How many 3-tuples are possible for the following amino acid sequence?
MADCMWDISEASE
A 3-tuple, in this context, refers to a consecutive subsequence of three amino acids within the given sequence.
The provided amino acid sequence is: MADCMWDISEASE
First, determine the total number of amino acids in the sequence. Counting each letter:
To find the number of possible 3-tuples, we can list them starting from each possible position:
Counting these listed 3-tuples, we find there are 11 possible combinations.
Alternatively, the number of k-length subsequences (tuples) in a sequence of length $N$ is given by the formula: $N - k + 1$.
In this case, $N = 13$ and $k = 3$.
Number of 3-tuples = $13 - 3 + 1 = 11$.
Therefore, there are 11 possible 3-tuples.
Consider the following multiple sequence alignment of four DNA sequences.
$\begin{matrix}A & C & T & A \\ A & C & T & G \\ A & G & T & C \\ A & G & C & T \end{matrix} $
Shannon's entropy of the above alignment is ________.
The transcription factor X binds a 10 base pair DNA stretch. In the DNA of an organism, X was found to bind at 20 distinct sites. An analysis of these 20 binding sites showed the following distribution:
| Base | Position in the binding site | |||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | |
| A | 11 | 0 | 0 | 0 | 16 | 2 | 4 | 0 | 4 | 3 |
| T | 3 | 0 | 19 | 0 | 1 | 3 | 4 | 20 | 2 | 4 |
| G | 4 | 20 | 0 | 0 | 2 | 4 | 6 | 0 | 12 | 2 |
| C | 2 | 0 | 1 | 20 | 1 | 11 | 6 | 0 | 2 | 11 |
What is the consensus sequence for the binding site of X?