Chatter-suppressing ruling method based on double-layer elastic support.

A cross-hinge spring is the preferred support for a ruling tool because of its excellent flexibility. However, there are high precision requirements for the tool installation, which make the installation and adjustments difficult. There also is poor robustness against interference, which readily results in tool chatter. These issues affect the quality of the grating. This paper proposes an elastic ruling tool carrier with a double-layer parallel-spring mechanism, establishes a torque model of the spring, and analyzes its force state. In a simulation, the spring deformation and frequency modes of the two ruling tool carriers are compared and the overhang length of the parallel-spring mechanism is optimized. In addition, the performance of the optimized ruling tool carrier is analyzed in a grating ruling experiment to verify the carrier's effectiveness. The results show that compared to the cross-hinge elastic support, the deformation of the parallel-spring mechanism by a ruling force in the X direction is on the same order of magnitude. However, the deformation in the Y direction is reduced by a factor of 270, and the deformation in the Z direction is reduced by a factor of 32. The torque of the proposed tool carrier is slightly higher (12.8%) in the Z direction but lower by a factor of 2.5 in the X direction and by a factor of 60 in the Y direction. The overall stiffness of the proposed tool carrier is improved and the first-order frequency of the proposed structure is higher by a factor of 2.8. The proposed tool carrier thus better suppresses chatter, effectively reducing the effect of the ruling tool installation error on the grating quality. The flutter suppression ruling method can provide a technical basis for further research on high-precision grating ruling manufacturing technology.

Littrow 3D measurement based on 2D grating dual-channel equal-optical path interference.

We propose a 3D measurement method based on 2D grating dual-channel and Littrow equal-optical path incidence to detect the 3D displacement of a 2D grating in the X-, Y-, and Z-directions. The 2D grating is combined with the Littrow incidence method and a turning element to cause the Littrow diffracted light with frequency f1 to interfere with the reference light at frequency f2, and the displacement data in the X-, Y-, and Z-directions are obtained using the separation-dual-channel phase decoupling algorithm. A corresponding test experimental platform is constructed, and linear error evaluation and step error evaluation experiments are performed to determine the displacements in the X-, Y-, and Z-directions. The results obtained show that all linearity errors are within ±60 nm in the 10 mm measurement ranges in the X-, Y-, and Z-directions, and the test resolution is within ±5 nm. The proposed method can thus realize nanoscale synchronous measurement of X-, Y-, and Z-direction 3D displacements.

Polarization-modulated grating interferometer by conical diffraction.

The grating interferometer in the Littrow configuration uses quarter wave plates (QWPs) to modulate the polarization in the measurement system to determine the autocollimation optical path. Fabrication errors and mounting errors of the QWPs lead to phase changes in the grating interferometer that generate measurement errors. As an alternative, we propose a grating interferometer that produces conical diffraction. Using the grating instead of QWPs to modulate the beam's polarization bypasses this source of error. A 45 mm range experiment was performed that yielded a repeated measurement error of 40 nm. Experiments show that the system has a simple structure and good repeatability and is capable of high-precision displacement measurements.

NCAPG facilitates colorectal cancer cell proliferation, migration, invasion and epithelial-mesenchymal transition by activating the Wnt/ß-catenin signaling pathway.

BACKGROUND: The condensation complex gene non-SMC condensin I complex subunit G(NCAPG), a cell cycle-associated condensin, is over-expressed in various cancers. However, its biological function in colorectal cancer (CRC) has yet to be deciphered. In this study, we investigated the role of NCAPG in CRC progression. METHODS: Tissues and cells were used to measure NCAPG expression levels and their association with clinicopathological characteristics. NCAPG silencing and overexpression in CRC cells were used to measure its effect on proliferation, migration, invasion, and epithelial-mesenchymal transition (EMT) progression. In addition, mRNA, and protein expression levels of key EMT biomarkers were measured. The underlying mechanism of NCAPG modulating CRC progression was further explored using western blotting, co-immunoprecipitation (CO-IP), and immunofluorescence (IF) assays. RESULTS: NCAPG was over-expressed in CRC tissues and cell lines. High expression levels were associated with differentiation levels, lymph metastasis, and vascular invasion in patients. NCAPG silencing suppressed, while NCAPG overexpression promoted the proliferative, migration, and invasive capacity of HCT116 and SW480 cells. Mechanistically, we discovered that NCAPG participated in regulating the EMT process and the Wnt/ß-catenin signaling pathway to facilitate CRC invasion and metastasis. Additional experiments demonstrated that NCAPG activated the Wnt/ß-catenin signaling pathway by binding to ß-catenin in CRC cells. CONCLUSION: NCAPG acts as an oncogene involved in the development and progression of CRC by binding to ß-catenin to activate the Wnt/ß-catenin signaling pathway.

High-quality and large-area echelle grating ruled on 500-mm ruling engine for the fiber array solar optical telescope (FASOT).

A 300 mm×500 mm large-area echelle grating with groove density of 79 grooves/mm is fabricated for the spectrometer of the fiber array solar optical telescope (FASOT). This paper focusses on measurement methods of the grating performance. We present a method to evaluate the grating's stray light intensity, which is measured to a level of 10-4. The directly measured grating efficiency is approximately 90% of the designed value, and an indirect measurement method based on the grating groove profile is proposed. Based on the Rayleigh criterion and the grating diffraction wavefront, a physical optics method and a geometric grating method are proposed and are used to calculate the actual grating resolving power; the calculated results exceed 95% of the grating's theoretical resolving power. These results show that the CIOMP-6 ruling engine has sufficient precision to fabricate high-quality, large-area echelle gratings.

Grating-based 2D displacement measurement with quadruple optical subdivision of a single incident beam.

We propose a new symmetrical heterodyne grating displacement measurement method, based on 2D grating and single diffraction quadruple subdivision method. Using a dual-frequency laser with a wavelength of 632.8 nm, output power of 2.2 mW, and a 1200 l/mm 2D grating, eight diffracted light beams interfere in pairs in the X and Y directions through a turning element. The detection system's measurement accuracy was assessed experimentally. The system measurement resolution in the X and Y directions is better than 3 nm; the grating displacement measurement errors within a 10 mm range are better than ±30 nm and ±40 nm, and the repeatability error is better than ±25 nm. The method is not only applicable to nanoscale 2D displacement measurement technology but also can be used for ultra-precision positioning and ultra-precision processing, with the potential for picometer-level improvement.

Numerical calculation of the mosaic error between mosaic gratings.

The theoretical calculation model for a mosaic error was established based on the plane equation for a grating surface and the relationship equation for a mosaic grating surface. A mosaic grating was obtained based on this model. In the experiment, the mosaic error was calculated based on the diffraction wavefronts of two groups of mosaic gratings that were obtained simultaneously with a Zygo interferometer. The difference between the wavefront of the mosaic grating and the average wavefront of the mosaic grating element was 0.031λ. The maximum far-field intensity of the mosaic grating was 90% of that without an error. This model provides a theoretical basis for the numerical mosaic between gratings. In addition, the mosaic error can be calculated with this model, and the quality of the mosaic grating can be evaluated.

Effect of the measuring mirror surface shape error on ruled groove straightness and the grating diffraction wavefront.

Measuring mirror requirements and their impact on groove errors are related to the error compensation strategy for a ruling engine. We analyze why the measuring mirror of the CIOMP-6 engine affects the groove straightness and the grating diffraction wavefront. We study a theoretical model of the relationship between the measuring mirror's surface shape error and the grating wavefront, propose a requirement for the measuring mirror surface shape error, and reprocess the measuring mirror. Comparative ruling experiments prove that the grating's wavefront quality at the diffraction order along the groove direction improved significantly after reprocessing of the measuring mirror.

Ruling engine using adjustable diamond and interferometric control for high-quality gratings and large echelles.

A concept for position adjustment of the diamond in a ruling engine to enable nanoscale groove positioning is proposed. Based on this concept, we fabricate a diamond carriage, design an optical path, and propose an appropriate control method. Several high-quality gratings are ruled for spectrometer or interferometer applications. After implementation of the improvements, the maximum intensity of ghosts and scattered light of the echelle grating with 79 grooves/mm is reduced to half of that before the improvement, and the highest achievable groove density is increased from 6000 grooves/mm to 8000 grooves/mm. The grating ruling results indicate that the proposed concept and the related improvements to the engine significantly improve the accuracy of the CIOMP-6 ruling engine.

Analysis and removal of five-dimensional mosaicking errors in mosaic grating.

Combining the mathematical relationships between the grating wavefront and surfaces with the spatial relationships between the two grating wavefront, a mathematical model of the mosaicking errors is established to mosaic gratings. The five-dimensional mosaicking errors will respectively be calculated and then removed by the adjustment mechanisms. Mosaicking experiments are performed by using two gratings. First, by using zeroth order, the longitudinal offset is calculated and removed. Second, by using the diffraction order, the in-plane angle and grating spacing are calculated and removed, while the tip and tilt angles are calculated and removed. And then a mosaic grating is obtained.

Separation of five naphtho-γ-pyrones from Pleurotus ostreatus by high-speed countercurrent chromatography.

A method to optimize a high-speed countercurrent chromatography solvent system from many possible solvent systems was guided by average polarity and K values of crude samples, which was successfully applied in separation of the naphtho-γ-pyrones. This method expanded the scope of spectrophotometer application in the solvent systems selection, and showed the merits of simplicity, rapidity, and low reagent consumption. As a consequence of utilizing the method, an efficient separation procedure was established, and two groups of naphtho-γ-pyrone isomers (fonsecinone B and asperpyrone F; asperpyrone C, fonsecinone A, and aurasperone A) were obtained from Pleurotus ostreatus by high-speed countercurrent chromatography with a solvent system composed of petroleum ether/ethyl acetate/methanol/water (5:5:5:5, v/v). The results indicate that high-speed countercurrent chromatography could be a powerful technology for separation isomers and analogues, and the method guided by average polarity and K values of crude samples is feasible to optimize solvent system.

Using a unique mirror to minimize the effect of ruling engine cosine error on grating performance.

The cosine error of the diffraction grating ruling engine is a systematic error caused by the measurement system. This error affects grating performance directly. To reduce the effects of the cosine error on grating performance, we analyze the cause of the cosine error, establish a mathematical model based on the error and the related grating indicators, and propose a method to reduce the error. To validate the proposed method, we present the results of grating ruling experiments performed before and after cosine error correction, which show that the method effectively reduces the cosine error effects.

Simple and compact grating-based heterodyne interferometer with the Littrow configuration for high-accuracy and long-range measurement of two-dimensional displacement.

We propose a simple and compact reading head with the Littrow configuration that will increase measurement range and reduce the complexity of a two-dimensional grating-based interferometer. The reading head contains only a beam splitter, two polarizing beam splitter modules, and two mirrors. The theoretical resolutions in two directions are 0.27 nm and 0.18 nm, respectively. In comparison with a dual-frequency laser interferometer, the proposed interferometer can measure displacement from 3 nm to 10 mm with high accuracy. The 3σ values in two directions for the difference are 1.67 nm and 1.35 nm for a displacement of 9 nm. Repeatability for a displacement of 1 µm is better than 2 nm.

Correcting groove error in gratings ruled on a 500-mm ruling engine using interferometric control.

Groove error is one of the most important factors affecting grating quality and spectral performance. To reduce groove error, we propose a new ruling-tool carriage system based on aerostatic guideways. We design a new blank carriage system with double piezoelectric actuators. We also propose a completely closed-loop servo-control system with a new optical measurement system that can control the position of the diamond relative to the blank. To evaluate our proposed methods, we produced several gratings, including an echelle grating with 79 grooves/mm, a grating with 768 grooves/mm, and a high-density grating with 6000 grooves/mm. The results show that our methods effectively reduce groove error in ruled gratings.

Measuring method of diffraction efficiency for plane grating based on Fourier spectral technology.

A traditional double monochromatic measurement instrument of diffraction efficiency for a plane grating involves two major problems: one is the differences of output spectrum bandwidths during measurement of a standard reflection mirror and the tested grating; the other is overlapping of diffracted spectra, which influence testing accuracy of diffraction efficiency. In this paper, a new measuring method of diffraction efficiency based on Fourier spectral technology is presented. The mathematical model of diffraction efficiency is first deduced and then verified by ray tracing and Fourier optics simulation. The influences of the moving cube corner's tilt error, lateral shift error, and maximal moving distance error on the measurement accuracy are analyzed in detail. The analyses provide theoretical references for designing diffraction efficiency instruments. Compared with the traditional diffraction efficiency measurement instrument with double monochromator structure, our method not only improves the measurement accuracy of diffraction efficiency but also has the advantage of high luminous flux, high spectral resolution, multiwavelength measurement in mean time, and high wavenumber accuracy.

Clinical value of SLC12A9 for diagnosis and prognosis in colorectal cancer.

OBJECTIVE: The goal of the study is to assess the clinical value and the potential mechanism of SLC12A9 combing transcriptome and single cell sequencing data. METHODS: In this study, the expression level and the receiver operating characteristic curve analysis of SLC12A9 in CRC and normal tissue were analyzed in multiple data cohort. The standardized mean difference (SMD) calculation and the summary receiver operating characteristic (SROC) analysis were performed further to detect its diagnostic ability and expression level. KM survival analysis was performed to assess the prognosis value of SLC12A9. The expression level of SLC12A9 in different clinical characteristics was analyzed to explore the clinical value. Single cell data was studied to reveal the potential mechanism of SLC12A9. The correlation analysis of immunoinfiltration was performed to detect the potential immune cell related to SLC12A9. The nomogram was drawn to assess the probable mortality rate of CRC patient. RESULTS: We found that SLC12A9 was significantly up-regulated with the moderate diagnostic value in CRC. Patients with overexpressed SLC12A9 had a worse prognosis. SLC12A9 was related to Age, Pathologic N stage, Pathologic M stage, Lymphatic invasion and Pathologic stage (p < 0.05). The 1, 3 and 5-year survival rates of patient named TCGA-G4-6309 are 0.959, 0.897 and 0.827. PCR also showed that SLC12A9 was overexpressed in CRC comparing with normal tissue. CONCLUSION: In conclusion, our study comprehensively analyzed the clinical value of SLC12A9 and its potential mechanism, as well as immune cell infiltration, which may accelerate the diagnosis and improve the prognosis of CRC.

Characterization of SHCBP1 to prognosis and immunological landscape in pan-cancer: novel insights to biomarker and therapeutic targets.

BACKGROUND: Previous studies have revealed the significant roles of SHC SH2 domain-binding protein 1 (SHCBP1) in occurrence and progression of cancers, but there is no pan-cancer analysis of SHCBP1. METHODS: In this study, we explored the potential carcinogenic role of SHCBP1 across 33 tumors from the TCGA and GTEx databases. We investigated SHCBP1 expression, prognosis, genetic alterations, tumor mutational burden (TMB) score, microsatellite instability (MSI) and tumor microenvironment from TIMER2, GEPIA2, UALCAN and cBioPortal databases. Moreover, the cellular functions and potential mechanisms were evaluated by GO and KEGG analysis. Besides, the mRNA expression of SHCBP1 was examined using qRT-PCR assay in gastrointestinal cancers. RESULTS: SHCBP1 was significantly upregulated in various cancers, and apparent relationship existed between SHCBP1 and survival prognosis in patients. The TMB, MSI, and tumor microenvironment analysis indicated that SHCBP1 was closely related to immune checkpoints, immune targets, as well as CD4+ naive T cell, CD8+ T cell, and neutrophil. Moreover, the cellular functions of SHCBP1 were mainly in regulating cell cycle motor protein activity. In addition, we validated that SHCBP1 mRNA expression was over-expressed in gastrointestinal cancers. CONCLUSIONS: This study was the first to systematically determine the prognostic value of SHCBP1, providing a forward-looking perspective on immunotherapy and cellular processes in pan-cancer.

[Wavelength calibration research on the automatic grating monochromator for orthogonal Czerny-Turner structure].

The wavelength calibration research on the automatic grating monochromator for orthogonal Czerny-Turner structure was investigated. Combined with the structure parameters and characteristic of this monochromator, the sinusoid that accords with the grating equation was proposed as the function of the wavelength calibration. Based on the principle of the least square method, the formula of the fitting residual error of the wavelength calibration was given. Using the Nelder-Mead simplex method, the undetermined coefficient of the fitting residual error was solved, which founded the precise formula between the wavelength and the grating turning angle. The accuracy of the method was verified through the experiment. The calibrated wavelength precision of the monochromator is less than 0.1 nm, which satisfies the application requirement. Applied in the wavelength calibration of the automatic grating monochromator with orthogonal Czerny-Turner structure, this method is simple to apply and easy for implementation. Using this method, the wavelength calibration can be realized quickly and real-timely, but it is only needed to modify the control program of the stepping motor slightly, which shows a better practicability.

[Optical system design of plane grating double monochromator].

The plane grating double monochromator is the important part of the instrument for testing diffraction efficiency of plane grating, and in order to accomplish the research of the instrument, the optical system design and simulation of the plane grating double monochromator was investigated. The instrument mainly consists of light source, front monochromator, testing monochromator and detector, and combined with the practical requirement, the corresponding light source, detector and the structure of the optical path were selected. According to the design requirement, the design and simulation of the optical system of the front monochromator and testing monochromator were done respectively, and the spot diagram of the image surface and the results of real ray trace were given. The analysis showed that in the front monochromator the maximum width of the exit spot and the maximum height of the exit spot were 0.33 and 1.83 mm respectively. On the other hand, in the testing monochromator, the maximum width of the exit spot and the maximum height of the exit spot were 0.66 and 7.27 mm, respectively. Through selecting the size of the exit slit properly, the system can work without luminous flux lost, which guarantees the testing precision of the optical system of the instrument.

Effects of the Wnt/ß-Catenin Signaling Pathway on Proliferation and Apoptosis of Gastric Cancer Cells.

Objective: To explore the effect of the Wnt/ß-catenin signaling pathway on the proliferation and apoptosis of gastric cancer cells. Methods: An MTT colorimetric assay was used to detect the inhibitory effect of the Wnt/ß-catenin signaling pathway inhibitor FH535 on the proliferation of MKN45 gastric cancer cells. The cell proliferation index (PI) and apoptosis index (AI) were measured by flow cytometry. The expression levels of ß-catenin, c-myc, and cleaved caspase-3 in MKN45 gastric cancer cells were detected. Results: After using the Wnt/ß-catenin signaling pathway inhibitor FH535, MKN45 gastric cancer cells showed obvious shrinkage, death, and cell density decrease. MTT showed that the A value of MKN45 gastric cancer cells in FH535 group was significantly lower than that in the control group (P < 0.05). The survival rate of MKN45 gastric cancer cells in FH535 group was significantly lower than that in the control group (P < 0.05). The cell cycle of gastric cancer was arrested in G0/G1 phase. The expression levels of ß-catenin and c-myc protein in MKN45 gastric cancer cells in FH535 group decreased significantly (P < 0.05), while the expression level of cleaved caspase-3 protein increased significantly (P < 0.05). Conclusion: The Wnt/ß-catenin signal molecule can maintain the proliferation of gastric cancer cells. Inhibition of the Wnt/ß-catenin signaling pathway can inhibit the proliferation of gastric cancer cells and promote the apoptosis of MKN45 gastric cancer cells.