Multi-point Monin–Obukhov Similarity Theory in the Convective Atmospheric Surface Layer Using Matched Asymptotic Expansions

The multi-point Monin-Obukhov similarity theory (MMO) scaling properties of the surface-layer statistics were derived analytically, including one-point fluctuation statistics, multi-point statistics, and the mean velocity profile. The Monin-Obukhov similarity theory (MOST) is the foundation for understanding the atmospheric surface layer. While many surface-layer statistics has been shown to follow MOST, a number of important statistics do not conform to MOST due to the incomplete similarity. MMO was proposed by Tong & Nguyen (2015) to address the issue of the incomplete similarity and has been successfully used in predicting turbulence spectra. However, both MOST and MMO were proposed as hypotheses based on phenomenology. Measurements can provide support to them, but cannot positively prove them. In this work, starting from the singularity nature of the convective atmospheric surface layer (CBL), we employ the method of matched asymptotic expansions to analytically derive them. We derive MOST and the local-free-convection (LFC) scaling from the equations for the velocity and potential temperature variances. The different dominance of the buoyancy and shear effects in the outer and inner layers results in a nonuniformly valid solution and a singular perturbation problem. The Obukhov length L is shown to be the length scale of the inner layer and the inner expansions are functions of z/L, where z is the height from the ground, providing a proof of MOST. The LFC scaling is obtained by matching the leading-order terms between the two layers. We also derive the second-order corrections to the leading-order terms. The resulting composite solutions show very good agreement with field data. We derive MMO analytically for the case of the horizontal Fourier transforms of the velocity and potential temperature fluctuations, using the spectral forms of the Navier-Stokes and the potential temperature equations. We show that for the large-scale motions (wavenumber k \u3c 1/z) in a convective surface layer the solution is uniformly valid with respect to z (i.e., as z decreases from z \u3e −L to z \u3c −L). However, for z \u3c −L the solution is not uniformly valid with respective to k as it increases from k \u3c −1/L to k \u3e −1/L, resulting in a singular perturbation problem. We show that (1) −L is the characteristic horizontal length scale; (2) The Fourier transforms satisfy MMO with the nondimensional wavenumber −k L as the independent similarity variable. Two scaling ranges, the convective range and the dynamic range, discovered for z \u3c\u3c −L in Tong & Nguyen (2015) are obtained. We derive the leading-order spectral scaling exponents for the two scaling ranges and the corrections to the scaling ranges for finite ratios of the length scales. The analysis also reveals the dominant dynamics in each scaling range. The analytical derivations of the characteristic horizontal length scale (L) and the validity of MMO for the case of two-point horizontal separations provide strong support to MMO for general multi-point velocity and temperature differences. The mean velocity profile in the CBL is also derived using matched asymptotic expansions with the scaling properties needed provided by MMO. The shear-stress budget equations and the mean momentum equations are employed in the derivation. Three scaling layers are identified: the outer layer, which includes the mixed layer, the inner-outer layer and the inner-inner layer, which includes the roughness layer. There are two overlapping layers: the local-free-convection layer and the log layer, respectively. Two new velocity-defect laws are discovered: the mixed-layer velocity-defect law and the surface-layer velocity-defect law. The LFC mean profile is obtained by asymptotically matching the expansions in the first two layers. The log law is obtained by matching the expansions in the last two layers. The von Kármán constant is obtained using velocity and length scales, and therefore has a physical interpretation. A new friction law, the convective logarithmic friction law, is obtained. The present work provides an analytical derivation of the mean velocity profile hypothesized in MOST

Particle energy and Hawking temperature

Some authors have recently found that the tunneling approach gives a different Hawking temperature for a Schwarzschild black hole in a different coordinate system. In this paper, we find that to work out the Hawking temperature in a different coordinate system by the tunneling approach, we must use the correct definition of the energy of the radiating particles. By using a new definition of the particle energy, we obtain the correct Hawking temperature for a Schwarzschild black hole in two dynamic coordinate systems, the Kruskal-Szekers and dynamic Lemaitre coordinate systems.Comment: 11 pages; Accepted by PL

Simultaneous Extraction and Identification of Phenolic Compounds in Anoectochilus roxburghii Using Microwave-Assisted Extraction Combined with UPLC-Q-TOF-MS/MS and Their Antioxidant Activities

This study used MAE and RSM to extract phenolic compounds from Anoectochilus roxburghii, and the optimum conditions defined by the model to give an optimum yield of 1.31%. The antioxidant activity in vitro showed when the concentration of phenolic compounds was reached 1 mg mL-1, the clearance rates were 82.58% for DPPH and 97.62% for ABTS+. In vivo antioxidant experiments used D-galactose to build oxidative damage in healthy Kunming mice. The result showed that the extractions of A. roxburghii can improve the antioxidant ability and the medium and low dose groups had better ability to scavenge free radicals. The UPLC-Q-TOF-MS/MS was developed to identify 21 kinds of phenolic compounds by molecular mass, ms/ms fragmentation, as well as retention time. The result showed that the phenolic compounds of A. roxburghii had significant potential as a natural antioxidant to promote health and to reduce the risk of disease

Meta-analysis of the association between dietary inflammatory index and cognitive health

BackgroundSome studies have shown that a pro-inflammatory diet may be associated with cognitive function, but their conclusions have varied considerably. We here present a meta-analysis of the current published literature on DII score and its association with cognitive health.MethodsIn this meta-analysis, the PubMed, Embase, Web of Science, and Cochrane databases were searched in September 2022. The reported indexes, specifically OR, RR, and β, were extracted and analyzed using R version 3.1.0.ResultsA total of 636 studies in databases were identified, and 12 were included in the meta-analysis. Higher DII was associated with an increased risk of AD and MCI (OR = 1.34; 95% CI = 1.21–1.49). Meanwhile, it may also cause global function impairment (categorical: OR = 1.63; 95% CI = 1.36–1.96) and verbal fluency impairment (continuous: OR = 0.18; 95% IC = 0.08–0.42). But there was no significant association between DII and executive function (categorical: OR = 1.12; 95% IC = 0.84–1.49; continuous: OR = 0.48; 95% IC = 0.19–1.21) or episodic memory (continuous: OR = 0.56; 95% IC = 0.30–1.03).ConclusionA pro-inflammatory diet is related to AD, MCI, and the functions of some cognitive domains (specifically global function and verbal fluency). However, the current evidence on the role of diet-induced inflammation in different cognitive domains should be supported by further studies in the future

Nrf2−/− regulated lung DNA demethylation and CYP2E1 DNA methylation under PM2.5 exposure

Cytochrome P450 (CYP450) can mediate fine particulate matter (PM2.5) exposure leading to lung injury. Nuclear factor E2-related factor 2 (Nrf2) can regulate CYP450 expression; however, the mechanism by which Nrf2−/− (KO) regulates CYP450 expression via methylation of its promoter after PM2.5 exposure remains unclear. Here, Nrf2−/− (KO) mice and wild-type (WT) were placed in a PM2.5 exposure chamber (PM) or a filtered air chamber (FA) for 12 weeks using the real-ambient exposure system. The CYP2E1 expression trends were opposite between the WT and KO mice following PM2.5 exposure. After exposure to PM2.5,CYP2E1 mRNA and protein levels were increased in WT mice but decreased in KO mice, and CYP1A1 expression was increased after exposure to PM2.5 in both WT and KO mice. CYP2S1 expression decreased after exposure to PM2.5 in both the WT and KO groups. We studied the effect of PM2.5 exposure on CYP450 promoter methylation and global methylation levels in WT and KO mice. In WT and KO mice in the PM2.5 exposure chamber, among the methylation sites examined in the CYP2E1 promoter, the CpG2 methylation level showed an opposite trend with CYP2E1 mRNA expression. The same relationship was evident between CpG3 unit methylation in the CYP1A1 promoter and CYP1A1 mRNA expression, and between CpG1 unit methylation in the CYP2S1 promoter and CYP2S1 mRNA expression. This data suggests that methylation of these CpG units regulates the expression of the corresponding gene. After exposure to PM2.5, the expression of the DNA methylation markers ten-eleven translocation 3 (TET3) and 5-hydroxymethylcytosine (5hmC) was decreased in the WT group but significantly increased in the KO group. In summary, the changes in CYP2E1, CYP1A1, and CYP2S1 expression in the PM2.5 exposure chamber of WT and Nrf2−/− mice might be related to the specific methylation patterns in their promoter CpG units. After exposure to PM2.5, Nrf2 might regulate CYP2E1 expression by affecting CpG2 unit methylation and induce DNA demethylation via TET3 expression. Our study revealed the underlying mechanism for Nrf2 to regulate epigenetics after lung exposure to PM2.5

A heterozygous mutation in NOTCH3 in a Chinese family with CADASIL

Introduction: Cerebral autosomal-dominant arteriopathy with subcortical infarcts and leukoencephalopathy (CADASIL) is an autosomal-dominant systemic vascular disease that primarily involves small arteries. Patients with CADASIL experience migraines, recurrent ischemic strokes, cognitive decline, and dementia. The NOTCH3 gene, which is located on chromosome 19p13.12, is one of the disease-causing genes in CADASIL. Herein, we investigate the genetic and phenotypic features in a Chinese CADASIL family with heterozygous NOTCH3 mutation.Methods and Results: In the family, the proband suffered from dizziness, stroke, and cognitive deficits. Brain magnetic resonance imaging (MRI) demonstrated symmetrical white matter lesions in the temporal lobe, outer capsule, lateral ventricle, and deep brain. Whole-exome sequencing identified a known missense mutation in the proband, c.397C>T (p.Arg133Cys), which was identified in his son and granddaughter using Sanger sequencing. The proband’s younger brother and younger sister also have a history of cognitive impairment or cerebral infarction, but do not have this genetic mutation, which may highlight the impact of lifestyle on this neurological disease.Conclusion: We identified a known CADASIL-causing mutation NOTCH3 (c.397C>T, p.Arg133Cys) in a Chinese family. The clinical manifestations of mutation carriers in this family are highly heterogeneous, which is likely a common feature for the etiology of different mutations in CADASIL. Molecular genetic analyses are critical for accurate diagnosis, as well as the provision of genetic counselling for CADASIL

Self-assembling supramolecular dendrimer nanosystem for PET imaging of tumors

Bioimaging plays an important role in cancer diagnosis and treatment. However, imaging sensitivity and specificity still constitute key challenges. Nanotechnology-based imaging is particularly promising for overcoming these limitations because nanosized imaging agents can specifically home in on tumors via the "enhanced permeation and retention" (EPR) effect, thus resulting in enhanced imaging sensitivity and specificity. Here, we report an original nanosystem for positron emission tomography (PET) imaging based on an amphiphilic dendrimer, which bears multiple PET reporting units at the terminals. This dendrimer is able to self-assemble into small and uniform nanomicelles, which accumulate in tumors for effective PET imaging. Benefiting from the combined dendrimeric multivalence and EPR-mediated passive tumor targeting, this nanosystem demonstrates superior imaging sensitivity and specificity, with up to 14-fold increased PET signal ratios compared with the clinical gold reference 2-fluorodeoxyglucose ([18F]FDG). Most importantly, this dendrimer system can detect imaging-refractory low-glucose-uptake tumors that are otherwise undetectable using [18F]FDG. In addition, it is endowed with an excellent safety profile and favorable pharmacokinetics for PET imaging. Consequently, this dendrimer nanosystem constitutes an effective and promising approach for cancer imaging. Our study also demonstrates that nanotechnology based on self-assembling dendrimers provides a fresh perspective for biomedical imaging and cancer diagnosis