Calculate the total number of possible dodecanucleotides that can be synthesized

Question

Calculate the total number of possible dodecanucleotides that can be synthesized using the four nucleotides found in RNA. What is the maximum number of peptide sequences that can be encoded by this collection of dodecanucleotides using all 20 amino acids? (Assume that none of the trinucleotides are termination codons.) Explain why amylose and cellulose, both polymers of glucose, are not of equal nutritional value to humans. Explain why horses, which have similar digestion enzymes encoded in their genomes to those of humans, can live on

Explanation / Answer

Ans 3) Since a given base has a one fourth probability of occuring at any nucleotide position (assuming the RNA has equal proportion of all bases). {Suppose there are 10000 bases where all the nucleotides (Adenine, Guanine, Cytosine and Uracil)are equally present having 2500 bases of nucleotides of each.}

Here in the question, all nucleotide can be placed in various possible position to form a RNA stucture. We know there are 4 nucleotide and they can form a lenght of 256 bases by 44. In 256 bases there will be 256/12 = 21.33.

Therefore, there will be 21.33 no. of dodecanucleotides which can be synthesised using four nucleotides in RNA.

3 nucleotide codes for a codon which ultimately codes for an amino acid. So, dodecanucleotide contains 12 nucleotides which codes for 4 codons which translated to form one tetrapeptide.

Therefore, 21 docecanucleotide will form 21 tetrapeptide.

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