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On Some Mathematical Connections between the Cyclic Universe, Inflationary Universe, p-Adic Inflation, p-Adic Cosmology and Various Sectors of Number Theory
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作者 Michele Nardelli 《Journal of Modern Physics》 2024年第11期1869-1958,共90页
This paper is a review, a thesis, of some interesting results that have been obtained in various research concerning the “brane collisions in string and M-theory” (Cyclic Universe), p-adic inflation and p-adic cosmo... This paper is a review, a thesis, of some interesting results that have been obtained in various research concerning the “brane collisions in string and M-theory” (Cyclic Universe), p-adic inflation and p-adic cosmology. In Section 2, we have described some equations concerning cosmic evolution in a Cyclic Universe. In Section 3, we have described some equations concerning the cosmological perturbations in a Big Crunch/Big Bang space-time, the M-theory model of a Big Crunch/Big Bang transition and some equations concerning the solution of a braneworld Big Crunch/Big Bang Cosmology. In Section 4, we have described some equations concerning the generating ekpyrotic curvature perturbations before the Big Bang, some equations concerning the effective five-dimensional theory of the strongly coupled heterotic string as a gauged version of N=1five-dimensional supergravity with four-dimensional boundaries, and some equations concerning the colliding branes and the origin of the Hot Big Bang. In Section 5, we have described some equations regarding the “null energy condition” violation concerning the inflationary models and some equations concerning the evolution to a smooth universe in an ekpyrotic contracting phase with w>1. In Section 6, we have described some equations concerning the approximate inflationary solutions rolling away from the unstable maximum of p-adic string theory. In Section 7, we have described various equations concerning the p-adic minisuperspace model, zeta strings, zeta nonlocal scalar fields and p-adic and adelic quantum cosmology. In Section 8, we have shown various and interesting mathematical connections between some equations concerning the p-adic inflation, the p-adic quantum cosmology, the zeta strings and the brane collisions in string and M-theory. Furthermore, in each section, we have shown the mathematical connections with various sectors of Number Theory, principally the Ramanujan’s modular equations, the Aurea Ratio and the Fibonacci’s numbers. 展开更多
关键词 String theory M-theory Cyclic Cosmology p-Adic and Adelic Analysis Number theory Ramanujan’s Modular Equations
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Exercise-induced modulation of miR-149-5p and MMP9 in LPS-triggered diabetic myoblast ER stress: licorice glycoside E as a potential therapeutic target 被引量:1
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作者 Yi Du Hong Liu 《Traditional Medicine Research》 2024年第8期23-34,共12页
Background:This study explores the relationship between endoplasmic reticulum(ER)stress and diabetes,particularly focusing on the impact of physical exercise on ER stress mechanisms and identifying potential therapeut... Background:This study explores the relationship between endoplasmic reticulum(ER)stress and diabetes,particularly focusing on the impact of physical exercise on ER stress mechanisms and identifying potential therapeutic drugs and targets for diabetes-related sepsis.The research also incorporates traditional physical therapy perspectives,emphasizing the genomic insights gained from exercise therapy in disease management and prevention.Methods:Gene analysis was conducted on the GSE168796 and GSE94717 datasets to identify ER stress-related genes.Gene interactions and immune cell correlations were mapped using GeneCard and STRING databases.A screening of 2,456 compounds from the TCMSP database was performed to identify potential therapeutic agents,with a focus on their docking potential.Techniques such as luciferase reporter gene assay and RNA interference were used to examine the interactions between microRNA-149-5p and MMP9.Results:The study identified 2,006 differentially expressed genes and 616 miRNAs.Key genes like MMP9,TNF-α,and IL1B were linked to an immunosuppressive state.Licorice glycoside E demonstrated high affinity for MMP9,suggesting its potential effectiveness in treating diabetes.The constructed miRNA network highlighted the regulatory roles of MMP9,IL1B,IFNG,and TNF-α.Experimental evidence confirmed the binding of microRNA-149-5p to MMP9,impacting apoptosis in diabetic cells.Conclusion:The findings highlight the regulatory role of microRNA-149-5p in managing MMP9,a crucial gene in diabetes pathophysiology.Licorice glycoside E emerges as a promising treatment option for diabetes,especially targeting MMP9 affected by ER stress.The study also underscores the significance of physical exercise in modulating ER stress pathways in diabetes management,bridging traditional physical therapy and modern scientific understanding.Our study has limitations.It focuses on the microRNA-149-5p-MMP9 network in sepsis,using cell-based methods without animal or clinical trials.Despite strong in vitro findings,in vivo studies are needed to confirm licorice glycoside E’s therapeutic potential and understand the microRNA-149-5p-MMP9 dynamics in real conditions. 展开更多
关键词 ER stress diabetes physical exercise gene expression microRNA-149-5p MMP9 licorice glycoside E traditional physical therapy genomics insights
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Analysis of Young Girls’Eagerness to Spend for Disney Virtual Characters Based on Marketing Mix Theory
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作者 HUANG Xiaoyu 《Psychology Research》 2023年第4期188-194,共7页
A virtual character is a design of a fictitious creature with distinctive characteristics created by people,and Disney virtual characters are those Intellectual Property(IP)images that appeared in Disneyland and Disne... A virtual character is a design of a fictitious creature with distinctive characteristics created by people,and Disney virtual characters are those Intellectual Property(IP)images that appeared in Disneyland and Disney movies.This investigation aimed to explore why many younger females are keen to spend money on Disney virtual characters.This paper adopted the Marketing Mix Theory strategy(product,price,placement,and promotion(4P)),and the SWOT analysis method has been utilized.This paper investigated the relationship between the 4Ps and consumers’purchasing intentions,and it turned out that unique design and effective promotion in this Disney case would promote consumers’purchase intention,while the higher price and less accessible placements affected their purchase intentions.Thus,the high price and limited places somewhat inhibit customers’desire to buy;due to the attractiveness of the product itself and the promotion on the internet,the target consumers are still willing to consume. 展开更多
关键词 Marketing Mix theory 4P SWOT(strengths WEAKNESS opportunities threats)analysis DISNEY virtual characters
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Theoretical analysis of the double-differential cross-sections of neutron,proton,deuteron,^(3)He,andαfor the p+^(6) Li reaction
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作者 Fang-Lei Zou Xiao-Jun Sun +10 位作者 Jing-Shang Zhang Hai-Rui Guo Yin-Lu Han Rui-Rui Xu Xi Tao Ji-Min Wang Xiao-Dong Sun Yuan Tian Tao Ye Yong-Li Xu Chun-Tian Liang 《Nuclear Science and Techniques》 SCIE EI CAS CSCD 2024年第3期181-197,共17页
Based on the unified Hauser–Feshbach and exciton model,which can describe the particle emission processes between discrete energy levels with energy,angular momentum,and parity conservations,a statistical theory of l... Based on the unified Hauser–Feshbach and exciton model,which can describe the particle emission processes between discrete energy levels with energy,angular momentum,and parity conservations,a statistical theory of light nucleus reaction(STLN)is developed to calculate the double-differential cross-sections of the outgoing neutron and light charged particles for the proton-induced^(6) Li reaction.A significant difference is observed between the p+^(6) Li and p+^(7) Li reactions owing to the discrepancies in the energy-level structures of the targets.The reaction channels,including sequential and simultaneous emission processes,are analyzed in detail.Taking the double-differential cross-sections of the outgoing proton as an example,the influence of contaminations(such as^(1) H,^(7)Li,^(12)C,and^(16)O)on the target is identified in terms of the kinetic energy of the first emitted particles.The optical potential parameters of the proton are obtained by fitting the elastic scattering differential cross-sections.The calculated total double-differential cross-sections of the outgoing proton and deuteron at E_(p)=14 MeV agree well with the experimental data for different outgoing angles.Simultaneously,the mixed double differential cross-sections of^(3) He andαare in good agreement with the measurements.The agreement between the measured data and calculated results indicates that the two-body and three-body breakup reactions need to be considered,and the pre-equilibrium reaction mechanism dominates the reaction processes.Based on the STLN model,a PLUNF code for the p+^(6) Li reaction is developed to obtain an ENDF-6-formatted file of the double-differential cross-sections of the nucleon and light composite charged particles. 展开更多
关键词 Statistical theory of light nucleus reaction p+^(6)Li reaction Light composite charged particle Double-differential cross-sections Two-body breakup Three-body breakup
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System Assimilation of E-Skills in Tertiary Institutions to Empower Graduates in South Africa
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作者 Oluwaseun Johnson Awosejo Agnieta Pretorius Tendani Justice Lavhengwa 《Journal of Intelligent Learning Systems and Applications》 2024年第3期222-241,共20页
The value of system assimilation is to improve working relationships between tutors and learners while increasing workflow efficiency among tertiary institutions with low operational costs. E-skills could be described... The value of system assimilation is to improve working relationships between tutors and learners while increasing workflow efficiency among tertiary institutions with low operational costs. E-skills could be described as electronic education development, to assist ICT professionals to reach their future career goals and aim to help users boost their ICT skills. In a society that is expanding, it is also a crucial issue to take into account. Researchers have turned their attention to this topic because of its significance and contribution to the empowerment of graduates in digital education. Many scholars have proposed many methods for integrating e-skills into society with impressive results, but the rising rate of graduate unemployment in South Africa is gradually becoming a big worry in our society. A model based on Activity Theory (AT) and e-skills will be developed in our tertiary institution to equip graduates with skills that will increase their employability and provide more individualized work opportunities as part of this study’s effort to solve this issue. With the use of the Statistical Package for the Social Sciences (SPSS) and Cronbach’s Alpha for validity and reliability testing, the study will create an experimental performance to assess the approach taken to measure e-skills in tertiary institutions to empower graduates in South Africa. The study established that system development and e-skilled models for tertiary institutions are growing gradually, especially in South African institutions, that empower graduates with profitable employability with experiences to improve work operation in the industries. In conclusion, system development and e-skills are very demanding but important to empower graduate employability to determine competency in the professional workforce. 展开更多
关键词 System Integration E-Skills Empower Graduate Tertiary Institution Activity theory Tertiary Institution
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Introduction of Internet P.E News Reporter
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作者 王丽娜 王麟 《科技视界》 2013年第15期18-18,共1页
Consistent with previous research, results showed men get more paragraphs and photography coverage. Interestingly, women's factual information is always associated with relevant men report, including P.E relevant ... Consistent with previous research, results showed men get more paragraphs and photography coverage. Interestingly, women's factual information is always associated with relevant men report, including P.E relevant with personal information. 展开更多
关键词 P E NEWS INTERNET P E INTRODUCTION
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Development Characteristics of Private P.E Economy
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作者 王丽娜 王麟 《科技视界》 2013年第13期30-30,共1页
The regional policy in the innovation development of private P.E economy plays better role in management according to law,guidance and escort;increase the macro quality of main body of private P.E entrepreneurs and th... The regional policy in the innovation development of private P.E economy plays better role in management according to law,guidance and escort;increase the macro quality of main body of private P.E entrepreneurs and the overall staff quality,develop P.E vocational P.E to provide P.E talents for private P.E economy. 展开更多
关键词 P E ECONOMY Leap DEVELOPMENT CHARACTERISTICS
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Insight into Reaction Mechanism of Sirtuins via Molecular Simulation and Density Functional Theory Study 被引量:1
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作者 ZHAO Yong-shan HOU Rui-zhe +2 位作者 ZHANG Hong-xing ZHENG Qing-chuan SUN Chia-chung 《Chemical Research in Chinese Universities》 SCIE CAS CSCD 2010年第5期833-837,共5页
With density functional theory(DFT) and molecular mechanics method, the catalytic mechanism of silent information regulator(sirtuins) has been investigated. The calculations support the SN2-1ike reaction of the in... With density functional theory(DFT) and molecular mechanics method, the catalytic mechanism of silent information regulator(sirtuins) has been investigated. The calculations support the SN2-1ike reaction of the initial step of the catalysis, and are consistent with experiment results. We further explored the second step of the catalysis and proposed that this step took place in a concerted reaction. In addition, the side chain of Phenylalanine33 may help to shield the glycosidic bond from water and be in a position to protect the developing oxacabenium transition state from hydrolysis. Our results of the calculations support this hypothesis that the phenylalanine33 plays a critical role in the sirtuins biology function. 展开更多
关键词 SIRTUIN NAD^+ p53 Model Density functional theory
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Detection of P2P botnet based on network behavior features and Dezert-Smarandache theory 被引量:1
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作者 Song Yuanzhang Chen Yuan +2 位作者 Wang Junjie Wang Anbang Li Hongyu 《Journal of Southeast University(English Edition)》 EI CAS 2018年第2期191-198,共8页
In order to improve the accuracy of detecting the new P2P(peer-to-peer)botnet,a novel P2P botnet detection method based on the network behavior features and Dezert-Smarandache theory is proposed.It focuses on the netw... In order to improve the accuracy of detecting the new P2P(peer-to-peer)botnet,a novel P2P botnet detection method based on the network behavior features and Dezert-Smarandache theory is proposed.It focuses on the network behavior features,which are the essential abnormal features of the P2P botnet and do not change with the network topology,the network protocol or the network attack type launched by the P2P botnet.First,the network behavior features are accurately described by the local singularity and the information entropy theory.Then,two detection results are acquired by using the Kalman filter to detect the anomalies of the above two features.Finally,the above two detection results are fused with the Dezert-Smarandache theory to obtain the final detection results.The experimental results demonstrate that the proposed method can effectively detect the new P2P botnet and that it considerably outperforms other methods at a lower degree of false negative rate and false positive rate,and the false negative rate and the false positive rate can reach 0.09 and 0.12,respectively. 展开更多
关键词 P2P(peer-to-peer)botnet local singularity ENTROPY Kalman filter Dezert-Smarandache theory
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A Tentative Study on Creation Theory of E.H.Gombrich's Art Theory 被引量:1
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作者 Shangxue Gao 《International Journal of Technology Management》 2013年第11期9-10,共2页
There are two popular aesthetic trends in Europe in the 17th and the 18th centuries. The first one is continental rationalism which holds that people' s knowledge comes from inborn rationality. The other one is Briti... There are two popular aesthetic trends in Europe in the 17th and the 18th centuries. The first one is continental rationalism which holds that people' s knowledge comes from inborn rationality. The other one is British empiricism. 展开更多
关键词 Creation theory E.H.Gombrich Art theory
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Dynamic behavior of rectangular crack in three-dimensional orthotropic elastic medium by means of non-local theory 被引量:2
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作者 Haitao LIU Zhengong ZHOU 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2017年第2期173-190,共18页
The dynamic behavior of a rectangular crack in a three-dimensional (3D) orthotropic elastic medium is investigated under a harmonic stress wave based on the non-local theory. The two-dimensional (2D) Fourier trans... The dynamic behavior of a rectangular crack in a three-dimensional (3D) orthotropic elastic medium is investigated under a harmonic stress wave based on the non-local theory. The two-dimensional (2D) Fourier transform is applied, and the mixed- boundary value problems are converted into three pairs of dual integral equations with the unknown variables being the displacement jumps across the crack surfaces. The effects of the geometric shape of the rectangular crack, the circular frequency of the incident waves, and the lattice parameter of the orthotropic elastic medium on the dynamic stress field near the crack edges are analyzed. The present solution exhibits no stress singularity at the rectangular crack edges, and the dynamic stress field near the rectangular crack edges is finite. 展开更多
关键词 orthotropic elastic medium rectangular crack time-harmonic P-wave non-local theory
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Derivation of Martin-Hou Equation of State from Hard-particle Perturbation Theory 被引量:2
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作者 ZHANG Bing-jian (Department of Chemistry, Zhejiang University, Hangzhou 310027, P. R. China) HOU Yu-chun (Department of Chemical Engineering, Zhejiang University, Hangzhou 310027, P. R. China) 《Chemical Research in Chinese Universities》 SCIE CAS CSCD 2000年第1期49-56,共8页
In this paper, the Martin-Hou equation of state is derived by using a power series representation of radial distribution function and an analytic representation of multi-section potential based on the Barker-Henderso... In this paper, the Martin-Hou equation of state is derived by using a power series representation of radial distribution function and an analytic representation of multi-section potential based on the Barker-Henderson hard-particle perturbation theory including high-order terms. In the derivation, a theoretical form of Martin-Hou equation was obtained. It had a similar form and the same capability to predict P-V-T properties as the Martin-Hou equation and no additional data were required for evaluating the constants. The characteristic constants of the theoretical expression have certain relationships with the molecular parameters. 展开更多
关键词 Perturbation theory Martin-Hou equation of state Theoretical expression P-V-T properties Molecular parameter
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The Effect of Reputation to the Moral Hazard in C2C E-Market with Game Theory 被引量:3
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作者 Fangjun Mu 《American Journal of Operations Research》 2015年第5期367-372,共6页
It is well known that the reputation is the basis of a seller to survive and gain trust from customers in a competitive business environment. But as the existence of information asymmetry between buyer and seller, the... It is well known that the reputation is the basis of a seller to survive and gain trust from customers in a competitive business environment. But as the existence of information asymmetry between buyer and seller, the moral hazard problem is the key obstacle that impedes the benefits of related shareholders and reduces the efficiency of total market. It is crucial to design a control mechanism to avoid the negative impact of moral hazard. This paper studies the principal and agent relationship between buyer and seller in C2C e-market;because of the influence of information asymmetry, many customers suffered from being cheated by sellers with defective products in practice. These frequent cases will deteriorate long term relationship between sellers and buyers. Here we focus on the analysis of the causes of moral risks and the effect of reputation on oral risk with repeated game theory. The purpose of this paper is to help both firms and customers effectively avoid morality risk and realize a win-win situation. 展开更多
关键词 C2C E-COMMERCE MORAL HAZARD REPUTATION Model Game theory
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Valence band structure and density of states effective mass model of biaxial tensile strained silicon based on k·p theory
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作者 匡潜玮 刘红侠 +2 位作者 王树龙 秦珊珊 王志林 《Chinese Physics B》 SCIE EI CAS CSCD 2011年第12期335-340,共6页
After constructing a stress and strain model, the valence bands of in-plane biaxial tensile strained Si is calculated by k·p method. In the paper we calculate the accurate anisotropy valance bands and the splitti... After constructing a stress and strain model, the valence bands of in-plane biaxial tensile strained Si is calculated by k·p method. In the paper we calculate the accurate anisotropy valance bands and the splitting energy between light and heavy hole bands. The results show that the valance bands are highly distorted, and the anisotropy is more obvious. To obtain the density of states (DOS) effective mass, which is a very important parameter for device modeling, a DOS effective mass model of biaxial tensile strained Si is constructed based on the valance band calculation. This model can be directly used in the device model of metal-oxide semiconductor field effect transistor (MOSFET). It also a provides valuable reference for biaxial tensile strained silicon MOSFET design. 展开更多
关键词 biaxial tensile strained Si k · p theory valance band density of state effective mass
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On a Fractal Version of Witten’s M-Theory 被引量:12
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作者 Mohamed S. El Naschie 《International Journal of Astronomy and Astrophysics》 2016年第2期135-144,共10页
Starting from Witten’s eleven dimensional M-theory, the present work develops in an analogous way a corresponding dimensional fractal version where . Subsequently, the new fractal formalism is utilized to determine t... Starting from Witten’s eleven dimensional M-theory, the present work develops in an analogous way a corresponding dimensional fractal version where . Subsequently, the new fractal formalism is utilized to determine the measured ordinary energy density of the cosmos which turns out to be intimately linked to the new theory’s fractal dimension via non-integer irrational Lorentzian-like factor: where is Hardy’s probability of quantum entanglement. Consequently, the energy density is found from a limiting classical kinetic energy to be Here, is ‘tHooft’s renormalon of dimensional regularization. The immediate logical, mathematical and physical implication of this result is that the dark energy density of the cosmos must be in astounding agreement with cosmic measurements and observations. 展开更多
关键词 M-theory E-Infinity theory Hardy’s Quantum Entanglement Transfinite Turing Computer Dark Energy Accelerated Cosmic Expansion Noncommutative Geometry Superstring theory Scale Relativity Cantorian-Fractal Spacetime Witten’s theory ‘tHooft Renormalon Pure Gravity Penrose Tiling
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Analysis of Network Traffic with Extreme Value Theory
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作者 舒炎泰 汪广洪 +2 位作者 高德云 刘嘉焜 王旭 《Transactions of Tianjin University》 EI CAS 2003年第2期131-135,共5页
It is very im portant to analyze network traffic in the network control and management. In thi s paper, extreme value theory is first introduced and a model with threshold met hods is proposed to analyze the character... It is very im portant to analyze network traffic in the network control and management. In thi s paper, extreme value theory is first introduced and a model with threshold met hods is proposed to analyze the characteristics of network traffic. In this mode l, only some traffic data that is greater than threshold value is considered. Th en the proposed model with the trace is simulated by using S Plus software. The modeling results show the network traffic model constructed from the extreme va lue theory fits well with that of empirical distribution. Finally, the extreme v alue model with the FARIMA(p,d,q) modeling is compared. The anal ytical results illustrate that extreme value theory has a good application foreg round in the statistic analysis of network traffic. In addition, since only some traffic data which is greater than the threshold is processed, the computation overhead is reduced greatly. 展开更多
关键词 extreme value theory generalized Pare to distribution threshold value FARIMA(p d q) model
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Theory of pleiotropic action of biologically active compounds and medicines—Basic principles and practical application
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作者 N. A. Bizunok 《Open Journal of Clinical Diagnostics》 2013年第3期94-104,共11页
This article represents the main positions of the theory of pleiotropic action of biologically active compounds (BACs) and medicines, which has been designed by the author based on her own experimental researches. The... This article represents the main positions of the theory of pleiotropic action of biologically active compounds (BACs) and medicines, which has been designed by the author based on her own experimental researches. The term “pleiotropy” means the ability of the BACs and medicines to implement more than one mechanism of action resulting in the specific biological (pharmacological) effect. The interaction of these mechanisms forms a distinct pattern of biological response (pleiotropic pattern), which reflects the change in his character with the increased dose (concentration)-dependent efficacy of BACs and medicines. The article consists of description of different pleiotropic patterns established in experiments on the model of reactive oxygen species (ROS) generation by macrophages dependent on activity of specialized enzyme called Nox2-NAD(P)H oxidase (Nox2, EC 1.6.3.1). Moreover, it consists of explanation of pharmacodynamic nature of pleiotropic patterns by means of application Chou-Talalay median effect equalization and combination index (CI) theory. The novel theory explains unsolved until now universal aspects of activity BACs and medicines, such as slope angles of “dose-effect” dependences in the conditions relevant in vivo, and it is of fundamental interest. However, it has applications in experimental pharmacology, as it allows defining the choice of the individual compounds and combinations, modulating the trust effect selectively and efficiently. This knowledge opens up new approaches to medicines discovery and evaluation, their rational dosing and combining. 展开更多
关键词 Reactive Oxygen Species (ROS) Nox2-NAD(P)H Oxidase (Nox2) Slope Angles of DOSE-EFFECT DEPENDENCES PLEIOTROPY PLEIOTROPIC Patterns Polytropism Pharmacological Affect Nature MEDICINES Combinations Novel theory of Biologically Active Compounds (BACs) and MEDICINES Action
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Research and Practice of the P.E. Information Teaching Design System
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作者 Xi Jianping 《International English Education Research》 2014年第2期93-96,共4页
In this paper, the physical education information teaching design system is researched and developed based on VB6.0 optimization platform. According to the national physical education and health course standards and t... In this paper, the physical education information teaching design system is researched and developed based on VB6.0 optimization platform. According to the national physical education and health course standards and the fundamental theories of the constructivisrn, the author adopts the modular-design development method to design two functional areas which are the displaying of the teaching design contents and the online information database (nine modules in total) on the basis of the P.E. teaching design flow. Importantly, this system features the compatibility, scalability and practical applicability, and can effectively improve the ability of P.E. teachers to design their teaching, and hence provides a guarantee for the improvement of teaching quality and efficiency. 展开更多
关键词 Information Teaching Design SYSTEM p.e. Constmctivism
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Analysis on the Optimization of the P.E. Course Teaching Plan in Colleges and Universities
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作者 Dongsheng WANG Zhijun WANG Jian ZUO 《International Journal of Technology Management》 2013年第5期111-113,共3页
In the new period, the physical education in colleges and universities is of greater and greater significance for the enhancement of students' learning efficiency. In this paper, the current situation of the current ... In the new period, the physical education in colleges and universities is of greater and greater significance for the enhancement of students' learning efficiency. In this paper, the current situation of the current physical education is analyzed, and also related suggestions on the optimization of the P.E. course teaching plan are proposed. 展开更多
关键词 Colleges and Universities p.e. Courses Teaching Plan Suggestions on the Optimization
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A Study of the p-Adic Frobenius Lifts and p-Adic Periods, from a Deformation Theory Viewpoint
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作者 Lucian M. Ionescu 《Advances in Pure Mathematics》 2018年第4期408-418,共11页
A canonical p-adic Frobenius lift is defined in the context of p-adic numbers, viewed as deformations of the corresponding finite field. Applications to p-adic periods are considered, including to the classical Euler ... A canonical p-adic Frobenius lift is defined in the context of p-adic numbers, viewed as deformations of the corresponding finite field. Applications to p-adic periods are considered, including to the classical Euler gamma and beta functions and their p-adic analogues, from a cohomological point of view. Connections between various methods for computing scattering amplitudes are related to the moduli space problem and period domains. 展开更多
关键词 P-ADIC Numbers FROBENIUS Lift PERIODS FEYNMAN INTEGRALS Deformation theory
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