Proof of Riemann Conjecture Based on Contradiction between Xi-Function and Its Product Expression

Riemann proved three results: analytically continue ζ(s) over the whole complex plane s =σ + it with a pole s =1;(Theorem A) functional equation ξ(t) = G(s0)ζ (s0), s0 =1/2 + it and (Theorem B) product expression ξ1(t) by all roots of ξ(t). He stated Riemann conjecture (RC): All roots of ξ (t) are real. We find a mistake of Riemann: he used the same notation ξ(t) in two theorems. Theorem B must contain complex roots;it conflicts with RC. Thus theorem B can only be used by contradiction. Our research can be completed on s0 =1/2 + it. Using all real roots rk and (true) complex roots zj = tj + iaj of ξ (z), define product expressions w(t), w(0) =ξ(0) and Q(t) > 0, Q(0) =1 respectively, so ξ1(t) = w(t)Q(t). Define infinite point-set L(ω) = {t : t ≥10 and |ζ(s0)| =ω} for small ω > 0. If ξ(t) has complex roots, then ω =ωQ(t) on L(ω). Finally in a large interval of the first module |z1|>>1, we can find many points t ∈ L(ω) to make Q(t) . This contraction proves RC. In addition, Riemann hypothesis (RH) ζ for also holds, but it cannot be proved by ζ.

Brain functional changes in facial expression recognition in patients with major depressive disorder before and after antidepressant treatment A functional magnetic resonance imaging study

Functional magnetic resonance imaging was used during emotion recognition to identify changes in functional brain activation in 21 first-episode, treatment-naive major depressive disorder patients before and after antidepressant treatment. Following escitalopram oxalate treatment, patients exhibited decreased activation in bilateral precentral gyrus, bilateral middle frontal gyrus, left middle temporal gyrus, bilateral postcentral gyrus, left cingulate and right parahippocampal gyrus, and increased activation in right superior frontal gyrus, bilateral superior parietal Iobule and left occipital gyrus during sad facial expression recognition. After antidepressant treatment, patients also exhibited decreased activation in the bilateral middle frontal gyrus, bilateral cingulate and right parahippocampal gyrus, and increased activation in the right inferior frontal gyrus, left fusiform gyrus and right precuneus during happy facial expression recognition. Our experimental findings indicate that the limbic-cortical network might be a key target region for antidepressant treatment in major depressive disorder.

Expression pattern and function analyses of the MADS thranscription factor genes in wheat(Triticum aestivum L.) under phosphorusstarvation condition

supported by the National Natural Science Foundation of China （31201674 and 31371618）;the National Transgenic Major Program, China （2011ZX08008）

Renin and angiotensinogen expression and functions in growth and apoptosis of human glioblastoma

The expression and function in growth and apoptosis of the renin-angiotensin system(RAS)was evaluated inhuman glioblastoma.Renin and angiotensinogen(AGT)mRNAs and proteins were found by in situ hybridisationand immunohistochemistry in glioblastoma cells.Angiotensinogen was present in glioblastoma cystic fluids.Thus,human glioblastoma cells produce renin and AGT and secrete AGT.Human glioblastoma and glioblastoma cellsexpressed renin,AGT,renin receptor,AT(2)and/or AT(1)mRNAs and proteins determined by RT-PCR and/

Molecular characterization, expression and function analysis of eukaryotic translation initiation factor(eIF1A) in Mangifera indica

Eukaryotic translation initiation factor 1A(eIF1A)functions as an important regulatory factor of protein synthesis and plays a crucial role in responses to abiotic stresses in plants.However,little is known about the eIF1A gene involved in fruit development and stress response of mango.In this study,the MieIF1A-b gene was isolated from Mangifera indica,and contains a 435-bp open reading frame,which encodes a putative protein of 144 amino acids(GenBank accession number:KP676599).The predicted MieIF1A-b protein had a molecular weight of 16.39 kDa with a pI of 4.6.Sequence homology analysis showed that MieIF1A-b shared high homology with Elaeis guineensis,Manihot esculenta,and Populus trichocarpa,with 96 and 95%identity,respectively.Quantitative reverse transcriptative PCR(qRT-PCR)analyses indicated that MieIF1A-b was expressed in all tested tissues,and had the highest expression level in fruit 80 d after flowering.The expression of MieIF1A-b was obviously regulated by NaCl and H2O2 treatments in leaves.Functional analysis indicated that the overexpression of MieIF1A-b in transgenic Arabidopsis thaliana enhanced the growth,phenotype and salinity tolerance compared with wild-type(WT)plants.The results indicated that MieIF1A-b may be correlated with the control of fruit development and salt adaptation,and it was a candidate gene for abiotic stress in mango.

Reconfiguration of face expressions based on the discrete capture data of radial basis function interpolation

Compactly supported radial basis function can enable the coefficient matrix of solving weigh linear system to have a sparse banded structure, thereby reducing the complexity of the algorithm. Firstly, based on the compactly supported radial basis function, the paper makes the complex quadratic function （Multiquadric, MQ for short） to be transformed and proposes a class of compactly supported MQ function. Secondly, the paper describes a method that interpolates discrete motion capture data to solve the motion vectors of the interpolation points and they are used in facial expression reconstruction. Finally, according to this characteris- tic of the uneven distribution of the face markers, the markers are numbered and grouped in accordance with the density level, and then be interpolated in line with each group. The approach not only ensures the accuracy of the deformation of face local area and smoothness, but also reduces the time complexity of computing.

Establishment of a Functional Cell Line Expressing both Subunits of H1a and H2c of Human Hepatocyte Surface Molecule ASGPR

To better understand the effect of a new split variant of human asialoglycoprotein receptor (ASGPR H1b) on ASGPR ligands’ binding ability, we established a functional cell line which expresses ASGPR.The full lengths of ASGPRH1a and H2c fragments from human liver were amplified by reverse transcript PCR (RT-PCR) and inserted into eukaryotic expression vector pIRES2EFP, pCDNA3.1 (Zeo+) respectively.The recombinants were cotransfected into HeLa cells.After selection by using Neocin and Zeocin, a stably transfected cell line was established, which was designated 4-1-6.The transcription and expression of ASGPRH1a and H2c in 4-1-6 were confirmed by RT-PCR, Western blotting and immunofluorescence.The endocytosis function of the artificial "ASGPR" on the surface of 4-1-6 was tested by FACS.It was found that the cell line 4-1-6 could bind ASGPR natural ligand molecular asialo-orosomucoid (ASOR).After the eukaryotic plasmid H1b/pCDNA3.1 (neo) was transfected into cell line 4-1-6, H1b did not down-regulate the ligand binding ability of ASGPR.The eukaryotic expression plasmid H1b/pcDNA3.1 (neo) and H2c/pcDNA3.1 (neo) were co-transfected transiently into Hela cell.Neither single H1b nor H1b and H2c could bind ASOR.In conclusion, a functional cell line of human asialoglycoprotein receptor (ASGPR) which expresses both H1a and H2c stably was established.The new split variant H1b has no effect on ASGPR binding to ASOR.ASGPRH1b alone can’t bind to ASOR, it yet can’t form functional complex with ASGPRH2c.

Different levels of facial expression recognition in patients with firstepisode schizophrenia:A functional MRI study

Background The impairment of facial expression recognition has become a biomarker for early identification of first-episode schizophrenia, and this kind of research is increasing.Aims To explore the differences in brain area activation using different degrees of disgusted facial expression recognition in antipsychotic-na?ve patients with firstepisode schizophrenia and healthy controls.Methods In this study, facial expression recognition tests were performed on 30 first-episode, antipsychoticna?ve patients with schizophrenia(treatment group) and 30 healthy subjects(control group) with matched age, educational attainment and gender. Functional MRI was used for comparing the differences of the brain areas of activation between the two groups.Results The average response time difference between the patient group and the control group in the ‘high degree of disgust' facial expression recognition task was statistically significant(1.359(0.408)/2.193(0.625), F=26.65, p<0.001), and the correct recognition rate of the treatment group was lower than that of the control group(41.05(22.25)/59.84(13.91, F=19.81, p<0.001). Compared with the control group, the left thalamus, right lingual gyrus and right middle temporal gyrus were negatively activated in the patients with first-episode schizophrenia in the ‘high degree of disgust' emotion recognition, and there was a significant activation in the left and right middle temporal gyrus and the right caudate nucleus. However, there was no significant activation difference in the ‘low degree of disgust' recognition.Conclusions In patients with first-episode schizophrenia, the areas of facial recognition impairment are significantly different in different degrees of disgust facial expression recognition.

Functional near-infrared spectroscopy can detect low-frequency hemodynamic oscillations in the prefrontal cortex during steady-state visual evoked potentialinducing periodic facial expression stimuli presentation

Brain oscillations are vital to cognitive functions,while disrupted oscillatory activity is linked to various brain disorders.Although high-frequency neural oscillations(>1 Hz)have been extensively studied in cognition,the neural mechanisms underlying low-frequency hemodynamic oscillations(LFHO)<1 Hz have not yet been fully explored.One way to examine oscillatory neural dynamics is to use a facial expression(FE)paradigm to induce steady-state visual evoked potentials(SSVEPs),which has been used in electroencephalography studies of high-frequency brain oscillation activity.In this study,LFHO during SSVEP-inducing periodic flickering stimuli presentation were inspected using functional near-infrared spectroscopy(fNIRS),in which hemodynamic responses in the prefrontal cortex were recorded while participants were passively viewing dynamic FEs flickering at 0.2 Hz.The fast Fourier analysis results demonstrated that the power exhibited monochronic peaks at 0.2 Hz across all channels,indicating that the periodic events successfully elicited LFHO in the prefrontal cortex.More importantly,measurement of LFHO can effectively distinguish the brain activation difference between different cognitive conditions,with happy FE presentation showing greater LFHO power than neutral FE presentation.These results demonstrate that stimuli flashing at a given frequency can induce LFHO in the prefrontal cortex,which provides new insights into the cognitive mechanisms involved in slow oscillation.

THE IMPROVEMENT OF THE GENERAL EXPRESSION FOR THE STRESS FUNCTION φ OF THE TWO-DIMENSIONAL PROBLEM

In this paper, it is pointed that the general expression for the stress function of the plane problem in polar coordinates is incomplete. The problems of the curved bar with an arbitrary distributive load at the boundries can't he solved by this stress function. For this reason, we suggest two new stress functions and put them into the general expression. Then, the problems of the curved bar applied with an arbitrary distributive load at r=a,b boundaries can be solved. This is a new stress function including geometric boundary constants.

Molecular characterization and functional expression of opioid receptor-libe_1 receptor

The opioid receptor-libel receptor (ORL), an orphan receptor whose human and murine complementary DNAs,has been characterized recently. ORL transcripts are particularly abundant in the central nervous system. We demonstrated that ORL expressed in human neuroblastoma SK-N-SH and SH-SY5Y cell lines by radioligand binding assay, reverse transcription polymerase chain reaction (RT-PCR) and Northern analysis in the present study. Stimulation with ORL1 specific agonist, nociceptin/orphanin Fo, increased [34S]GTPrγS binding to SK-N-SH cell membranes (EC50 = 14 ±0.45 nM), and attenuated forskolin-stimulated accumulation of cellular cAMP (EC50= 0.80 ±0.45 nM, indicative that activation of ORL1 activates G proteins and inhibits adenylyl cyclase. Activation of ORL1 receptor was also accessed using CHO:hORL1 cell line by microphysiometer. Treatment of nociceptin/orphanin FQ increased extracellular acidification rate significantly.

Effects of auricular point pressing + Danshen Dropping Pill on platelet function, inflammatory response and protease expression in patients with stable angina pectoris

Objective:To investigate the effects of auricular point pressing plus Danshen Dropping Pill on platelet function, inflammatory response and protease expression in patients with stable angina pectoris.Methods:A total of 92 patients with stable angina pectoris who were treated in this hospital between November 2014 and November 2017 were divided into the auricular point pressing group (n=46) and routine group (n=46) by random number table method. Routine group were treated with routine western medicine plus Danshen Dropping Pill, auricular point pressing group were treated with auricular point pressing on the basis of the therapy of routine group, and both groups had been continuously treated for 1 month. The differences in platelet function, inflammatory response and protease expression were compared between the two groups before and after treatment.Results:Before treatment, there was no statistically significant difference in the platelet activation index levels, serum inflammatory factor contents or protease expression between the two groups. After 1 month of treatment, peripheral blood platelet activation index CD42b level of auricular point pressing group was higher than that of routine group whereas CD63 and PAC-1 levels were lower than those of routine group;serum inflammatory factors IL-6, IL-10, IL-18 and hs-CRP contents were lower than those of routine group;serum proteases MMP-1, MMP-2 and MMP-9 contents were lower than those of routine group.Conclusion:Compound Danshen Dropping Pill combined with auricular point pressing can further optimize the platelet function and improve the systemic inflammatory state and protease expression in patients with stable angina pectoris.

Transcriptome and Functional Analysis of Fiber-related Gene Expression in Cotton

Fiber cell initiation is a complex process involving many pathways,including phytohormones and components for transcriptional and posttranscriptional regulation.Here we report expression

Building up a general selection strategy and catalytic performance prediction expressions of heteronuclear double-atom catalysts for N_(2)reduction

The severe environmental problems and the demand for energy urgently require electrocatalysis to replace Haber-Bosch for the nitrogen reduction reaction(NRR).The descriptors and important properties of single-atom and homonuclear double-atom catalysts have been preliminarily explored,but the relationship between the inherent properties and catalytic activity of heteronuclear double-atom catalysts with better performance remains unclear.Therefore,it is very significant to explore the prediction expressions of catalytic activity of heteronuclear double-atom catalysts based on their inherent properties and find the rule for selecting catalytic centers.Herein,by summarizing the free energy for the key steps of NRR on 55 catalysts calculated through the first-principle,the expressions of predicting the free energy and the corresponding descriptors are deduced by the machine learning,and the strategy for selecting the appropriate catalytic center is proposed.The selection strategy for the central atom of heteronuclear double-atom catalysts is that the atomic number of central B atom should be between group VB and VIIIB,and the electron difference between central A atom and B atom should be large enough,and the selectivity of NRR or hydrogen evolution reaction(HER)could be calculated through the prediction formula.Moreover,five catalysts are screened to have low limiting potential and excellent selectivity,and are further analyzed by electron transfer.This work explores the relationship between the inherent properties of heteronuclear double-atom catalysts and the catalytic activity,and puts forward the rules for selecting the heteronuclear double-atom catalytic center,which has guiding significance for the experiment.

Functional expression of opioid receptor-like receptorand its endogenous specific agonist nociceptin/orphanin FQ during mouse embryogenesis

Expression of opioid receptor-like receptor (ORL1)and its endogenous peptide agonist nociceptin/orphaninFo (N/OFQ) during mouse embryogenesis have been investigated. Transcripts of ORL1 and N/OFQ were detected by RT-PCR in mouse brain of day 8 embryo (E8)and the expression continued afterwards. Northern blotanalysis revealed abundant expression of ORL1 at postnatal day 1 (P1) and N/OFQ at E17 and P1 in the brain butnone was detected in other embryonic tissues. The presence of functional ORL1 in mouse embryonic brain wasalso confirmed by specific binding of [3H] N/OFQ (kd=1.3±0.5 nM and Bmax = 72±9 fmol/mg protein) as wellas by N/OFQ-stimulated G protein activation.

急性脑出血模型大鼠脑组织中差异表达基因测序的验证及功能分析

背景:急性脑出血中存在差异表达的基因,这些基因与脑出血发生发展有关。目的:筛选急性脑出血大鼠模型脑组织中差异表达的基因和关键基因,并采用qPCR进行验证,分析关键基因与脑出血后神经功能、脑组织含水量的关系。方法:78只SD大鼠随机分为2组:脑出血组大鼠于右侧尾状核部位注射胶原酶构建脑出血模型,假手术组大鼠于相同部位注射等量生理盐水。运用TRIzol法将2组大鼠的脑组织提取出RNA,转录组测序,筛选急性脑出血脑组织的差异表达的基因,经过qPCR验证,分析基因与脑出血后神经功能、脑组织含水量的关系,并结合生物信息学对关键基因进行GO、KEGG功能富集分析。结果与结论:①筛选出10个关键基因,分别是CXCL8、SERPINE1、TFPI2、CXCR4、GDA、KCNQ5、ERICH3、SCN3B、CACNA1E、CCL20;②脑出血组的关键基因GDA、KCNQ5、ERICH3、SCN3B、CACNA1E含量低于假手术组(P<0.05),CXCL8、SERPINE1、TFPI2、CXCR4、CCL20含量高于假手术组(P<0.05);③关键基因GDA、KCNQ5、ERICH3、SCN3B、CACNA1E含量与脑组织含水量、神经功能缺损评分正相关(P<0.05),CXCL8、SERPINE1、TFPI2、CXCR4、CCL20含量与脑组织含水量、神经功能缺损评分负相关(P<0.05);④GO分析显示基因在生物过程差异表达基因主要富集于白细胞趋化性、趋化因子介导的信号通路;细胞组成差异表达基因主要富集于阳离子通道复合物、离子通道复合物;分子功能差异表达基因主要富集于门控通道活动、离子通道活动;⑤KEGG分析示基因集中于TNF信号通路、谷氨酸能突触、GABA能突触;⑥结论:在脑出血中出现差异表达的基因为CXCL8、SERPINE1、TFPI2、CXCR4、GDA、KCNQ5、ERICH3、SCN3B、CACNA1E、CCL20,这些基因与脑出血后脑组织含水量、神经功能相关,这些基因主要富集在细胞组分、结合功能、细胞突起等相关的生物学功能上。

Expression and functional identification of the hypothetical adhesin P32 from Mycoplasma genitalium

Mycoplasma genitalium is the main causative agent for non-gonococcal and non-chlamydial urethritis. P32 is the putative surface-exposed membrane protein of M. genitalium and it has substaintial identity in amino acid sequence with adhesin protein P30 from M. pnewnoniae. Since M. pneumoniae mutants lacking P30 protein is defective in cytadherence, P32 protein has been proposed to be an essential adhesin implicated in the adherence of M. genitalium to host cells. The prokaryotic expression vector pET-30 ( + )/p32 was constructed in the present study, and the recombinant protein was expressed in E. coli and purified under denaturing condition. As demonstrated by the immunoblotting analysis, the recombinant protein could react with rabbit antisera against M. genitalium, and adherence inhibition assays were petformed with antisera against this recombinant protein. It was demonstrated that P32 protein apperared to be an adhesion protein of M. genitalium, thus providing the experimental basis for better understanding of the pathogenesis of M. genitalium infection and for the development of the related vaccines against the infection.

花生赤霉素3-β-双加氧酶(AhGA3ox)基因家族的全基因组鉴定及表达分析

赤霉素3-β-双加氧酶(gibberellin 3-beta-dioxygenase,GA3ox)是参与赤霉素生物合成的关键酶之一,可通过影响赤霉素的形成调控植物的生长发育,目前在花生中尚无系统研究。本研究利用生物信息学方法在花生栽培种基因组数据库中筛选花生GA3ox家族基因,对鉴定出的7个AhGA3ox在栽培种花生基因组中的分布、结构及进化特征、理化性质、启动子顺式作用元件进行分析,并利用qRT-PCR技术对其进行花生组织结构表达模式分析,同时对AhGA3ox家族基因在不同荚果大小的2个花生品系中的表达量进行分析。结果表明,7个AhGA3ox基因分布在7条染色体上,均由1个内含子和2个外显子组成。花生AhGA3ox蛋白中均包含1个DIOX_N结构域和1个2OG-FeII_Oxy结构域,系统进化分析表明与大豆的亲缘关系较近,在根、茎、叶、花、果针5个组织中呈现出不同表达模式,不仅在花生果壳不同发育时期的表达量不同,在2个荚果大小不同的花生品系果壳相同发育时期的表达量也不相同,但多数发育时期在大果品系中的表达量均显著高于小果品系,推测该家族基因的表达可能对荚果的形成具有促进作用。

王族海棠Alfin-like家族基因的鉴定及盐胁迫下的表达分析

Alfin-like(AL)转录因子家族对非生物胁迫反应具有重要的调控作用。本研究采用同源比对的方法检索鉴定王族海棠AL转录因子家族基因,系统分析其生物信息学特性,并采用qRT-PCR方法分析其在盐胁迫下的表达模式,以期为揭示AL家族在王族海棠响应盐胁迫中的生理功能提供理论依据。结果表明,从王族海棠基因组中共鉴定出11个MdALs基因,分布在6条染色体上,分别命名为MdAL1—MdAL11。MdALs转录因子具有高度保守的Alfin结构域和PHD锌指结构域,含4~10个内含子;上游启动子区域有大量与植物激素和非生物胁迫响应相关的顺式作用元件,且基因片段复制事件在MdAL基因家族的扩展中起着至关重要的作用。转录组分析显示MdALs基因主要在王族海棠生育后期高表达。qRT-PCR分析进一步表明,MdALs基因在王族海棠遭受盐胁迫下的表达模式不同,盐胁迫下,MdAL3、MdAL4、MdAL6基因的表达量整体上调,尤其MdAL4基因,其表达水平随着盐胁迫处理时间的延长呈显著增加趋势。综上,王族海棠AL转录因子家族与植物响应激素变化和非生物胁迫密切相关,尤其是MdAL4基因,强烈响应盐胁迫,这可为利用基因工程技术改良王族海棠种质奠定基础。