数学题设计原则及实例分析
作者：
伍朝华;周铁军
期刊：
教育教学论坛 ,2020年(7):310-311 ISSN：1674-9324
作者机构：
[周铁军] 湖南农业大学信息与智能科学技术学院,湖南 长沙 410128;[周铁军] 湖南农业大学东方科技学院,湖南 长沙 410128;[伍朝华] 湖南农业大学
关键词：
题目设计;设计原则;高等数学
摘要：
数学题目质量的优劣关系学生应用数学知识思考和解决问题的能力。文章对数学题设计中的五原则即存在性、目的性、难度适中性、唯正确性和严谨性等进行总结,并辅以教学案例阐述。掌握设计五原则有助于进一步提升教学质量。
语种：
中文
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Hopf bifurcation controlling for a fractional order delayed paddy ecosystem in the fallow season
作者：
Zheng, Kun;Zhou, Xiaoli;Wu, Zhaohua;Wang, Zhiming;Zhou, Tiejun*
期刊：
Advances in Difference Equations ,2019年2019(1):1-14 ISSN：1687-1839
通讯作者：
Zhou, Tiejun
作者机构：
[Zheng, Kun; Zhou, Xiaoli; Wu, Zhaohua; Wang, Zhiming; Zhou, Tiejun] Hunan Agr Univ, Coll Informat Sci & Technol, Changsha, Hunan, Peoples R China.;[Zhou, Tiejun] Hunan Agr Univ, Coll Orient Sci & Technol, Changsha, Hunan, Peoples R China.
通讯机构：
[Zhou, Tiejun] H;Hunan Agr Univ, Coll Informat Sci & Technol, Changsha, Hunan, Peoples R China.;Hunan Agr Univ, Coll Orient Sci & Technol, Changsha, Hunan, Peoples R China.
关键词：
Bifurcation control;Hopf bifurcation;Paddy ecosystem;Fractional order;Delay;Stability
摘要：
Since bifurcation makes it difficult to manage a paddy ecosystem, controlling bifurcation is an important management tool. In this paper, the stability and bifurcation control for a fractional order paddy ecosystem in the fallow season with time delay are investigated. Firstly, a paddy ecosystem model formulated by two-dimensional delayed fractional order differential equations with linear delayed feedback controller is proposed to reveal the interaction between weeds and inorganic fertilizers in paddy systems. Using the time delay as the bifurcation parameter, the sufficient conditions for stability of the system and the existence of Hopf bifurcation are obtained by analyzing the relevant characteristic equations. The results show that the time delay can heavily affect the dynamics of the system, and the feedback gain and the fractional order have significant impact on the control effect. Finally, the verification of the accuracy and validity of these conclusions is made by two examples, the control effect of the feedback gain and the fractional order on Hopf bifurcation are illustrated intuitively by a contour map.
语种：
英文
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数字字符识别技术及应用
作者：
蔡玉婷;王外忠;杜孟杰;杨鑫;周铁军
期刊：
电子技术与软件工程 ,2019年(21):66-68 ISSN：2095-5650
作者机构：
[王外忠; 周铁军; 杨鑫; 蔡玉婷; 杜孟杰] 湖南农业大学东方科技学院
关键词：
数字字符;分割;识别;深度学习
摘要：
本文总结了常用的图像分割方法,特别是针对手写数字字符特点而提出的相关方法。介绍了数字字符特征提取及特征融合技术,分析了数字字符识别中多种分类器的特点,比较了它们在手写数字识别和车牌识别中的准确性。
语种：
中文
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班级学风实时评价指标体系及学风指数研究
作者：
杨琳;任菁;周铁军
期刊：
中国教育信息化 ,2019年(11):33-37 ISSN：1673-8454
作者机构：
湖南农业大学东方科技学院,湖南长沙,410128;湖南农业大学信息科学与技术学院,湖南长沙,410128;[任菁; 杨琳] 湖南农业大学东方科技学院;[周铁军] 湖南农业大学
关键词：
学风评价;指标体系;学风分值;学风指数;班级
摘要：
本文以班级为评价对象,以实时评价为要求,建立了不同年级的班级学风评价指标体系,该体系分成两层.文章利用层次分析方法确定了各级指标权重,并用加权平均方法给出了描述班级学风状态的学风分值计算公式,还定义了反映班级学风变化趋势的学风指数.最后根据班级学风分值及指数定义了校级学风分值和指数.
语种：
中文
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大学生“互联网+”创新创业项目中的商业逻辑分析
作者：
陈智勇;杨琳;周铁军;刘湘辉;胡忠红
期刊：
中国商论 ,2019年(10):221-223 ISSN：2096-0298
作者机构：
湖南农业大学生物科学技术学院;[刘湘辉; 周铁军; 胡忠红; 杨琳] 湖南农业大学东方科技学院;[陈智勇] 湖南农业大学
关键词：
“互联网+”;创新创业;商业逻辑
摘要：
在大学生“互联网+”创新创业热潮的背景下,商业模式不断迭代创新,大学生创新创业项目通常存在五大商业逻辑问题,这也是项目计划书撰写中的难点问题。本文通过对“互联网+”创新创业具体项目进行商业逻辑案例分析,项目商业逻辑的设计可以分四步进行,为理顺商业逻辑提供了新的方法和手段,对高校创业教育教学和大学生“互联网+”创新创业项目指导与实施具有现实意义。
语种：
中文
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Analysis of the interaction among rice, weeds, inorganic fertilizer, and a herbivore in a composite farming paddy ecosystem
作者：
Wu, Zhaohua;Wang, Yi;Zhou, Xiaoli;Zhou, Tiejun*
期刊：
Mathematical Biosciences ,2018年300:145-156 ISSN：0025-5564
通讯作者：
Zhou, Tiejun
作者机构：
[Wang, Yi; Zhou, Xiaoli; Wu, Zhaohua; Zhou, Tiejun] Hunan Agr Univ, Coll Sci, Changsha 410128, Hunan, Peoples R China.;[Zhou, Tiejun] Hunan Agr Univ, Coll Orient Sci & Technol, Changsha 410128, Hunan, Peoples R China.
通讯机构：
[Zhou, Tiejun] H;Hunan Agr Univ, Coll Sci, Changsha 410128, Hunan, Peoples R China.;Hunan Agr Univ, Coll Orient Sci & Technol, Changsha 410128, Hunan, Peoples R China.
关键词：
Convergence of numerical methods;Differential equations;Ecosystems;Fertilizers;Phase equilibria;Artificial fertilizers;Bifurcation parameter;Bifurcation phenomena;Differential equation model;Inorganic fertilizers;Maximum yield of rice;Paddy ecosystems;Stability of equilibrium;Hopf bifurcation;fertilizer;agricultural ecosystem;bifurcation;crop production;extinction;farming system;fertilizer;herbivore;mortality;paddy field;rice;weed;Article;controlled study;crop production;farming system;herbivore;mathematical model;organismal interaction;plant yield;rice;species coexistence;species extinction;weed;animal;biological model;crop production;ecosystem;herbivory;Oryza;Animals;Crop Production;Ecosystem;Fertilizers;Herbivory;Models, Biological;Oryza;Plant Weeds
摘要：
As one of the Globally Important Agricultural Heritage Systems (GIAHS), rice field composite farming is an ecological measure in rice production, which can reduce the amount of chemical fertilizers, pesticides and herbicides. This research studies the interaction among rice, weed, inorganic fertilizer and herbivore in a composite farming paddy ecosystem. We develop a differential equation model to analyze the relations and interactions among those components. Results show the existence of an equilibrium for paddy and weed extinction, one or two equilibria for rice extinction, an equilibrium for weed extinction, and an equilibrium for rice and weed coexistence. Based on the obtained stability conditions of these equilibria, measures are proposed to avoid the existence or the stability of equilibria for rice extinction. Other measures are proposed to lead to a stable equilibrium for weed extinction, which is the most desirable result in rice production. Conditions for maximizing the yield of rice are also obtained by taking the relative mortality of rice as variable. In addition, we discover the existence of Hopf bifurcation phenomenon in the system, and develop the critical value of Hopf bifurcation by taking the artificial fertilizer rate as the bifurcation parameter. Our findings provide effective guidance and insights for rice production in a composite farming paddy ecosystem. © 2018 Elsevier Inc.
语种：
英文
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Stability and Hopf bifurcation analysis in a fractional-order delayed paddy ecosystem
作者：
Zhou, Xiaoli;Wu, Zhaohua;Wang, Zhiming;Zhou, Tiejun*
期刊：
Advances in Difference Equations ,2018年2018(1):1-14 ISSN：1687-1839
通讯作者：
Zhou, Tiejun
作者机构：
[Zhou, Xiaoli; Wu, Zhaohua; Wang, Zhiming; Zhou, Tiejun] Hunan Agr Univ, Coll Sci, Changsha, Hunan, Peoples R China.;[Zhou, Tiejun] Hunan Agr Univ, Coll Orient Sci & Technol, Changsha, Hunan, Peoples R China.
通讯机构：
[Zhou, Tiejun] H;Hunan Agr Univ, Coll Sci, Changsha, Hunan, Peoples R China.;Hunan Agr Univ, Coll Orient Sci & Technol, Changsha, Hunan, Peoples R China.
关键词：
Paddy ecosystem;Fractional order;Delay;Stability;Hopf bifurcation
摘要：
By introducing a delayed fractional-order differential equation model, we deal with the dynamics of the stability and Hopf bifurcation of a paddy ecosystem with three main components: rice, weeds, and inorganic fertilizer. In the system, there exists an equilibrium for rice and weeds extinction and an equilibrium for rice extinction or weeds extinction. We obtain sufficient conditions for the stability and Hopf bifurcation by analyzing their characteristic equation. Some numerical simulations validate our theoretical results.
语种：
英文
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一类函数方程的周期性#@#@#Periodicity of a Class of Functional Equations
作者：
周小利* ;周铁军
期刊：
理论数学 ,2017年07(3):137-140 ISSN：2160-7583
通讯作者：
周小利
作者机构：
湖南农业大学理学院，湖南 长沙;湖南农业大学理学院，湖南 长沙 湖南农业大学东方科技学院，湖南 长沙
关键词：
函数方程;周期Functional Equation
摘要：
Abstract: The sufficient conditions are obtained that the f(x) is a periodic function with period 2T, 3T or 4T for the functional equation f(x+T)f(x) =af(x+T)+bf(x)+c. The results generalize the existing conclusions.#@#@#摘要: 本文针对函数方程f(x+T)f(x) =af(x+T)+bf(x)+c分别获得f(x)是周期为2T、3T、4T函数的充分条件，推广了已有结论。
语种：
中文
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一类函数方程周期解周期的确定
作者：
宋泽熙;周铁军
期刊：
大学数学 ,2016年32(6):87-90 ISSN：1672-1454
作者机构：
[周铁军; 宋泽熙] 湖南农业大学东方科技学院
关键词：
函数方程;周期解;周期
摘要：
研究了函数方程af(x+T1+T2)+bf (x)=af (x+T1)+bf(x+T2)在两种情形下解的周期,获得的结果推广了已有结论.
语种：
中文
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高等数学应用能力的培养途径
作者：
周铁军;王敏;李小春
期刊：
大学教育 ,2015年(9):115-116 ISSN：2095-3437
作者机构：
[李小春; 周铁军; 王敏] 湖南农业大学东方科技学院
关键词：
应用能力;高等数学;培养途径
摘要：
数学在学生逻辑思维能力、定量分析问题能力等方面的培养毋庸置疑具有不可替代的重要作用。培养高等数学应用能力的途径主要包括数学概念的引入、多方面实例的搜集、学生课外活动的利用、数学建模竞赛影响力的扩大及教师自身科研的挖掘五个方面。教师应该积极开展应用数学方面的研究,使自己具有较强的数学应用能力,平时多积累数学应用案例,这样无论在课堂讲授中,还是在其他教学活动中,都能使用最恰当的问题,做到得心应手,这样培养学生应用数学的能力就不会是纸上谈兵。
语种：
中文
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基于社会主义核心价值观的教育科研环境现状的思考
作者：
周铁军;杨琳;胡忠红
期刊：
吉林省教育学院学报 ,2015年31(7):103-105 ISSN：1671-1580
作者机构：
[周铁军; 胡忠红; 杨琳] 湖南农业大学东方科技学院
关键词：
社会主义核心价值观;教育科研环境;法制
摘要：
本文基于十八大倡导的社会主义核心价值观讨论当前我国教育、科研界存在的三种乱象,即受教育机会不均衡,科研要靠关系,科研成果存在空、浮、假、窃现象,并分析成因与后果。最后提出了以社会主义核心价值观为指导改善教育、科研环境的四条建议。
语种：
中文
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大学生多维创新教育模式探析
作者：
陈智勇;周铁军;胡忠红
期刊：
教育教学论坛 ,2015年(39):60-61 ISSN：1674-9324
作者机构：
湖南农业大学生物科学技术学院;[周铁军; 胡忠红] 湖南农业大学东方科技学院;[陈智勇] 湖南农业大学
关键词：
大学生;多维创新教育;教育模式
摘要：
创新是中国发展的核心驱动力，高校担负着培养创新人才的历史使命，必然需要对现有的人才培养模式进行剖析，探究大学生创新教育模式。在大学生追求个性发展的新形势下，充分利用高校的多种创新教育资源和平台，开展多维创新教育的模式是一个的研究课题。
语种：
中文
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Existence of positive periodic solution of a hepatitis B virus infection model
作者：
Fang, Haiquan;Wang, Min;Zhou, Tiejun*
期刊：
Mathematical Methods in the Applied Sciences ,2015年38(1):188-196 ISSN：0170-4214
通讯作者：
Zhou, Tiejun
作者机构：
[Fang, Haiquan; Zhou, Tiejun] Hunan Agr Univ, Coll Sci, Changsha 410128, Hunan, Peoples R China.;[Wang, Min] Hunan Agr Univ, Coll Orient Sci & Technol, Changsha 410128, Hunan, Peoples R China.
通讯机构：
[Zhou, Tiejun] H;Hunan Agr Univ, Coll Sci, Changsha 410128, Hunan, Peoples R China.
关键词：
Viruses;Biological rhythm;Coincidence degree theory;Existence of positive periodic solutions;Hepatitis B virus infection;Periodic models;Periodic solution;Periodic variation;Positive periodic solution;Problem solving
摘要：
In this paper, a periodic model for hepatitis B virus infection is proposed. The model describes the breeding of the infected cells and the periodic variation of the environment.On the basis of the continuation theoremof coincidence degree theory, a condition for the existence of a positive periodic solution to the model is established. The result can be used to explain thewave phenomenon on the density of the pathogens in patients blood and the occurrence of superinfection in hepatitis B virus infections. Copyright © 2014 JohnWiley & Sons, Ltd.
语种：
英文
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Almost periodic solution for multidirectional associative memory neural network with distributed delays
作者：
Zhou, Tiejun* ;Wang, Min;Li, Chen
期刊：
Mathematics and Computers in Simulation ,2015年107:52-60 ISSN：0378-4754
通讯作者：
Zhou, Tiejun
作者机构：
[Zhou, Tiejun] Hunan Agr Univ, Coll Sci, Changsha 410128, Hunan, Peoples R China.;[Li, Chen; Wang, Min] Hunan Agr Univ, Coll Orient Sci & Technol, Changsha 410128, Hunan, Peoples R China.
通讯机构：
[Zhou, Tiejun] H;Hunan Agr Univ, Coll Sci, Changsha 410128, Hunan, Peoples R China.
关键词：
Associative storage;Mathematical models;Matrix algebra;Neural networks;Time varying networks;Almost periodic solutions;Associative memory neural networks;Exponential dichotomy;Global exponential stability;Spectral radii;Associative processing
摘要：
This paper proposes a mathematical model of multidirectional associative memory (MAM) neural network with almost periodic coefficients and continuously distributed delays. By using exponential dichotomy and spectral radius, a sufficient condition for the existence and the global exponential stability of an almost periodic solution is obtained. Two examples are given to illustrate the effectiveness of our results. © 2014 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.
语种：
英文
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Multifractal detrended fluctuation analysis for clustering structures of electricity price periods
作者：
Wang, Fang* ;Liao, Gui-ping;Li, Jian-hui;Li, Xiao-chun;Zhou, Tie-jun
期刊：
Physica A-Statistical Mechanics and its Applications ,2013年392(22):5723-5734 ISSN：0378-4371
通讯作者：
Wang, Fang
作者机构：
[Zhou, Tie-jun; Wang, Fang] Hunan Agr Univ, Coll Sci, Changsha 410128, Hunan, Peoples R China.;[Liao, Gui-ping; Wang, Fang; Li, Jian-hui] Hunan Agr Univ, Agr Informat Inst, Changsha 410128, Hunan, Peoples R China.;[Li, Xiao-chun] Hunan Agr Univ, Orient Sci & Technol Coll, Changsha 410128, Hunan, Peoples R China.
通讯机构：
[Wang, Fang] H;Hunan Agr Univ, Coll Sci, Changsha 410128, Hunan, Peoples R China.
关键词：
Clustering;Fisher's linear discriminant algorithm;Multifractal detrended fluctuation analysis;Sub-periods electricity price
摘要：
A new model is proposed to investigate the structure of electricity price in different time periods. A popular method - the multifractal detrended fluctuation analysis (MF-DFA) method is employed to analyze the features achieved from three types of electricity price data after filtering some trends by Fourier detrended fluctuation function. Twelve multifractal parameters are calculated and selected as the characteristic indicators for comparison. Moreover, the minimum number of indicators is determined so that the discriminant accuracy reaches maximum based on Fisher's linear discriminant algorithm (Fisher's LDA) for each time period. These indicators form a multi-dimensional space, in which each point represents a price time series. This allows us to cluster the three price time periods, namely, the low price time periods, the average price time periods and the peak price time periods. Fisher's LDA is employed to evaluate the discriminant accuracy on these three kinds of time periods. Our analysis is then applied to the data in California1999-2000 and PJM2001-2002 electricity markets to demonstrate the applicability of our methods. ©2013 Elsevier B.V. All rights reserved.
语种：
英文
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Multistability in a Multidirectional Associative Memory Neural Network with Delays
作者：
Wang, Min;Zhou, Tiejun*
期刊：
Journal of Applied Mathematics ,2013年2013:1-10 ISSN：1110-757X
通讯作者：
Zhou, Tiejun
作者机构：
[Wang, Min] Hunan Agr Univ, Coll Orient Sci & Technol, Changsha 410128, Hunan, Peoples R China.;[Zhou, Tiejun] Hunan Agr Univ, Coll Sci, Changsha 410128, Hunan, Peoples R China.
通讯机构：
[Zhou, Tiejun] H;Hunan Agr Univ, Coll Sci, Changsha 410128, Hunan, Peoples R China.
关键词：
This paper focuses on the multidirectional associative memory (MAM) neural networks with m fields which is more advanced to realize associative memory. Based on the Brouwer fixed point theorem and Dini upper right derivative;it is confirmed that the multidirectional associative memory neural network can have 3l equilibria and 2l equilibria of them are stable;where l is a parameter associated with the number of neurons. Furthermore;an example is given to illustrate the effectiveness of the results. Published: 2013 First available in Project Euclid: 14 March 2014 zbMATH: 06950768 MathSciNet: MR3138931 Digital Object Identifier: 10.1155/2013/592056
摘要：
This paper focuses on the multidirectional associative memory (MAM) neural networks with m fields which is more advanced to realize associative memory. Based on the Brouwer fixed point theorem and Dini upper right derivative, it is confirmed that the multidirectional associative memory neural network can have 3 l equilibria and 2 l equilibria of them are stable, where l is a parameter associated with the number of neurons. Furthermore, an example is given to illustrate the effectiveness of the results. © 2013 Min Wang and Tiejun Zhou.
语种：
英文
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Existence and exponential stability of multiple periodic solutions for a multidirectional associative memory neural network
作者：
Zhou, Tiejun* ;Wang, Min;Long, Min
期刊：
Neural Processing Letters ,2012年35(2):187-202 ISSN：1370-4621
通讯作者：
Zhou, Tiejun
作者机构：
[Long, Min; Zhou, Tiejun] Hunan Agr Univ, Coll Sci, Changsha 410128, Hunan, Peoples R China.;[Wang, Min; Zhou, Tiejun] Hunan Agr Univ, Coll Orient Sci & Technol, Changsha 410128, Hunan, Peoples R China.
通讯机构：
[Zhou, Tiejun] H;Hunan Agr Univ, Coll Sci, Changsha 410128, Hunan, Peoples R China.
关键词：
Activation functions;Associative memories;Associative memory neural networks;Distributed delays;Estimating method;Exponential convergence rate;Invariant set;Liapunov function;Multi-directional;Multiple periodic solutions;Periodic solution;Poincare;Associative processing;Associative storage;Asymptotic stability;Lyapunov functions;Mathematical models;Problem solving;Neural networks
摘要：
The paper proposes several mathematical models of the multidirectional associative memory (MAM) neural network by analyzing its structure. A model of MAM with distributed delays is studied. Under some new assumptions on activation functions, 2 n0[m/2] invariant subsets of MAM are constructed. Then the existence and the exponential stability of 2 n0[m/2] periodic solutions located on invariant subsets are obtained by constructing a suitable Liapunov function and a Poincaré mapping. An estimating method of the exponential convergence rate is given. The obtained results are new to MAM neural networks. An example is given to illustrate the effectiveness of the results. © Springer Science+Business Media, LLC. 2011.
语种：
英文
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学习型教学基层组织建设的探讨
作者：
周铁军;王敏;李晨;李小春
期刊：
江西教育 ,2011年(31):24-25 ISSN：1006-270X
作者机构：
湖南农业大学东方科技学院数学教研室;[李小春; 周铁军; 李晨; 王敏] 湖南农业大学东方科技学院
关键词：
基层组织建设;教学过程;学习型;教学基层组织;师资队伍建设;责任和义务;基层单位;学习质量
摘要：
教学基层组织是指直接实施课程教学过程的最基层单位，一般是教研室、实验室等，它的建设不但关平学校和组织本身的发展，也直接接关乎教学质量和学生学习质量的提高。教学基层组织是一个应具有浓厚学习氛围的集体，它有责任和义务在师资队伍建设、教学研究与改革、教学方法探索等方面加强自身的建设。
语种：
中文
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Global exponential stability of MAM neural network with time delays
作者：
Zhou, Tiejun;Wang, Ming;Fang, Haiquan;Li, Xiaoqun
期刊：
Proceedings 2010 IEEE 5th International Conference on Bio-Inspired Computing: Theories and Applications, BIC-TA 2010 ,2010年:6-10
通讯作者：
Zhou, T.(tj_zhou@hunau.net)
作者机构：
[Zhou, Tiejun; Fang, Haiquan; Wang, Ming] College of Science, Hunan Agricultural University, Changsha, Hunan 410128, China;[Zhou, Tiejun; Li, Xiaoqun] College of Orient Science and Technology, Hunan Agricultural University, Changsha, Hunan 410128, China
会议名称：
2010 IEEE Fifth International Conference on Bio-Inspired Computing: Theories and Applications (BIC-TA)
会议时间：
September 2010
会议地点：
Changsha
会议论文集名称：
2010 IEEE Fifth International Conference on Bio-Inspired Computing: Theories and Applications (BIC-TA)
关键词：
multidirectional associative memory;global exponential stability;equilibrium
摘要：
By extending the bidirectional associative memory neural network model, a mathematical model of multidirectional associative memory (MAM) neural networks with constant time delays is proposed. By using Brouwer fixed point theorem and the upper right Dini derivative, a sufficient condition for the existence and the global exponential stability of an equilibrium point is obtained. And for a special MAM neural network which connection weights is positive, a sufficient and necessary condition for the existence and the global exponential stability of an equilibrium point is obtained. The results are new for MAM neural networks. An example and its numerical simulation are given to illustrate the effectiveness of the obtained results.
语种：
英文
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Identification of coding and non-coding sequences in a complete genome using local holder exponent formalism and multi-affinity analysis
作者：
Li, Xiaochun;Zhou, Tiejun;Tang, Xiaoyong;Cai, Xiangwen
期刊：
Proceedings 2010 IEEE 5th International Conference on Bio-Inspired Computing: Theories and Applications, BIC-TA 2010 ,2010年:775-782
通讯作者：
Li, X.(lixiaochun_116@163.com)
作者机构：
[Zhou, Tiejun; Tang, Xiaoyong; Li, Xiaochun] Orient Science and Technology College, Hunan Agricultural University, Changsha 410128, China;[Cai, Xiangwen] Hunan Urban Professional College, Changsha 410137, China
会议名称：
2010 IEEE Fifth International Conference on Bio-Inspired Computing: Theories and Applications (BIC-TA)
会议时间：
September 2010
会议地点：
Changsha
会议论文集名称：
2010 IEEE Fifth International Conference on Bio-Inspired Computing: Theories and Applications (BIC-TA)
关键词：
coding/noncoding sequences;multiaffinity analysis;Hölder exponent
摘要：
Accurate prediction of genes in genomes has always been a challenging task for bioinformaticians and computational biologists. Therefore, the discovery of relations in coding and non-coding sequences has led to new perspectives in the understanding of the DNA sequences. This has motivated us to find new methods to distinguish coding and non-coding sequences. We first introduce a number sequence representation of DNA sequences. Multi-affinity analysis and local Hölder exponent are then performed on the representation of the obtained number sequence. Three suited exponents are selected to form a parameter space. The two exponents γ(-2), γ(6) are from Multi-affinity analysis, the exponent h is from local Hölder exponent. Thus, each coding or non-coding sequence may be represented by a point in the three-dimensional parameter space. We can see the points corresponding to coding and non-coding sequences in the complete genome of many prokaryotes be divided to different regions roughly. If the point (γ(-2), γ(6), h) for a DNA sequence is situated in the region corresponding to coding sequences, the sequence is discriminated as a coding sequence; otherwise, the sequence is classified as a non-coding one. Therefore these exponents can be used to distinguish coding and non-coding sequences. The Fisher's discriminant algorithm is used to give the discriminant accuracies. The average discriminant accuracies p<sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">c</sub>, p<sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">nc</sub>, q<sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">c</sub> and q<sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">nc</sub> of all 51 prokaryotes obtained by the present method reach 69.08%, 83.34%, 72.08% and 83.54%, respectively.
语种：
英文
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