近红外光谱和人工神经网络的金苦荞氨基酸快速测定

荞麦籽粒中富含谷类作物比较缺乏的赖氨酸,使其不同于其他作物,具有较高经济价值。传统氨基酸测定费时且昂贵,为满足金苦荞育种工作的需要,选用近红外光谱技术结合人工神经网络的算法建立快速检测金苦荞叶片中氨基酸含量的近红外模型。使用氨基酸含量差异较大的样品255个,扫描光谱后测定其化学值。研究发现样品苏氨酸(Thr)含量范围是5.307~14.374 mg·g-1;缬氨酸(Val)含量范围是6.137~16.204 mg·g-1;甲硫氨酸(Met)含量范围是0.308~3.049 mg·g-1;异亮氨酸(Ile)含量范围是5.259~14.134 mg·g-1;亮氨酸(Leu)含量范围是9.730~26.061 mg·g-1;苯丙氨酸(Phe)含量范围是5.936~17.223 mg·g-1;赖氨酸(Lys)含量范围是6.640~17.280 mg·g-1;谷氨酸(Glu)含量范围是10.984~27.740 mg·g-1;天冬氨酸(Asp)含量范围是6.437~17.280 mg·g-1;丝氨酸(Ser)含量范围是3.467~8.312 mg·g-1;精氨酸(Arg)含量范围是4.937~14.772 mg·g-1;丙氨酸(Ala)含量范围是3.329~6.885 mg·g-1;组氨酸(His)含量范围是1.946~4.798 mg·g-1;甘氨酸(Gly)含量范围是4.196~9.264 mg·g-1;脯氨酸(Pro)含量范围是1.024~5.672 mg·g-1;酪氨酸(Tyr)含量范围是0.176~1.173 mg·g-1;半胱氨酸(Cys)含量范围是0.422~1.926 mg·g-1。每次随机选取50个样品建设模型,以4∶1的比例随机分为训练集和测试集。数据进行归一化处理后,使用神经网络结构1102-9-1进行模型建设。利用多次学习的方式建立了较优模型,其中Arg和Asp近红外模型的仿真测试结果最好,预测值与真实值的相关系数(R2)均大于0.97,平均相对误差(RSD)也小于10%;另外Leu,Val,Tyr,Ile,Ser,Ala,Thr,His,Phe,Gly和Lys模型的R2均大于0.90,模型仿真测试数据的RSD小于10%,模型均可用;Met与Cys的模型进行仿真测试时,其预测值与真实值的R2均大于0.78,但RSD大于10%,模型不可用。结果表明,金苦荞叶片的氨基酸含量高,有极高应用价值,近红外光谱技术结合人工神经网络的分析方法可应用于金苦荞氨基酸含量的预测,为高品质荞麦育种工作提供了便利。     

Nonlocal nonreciprocal optomechanical circulator

A nonlocal circulator protocol is proposed in a hybrid optomechanical system. By analogy with quantum communication, using the input-output relationship, we establish the quantum channel between two optical modes with long-range. The three-body nonlocal interaction between the cavity and the two oscillators is obtained by eliminating the optomechanical cavity mode and verifying the Bell-CHSH inequality of continuous variables. By introducing the phase accumulation between cyclic interactions, the unidirectional transmission of quantum state between the optical mode and two mechanical modes is achieved. The results show that nonreciprocal transmissions are achieved as long as the accumulated phase reaches a certain value. In addition, the effective interaction parameters in our system are amplified, which reduces the difficulty of the implementation of our protocol. Our research can provide potential applications for nonlocal manipulation and transmission control of quantum platforms.     

Wilson元特征值下逼近准确特征值

该文讨论矩形域上Laplace算子特征值问题有限元近似.证明了Wilson非协调有限元特征值下逼近准确特征值,从而解决了有限元法中长期存在的一个猜想.     

局部对称共形平坦黎曼流形中紧致极小子流形的一个刚性定理

本文研究局部对称共形平坦黎曼流形中紧致极小子流形,得到了这类子流形第二基本形式模长平方关于外围空间Ricci曲率的—个拼挤定理,推广了文[1]中的结果.     

氦原子与非对称替代氢分子碰撞(E=0.3eV)角分布计算

用密耦方法计算了非对称同位素替代分子与氦原子碰撞(He-HD,HT,DT)转动激发,当入射能量E=0.3 eV时,得到了上述碰撞体系的微分散射截面或角分布.基于上述理论计算,讨论了原子与双原子分子碰撞的同位素效应.     

分裂的正则Hom-Leibniz-Rinehart代数

作为Hom-Leibniz代数胚的代数类比, 本文引入Hom-Leibniz-Rinehart代数的概念. 证明了分裂的正则Hom-Leibniz-Rinehart代数$L$写成$L=U+\sum_{\gamma}I_\gamma$, 其中$U$为极大交换子代数$H$的子空间和$I_\gamma$为$L$的理想, 若$[\gamma]\neq[d]$, 满足$[I_\gamma, I_d]=0$. 随后分别发展了分裂Hom-Leibniz-Rinehart代数的根和权的连通技术.最后研究了紧致的正则Hom-Leibniz-Rinehart代数的结构.     

Study of the Optimal Integrated Control of a Dengue Transmission Model北大核心CSCD

建立了一个登革热在蚊子和人之间传播的模型,引入了Wolbachia、自我保护和杀虫剂三种控制措施,分别从常数控制和时变控制两个方面进行探讨。首先,分析了常数控制对模型基本再生数的影响,研究发现:Wolbachia有助于减小基本再生数,且基本再生数与自我保护和杀虫剂呈负相关。其次,以使得感染数最少且实施成本最低为目标,使用Pontryagin极值原理讨论最优控制。最后,通过数值模拟展示了最优控制的效果。     

Illuminating the flesh of bone identification – An application of near infrared spectroscopy

Near infrared (NIR) reflectance spectroscopy coupled with chemometric analysis was evaluated as a non-destructive tool to discriminate skull bone samples from different animal species. In total 70 skull bones from animals of three classes (mammalians, avian and reptiles) were scanned in the wavelength range between 950 to 1650 nm. Principal component analysis (PCA) and partial least squares discriminant analysis (PLS-DA) were used to analyse the NIR spectra of the skull samples. Correct classification rates of 96% and 81% were obtained for the classification of skull bone samples according to avian and mammalian classes, respectively. Overall, a 91% correct classification rate was obtained for the classification of skull samples according to the class (mammalian and avian). This study demonstrates the potential of NIR spectroscopy coupled with chemometric as data processing, as a means of a rapid, non-destructive classification technique for skull bone samples.     

Acid-mediated four-component tandem cyclization: Access to multifused 1,3-benzoxazine frameworks

An acid-mediated multicomponent reaction has been developed for the direct synthesis of multifused 1,3-benzoxazine derivatives from simple and readily available arylglyoxal monohydrates and 2-aminobenzyl alcohols under mild conditions. This novel protocol is proposed to proceed through intramolecular poly-heterocyclizations, thus leading to the formation of three new rings and six new chemical bonds, including four CN and two CO bonds.     

巯基偶氮苯单分子电子传输的取代基效应

用密度泛函理论B3LYP/6-31G**计算巯基偶氮苯分子及分子离子的空间构型和电子结构, 研究取代基对巯基偶氮苯单分子电子传输的影响. 结果表明, 拉电子基(—COOH、—NO2)的引入, 可以提高巯基偶氮苯单分子电子传输体系的稳定性, 使体系LUMO的离域性增高、S原子反应活性增强、HOMO-LUMO能隙显著减小, 进而降低电子传输能垒, 有利于分子电子传输. 相同取代基的分子离子比分子具有更小的HOMO-LUMO能隙, S—Au键更易形成, 金属-分子-金属结构的电子传输性更强.