Application of Hadamard spectroscopy to automated structure verification in high‐throughput NMR

Combined verification using 1‐D proton and HSQC has been proved to be quite successful; the acquisition time of HSQC spectra, however, can be limiting in its high‐throughput applications. The replacement with Hadamard HSQC can significantly enhance the throughput. We hereby propose a protocol to optimize the grouping of the predicted carbon chemical shifts from the proposed structure and the associated Hadamard frequencies and bandwidths. The resulting Hadamard HSQC spectra compare favorably with their Fourier‐transformed counterparts, and have demonstrated to perform equivalently in terms of combined verification, but with several fold enhancement in throughput, as illustrated for 21 commercial available molecules and 16 prototypical drug compounds. Further improvement of the verification accuracy can be achieved by the cross validation from Hadamard TOCSY, which can be acquired without much sacrifice in throughput. Copyright © 2009 John Wiley & Sons, Ltd.     

Modified Hadamard transform microchip electrophoresis

Sensitivity is a crucial point in the development applications for medicine or environmental samples in which the analytes are present in the nanomolar range. Besides further technical development of detection systems, the multiplex sample injection technique can be applied for enhancing the signal-to-noise ratio. Hadamard transform is easily applied to microchip electrophoresis due to the fact that sample injection is generally achieved through cross, double-tee, or tee injector structures. This paper reports the first demonstration of a modified Hadamard transform electrophoresis on a microchip by using an amperometric detector. Contrary to the previous Hadamard applications, the resolution (number of points per unit of time) of electropherograms obtained is independent of the number of injections.     

Studies on Hadamard Transform Fluorimetry

Hadamard transform spectroscopy has been investigated since the later 1960's and early 1970's. It was demonstrated that the application of Hadamard transform technique to spectroscopy can facilitate multichannel detection of weak signal. It can be appplied not only to component analysis, but to image analysis. Now, it has been widely used in infrared spectrometry, Raman spectrometry and photothermal deflection analysis. But its application to molecular fluorimetry has not been reported up to now.     

Hadamard transform capillary electrophoresis combined with laser-induced fluorometry using electrokinetic injection

Hadamard transform capillary electrophoresis (HTCE) based on electrokinetic injection allows laser-induced fluorescence detection using a small laser, namely the laser-diode-pumped YAG laser, as an excitation source. A small hole is fabricated at the center of a capillary by laser ablation; this hole functions as an inlet port for a sample solution. Therefore, the sample solution can be introduced electrophoretically into the capillary through the small hole. Multiple sample injection is accomplished by introducing a buffer solution from the end of the capillary and the sample solution through the hole. Both solutions are injected using two sets of high-voltage power supplies and migrate toward the opposite end of the capillary. A fluorescent analyte, rhodamine B, is successfully detected in the case of both single and multiple injection according to the Hadamard sequence code. By transforming the data encoded by the Hadamard matrix, the decoded data showed an increase in the signal-to-noise (S/N) ratio by a factor of 9.8. In the case of the sample containing two amino acids labeled with rhodamine B isothiocyanate (RBITC), although the concentration of every component including free RBITC is lower than the concentration limit of detection obtained by single injection, a substantial improvement in the sensitivity is achieved and all components are identified by the Hadamard transform technique.     

The Extended Hadamard Transform: Sensitivity-Enhanced NMR Experiments Among Labile and Non-Labile 1Hs of SARS-CoV-2-derived RNAs

Hadamard encoded saturation transfer can significantly improve the efficiency of NOE-based NMR correlations from labile protons in proteins, glycans and RNAs, increasing the sensitivity of cross-peaks by an order of magnitude and shortening experimental times by ≥100-fold. These schemes, however, fail when tackling correlations within a pool of labile protons – for instance imino-imino correlations in RNAs or amide-amide correlations in proteins. Here we analyze the origin of the artifacts appearing in these experiments and propose a way to obtain artifact-free correlations both within the labile pool as well as between labile and non-labile ¹Hs, while still enjoying the gains arising from Hadamard encoding and solvent repolarizations. The principles required for implementing what we define as the extended Hadamard scheme are derived, and its clean, artifact-free, sensitivity-enhancing performance is demonstrated on RNA fragments derived from the SARS-CoV-2 genome. Sensitivity gains per unit time approaching an order of magnitude are then achieved in both imino-imino and imino-amino/aromatic protons 2D correlations; similar artifact-free sensitivity gains can be observed when carrying out extended Hadamard encodings of 3D NOESY/HSQC-type experiments. The resulting spectra reveal significantly more correlations than their conventionally acquired counterparts, which can support the spectral assignment and secondary structure determination of structured RNA elements.     

使用一维机械模板的高分辨阿达玛变换显微图像探测技术研究

阿达玛变换（HT）是一种类似于傅里叶变换（FT）的光谱调制技术,具有多通道同时检测和多通道成像能力等优点,但两者的数学模型、对光信号的调制方法和调制手段都不一样。由于HT仅涉及四则运算,而FT涉及较为复杂的三角函数和复数运算,所以HT的解码速度快于FT。在成像技术方面,HT具有直接成像的能力,而FT只能对通过其它方式获取的图像进行加工处理。     

Hadamard transform fluorescence image microscopy using one-dimensional movable mask

With a 511-slit one-dimensional (1D) Hadamard mask and a highly sensitive linear charge-coupled device (CCD), spatial multiplexing is performed and a programmable Hadamard transform (HT) microscopic fluorescence imaging system was developed. The system can generate 511×512 pixel format images for small samples. Sensitivity, signal to noise ratio, imaging speed and spatial resolution of this system were discussed. The results show that the system can be applied for single-cell imaging sensitively in a short time. Spatial resolution up to 0.24 μm/pixel, which is close to the resolution limit of the conventional optical microscope, has been obtained under oil lens. The weak native fluorescence imaging for pollen cells can be realized within 1 min. The system has been applied for multi-parameter evaluation of tumor malignancy based on nuclear DNA ploidy measurements for one breast tumor specimen. The result indicates that the system has good application prospect in cell biology and medicine.     

Selective multiplex advantage with an electro-optic Hadamard transform spectrometer for multielemental atomic emission

A liquid-crystal spatial light-modulator Hadamard transform spectrometer is adapted for multielemental atomic spectrochemical analysis. The flame emissions of alkali metals are studied as a preliminary example. The multiplex disadvantage normally plaguing application of Hadamard and Fourier transform methods to atomic analysis is circumvented. Permanent electro-optic "closure" of certain Hadamard mask slits (corresponding to intense major element emissions) improves the signal-to-noise ratio (SNR) of the remaining trace element emissions. This approach to SNR enhancement of weaker spectral features by blocking known intense features is called the selective multiplex advantage. A problem with the contrast ratio (relative transmissions of the transparent and opaque states) of the liquid-crystal Hadamard mask has been identified in terms of "optical leakage". This produces an offset in the Hadamard encodegram, and leads to concentration-dependent baseline-offset effects in the transformed spectrum. A mathematical correction procedure was devised and evaluated experimentally.     

Instrument for Hadamard transform three-dimensional fluorescence microscope image analysis

An instrument combining fluorescence microscopy with Hadamard transform multiplexed imaging was designed by which a three-dimensional Hadamard transform fluorescence microscopic cell image was obtained. The image can provide useful information including, simultaneously, the apparent dimensions and the shape of the analytical sample, the content and the distribution of some species in it.     

显微荧光－阿达玛变换三维图象分析

把阿达玛变换多通道成象技术与荧光显微镜结合起来,首次成功地获得了细胞的阿达玛变换三维荧光图象,该图象能同时提供微小物体中某一物质的含量及分布等信息。     

Improved 3D DOSY-TOCSY experiment for mixture analysis

With respect to best currently available pulse sequences, a 10-fold reduction in minimum experiment time together with significant resolution enhancement can be achieved in 3D DOSY homonuclear experiments by means of Hadamard encoding, as illustrated here for the 3D DOSY-TOCSY experiment.     

Application of Hadamard transformation to MEKC

The Hadamard transform (HT) technique, which permits the S/N in CE to be improved, was applied to MEKC. Multiple sample injection of fluorescent analytes according to a Hadamard code sequence was performed using an optically gated sample injection technique, in which a sample plug was produced based on photodegradation by irradiation with an intense laser beam. The capillary and reservoirs were filled with a sample solution containing buffer components and SDS as a pseudostationary phase. A preliminary study confirmed that fluorescein ion could be photobleached in the presence of SDS. The optically gated sample injection technique was then applied to multiple sample injection, based on a Hadamard matrix. The S/N in the electropherogram obtained by HT-MEKC was improved substantially compared to that obtained by a single injection method. When the technique was applied to the separation of several amino acids labeled with FITC, the S/N ratio for each amino acid was enhanced, without any evidence of degradation in separation resolution. Moreover, HT-MEKC was applied to the analysis of amino acids contained in a Japanese beverage, resulting in improved S/Ns for the amino acids.     

Theoretical multiplex gain in a UV/VIS Hadamard transform spectrometer utilizing a uniformly imperfect encoding mask

The effect of a uniformly imperfect (non-ideal) encoding mask on the signal-to-noise ratio improvement in a Hadamard transform spectrometer utilizing photon detection is theoretically studied. General equations are developed for the calculation of the multiplex gain (the Fellgett advantage) under conditions of limitation by shot noise and source-fluctuation noise. It is shown that for both cases, the multiplex gain depends on the transmission properties of the encoding mask, the UV/VIS spectrum impinging upon the mask, and the multiplex size, N. It is demonstrated that a uniformly imperfect encoding mask allows sufficient multiplex gain, and that photon-detection in Hadamard transform spectrometry can have advantages in some spectroscopic applications. In addition, comparisons are made between the multiplex gain advantages present in UV/VIS FTS and those present in UV/VIS HTS.     

Design and application of Hadamard-injectors coupled with gas and supercritical fluid sample collection systems in Hadamard transform-gas chromatography/mass spectrometry

A novel Hadamard transform-gas chromatography/mass spectrometry (HT-GC/MS) system equipped with on-line sample collection systems is described. A Hadamard-injector was successfully designed and then coupled with an on-line adsorption/desorption system for detecting volatile organic compounds (VOCs) and a supercritical fluid extraction (SFE) system, respectively, by HT-GC/MS. Six VOCs and three pesticides were used as model compounds. In the former case, an activated-charcoal trap was used to trap VOCs from the indoor air. After 10 L of indoor air had passed through the trap, the condensed components were heated and simultaneously injected into the GC column through the Hadamard-injector, based on Hadamard codes. In a second experiment, a sample of rice was spiked with three types of pesticides and the sample then extracted using a commercially available supercritical fluid extractor. After extraction, the extracted components were transferred to a holding tank and simultaneously injected into the GC column also using the Hadamard-injector. The findings show that, in both cases, the combination of on-line sample collection methods and the use of the Hadamard transform resulted in improved sensitivity and detection. Compared to the single injection used in most GC/MS systems, the signal-to-noise (S/N) ratios were substantially improved after inverse Hadamard transformation of the encoded chromatogram.     

Hadamard Homonuclear Broadband Decoupled TOCSY NMR: Improved Efficacy in Detecting Long‐range Chemical Shift Correlations

The importance of Hadamard encoding pulses in one‐dimensional pure shift yielded by the chirp excitation version of selective total correlation spectroscopy (1D PSYCHE–TOCSY) experiments is discussed for chemical‐shift analysis of complex natural products at ultrahigh resolution. Herein, we adapted H_n Hadamard matrices to 1D PSYCHE–TOCSY and observed an overall circa square root of n‐fold enhancement in the signal‐to‐noise (S/N) ratio when compared to conventional 1D PSYCHE–TOCSY recorded by refocusing only one spin at a time. This enhancement in S/N facilitates the observation of very weak long‐range chemical‐shift correlations from Hadamard‐encoded PSYCHE–TOCSY (HE–PSYCHE–TOCSY). The proposed method will have a significant impact on structure determination of complex isolated/ synthetic natural products.     

提高芯片毛细管电泳系统检测信噪比的哈达玛变换法

采用门控进样,在简单的十字通道微流控玻璃芯片上实现了假随机多次进样,研究了利用哈达玛变换提高微流控毛细管电泳分析系统信噪比的方法.在实验中,以7阶127步假随机二进制序列作为进样模板,将缓冲液和Cy₅衍生后的氨基酸试样交替注入到分离通道中,检测到的电泳信号经过哈达玛反变换还原使信噪比提高5倍(理论上5.6倍)的电泳谱,各组分的出峰时间、峰高和峰形均完全还原,毛细管电泳分离的采样频率不受影响.     

Lab‐on‐a‐Chip Reactor Imaging with Unprecedented Chemical Resolution by Hadamard‐Encoded Remote Detection NMR

The development of microfluidic processes requires information‐rich detection methods. Here we introduce the concept of remote detection exchange NMR spectroscopy (RD‐EXSY), and show that, along with indirect spatial information extracted from time‐of‐flight data, it provides unique information about the active regions, reaction pathways, and intermediate products in a lab‐on‐a‐chip reactor. Furthermore, we demonstrate that direct spatial resolution can be added to RD‐EXSY efficiently by applying the principles of Hadamard spectroscopy.     

Amino acid-type edited NMR experiments for methyl-methyl distance measurement in 13C-labeled proteins

New NMR experiments are presented for the measurement of methyl-methyl distances in (13)C-labeled proteins from a series of amino acid-type separated 2D or 3D NOESY spectra. Hadamard amino acid-type encoding of the proximal methyl groups provides the high spectral resolution required for unambiguous methyl-methyl NOE assignment, which is particularly important for fast global fold determination of proteins. The experiments can be applied to a wide range of protein systems, as exemplified for two small proteins, ubiquitin and MerAa, and the 30 kDa BRP-Blm complex.     

Improved NMR methods for the direct 13C-satellite-selective excitation in overlapped 1H-NMR spectra

Improved pulsed-field gradient echo methods are presented and discussed for the direct selective excitation of the (13)C-satellite lines in overcrowded (1)H NMR spectra of small molecules. Sensitivity enhancements in (13)C spin-state selection can be achieved by combining multiple-proton-frequency excitation and Hadamard phase encoding. Several satellite-selective (SATSEL) NMR experiments are proposed and exemplified by measuring the sign and the magnitude of small, long-range proton-carbon coupling constants for (1)H resonances showing several levels of signal overlapping.