Of course, DNA has the capacity to transmit information when compared to Shannon's theory. Since DNA contains instructions for building proteins, the cell's gene expression system acts as a communication channel.
DNA certainly has the capacity to transmit information if measured by Shannon's theory, since DNA contains the instructions for building proteins; the cell's gene expression system acts as a communication channel, and the nucleotide bases act as alphabets within this system, and this enabled scientists to calculate the information transfer capacity in DNA using the Shannon equation, and given the possibility of any one of the four nucleotide bases (A, G, and C) (1 to 4) and so on.
The information transfer amplitude of a sequence of a given length n can be calculated using Shannon's famous formula (I * -log2p) by simply calculating the probability value p for a sequence of length n nucleotides, as in the case of DNA, p produces a p value if a corresponding measure of information carrying capacity or structural information for a sequence of length n nucleotides.
Just as mathematicians and engineers can apply Shannon's theory to analyze a written text or an encrypted transmission or part of a computer program, mathematical biologists can apply this theory to analyze the information transfer capacity of a DNA, RNA or protein molecule, which was what Charles Thaxton meant when he told me in Dallas in 1985 that the way to deal with DNA and the way to deal with an English text are "mathematically identical".
Yes, in many ways, the possibility of carrying information in DNA or encoding information using chemical monograms that act as alphabets is certainly amazing, and it is also amazing that DNA is part of a communication channel that can be easily analyzed using mathematical tools.
- Dr. Steven Meyer.
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Source: Published on Facebook's "Braheen Center" page