Abstract
We deduce the Fisher information equation in terms of DNA research from its formal definition...
Highlights
Research on DNA sequences is the focus of modern life science
We apply the general information model to deduce four kinds of information quantities used in DNA sequence analysis and analyze the statistical results cited from Ref. [15] on the scope of similar rules
This paper generalizes the concept of geographical remote sensing information model and extends it to a general information model
Summary
By finding the similar rules corresponding to different methods to measure information, we apply the general information model to four kinds of information quantities and attain respective equations in DNA research domain. Because of the difference of measurement, the similar rules of Shannon’s entropy differ from those of Fisher information. We discuss the relations between each of the four information quantities and the k-tuple word length k of DNA sequences of 16 typical genomes, respectively. We find that the difference between Shannon’s entropy versus k and Fisher information versus k may be in accordance with the discrepancy between their similar rules. Since DNA sequences are generally close to random sequences, the similar rules of Shannon’s entropy of different living organisms in word domain are similar and such similarity provides a convincing explanation to the universal linear relation existing among the studied species
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