浙江大学学报(农业与生命科学版)
浙江大學學報(農業與生命科學版)
절강대학학보(농업여생명과학판)
JOURNAL OF ZHEJIANG UNIVERSITY(AGRICULTURE & LIFE SCIENCES)
2010年
1期
43-48
,共6页
张银霞%曹钻%袁志发%陶士珩
張銀霞%曹鑽%袁誌髮%陶士珩
장은하%조찬%원지발%도사형
Shannon信息熵%单参数模型%双参数模型%生物多样性
Shannon信息熵%單參數模型%雙參數模型%生物多樣性
Shannon신식적%단삼수모형%쌍삼수모형%생물다양성
Shannon entropy%one-parameter model%two-parameter model%biodiversity
为了在分子水平上探讨2相邻位点碱基突变的熵性质,在双参数模型下建立有限长DNA 序列2相邻位点碱基突变的微分方程模型,得出了16种碱基组成的概率随世代变化的函数关系式,证明2相邻位点碱基突变具有保熵性,生物是朝着熵增方向即多样性增加的方向进化的;阐明了在单参数模型下相邻位点碱基突变的熵性质亦是如此;该结论也适用于3个相邻位点以及更多相邻位点碱基突变的情况.并利用Matlab软件进行2相邻位点碱基突变的计算机模拟,直观地验证了所得的理论结果.
為瞭在分子水平上探討2相鄰位點堿基突變的熵性質,在雙參數模型下建立有限長DNA 序列2相鄰位點堿基突變的微分方程模型,得齣瞭16種堿基組成的概率隨世代變化的函數關繫式,證明2相鄰位點堿基突變具有保熵性,生物是朝著熵增方嚮即多樣性增加的方嚮進化的;闡明瞭在單參數模型下相鄰位點堿基突變的熵性質亦是如此;該結論也適用于3箇相鄰位點以及更多相鄰位點堿基突變的情況.併利用Matlab軟件進行2相鄰位點堿基突變的計算機模擬,直觀地驗證瞭所得的理論結果.
위료재분자수평상탐토2상린위점감기돌변적적성질,재쌍삼수모형하건립유한장DNA 서렬2상린위점감기돌변적미분방정모형,득출료16충감기조성적개솔수세대변화적함수관계식,증명2상린위점감기돌변구유보적성,생물시조착적증방향즉다양성증가적방향진화적;천명료재단삼수모형하상린위점감기돌변적적성질역시여차;해결론야괄용우3개상린위점이급경다상린위점감기돌변적정황.병이용Matlab연건진행2상린위점감기돌변적계산궤모의,직관지험증료소득적이론결과.
For discussing the entropy characters of two neighboring sites mutation at the molecular level, a set of differential equations were founded about two neighboring sites mutations of a DNA sequences with limited length, based on the two-parameter model, and the function was got which could describe the processes of variation in quantity of 16 kinds of base combinations in the DNA sequence. The conclusions were proved that neighboring sites mutations maintained their entropy and species evolve in the direction of entropy and biodiversity increasing, which was fit to the characteristic of mutations under the one-parameter model. Furthermore, these conclusions could be extended to the situation of three and more neighboring sites mutation. To prove the theoretical results, a series of computer simulations of two neighboring sites mutation were done in MATLAB programming environment.