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Multifractal characterisation of length sequences of coding and noncoding segments in a complete genome

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  • Yu, Zu-Guo
  • Anh, Vo
  • Lau, Ka-Sing

Abstract

The coding and noncoding length sequences constructed from a complete genome are characterised by multifractal analysis. The dimension spectrum Dq and its derivative, the ‘analogous’ specific heat Cq, are calculated for the coding and noncoding length sequences of bacteria, where q is the moment order of the partition sum of the sequences. From the shape of the Dq and Cq curves, it is seen that there exists a clear difference between the coding/noncoding length sequences of all organisms considered and a completely random sequence. The complexity of noncoding length sequences is higher than that of coding length sequences for bacteria. Almost all Dq curves for coding length sequences are flat, so their multifractality is small whereas almost all Dq curves for noncoding length sequences are multifractal-like. It is seen that the ‘analogous’ specific heats of noncoding length sequences of bacteria have a rich variety of behaviour which is much more complex than that of coding length sequences. We propose to characterise the bacteria according to the types of the Cq curves of their noncoding length sequences. This new type of classification allows a better understanding of the relationship among bacteria at the global gene level instead of nucleotide sequence level.

Suggested Citation

  • Yu, Zu-Guo & Anh, Vo & Lau, Ka-Sing, 2001. "Multifractal characterisation of length sequences of coding and noncoding segments in a complete genome," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 301(1), pages 351-361.
    • Handle: RePEc:eee:phsmap:v:301:y:2001:i:1:p:351-361
    DOI: 10.1016/S0378-4371(01)00391-0
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    References listed on IDEAS

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    1. Hao, Bailin & Xie, Huimin & Yu, Zuguo & Chen, Guo-yi, 2000. "Factorizable language: from dynamics to bacterial complete genomes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 288(1), pages 10-20.
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    Cited by:

    1. Huang, Da-Wen & Yu, Zu-Guo & Anh, Vo, 2017. "Multifractal analysis and topological properties of a new family of weighted Koch networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 695-705.

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