As a phase space language for quantum mechanics, the Wigner function approach bears a close analogy to classical mechanics and has been drawing growing attention, especially in simulating quantum many-body systems. However, deterministic numerical solutions have been almost exclusively confined to one-dimensional one-body systems and few results are reported even for one-dimensional two-body problems. This paper serves as the first attempt to solve the time-dependent many-body Wigner equation through a grid-based advective-spectral-mixed method. The main feature of the method is to resolve the linear advection in (x, t)-space by an explicit three-step characteristic scheme coupled with the piecewise cubic spline interpolation, while the Chebyshev spectral element method in k-space is adopted for accurate calculation of the nonlocal pseudo-differential term. Not only the time step of the resulting method is not restricted by the usual CFL condition and thus a large time step is allowed, but also the mass conservation can be maintained. In particular, for the system consisting of identical particles, the advective-spectral-mixed method can also rigorously preserve physical symmetry relations. The performance is validated through several typical numerical experiments, like the Gaussian barrier scattering, electron-electron interaction and a Helium-like system, where the third-order accuracy against both grid spacing and time stepping is observed.
BackgroundThe reliability of RNA sequencing (RNA-seq) output is affected by the quality of RNAs, which is in turn dependent on the quality of samples. Therefore, the purposes of this study were to reconsider the threshold of the RNA integrity number (RIN) and propose a simple and efficient storage scheme of blood samples for RNA-seq.Patients and methodsThe RNAs were extracted from blood samples that were stored at different conditions and used for sequencing. The bioinformatic analyses were performed to evaluate the impact of RNA integrity and blood sample storage conditions on the gene expression analysis.ResultsOur outcomes showed that the samples with RIN values more than 5.3 scarcely affected the quantitative results of RNA-seq, and the influence of inherent cellular physiological processes on RNA-seq output could be negligible.ConclusionThe blood samples stored at 4°C within 7 days with RIN values more than 5.3 were available for RNA-seq.
There is a correlation between pulmonary surgery and postoperative cough. The probability of postoperative cough is higher in the more invasive patients. The probability of coughing is approximately 27% to 36% at 3 months after surgery, and approximately 2.6% to 7.9% in one year after surgery. The combination of surgery and anesthesia methods increases the probability of cough from 48.9% to 65.1% at 3 months after surgery, and about 20.5% to 22.8% in 1 year after surgery. Spontaneous respiration anesthesia can significantly reduce the probability of cough, improve postoperative recovery, and improve postoperative quality of life.
Background MicroRNAs (miRNAs) are small noncoding RNAs that are involved in many biological regulation processes. Studies have reported that miRNAs are enriched in human plasma and plasma-derived exosome as novel diagnostic biomarkers. The aim of this study was to determine whether the miRNA expression levels are different between plasma and plasma-derived exosome. Methods We sequenced and quantified the miRNAs in plasma and exosome from healthy blood samples and validated three miRNAs in the two groups of lung cancer samples by qRT-PCR. Results The sequencing results showed that only several of miRNAs were differential, while the qRT-PCR further validated that most of them did not have the consistent differences. However, the levels of two upregulated miRNAs (miR-181b-5p and miR-21-5p) in lung cancer were significantly higher in exosomes than plasma. Conclusions To the best of our knowledge, this study is the first to compare the expression levels of miRNAs between plasma and exosome in healthy blood samples. Our data suggested that the miRNA levels were similar in the two parts of the healthy people, whereas the two onco-miRNAs were significantly enriched in the exosome of lung cancer patients.
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