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orthogonality of Redesigned tRNA Molecules with Three Stop Codons

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Chinese Journal of Chemistry 2022年第7期40卷 825-831页

作者： Zhao-Yang Zhang Dan-Ni Liao Yu-Xin Ma Bin Jia Ying-Jin Yuan Frontier Science Center for Synthetic Biology and Key Laboratory of Systems Bioengineering(Ministry of Education) School of Chemical Engineering and TechnologyTianjin UniversityTianjin 300072China Collaborative Innovation Center of Chemical Science and Engineering(Tianjin) Tianjin UniversityTianjin 300072China

The ability to expand genetic code in living cells has emerged as a powerful method with diverse applications.Here,we design re-placement of the anticodons of E.coli tRNAs that recognize codons for 20 natural amino acids,with three anti-stop codons,resulting in a total of 60 engineered tRNA constructs.We test these constructs one by one in E.coli,and found that six tRNAsCUA(tyrV,serX,hisR,trpT,glnV and leuX),two tRNAsUCA(trpT and leuX)and one tRNAUUA(tyrV)allowed efficient expression of Red Fluorescence Protein(RFP)with the presence of a corresponding stop codon in frame.Furthermore,we exploit the mutual orthogonality of tRNASer CUA,tRNATrpUCA and tRNATyrUUA with corresponding stop codons and demonstrated that the tRNASer CUA and the tRNATrp UCA can provide dynamic range and low crosstalk.Finally,we show the TAG and TGA can not only be used as an"AND gate"circuit to control the translation of target gene,but also be used to control the translation of a prodeoxyviolacein(PDV)pathway and a reporter in parallel.Overall,this work provides flexible tools for translational control and holds great potential to promote synthetic biology studies.

关键词： tRNA orthogonality Synthetic biology Series control Parallel control Biosynthesis

orthogonality in Banach spaces and orthogonal multiscale L^1-approximation

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Chinese Science Bulletin 1999年第1期44卷 25-35页

作者： YANG LihuaDepartment of Scientific Computing and Computer Applications, School of Mathematics and Computing Science, Zhongshan (Sun Yatsen) University, Guangzhou 510275, China Institute of Mathematics, Chinese Academy of Sciences, Beijing 100080, China Department of Scientific Computing and Computer Applications School of Mathematics and Computing Science Zhongshan (Sun Yatsen) University Guangzhou China Institute of Mathematics Chinese Academy of Sciences Beijing China

The orthogonality in Hilbert spaces is extended to the general Banach spaces and a concrete shift-invariant orthogonal family in L^1(R) is constructed. The corresponding projection approximation theorems and the algor... 详细信息

关键词： Banach spaces orthogonality approximation multiscale analysis.

The effect of wave function orthogonality on the simultaneous ionization and excitation of helium

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Chinese Physics B 2013年第10期22卷 247-251页

作者：刘丽娟贾昌春张立民陈姣姣陈长进 School of Physics and Material Science Anhui University Department of Physics College of ScienceShantou University

Within the framework of the first-order Born approximation, the triple differential cross sections （TDCSs） for simultaneous ionization and excitation of helium are calculated. The wave function of the ejected electron is chosen to be orthogonal or non-orthogonal to the wave function of the bound electron before ionization. It is found that the orthogonality has a strong effect on the TDCS, especially when plane waves and Coulomb waves are used to describe the projectile and the ejected electron.

关键词： simultaneous ionization and excitation triple differential cross section （TDCS） first-order Bornapproximation orthogonality

VARIOUS NOTIONS OF orthogonality IN NORMED SPACES

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Acta Mathematica Scientia 2013年第5期33卷 1387-1397页

作者： N.B.OKELO J.O.AGURE P.O.OLECHE School of Mathematics and Actuarial Science Jaramogi Oginga Odinga University of Science and Technology School of Mathematics Statistics and Actuarial Science Maseno University

In this paper, we present various notions and aspects of orthogonality in normed spaces. Characterizations and generalizations of orthogonality are also consid- ered. Results on orthogonality of the range and the kern... 详细信息

关键词： orthogonality normed space elementary operator

A new orthogonality relationship for orthotropic thin plate theory and its variational principle

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Science China(Physics,Mechanics & Astronomy) 2005年第3期48卷 371-380页

作者： LUO Jianhui 1 , LONG Yuqiu 2 & LIU Guangdong 1 1. College of Civil Engineering, Hunan University, Changsha 410082, China 2. Department of Civil Engineering, Tsinghua University, Beijing 100084, China College of Civil Engineering Hunan University Changsha China Department of Civil Engineering Tsinghua University Beijing China

The thought how dual vectors are constructed in a new orthogonality relationship for theory of elasticity is generalized into orthotropic thin plate bending problems by using the analogy theory between plane elasticity problems and plate bending problems. Dual differential equations are directly obtained by using a mixed variables method. A dual differential matrix to be derived possesses a peculiarity of which principal diagonal sub-matrixes are zero matrixes. Two independently and symmetrically orthogonality sub-relationships are discovered. By using the integral form for elastic bending theory of orthotropic thin plate the orthogonality relationship is demonstrated. By selecting felicitous dual vectors a new orthogonality relationship for theory of elasticity can be generalized into elastic bending theory of orthotropic thin plate. By using the integral form a variational principle which is relative to differential form and a whole function expression are proposed.

关键词： theory of elasticity, thin plate theory, dual vectors, orthogonality relationship, orthotropic, variational principle.

TAYLOR SERIES AND orthogonality OF THE OCTONION ANALYTIC FUNCTIONS

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Acta Mathematica Scientia 2001年第3期21卷 323-330页

作者：李兴民彭立中 Department of Mathematics Guangzhou Normal University Guangzhou 510405 China Department of Mathematics Beijing University Beijing 100871 China

The Taylor series of the Octonion analytic function is given. And the orthogonal formula for the Octonion analytic functions is also obtained.

关键词： Octonion O-analytic function Taylor series orthogonality

A CRITERION FOR orthogonality OF REFINABLE FUNCTIONS

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Applied Mathematics(A Journal of Chinese Universities) 2001年第4期16卷 397-401页

作者： BiNing HuangDaren Dept.ofMath. ZhongshanUniv.Guangzhou510275. Dept.ofMath. HangzhouTeachers＇CollegeHangzhou310012 CenterforMath.Sci. ZhejiangUniv.Hangzhou310027.

In this note, a criterion for orthonormality of refinable functions via characteristic polynomial of a matrix is given.

关键词： Refinable function orthogonality Conjugate quadrature filter characteristic polynomial.

A new rotation method for constructing orthogonal Latin hypercube designs

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Science China Mathematics 2023年第4期66卷 839-854页

作者： Chong Sheng Jinyu Yang Min-Qian Liu National Key Laboratory for Complex Systems Simulation Beijing 100101China School of Statistics and Data Science LPMC&KLMDASRNankai UniversityTianjin 300071China

Latin hypercube designs(LHDs)are very popular in designing computer experiments.In addition,orthogonality is a desirable property for LHDs,as it allows the estimates of the main effects in linear models to be uncorrelated with each other,and is a stepping stone to the space-filling property for fitting Gaussian process models.Among the available methods for constructing orthogonal Latin hypercube designs(OLHDs),the rotation method is particularly attractive due to its theoretical elegance as well as its contribution to spacefilling properties in low-dimensional projections.This paper proposes a new rotation method for constructing OLHDs and nearly OLHDs with flexible run sizes that cannot be obtained by existing methods.Furthermore,the resulting OLHDs are improved in terms of the maximin distance criterion and the alias matrices and a new kind of orthogonal designs are constructed.Theoretical properties as well as construction algorithms are provided.

关键词： computer experiment factorial design Latin hypercube design maximin distance orthogonality

Chebyshev-Lagrange Multipliers Technique for Vibration Analysis of Functionally Graded Material Beams using Various Beam Theories

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Advances in Applied Mathematics and Mechanics 2022年第4期14卷 871-892页

作者： Sacharuck Pornpeerakeat Sakda Katawaethwarag Department of Teacher Training in Civil Engineering King Mongkut’s University of Technology North BangkokBangkok10800Thailand Research Centre for Advanced Computational and Experimental Mechanics(RACE) King Mongkut’s University of Technology North BangkokBangkok10800Thailand

In this paper,a new technique for analysing functionally graded material(FGM)beams using the Chebyshev polynomials and Lagrange multipliers with various beam theories is presented.By utilizing the inner products and the Chebyshev polynomials’orthogonality properties incorporated with Lagrange multipliers,we can combine the governing equation and boundary conditions to yield the matrix equations with explicit weighting coefficients.Numerical examples are provided for vibration analysis of various beam theories and assumptions.Based on numerical evaluations,it is revealed that the proposed technique can efficiently achieve good agreement with those of the references.

关键词： Chebyshev polynomials Lagrange multipliers functionally graded material orthogonality vibration analysis.