This section calculates the Linking Number (Lk) and Base Pairs per Turn (BPT) for the given DNA molecule based on its topological properties.
The Linking Number (Lk) represents the total number of times one DNA strand winds around the other. It is determined by the sum of the Topological Winding Number (Tw) and the Writhing Number (Wr).
Formula: $ Lk = Tw + Wr $
Given Values:
Calculation:
$ Lk = 191 + (-4) $
$ Lk = 191 - 4 $
$ Lk = 187 $
The calculated Linking Number is $187$.
The Number of Base Pairs per Turn (BPT) indicates the helical pitch of the DNA under specific conditions. It is calculated by dividing the total number of base pairs in the DNA molecule by its Linking Number.
Formula: $ BPT = \frac{\text{Total Base Pairs}}{\text{Linking Number}} $
Given Values:
Calculation:
$ BPT = \frac{2000}{187} $
$ BPT \approx 10.695187... $
Rounding to two decimal places, the calculated Number of Base Pairs per Turn is $10.69$.
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?