We consider the chemotaxis‐Navier–Stokes system 1.1-1.4 (Keller–Segel system) in the whole space, which describes the motion of oxygen‐driven bacteria, eukaryotes, in a fluid. We proved the global existence and time decay estimate of solutions to the Cauchy problem 1.1-1.2 in with the small initial data. Moreover, when the fluid motion is described by the Stokes equations, we established the global weak solutions to 1.3-1.4 in with the potential function ? is small and the initial density n0(x) has finite mass. 相似文献
Angelica sinensis (Danggui, DG) parched with alcohol (Jiu Danggui, JDG) and charred DG are the main processed products of DG, which are used to treat blood stasis syndrome (BSS). However, their therapeutic effect and mechanisms are still unclear. Based on an acute rat BSS model, the intervention effects of DG and its processed products (DGPPs) were evaluated by the hemorheology and coagulation function parameters. Meanwhile, plasma and urine metabolites were detected and analyzed by liquid chromatography coupled to quadrupole time‐of‐flight mass spectrometry and multivariate statistical analysis method. The results of hemorheology, coagulation function parameters and metabolomics all showed that the BSS model was successfully established, DGPPs intervention could significantly relieve rats BSS and the therapeutic effect of JDG was best. Moreover, 23 differential metabolites (14 in plasma and nine in urine) were identified that were closely related to the BSS, involving seven potential target metabolic pathways. DGPP intervention showed different degrees of reverse effect on these metabolites. JDG was the most effective owing to extensive regulation effect on differential metabolites. This study provides a reference for understanding the pathological mechanism of BSS and the mechanism of DGPPs, which lays a theoretical foundation for the rational use of DGPPs in clinical practice. 相似文献
Let be the class of all sense‐preserving homeomorphic self‐mappings of . The aim of this paper is twofold. First, we obtain Heinz‐type inequality for (K,K′)‐quasiconformal mappings satisfying inhomogeneous biharmonic equation Δ(Δω) = g in unit disk with associated boundary value conditions and . Second, we establish biLipschitz continuity for (K,K′)‐quasiconformal mappings satisfying aforementioned inhomogeneous biharmonic equation when and are small enough. 相似文献
Mechanics of Composite Materials - To study the effect of multisize polypropylene fibers on the compression characteristics of concrete cubes, ten sets of polypropylene fiber-reinforced concrete... 相似文献
Withaferin A (WA) is one of the major bioactive steroidal lactones with extensive pharmacological activities present in the plant Withania somnifera. The absolute oral bioavailability of WA remains unknown and human‐related in vitro data are not available. Therefore, in the present study, the absolute oral bioavailability of WA in male rats and the in vitro screening of absorption factors by Q‐trap and LC–MS/MS analysis were conducted to explore possible clinical properties of WA. The developed and validated analytical methods were successfully applied to the pharmacokinetic studies and in vitro measurement of WA. The oral bioavailability was determined to be 32.4 ± 4.8% based on intravenous (5 mg/kg) and oral (10 mg/kg) administrations of WA in male rats. The in vitro results showed that WA could be easily transported across Caco‐2 cells and WA did not show as a substrate for P‐glycoprotein. Moreover, the stability of WA was similar between male rat and human in simulated gastric fluid (stable), in intestinal microflora solution (slow decrease) and in liver microsomes (rapid depletion, with a half‐life of 5.6 min). As such, the first‐pass metabolism of WA was further verified by rat intestine‐liver in situ perfusion, revealing that WA rapidly decreased and 27.1% remained within 1 h, while the content of three major metabolites (M1, M4, M5) identified by Q‐trap increased. This perfusion result is consistent with the oral bioavailability results in vivo. The first‐pass metabolism of WA might be the main barrier in achieving good oral bioavailability in male rats and it is predicted to be similar in humans. This study may hold clinical significance. 相似文献
In this paper, we study the Heinz type inequalities for mappings satisfying Poisson’s equation. Some results generalize the ones obtained by Partyka and Sakan. 相似文献
Two LnIII ions are sandwiched by dinuclear CoII building blocks derived from a tris‐triazamacrocyclic ligand bearing pendant carboxylic acid functionality, 1,3,5‐tris((4,7‐bis(2‐carboxyethyl)‐1,4,7‐triazacyclonon‐1‐yl)methyl)‐benzene (H6L), giving rising to two nanoscale heterometallic metal–organic cages formulated as [Co4Ln2(LH2.5)2(H2O)4]·(ClO4)6·NO3·nH2O [Ln = Dy, n = 12 ( 1 ); Ln = Yb, n = 9 ( 2 )], whose internal cavity accommodates a guest NO3? anion. Their hexanuclear cage‐like architectures are maintained both in solution and solid states as confirmed by mass spectrum as well as X‐ray diffraction experiments. These two cages display ligand‐based fluorescence emissions and therefore both were chosen to be operated as fluorescent chemosensors for the detection of nitroaromatic compounds. Attractively, these metal–organic cages allow highly selective and sensitive detection of picric acid (PA) over other nitroaromatics in solution and suspension, and the fluorescence resonance energy transfer (FRET) between the cage probes and PA is mainly responsible for the remarkable detection efficiency. 相似文献
Capilliposide-A, a rare secondary saponin found in Lysimachia capillipes, has been reported to exhibit good biological activities. However, it is difficult to obtain a sufficient of capilliposide-A for further research through column chromatography and chemical synthesis. The aim of this work was to establish an efficient approach for the convenient preparation of this steroid saponin based on alkaline hydrolysis. The hydrolysis conditions were optimized by response surface methodology after a preliminary investigation of the affecting factors by single-factor experiments. Under the optimal conditions, the macroporous resin that adsorbed capilliposide-B and capilliposide-C was hydrolyzed in an 8% (w/v) NaOH solution at 35 °C for 65 h, and the yield of capilliposide-A was 68.90%. The results demonstrated that this newly developed approach is efficient for the preparation of capilliposide-A, and this approach is also crucial for further development and clinical applications.