基于混沌理论的蛋白质序列特性的研究

Research on the characteristics of protein sequences based on chaos theory

蛋白质序列特性的研究对于蛋白质的结构及功能具有重要意义。该文为了研究蛋白质序列是否具有混沌行为,先将蛋白质序列通过氨基酸电子离子相互作用势(electron interaction potential,EIIP)转化为时间序列,再根据混沌理论对其进行相空间重构,利用去偏自相关系数,经典G-P算法确定系统的时间延迟t和嵌入维数m,系统的最大Lyapunov指数则用改进的最大Lyapunov指数计算方法计算,其结果绝大多数为正,从而确认了蛋白质时间序列的混沌行为,并对特例进行了说明。

Researching on the characteristics of protein sequences is very important for protein structure and func- tion. In this paper, we want to find out whether the protein sequences have chaotic behavior. Firstly, protein se- quence is transformed into a numerical time series by the electron interaction potential （EIIP） of amino acids, then we reconstructed pahse space for the series based on chaos theory. The related parameters of the system ： delay time t and embedding dimension m are obtained by means of autocorrelation coeddicient, classical G - P algorithm. The largest Lyapunov exponent is calculated by improved maximal Lyapunov exponent method, most of them are posi- tive, it is affirmed that the chaotic behavior do exit in the protein time series. At last we also give explain for the exception.