We are concerned with the properties of weak solutions for the relativistic Vlasov–Klein–Gordon system. Under some suitable regularity hypotheses on the density of particles and field, we show the ...renormalization property and global (local) entropy conservation laws. In addition, by virtue of the additional integrability condition
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, we prove that global (local) energy for the weak solutions are conserved.
Cancer is a leading cause of mortality globally, characterized by intricate molecular alterations, including epigenetic changes such as glycosylation. This study presents a comprehensive pan-cancer ...analysis of Polypeptide N-Acetylgalactosaminyltransferase 7 (GALNT7), an enzyme involved in mucin-type O-linked protein glycosylation. GALNT7 has previously been linked to various cancers, but a unified analysis across cancer types is lacking.
Leveraging data from TCGA, GTEx, and other sources, we scrutinized GALNT7's expression, prognostic relevance, links to immune-related genes, immune cell infiltration, and its involvement in tumor genetic heterogeneity across 33 cancer types. GALNT7 exhibited diverse expression patterns across cancer types, showcasing its potential as an oncogenic factor, with its expression levels linked to both positive and negative prognoses, highlighting the context-specific nature of its role in cancer progression.
We delved into the intricate interplay between GALNT7 and immune genes, unveiling positive and negative correlations, underscoring complex interactions in the tumor microenvironment. GALNT7 was found to impact immune cell infiltration, which could have implications for treatment strategies. Additionally, GALNT7 displayed associations with genetic tumor aspects, encompassing genomic instability, DNA repair issues, and genetic mutations, hinting at its pivotal role in shaping the genetic landscape of diverse cancers.
Enrichment analysis uncovered potential functions of GALNT7 beyond glycosylation, such as its participation in signaling pathways and its association with various diseases, notably cancer.
This comprehensive analysis elucidates the multifaceted role of GALNT7 in cancer biology, underlining its potential as a therapeutic target and biomarker across various cancer types. These findings provide valuable insights for future research and the development of personalized cancer treatment strategies.
In this paper, the relativistic Vlasov-Klein-Gordon system in one dimension is investigated. This non-linear dynamics system consists of a transport equation for the distribution function combined ...with Klein-Gordon equation. Without any assumption of continuity or compact support of any initial particle density $f_{0}$, we prove the existence and uniqueness of the mild solution via the iteration method. KCI Citation Count: 1
Density-functional theory calculations are performed to investigate the effects of surface modifications and nanosheet thickness on the electronic and magnetic properties of gallium nitride (GaN) ...nanosheets (NSs). Unlike the bare GaN NSs terminating with polar surfaces, the systems with hydrogenated Ga (H-GaN), fluorinated Ga (F-GaN), and chlorinated Ga (Cl-GaN) preserve their initial wurtzite structures and exhibit ferromagnetic states. The abovementioned three different decorations on Ga atoms are energetically more favorable for thicker GaN NSs. Moreover, as the thickness increases, H-GaN and F-GaN NSs undergo semiconductor to metal and half-metal to metal transition, respectively, while Cl-GaN NSs remain completely metallic. The predicted diverse and tunable electronic and magnetic properties highlight the potential of GaN NSs for novel electronic and spintronic nanodevices.
(a and b) Atomic and band structures of 2-F-GaN NS, and (c) electronic and magnetic properties of different GaN NSs.
MXenes have been widely studied for their excellent specific surface area, high conductivity and composition tunability, which have been used as a highly efficient electrode material for lithium-ion ...batteries(LIBs).However, limited storage capacity and severe lattice expansion caused by Li-ions diffusion restrict the application of MXenes as electrode materials. Here, Ti3C2 MXenes with surface halogenation(fluorination, chlorination and bromination) as representative MXene materials were designed. Effects of surface functionalization on the atomic structures, electronic properties, mechanical properties, and electrochemical performance of Ti3C2T2(T = F, Cl and Br)anode in LIBs were investigated using first-principles calculations based on density functional theory with van der Waals correction. The results reveal that Ti3C2T2 MXenes exhibit metallic conductivity with improved structural stability and mechanical strength. Compared with Ti3C2F2 and Ti3C2Br2, Ti3C2Cl2 exhibits the large elastic modulus(321.70 and 329.43 N/m along x and y directions, respectively), low diffusion barrier(0.275 eV), high open circuit voltage(0.54 eV), and storage capacity(674.21 mA·h/g) with stoichiometric ratio of Ti3C2Cl2Li6, which renders the enhanced rate performance and endures the repeated lattice expansion and contraction during the charge/discharge process. Moreover, surface chlorination yields expanded interlayer spacing, which can improve Li-ion accessibility and fast charge–discharge rate in Ti3C2Cl2. The research demonstrates that Cl– terminated Ti3C2 is a promising anode material, and provides effective and reversible routes to engineering other MXenes as anode materials for LIBs.
This article is devoted to the study of the relativistic Vlasov-Klein-Gordon system in space dimension three. The dynamical model describes a collisionless ensemble of classical particles coupled ...with a Klein-Gordon field. By combining the Fourier method and smoothing effect of low velocity particles, we prove a higher regularity of the field, which is widely used for the study of Vlasov equation.
Although high-flow humidified oxygen therapy (HFNC) has emerged as an important treatment for respiratory failure, few studies have reported on whether HFNC is appropriate for patients with hypoxemia ...after cardiac surgery, and the clinical efficacy of HFNC in patients undergoing cardiac surgery is unclear.
To investigate the clinical effect of HFNC after cardiac surgery.
Convenience sampling was used to select 76 patients who underwent invasive mechanical ventilation and oxygen therapy after valve replacement or coronary artery bypass grafting from July 2019 to June 2021. The patients were divided into the routine group and the HFNC group according to the oxygen therapy provided after the operation. The patients in the routine group (N = 38) were treated with oxygen inhalation by face mask after the operation, while those in the HFNC group (N = 38) were treated with HFNC via nasal cavity. The arterial partial pressure of oxygen (PaO2), the arterial partial pressure of carbon dioxide (PaCO2) and the oxygenation index (OI) were observed and compared between the two groups at 6 h, 12 h and 24 h after treatment. The sputum viscosity, incidence of second intubation and the intensive care unit (ICU) stay time were evaluated.
The difference in PaCO2 between the two groups was statistically significant at 24 h after treatment (p < 0.05). The PaO2 in the HFNC group was significantly higher than in the routine group at 24 h after treatment, and the OI of the routine group was lower than in the HFNC group at 6 h, 12 h and 24 h after treatment (p < 0.05). The sputum viscosity in the HFNC group was better than in the routine group at 12 h and 24 h after treatment. The second intubation rate and ICU stay time in the HFNC group were lower than in the routine group (p < 0.05).
Compared with conventional mask oxygen inhalation, HFNC can effectively reduce sputum viscosity, improve oxygenation, reduce the incidence of repeated intubation and meet patients’ comfort needs. It is an advantageous respiratory support strategy for patients after cardiac surgery compared with invasive mechanical ventilation to oxygen therapy and is beneficial to the recovery of cardiopulmonary function.
This paper is concerned with global existence of weak solutions to the relativistic Vlasov-Klein-Gordon system. The energy of this system is conserved, but the interaction term ...$\int_{\mathbb{R}^{n}}\rho\varphi dx$ in it need not be positive. So far existence of global weak solutions has been established only for small initial data \cite{Kunzinger0001,Wei0001}. In two dimensions, this paper shows that the interaction term can be estimated by the kinetic energy to the power of $\frac{4q-4}{3q-2}$ for $1<q<2$. As a consequence, global existence of weak solutions for general initial data is obtained. KCI Citation Count: 2
We have systematically investigated the electronic properties of Si doping germanene under external electric fields by the first-principle calculations. The results show that a wide range of linearly ...tunable and sizable direct band gaps for the Ge31Si1 and Ge28Si4 systems (3–1048 meV and 6–716 meV) are merely determined by the strength of the electric field. More importantly, the high carrier mobilities of the stable Ge31Si1 and Ge28Si4 systems are largely retained under external electric field. The mechanism of charge transfer confirms the p-type semiconductor properties in the Si doping germanene systems. These results indicate that the electronic properties of Si doping germanene can be effectively modulated under the external electric field, providing a potential application in novel electronic devices, such as Field effect transistors.
Motivated by the recent advances in stanene based devices for potential application such as superior gas sensors and electronic devices, we systematically investigated the structural configurations, ...adsorption energies and charge transfer of organic molecules (OM) on stanene sensors using first-principles calculations. The results show that aniline (C6H7N) and chlorobenzene (C6H5Cl) act as charge acceptors and are chemisorbed on stanene with sizable adsorption energies for the most stable OM/stanene systems. In particular, C6H7N/stanene and C6H5Cl/stanene systems can open the band gaps with 114.3 and 5.0 meV, respectively. Moreover, adsorption energies, charge transfer and band gaps of OM/stanene systems under external electric field can change dramatically, which indicates that external factors on stanene are highly preferred. Our results provide a theoretical basis for the application of stanene in highly sensitive sensor devices.
•The adsorption and electronic properties of organic molecules (OM) on stanene were studied by first-principles calculations.•The high adsorption energies and larger charge transfer indicate organic molecules are chemisorbed on stanene.•OM/stanene systems open the band gaps, representing adsorption of OM can effectively modulate the conductivity of stanene.•Adsorption energies, charge transfer and band gaps of OM/stanene systems under electric field can change dramatically.•Our results demonstrate that stanene can be utilized for highly sensitive sensor devices to detect organic molecules.