith. This study provides a foundation for further evaluation and utilization of A. lancea.     

The manifolds with nonnegative Ricci curvature and collapsing volume

Let be a complete noncompact -manifold with collapsing volume and . The paper proves that is of finite topological type under some restrictions on volume growth.

     

Study of Lotka-volterra food chain chemostat with periodically varying dilution rate

In this paper, we introduce and study a model of Lotka-volterra chemostat food chain chemostat with periodically varying dilution rate, which contains with predator, prey, and substrate. We investigate the subsystem with substrate and prey and study the stability of the periodic solutions, which are the boundary periodic solutions of the system. The stability analysis of the boundary periodic solution yields an invasion threshold. By use of standard techniques of bifurcation theory, we prove that above this threshold there are periodic oscillations in substrate, prey, and predator. Simple cycles may give way to chaos in a cascade of period-doubling bifurcations. Furthermore, we numerically simulate a model with sinusoidal dilution rate, by comparing bifurcation diagrams with different bifurcation parameters, we can see that the system experiences following process: periodic solution → periodic doubling cascade → chaos.     

Analysis of a Monod–Haldene type food chain chemostat with seasonally variably pulsed input and washout

In this paper, we introduce and study a model of a Monod–Haldene type food chain chemostat with seasonally variably pulsed input and washout. We investigate the subsystem with substrate and prey and study the stability of the periodic solutions, which are the boundary periodic solutions of the system. The stability analysis of the boundary periodic solution yields an invasion threshold. By use of standard techniques of bifurcation theory, we prove that above this threshold there are periodic oscillations in substrate, prey and predator. Simple cycles may give way to chaos in a cascade of period-doubling bifurcations. Furthermore, bifurcation diagrams have shown that there exists complexity for the pulsed system including periodic doubling cascade, periodic halving cascade and Pitchfork bifurcations and tangent bifurcations.      

Overpartition function modulo powers of 2

Let \(\overline{p}(n)\) denote the number of overpartitions of n. Recently, congruences modulo powers of 2 for \(\overline{p}(n)\) were widely studied. In this paper, we prove several new infinite families of congruences modulo powers of 2 for \(\overline{p}(n)\). For example, for \(\alpha \ge 1\) and \(n\ge 0\),

$$\begin{aligned} \overline{p}(8\cdot 3^{4\alpha +4}n+5\cdot 3^{4\alpha +3})\equiv 0 \quad (\mathrm{mod}\,\,{2^8}). \end{aligned}$$

     

Parity results for 13-regular partitions and broken 6-diamond partitions

Let \(b_{13}(n)\) denote the number of partitions of n such that no parts are divisible by 13. In this paper, we shall prove several infinite families of congruence relations modulo 2 for \(b_{13}(n)\). In addition, we will give an elementary proof of the parity result on broken 6-diamond partitions, which was established by Radu and Sellers. We also find a new congruence relation modulo 2 for the number of broken 6-diamond partitions of n.     

Divergent Synthesis of Disulfanes and Benzenesulfonothioates Bearing 2-Aminofurans From N-Tosylhydrazone-Bearing Thiocarbamates

An efficient and convenient synthesis of valuable disulfanes and benzenesulfonothioates, having a 2-aminofuran framework, has been developed by employing a copper-catalyzed transformation of readily available N-tosylhydrazone-bearing thiocarbamates. This method features an inexpensive metal catalyst, mild reaction conditions, good functional-group tolerance, short reaction times, and delivers valuable and complex products. A copper carbene generated from an N-tosylhydrazone-bearing thiocarbamate is proposed as the key intermediate for the transformation and it triggers the subsequent cascade. Remarkably, the Ts anion released from N-tosylhydrazone further serves as a nucleophile, thus rendering the formation of benzenesulfonothioates under controlled conditions.     

Cu/Fe‐Cocatalyzed Formation of β‐Ketophosphonates by a Domino Knoevenagel–Decarboxylation–Oxyphosphorylation Sequence from Aromatic Aldehydes and H‐Phosphonates

A domino Knoevenagel–decarboxylation–alkene difunctionalization sequence has been developed for the conversion of benzaldehydes into β‐ketophosphonates, catalyzed by a cooperative Cu/Fe system, whereby C?P and C?O bonds are formed simultaneously in a one‐pot reaction. The reaction proceeds in good yields and with a broad substrate scope and environmentally benign conditions.     

Hydrogen production by ethanol steam reforming over Ni-doped LaNixCo1−xO3−δ perovskites prepared by EDTA-citric acid sol–gel method

Journal of Sol-Gel Science and Technology - Achieving efficient and stable hydrogen production has always been the focus of the industry, and ethanol steam reforming (ESR) is one of the most...     

THE VOLUME AND TOPOLOGY OF A COMPLETE REIMANNIAN MANIFOLD

51. IntroductionAn importallt problem in memannian geometry is whether the manifold is of finite topological type. By it we mean that there is a compact domain fi C M such that M C fi ishomeomorphic to off x [0, co). If the manifold has nonnegative Ricci curvature, some important results have been obtained by mathematicans (see [1,3,4,5,6, etc.]). It is well knownthat if Ric(M)20, one has Gromvo-Bishop volume comparison theorem and for any givenPPM, r > 0,c(n)vol[B(P, 1)]rsvol[B(p, r)]sw…