Multifractal characterization of complete genomes

نویسندگان

  • Vo Anh
  • Zu-Guo Yu
چکیده

This paper develops a theory for characterization of DNA sequences based on their measure representation. The measures are shown to be random cascades generated by an infinitely divisible distribution. This probability distribution is uniquely determined by the exponent function in the multifractal theory of random cascades. Curve fitting to a large number of complete genomes of bacteria indicates that the gamma density function provides an excellent fit to the exponent function, and hence to the probability distribution of the complete genomes. PACS numbers: 05.45.Df, 05.10.Gg, 87.14.Gg

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Multifractal characterisation of complete genomes

This paper develops a theory for characterisation of DNA sequences based on their measure representation. The measures are shown to be random cascades generated by an infinitely divisible distribution. This probability distribution is uniquely determined by the exponent function in the multifractal theory of random cascades. Curve fitting to a large number of complete genomes of bacteria indica...

متن کامل

Multifractal and correlation analyses of protein sequences from complete genomes.

A measure representation of protein sequences similar to the measure representation of DNA sequences proposed in our previous paper [Yu et al., Phys. Rev. E 64, 031903 (2001)] and another induced measure are introduced. Multifractal analysis is then performed on these two kinds of measures of a large number of protein sequences derived from corresponding complete genomes. From the values of the...

متن کامل

Multifractal Spectra and Multifractal Rigidity for Horseshoes

We discuss a general concept of multifractality, and give a complete description of the multifractal spectra for Gibbs measures on two-dimensional horseshoes. We discuss a multifractal characterization of surface diffeomorphisms.

متن کامل

Measure representation and multifractal analysis of complete genomes.

This paper introduces the notion of measure representation of DNA sequences. Spectral analysis and multifractal analysis are then performed on the measure representations of a large number of complete genomes. The main aim of this paper is to discuss the multifractal property of the measure representation and the classification of bacteria. From the measure representations and the values of the...

متن کامل

New Results in Multifractal Traffic Analysis and Modeling

An alternative but very promising approach of traffic modeling is the use of fractal characterization to describe the high variability and bursty nature of network traffic. The aim of this dissertation is to contribute to this research approach, more precisely, to solve some problems in statistical testing, traffic characterization, modeling, and performance evaluation. First, the implications ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2001