A DEVELOPMENT ON APPROXIMATION BY MONOTONE SEQUENCES OF POLYNOMIALS

Recently people proved that every f∈C[0, 1] can be uniformly approximated by polynomial sequences {P_n}, {Q_n} such for any x∈[0,1] and n=1,2,…that Q_n(x)<Q_(n+1)(x)<f(x)<P_(n+1)(x)<P_n(x). For example, Xie and Zhou showed that one can construct such monotone polynomial sequences which do achieve the best uniform approximation rate for a continuous func- tion. Actually they obtained a result as ‖P_n(x)-Q_n(x)‖≤42E_n (f), (1) which essentially improved a conclusion in Gal and Szabados. The present paper, by optimal procedure, improves this inequality to ‖[P_n(x)-Q_n(x)‖≤(18+ε)E_n(f), where εis any positive real number.

De novel heterozygous copy number deletion on 7q31.31-7q31.32 involving TSPAN12 gene with familial exudative vitreoretinopathy in a Chinese family

AIM:To investigate the genetic and clinical characteristics of patients with a large heterozygous copy number deletion on 7q31.31-7q31.32.METHODS:A family with familial exudative vitreoretinopathy(FEVR)phenotype was included in the study.Whole-exome sequencing(WES)was initially used to locate copy number variations(CNVs)on 7q31.31-31.32,but failed to detect the precise breakpoint.The long-read sequencing,Oxford Nanopore sequencing Technology(ONT)was used to get the accurate breakpoint which is verified by quantitative real-time polymerase chain reaction(QPCR)and Sanger Sequencing.RESULTS:The proband,along with her father and younger brother,were found to have a heterozygous 4.5 Mb CNV deletion located on 7q31.31-31.32,which included the FEVRrelated gene TSPAN12.The specific deletion was confirmed as del(7)(q31.31q31.32)chr7:g.119451239_123956818del.The proband exhibited a phase 2A FEVR phenotype,characterized by a falciform retinal fold,macular dragging,and peripheral neovascularization with leaking of fluorescence.These symptoms led to a significant decrease in visual acuity in both eyes.On the other hand,the affected father and younger brother showed a milder phenotype.CONCLUSION:The heterozygous CNV deletion located on 7q31.31-7q31.32 is associated with the FEVR phenotype.The use of long-read sequencing techniques is essential for accurate molecular diagnosis of genetic disorders.

An Uncertainty Analysis and Reliability-Based Multidisciplinary Design Optimization Method Using Fourth-Moment Saddlepoint Approximation

In uncertainty analysis and reliability-based multidisciplinary design and optimization(RBMDO)of engineering structures,the saddlepoint approximation(SA)method can be utilized to enhance the accuracy and efficiency of reliability evaluation.However,the random variables involved in SA should be easy to handle.Additionally,the corresponding saddlepoint equation should not be complicated.Both of them limit the application of SA for engineering problems.The moment method can construct an approximate cumulative distribution function of the performance function based on the first few statistical moments.However,the traditional moment matching method is not very accurate generally.In order to take advantage of the SA method and the moment matching method to enhance the efficiency of design and optimization,a fourth-moment saddlepoint approximation(FMSA)method is introduced into RBMDO.In FMSA,the approximate cumulative generating functions are constructed based on the first four moments of the limit state function.The probability density function and cumulative distribution function are estimated based on this approximate cumulative generating function.Furthermore,the FMSA method is introduced and combined into RBMDO within the framework of sequence optimization and reliability assessment,which is based on the performance measure approach strategy.Two engineering examples are introduced to verify the effectiveness of proposed method.

Identification of a LMNA (c.646C>T) variant by whole-exome sequencing in combination with a dilated cardiomyopathy (DCM) related gene filter in a family with familiar DCM

Dilated cardiomyopathy（DCM）is characterized by the dilated heart chambers and reduced systolic function in the absence of specific aetiology[1].Approximately one third of DCM cases are hereditary.In recent years,DCM concomitant with arrhythmias and sudden death resulting from gene mutation has been widely

A High Efficiency Spread Spectrum Scheme Using Approximate Orthogonal Complex Sequences

This paper presents a high efficiency spread spectrum scheme using approximate orthogonal complex (AOC) sequences. In this scheme, the 64 AOC sequences picked up from 84 complex sequences space are employed for spreading spectrum. In modulation, 6 input bits is used to select one AOC sequence, and the selected sequence is then phase-rotated by another 2 input bits. In demodulator, a complex correlator detects the transmitted AOC sequence. Simulation results show that the proposed scheme has better BER performance than the existing complementary code keying (CCK) modulation scheme. For AOC, additional processing gain of 1.79dB can be obtained when the sequence length is 8.

ON REMES ALGORITHA FOR THE BEST CHEBYSHEV APPROXIMATION FROM VARISOLVENT FAMILY

In this paper, Remes algorithm is applied to compute the numerical solution of the best chebyshev approximation from varisolvent family. Feasibility and convergence of the algorithm are discussed carefully.

GENERALIZED I-NONEXPANSIVE MAPS AND INVARIANT APPROXIMATION RESULTS IN p-NORMED SPACES

Abstract We extend the concept of R-subeommuting maps due to Shahzad to the case of non-starshaped domain and obtain a common fixed point result for this class of maps on non-starshaped domain in the setup of p-norraed spaces. As applications, we establish noncommutative versions of various best approximation results for generalized I-nonexpansive maps on non-starshaped domain. Our results unify and extend that of Al- Thagafi, Dotson, IIabiniak, Jungck and Senna, Latif, Sahab, Khan and Sessa and Shahzad.

ON POINTWISE R-SUBWEAKLY COMMUTING MAPS AND BEST APPROXIMATIONS

The main purpose of this paper is to prove some common fixed point theorems for pointwise R-subweakly commuting maps on non-starshaped domains in p-normed spaces and locally convex topological vector spaces. As applications, invariant approximation results are established. This work provides extension as well as substantial improvement of several results in the existing literature.

A Note on the Statistical Approximation Properties of the Modified Discrete Operators

In this present paper, firstly, the modified positive operators and their discrete operators are constructed. Then, we investigate the statistical approximation properties and rates of convergence by using modulus of continuity of these positive linear operators. Finally, we obtain the rate of statistical convergence of truncated operators.

Family with sequence similarity 134 member B-mediated reticulophagy ameliorates hepatocyte apoptosis induced by dithiothreitol

BACKGROUND Endoplasmic reticulum(ER)stress-related hepatocyte apoptosis is responsible for multiple hepatic diseases.Previous studies have revealed that endoplasmic reticulophagy(ER-phagy)promotes the selective clearance of damaged ER fragments during ER stress,playing a crucial role in maintaining ER homeostasis and inhibiting apoptosis.Family with sequence similarity 134 member B(FAM134B)is a receptor involved in ER-phagy that can form a complex with calnexin(CNX)and microtubule-associated protein 1 light chain 3(LC3).The complex can mediate the selective isolation of ER fragments to attenuate hepatocyte apoptosis.However,the precise regulatory mechanisms remain unclear.AIM To elucidate the effect of FAM134B-mediated ER-phagy on ER stress-induced apoptosis in buffalo rat liver 3A(BRL-3A)rat hepatocytes and the potential regulatory mechanisms.METHODS ER stress-related hepatocyte apoptosis was induced using dithiothreitol(DTT).Proteins related to ER stress and autophagy were measured with western blotting.Protein complex interactions with FAM134B were isolated by co-immunoprecipitation.ER-phagy was evaluated in immunofluorescence experiments.Cell cycle distribution and apoptosis were measured by flow cytometry.Mitochondrial Ca^(2+) levels were evaluated by the co-localization of intracellular Ca^(2+)-tracker and Mitotracker.The small interfering RNA against FAM134B was used to knockdown FAM134B in BRL-3A cells.RESULTS ER stress-related and autophagy-related proteins in BRL-3A cells were elevated by both short and long-term DTT treatment.Furthermore,co-immunoprecipitation confirmed an interaction between FAM134B,CNX,FAM134B,and LC3 in BRL-3A cells.Immunofluorescence assays revealed that autolysosomes significantly decreased following short-term DTT treatment,but increased after long-term treatment.Mitochondrial Ca2+levels and apoptotic rates were dramatically elevated,and more cells were arrested in the G1 stage after short-term DTT treatment;however,these decreased 48 h later.Moreover,FAM134B downregulation accelerated mitochondrial apoptotic pathway activation and aggravated hepatocyte apoptosis under ER stress.CONCLUSION FAM134B-mediated ER-phagy attenuates hepatocyte apoptosis by suppressing the mitochondrial apoptotic pathway.Our findings provide new evidence highlighting the importance of FAM134Bmediated ER-phagy in attenuating hepatocyte apoptosis.

A LARGE CLASS OF BINARY ZCZ SEQUENCE FAMILIES CONSTRUCTED BY PERIOD DOUBLING

In an Approximately Synchronized Code Division Multiple Access (AS-CDMA) commu-nication system,a family with large number of Zero Correlation Zone (ZCZ) sequences is desired,which can satisfy the rapid increase of users. This paper presents a method to generate a (2L ,2M ,Zc' z )-ZCZsequence family from an original (L ,M ,Z cz)-ZCZsequence family,where Z c' z =Zcz if Z czis even and Z c' z = Zcz 1if Z czis odd. This method can also recursively act on a ZCZ sequence family to construct a series of ZCZ sequence families with large sequence number and zero correlation zone length identical to or one less than that of original ZCZ sequences.

Identification of 1q21.1 microduplication in a family:A case report

BACKGROUND Copy number variation(CNV)has become widely recognized in recent years due to the extensive use of gene screening in developmental disorders and epilepsy research.1q21.1 microduplication syndrome is a rare CNV disease that can manifest as multiple congenital developmental disorders,autism spectrum disorders,congenital malformations,and congenital heart defects with genetic heterogeneity.CASE SUMMARY We reported a pediatric patient with 1q21.1 microduplication syndrome,and carried out a literature review to determine the correlation between 1q21.1microduplication and its phenotypes.We summarized the patient’s medical history and clinical symptoms,and extracted genomic DNA from the patient,her parents,elder brother,and sister.The patient was an 8-mo-old girl who was hospitalized for recurrent convulsions over a 2-mo period.Whole exon sequencing and whole genome low-depth sequencing(CNV-seq)were then performed.Whole exon sequencing detected a 1.58-Mb duplication in the CHR1:145883867-147465312 region,which was located in the 1q21.1 region.Family analysis showed that the pathogenetic duplication fragment,which was also detected in her elder brother’s DNA originated from the mother.CONCLUSION Whole exon sequencing combined with quantitative polymerase chain reaction can provide an accurate molecular diagnosis in children with 1q21.1 microduplication syndrome,which is of great significance for genetic counseling and early intervention.

基于转录组信息的百合SWEET基因家族鉴定及表达特性分析

以东方百合品种‘西伯利亚’为试材,采用生物信息学方法,研究了百合SWEET基因家族成员编码蛋白的理化性质、二级结构、系统进化、保守结构域、Motif及基因表达模式,对百合SWEET基因家族成员进行鉴定,探究其在鳞茎发育过程中的作用,以期为该类基因生物学功能和百合地下茎生鳞茎发育机制的研究提供参考依据。结果表明:从转录组数据鉴定到了12个SWEET基因,所有家族成员都为稳定的疏水蛋白,且均含有MtN3_slv结构域,可划分为4个亚家族,不同成员在百合茎生鳞茎形成和进一步发育中差异表达。

丢番图逼近与三角数列的极限

利用丢番图逼近理论中的无理测度方法得到了三角数列的一些极限公式,并给出了其在幂级数中的一些应用.

Sin3A基因变异致Witteveen-Kolk综合征遗传学分析

目的 探讨开关不敏感3转录调节因子家族成员A(Sin3A)基因变异导致的Witteveen-Kolk综合征临床表型和遗传学特点。方法 收集1例发育迟缓患儿的临床资料,对患儿及其父母进行全外显子基因测序,采用Sanger测序验证可疑变异,并进行家系分析。结合文献分析Witteveen-Kolk综合征的临床特征和基因变异特点。结果 Witteveen-Kolk综合征患儿临床表现主要为轻中度智力障碍或发育迟缓、特殊面容(长脸、前额突出、鼻梁凹陷、长人中等)、身材矮小。颅脑磁共振成像(MRI)显示不同程度的脑畸形。全外显子基因测序结果显示,患儿Sin3A基因存在移码变异c.803dupC(p.Leu269Thrfs*37)(杂合)。Sanger测序证实存在变异位点,患儿父母该位点均为正常基因型。gnomAD等对照人群数据库未收录该变异位点,根据美国医学遗传学和基因组学学会(ACMG)/美国分子病理学学会(AMP)指南归类为“致病性”变异。结论 Sin3A基因变异可导致Witteveen-Kolk综合征。基因检测可明确生长发育迟缓伴特殊面容患儿的病因。

一测多评法测定法制半夏曲中11种成分含量及其GRA、EW-TOPSIS质量评价

目的采用一测多评(QAMS)法同时测定法制半夏曲中肌苷、鸟苷、腺苷等11种成分含量,并建立其灰色关联度分析(GRA)联合熵权逼近理想解排序分析法(EW-TOPSIS)综合质量评价方法。方法采用Shimadzu C 18色谱柱;乙腈-0.5%醋酸为流动相,梯度洗脱,流速1.0 mL·min-1;检测波长254和290 nm。以对甲氧基肉桂酸乙酯为内参比物质,计算其他10个成分的相对校正因子(RCF),测定各成分含量。采用GRA联合EW-TOPSIS模型对法制半夏曲进行综合质量评价。结果法制半夏曲中11种成分在一定浓度范围内线性关系良好,相关系数均>0.999;平均加样回收率96.94%~100.12%(RSD<2.0%,n=9);QAMS与外标法(ESM)实测值无明显差异。GRA模型相对关联度0.2903~0.6187,EW-TOPSIS模型相对接近度0.2114~0.6343;GRA和EW-TOPSIS模型综合评价结果基本一致。结论QAMS法便捷、准确,可用于法制半夏曲多指标成分定量控制,GRA联合EW-TOPSIS模型可用于法制半夏曲综合质量评价。

先天缺牙相关EDAR基因突变报道及携带双突变位点的HED家系分析

目的·探索先天缺牙相关的外异蛋白A受体(ectodysplasin A receptor,EDAR)基因突变位点,初步分析EDAR基因突变导致综合征型和非综合征型缺牙的原因。方法·研究对象为就诊于上海交通大学医学院附属第九人民医院口腔第二门诊部的先天缺牙患者及其家系成员,提取其外周血中的基因组DNA进行全外显子组测序。通过初步筛选后,用PolyPhen-2、Mutation Taster、Provean对潜在突变位点的有害性进行预测,对分析后的突变位点进行Sanger测序验证。进行突变位点的保守性分析,使用在线工具Swiss-Model进行同源建模,分析EDAR蛋白的三维结构变化。对患者及其家系成员的先天缺牙和全身发育情况进行临床检查。结果·在纳入的先天缺牙患者中共发现5名EDAR基因突变患者,1名患者携带移码突变c.368_369insC(p.L123fs),4名患者携带错义突变。在EDAR错义突变患者中,有2名患有非综合征型缺牙(nonsyndromic tooth agenesis,NSTA),分别携带c.77C>A(p.A26E)纯合突变和c.380C>T(p.P127L)杂合突变。另外2名患有少汗型外胚层发育不良(hypohidrotic ectodermal dysplasia,HED),均带有2个基因突变位点:1名为EDAR复合杂合患者,携带来自父亲的EDAR c.77C>T(p.A26V)和来自母亲的EDAR c.1281G>C(p.L427F);另1名为EDAR、外异蛋白A(ectodysplasin A,EDA)双基因突变患者,EDAR c.1138A>C(p.S380R)和EDA c.1013C>T(p.T338M)均来自母亲,这2个位点在此前的报道中仅与NSTA相关。EDAR c.1281G>C(p.L427F)、c.77C>A(p.A26E)为未被报道过的错义突变新位点。错义突变可能通过改变氨基酸残基极性、电荷或体积等,对蛋白空间构象造成影响;移码突变造成了非3整倍数的碱基增加,可能导致蛋白的截短或降解。结论·发现了2个新的EDAR错义突变位点,报道了由EDAR纯合突变导致的NSTA以及由EDA、EDAR双基因突变导致HED的病例,扩展了对于EDAR突变造成HED和NSTA的致病机制的理解。

K-框架及其K-对偶Bessel序列

研究了K-框架及其K-对偶Bessel序列。首先,给出了Bessel序列为K-框架的充要条件,在闭子空间R(K)上借助逼近K-对偶,研究了构造K-框架及其对偶的方法。其次,给出了两个K-框架是逼近K-对偶的充要条件,得到了构造逼近K-对偶的简单方法。最后,基于K-对偶Bessel序列,在R(K)上构造了可与K-框架交换位置的Bessel序列。

短周期PN序列水声直扩系统抗单频干扰能力的变化规律与试验验证

对无法定量分析短周期PN序列直扩系统抗单频干扰性能的问题,首先通过理论推导得到单频干扰经相关处理产生的干扰分量;然后,结合直扩系统对单频干扰的处理增益,针对水声系统扩频序列周期较短的现实情况,提出了周期性PN序列水声直扩系统抗单频干扰性能定量分析的理论表达式;最后,通过仿真和试验验证了理论表达式的正确性。结果表明:单频干扰经相关处理后得到的干扰序列呈直流或正弦分布;单频干扰对系统误码率的影响与信干比、干扰频偏、相位偏差以及扩频码本身结构有关,误码率随干扰相位偏差变化呈周期分布;在干扰频偏值为整数倍码元带宽的所有工况中,频偏为一倍码元带宽的单频干扰对系统影响最大;简明的理论表达式,对快速预报现实短码水声系统抗单频干扰性能的变化规律具有重要意义。

基于转录组测序的红树莓bHLH转录因子家族鉴定及分析

bHLH转录因子是植物中数量较大的一类转录因子家族,在植物的生长发育、次级代谢调控、激素响应等方面发挥着重要作用。红树莓果实中含有丰富的树莓酮,为了深入探究bHLH转录因子在红树莓生长发育及树莓酮合成过程中的作用,该研究基于‘波尔卡’和‘橙色传奇’2种红树莓果实的转录组测序,鉴定了红树莓bHLH基因家族成员,并对这些基因进行生物信息学分析。结果表明:(1)红树莓果实中共鉴定到95个bHLH转录因子家族成员。(2)红树莓的bHLH转录因子家族成员多数为不稳定蛋白;超过半数成员定位于细胞核。(3)bHLH转录因子N端包含保守的His5-Glu9-Arg13序列,C端包含保守的Leu序列。(4)系统发育树将该家族成员分为20个亚家族,其中R亚家族成员最多,有12个。(5)表达模式图表明bHLH转录因子在青果期表达量较高,成熟期表达量较低。该研究结果为筛选与树莓酮含量变化一致的bHLH转录因子提供了依据,为进一步探究红树莓bHLH家族的功能提供了参考。