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

Zu-Guo Yu·Vo Anh·Ka-Sing Lau
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Abstract

The coding and noncoding length sequences constructed from a complete genome are characterised by multifractal analysis. The dimension spectrum $D_{q}$ and its derivative, the 'analogous' specific heat $C_{q}$, 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 $% D_{q}$ and $C_{q}$ 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 $D_{q}$ curves for coding length sequences are flat, so their multifractality is small whereas almost all $D_{q}$ curves for noncoding length sequences are multifractal-like. We propose to characterise the bacteria according to the types of the $C_{q}$ curves of their noncoding length sequences.

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Zu-Guo Yu, Vo Anh, Ka-Sing Lau. 2001-08-28. Multifractal characterisation of length sequences of coding and noncoding segments in a complete genome. https://doi.org/10.1016/s0378-4371(01)00391-0

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