Existence of Steady Subsonic Euler Flows through Infinitely Long Periodic Nozzles

In this paper, we study the global existence of steady subsonic Euler flows through infinitely long nozzles which are periodic in $x_1$ direction with the period $L$. It is shown that when the variation of Bernoulli function at some given section is small and mass flux is in a suitable regime, there exists a unique global subsonic flow in the nozzle. Furthermore, the flow is also periodic in $x_1$ direction with the period $L$. If, in particular, the Bernoulli function is a constant, we also get the existence of subsonic-sonic flows when the mass flux takes the critical value

Suppressive effect of Hsa-miR-125a-5p on cervical cancer proliferation and invasion via regulation of Rab25- PI3K/AKT pathway

Purpose: To study the suppressive effect of Hsa-miR-125a-5p on the proliferation and invasion of cervical cancer (CC) cells through the modulation of the Rab25-PI3K/AKT pathway.Methods: 66 pairs of CC and neighboring cell samples were harvested from patients who underwent surgical resection in the Oncology Department from August 2017 to December 2018. The expression levels of Hsa-miR-125a-5p in CC and neighboring cell samples were assessed by quantitative polymerase chain reaction (qPCR). The overexpression vector was transfected into CC cells (siHa cell line), and the proliferation, invasion, migration, and apoptosis of siHa cells were determined. The regulatory role of Hsa-miR-125a-5p in PI3K/AKT pathway was determined using Western blotting.Results: CC tissues, relative to the neighboring tissues, exhibited remarkably lower Hsa-miR-125a-5p levels (p < 0.05), and their upregulation significantly inhibited the growth, migration, and intrusion of siHa cells while repressing apoptosis (p < 0.05). Dual-luciferase reporter assay (DLRA) data indicate that luciferase activity decreased when Hsa-miR-125a-5p was bound to Rab25 (p < 0.05). The HsamiR-125a-5p mimics group had significantly lower PI3K/AKT levels, relative to the negative control mimics group (p < 0.05).Conclusion: Hsa-miR-125a-5p represses CC cell proliferation and invasion through the modulation of Rab25-PI3K/AKT pathway, thus suggesting that this pathway is a target for drug developmen

Efficient Residual Dense Block Search for Image Super-Resolution

Although remarkable progress has been made on single image super-resolution due to the revival of deep convolutional neural networks, deep learning methods are confronted with the challenges of computation and memory consumption in practice, especially for mobile devices. Focusing on this issue, we propose an efficient residual dense block search algorithm with multiple objectives to hunt for fast, lightweight and accurate networks for image super-resolution. Firstly, to accelerate super-resolution network, we exploit the variation of feature scale adequately with the proposed efficient residual dense blocks. In the proposed evolutionary algorithm, the locations of pooling and upsampling operator are searched automatically. Secondly, network architecture is evolved with the guidance of block credits to acquire accurate super-resolution network. The block credit reflects the effect of current block and is earned during model evaluation process. It guides the evolution by weighing the sampling probability of mutation to favor admirable blocks. Extensive experimental results demonstrate the effectiveness of the proposed searching method and the found efficient super-resolution models achieve better performance than the state-of-the-art methods with limited number of parameters and FLOPs